2: Angle 1 and Angle 4 are vertical angles. If the measure of angle 1 equals 3x + 14 and the
measure of angle 4 equals 5x − 52, what is the measure of Angle 1?
3: Suppose that ∠ = 3x + 8 and ∠ = 2/3x + 62
If ∠ and ∠ are supplementary
angles, what is the measure of ∠?
4:Angle 2 and Angle 3 are vertical angles. If the measure of angle 2 equals 13x + 27 and the
measure of angle 3 equals 9x + 59, find the value of .
5: Suppose that m∠ABC = 163° and ∠XYZ = 5x + 2. If ∠ABC and ∠XYZ are supplementary
angles, determine the value of x
Answers
2. The measurement of angle 1 is 113°
3. The measure of ∠1 = 98° and ∠2 = 82°
4. The value of x is 8.
5. The value of x is 3.
What is the supplementary angle?
Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.
2.
Given that, ∠1 and ∠4 are vertical angle.
According to the vertical angle theorem, if two angles are vertical then they are congruent.
Therefore,
∠1 = ∠4
3x + 14 = 5x − 52
Subtract 5x from both sides:
3x - 5x + 14 = -52
-2x + 14 = -52
Subtract 14 from both sides:
-2x = -66
x = -33
Putting x = -33 in ∠1 = 3x + 14
∠1 = 3× 33 + 14 = 113°
3.
Given that, ∠1 = 3x + 8 and ∠2 = 2/3x + 62 are supplementary angles.
Therefore ∠1 + ∠2 = 180°
3x + 8 + 2/3x + 62 = 180°
11/3 x + 70 = 180°
Subtract 70 from both sides:
11/3 x = 110
x = 110 × (3/11)
x = 30
Putting x = 30 in ∠1 = 3x + 8 and ∠2 = 2/3x + 62
∠1 = 3x + 8 = 3×30 + 8 = 98°
∠2 = 2/3x + 62 = (2/3)×30 + 62 = 82°
4.
Given that, Angle 2 and Angle 3 are vertical angles. If the measure of angle 2 equals 13x + 27 and the measure of angle 3 equals 9x + 59.
Therefore,
∠2 = ∠3
13x + 27 = 9x + 59
Subtract 9x from both sides:
13x - 9x + 27 = 9x -9x +59
4x +27 = 59
Subtract 27 from both sides:
4x = 32
x = 8
5. Given that m∠ABC = 163° and ∠XYZ = 5x + 2 are supplementary angles.
m∠ABC + m∠XYZ =180°
163° + 5x + 2 =180°
165 + 5x = 180
Subtract 165 from both sides:
5x = 15
x = 3
To learn more about vertical angle click on below link:
https://brainly.com/question/24566704
#SPJ1
Answer:
2) m∠1 = 113°
3) 98° and 82°
4) x = 8
Angles = 131°
5) x = 3
Step-by-step explanation:
Question 2If Angle 1 and Angle 4 are vertical angles, then according the Vertical Angles Theorem they are congruent.
Therefore:
⇒ m∠1 = m∠4
⇒ 3x + 14 = 5x - 52
⇒ -2x + 14 = -52
⇒ -2x = -66
⇒ x = 33
To find the measure of Angle 1, substitute the found value of x into the expression for the angle:
⇒ m∠1 = 3x + 14
⇒ m∠1 = 3(33) + 14
⇒ m∠1 = 99 + 14
⇒ m∠1 = 113°
Question 3Given:
∠ = 3x + 8∠ = ²/₃x + 62If the angles are supplementary, they sum to 180°:
⇒ 3x + 8 + ²/₃x + 62 = 180
⇒ ¹¹/₃x + 70 = 180
⇒ ¹¹/₃x = 110
⇒ 11x = 330
⇒ x = 30
Substitute the found value of x into the expressions for the angles:
⇒ ∠ = 3x + 8
⇒ ∠ = 3(30) + 8
⇒ ∠ = 98°
⇒ ∠ = ²/₃x + 62
⇒ ∠ = ²/₃(30) + 62
⇒ ∠ = 82°
Question 4If Angle 2 and Angle 3 are vertical angles, then according the Vertical Angles Theorem they are congruent.
Therefore:
⇒ m∠2 = m∠3
⇒ 13x + 27 = 9x + 59
⇒ 4x + 27 = 59
⇒ 4x = 32
⇒ x = 8
Substitute the found value of x into the expressions for the angles:
⇒ m∠2 = 13x + 27
⇒ m∠2 = 13(8) + 27
⇒ m∠2 = 104 + 27
⇒ m∠2 = 131°
⇒ m∠3 = 9x + 59
⇒ m∠3 = 9(8) + 59
⇒ m∠3 = 72 + 59
⇒ m∠3 = 131°
Question 5Given:
m∠ABC = 163° m∠XYZ = 5x + 2If ∠ABC and ∠XYZ are supplementary, they sum to 180°:
⇒ m∠ABC + m∠XYZ = 180°
⇒ 163 + 5x + 2 = 180
⇒ 5x + 165 = 180
⇒ 5x = 15
⇒ x = 3
Related Questions
Describe a rigid motion or composition of rigid motions that maps the rectangular bench at (10,0) and the adjacent flagpole onto the other short rectangular bench and flagpole
Answers
Answer:
The answer is below
Step-by-step explanation:
Describe a rigid motion or composition of rigid motions that maps the rectangular bench at (0,10) and the adjacent flagpole onto the other short rectangular bench and flagpole
Solution:
The other short rectangular bench is at (0, -10), while the short flagpole at (2, 10)
Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation and translation.
If a point X(x, y) is reflected across the x axis, the new point is (x, -y)
If a point X(x, y) is reflected across the y axis, the new point is (-x, y)
Therefore the rectangular bench at (0,10) is reflected across the x axis to give the other short rectangular bench at (0, -10) while the adjacent flagpole at (-2,10) is reflected across the y axis to give the other flagpole at (2, 10)
no links
Suppose that the probability that your
mail is delivered before 2 pm is .90.
What is the probability that your
mail
will be delivered before 2 pm for two
consecutive days? Give your answer as
a decimal.
Answers
Answer:
The probability is 0.81
Step-by-step explanation:
The probability we want to find here is that;
the mail was delivered before 2 pm the first day and also delivered before 2 pm the next day
what we have to do here is to
multiply together, the probability in the two cases (for both days)
So we have this as:
0.9 * 0.9 = 0.81
Answer:
.81
Step-by-step explanation:
3 (3+4k)=45 can you help me with this one
Answers
Given 3 ( 3 + 4k ) = 45
So, divide both sides by 3
3 + 4k = 45/3
3 + 4k = 15
subtract 3 from both sides
3 + 4k - 3 = 15 - 3
4k = 12
divide both sides by 4
k = 12/4 = 3
So, the value of k = 3
Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).
Answers
the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3) are (1/2, 1, 3/2).
What do you understand by equidistant points?Equidistant is a synonym for "equally distant," which is the state of two points being at the same distance from one another. Equidistant implies at the same distance from a location. The term "equidistant" is commonly used in reference to circles, perpendicular bisectors, parallel lines, and other geometrical concepts .Equidistant refers to the relationship between two or more objects or points that are situated at the same distance from one another. A point is considered to be equidistant from two other points when they are both located at the same distance from it. In the middle of the two starting points is a midway. The distance formula or the halfway formula can be used to demonstrate this.
Equation of sphere passes through origin is given by
x2 + y2 + z2 + ax + by+ cz =0
Given, it also passes through (1,0,0), (0,2,0),(0,0,3)
1+ a = 0, a = -1
4+2b =0, b=-2
And, 9+3c = 0, c= -3
The equation of the sphere becomes x2 +y2+ z2 -x -2y -3z = 0
Comparing with x2 +y2+ z2+ 2gx +2fy +2kz +C =0
Therefore the point that is equidistant from all the given points will be the centre of the sphere passing through all these points.
To know more about equidistant points, visit:
https://brainly.com/question/28038252
#SPJ4
Hi can someone check my work and make sure I got it all right? I got a decimal on number 5 which is why I’m unsure If I got it right or wrong
Answers
All the answers are correct, but the 5th one is wrong, the correct answer for the 5th question is y = 6.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
The answer of 5th question,
The given expression is,
(5y - 3)/63 = 9/21
105y -63 = 567
105y = 630
y = 630/105
y = 6.
To know more about expression:
https://brainly.com/question/14083225
#SPJ1
2. Please use the earliest deadline first scheduling algorithm to construct a schedule (1.e.. execution sequence) of the following task set: T1 = {2ns, Sns, Sns), Tz = {4ns, 7ns, 7ns} during a period of 22 ns. Here the notation Ti = {eu Pi, D} gives the execution time e; period P. and deadline of task t (20 points)
Answers
The schedule is as follows:
T1 -> T2 -> T1 -> T3 -> T1 -> T2 -> T1.
To construct a schedule using the Earliest Deadline First (EDF) scheduling algorithm, we need to consider the execution time, period, and deadline of each task and assign them priorities based on their deadlines. The task with the earliest deadline will be scheduled first. Let's create a schedule for the given task set:
Task T1: Execution time (e) = 2 ns, Period (P) = 5 ns, Deadline (D) = 5 ns
Task T2: Execution time (e) = 4 ns, Period (P) = 7 ns, Deadline (D) = 7 ns
Task T3: Execution time (e) = 7 ns, Period (P) = 7 ns, Deadline (D) = 7 ns
We have a period of 22 ns, and we need to schedule these tasks within that period. Let's start with the task with the earliest deadline:
At time 0 ns: Execute T1 (2 ns)
At time 2 ns: Execute T2 (4 ns)
At time 6 ns: Execute T1 (2 ns)
At time 8 ns: Execute T3 (7 ns)
At time 15 ns: Execute T1 (2 ns)
At time 17 ns: Execute T2 (4 ns)
At time 21 ns: Execute T1 (2 ns)
This completes the execution of all tasks within the given period of 22 ns. The schedule is as follows:
T1 -> T2 -> T1 -> T3 -> T1 -> T2 -> T1
In this schedule, we have followed the EDF algorithm by selecting tasks based on their deadlines. The task with the earliest deadline is always scheduled first to meet the timing requirements of the system.
To learn more about EDF algorithm, click here: brainly.com/question/28501187
#SPJ11
Apples are $1.79 per lb at Food Lion. If I purchase 3.8 lbs, how much sure I expect to pay?
Answers
Answer:
$6.80
Step-by-step explanation:
1.79 x 3.8 = 6.802
So $6.80
The second of 3 times the first.the thirdnumberis 2 more than the second numberseven less then twice the second is the same as 12 more then the third number find all 3 numbers
Answers
Let's represent the three numbers as x, 2x, and 2x + 2. By analyzing the given information, we can determine that the three numbers are 8, 16, and 18.
Let's break down the given information step by step.
First, it is stated that the second number is the second of three times the first number. Mathematically, this can be expressed as 2x = 3x, where x represents the first number. By solving this equation, we find x = 0.
Next, we are told that the third number is 2 more than the second number. Since the second number is 2x, the third number can be expressed as 2x + 2.
Finally, it is mentioned that seven less than twice the second number is the same as 12 more than the third number. Mathematically, this can be written as 2(2x) - 7 = 2x + 2 + 12. By solving this equation, we find x = 8.
Substituting the value of x into our equations, we determine that the three numbers are 8, 16, and 18. Thus, the first number is 8, the second number is 16 (2x), and the third number is 18 (2x + 2).
Learn more about equation here:
https://brainly.com/question/27893282
#SPJ11
Solve the system with elimination.
x - 2y = 4
3x + y = 6
? ]
![Solve the system with elimination.x - 2y = 43x + y = 6? ]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/AuQahlzUK1sCqNsiH9vEiOgb4h5CbM9s.png)
Answers
![Solve the system with elimination.x - 2y = 43x + y = 6? ]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/nA7HdYdYMoGVAOPyt7ElCjsu4QVallAd.png)
For elimination I will multiply the first equation by -3 to get the x to cancel
x - 2y = 4 --> -3x + 6y = -12
Now we bring back the other equation and treat it like an addition problem:
-3x + 6y = -12
3x + y = 6
+———————
7y = -6
y = -6/7
To get x we will use this y-value and plug it into one of the equations:
3x + y = 6,
3x + (-6/7) = 6
3x - 6/7 = 6
3x = 48/7
x = 16/7
So the solution is x = 16/7, y = -6/7, and if you are ever unsure you can put both of these values into both system of equations to see if the equations are true.
chris has been given a list of bands and asked to place a vote. his vote must have the names of his favorite and second favorite bands from the list. how many different votes are possible?
Answers
There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.
To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.
Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.
Therefore, the number of different votes possible is m * (m-1) / 2.
In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.
Know more about factorialhere:
https://brainly.com/question/18270920
#SPJ11
Find the arc length of the partial circle.
Answer in terms of π or use 3.14, and enter your answer as a decimal.
Answers
\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
\(\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)\)
\(\qquad \tt \dashrightarrow \: arc = 8 \times \dfrac{ \pi}{2} \)
\(\qquad \tt \dashrightarrow \: arc = 4 \pi \dfrac{ }{} \: \: units\)
or
\(\qquad \tt \dashrightarrow \: arc = 4 \times 3.14 = 12.56 \: \: units\dfrac{ }{} \: \: \)
Arc length
L=r\(\theta\)L=8(π/2)L=4πL=12.6unitsWhat will be the value stored in the variable x after the execution of the following code snippet?
int a = 10;
int b = 20;
int c = 2;
int x = b / a /*c*/;
a) 1
b) 2
c) 4
d) The code has a syntax error
Answers
The value stored in the variable x after the execution of the following code snippet will be b) 2.
The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.
Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.
To learn more about code snippet: https://brainly.com/question/29845639
#SPJ4
distribute -x(7x+3).
Answers
Answer:
-7x^2-3x
Step-by-step explanation:
-x * 7x + (-x) * 3
-7xx-3x
-7x^2-3x
someone help please thank you
Answers
Answer:
distance = (62t) + 22
Step-by-step explanation:
Distance = speed * time
distance = (62*t) + 22
Hope this helps!
you want to estimate the average time college students spend studying per week. you know that the population standard deviation for studying time per week for college students is 3.5 hours. you want a 99% confidence interval with a margin of error of 30 minutes (0.50 hours). how many students do you need in your study?
Answers
You need a sample size of approximately 82 students to estimate the average time college students spend studying per week with a 99% confidence interval and a margin of error of 30 minutes (0.50 hours).
To determine the sample size, we will use the formula given below;
Where, n = sample size
Zα/2 = the z-score associated with the level of confidence
α = level of significance
σ = population standard deviation
d = margin of error of the estimation.
Substituting the given values, we have; n = [(Zα/2 * σ)/d]^2
We are given the population standard deviation, σ = 3.5 hours.
We are also given the margin of error, d = 0.5 hours.
We need to find the value of Zα/2 at 99% confidence level.
Since the sample size is large enough, we can use the z-distribution to find the z-value.
The area under the standard normal distribution curve for a 99% confidence level is as shown below;
Using the z-tables, the value of Zα/2 for a 99% confidence level is 2.576.
Substituting the values into the formula; n = [(Zα/2 * σ)/d]^2n = [(2.576 * 3.5)/0.5]^2= (9.006)^2= 81.12
Since we need a whole number for the sample size, we round up the value to get 82.
However, since the standard deviation of the population is known, we can use the z-distribution to construct a confidence interval for the population mean. This will give us an accurate interval estimate of the population mean.
To know more about standard deviation: https://brainly.com/question/24754716
#SPJ11
HELP ASAP!!! please, I need help
Answers
Your answer would be be subtract 3
hope it helps
Hope that
Helped u
What property of operations will be used to simplify the product of a binomial and trinomial? *
Answers
Answer:
Distributive property.
Step-by-step explanation:
A distributive property is a rule that states that, multiplying two factors such as a binomial and trinomial would give the same result as multiplying the sum of two addends by the other factor.
Hence, the distributive property is used to simplify the product of a binomial and trinomial.
For example, let's find the product of (2x + 4)(5x² + 3x + 10)
First of all, we would distribute trinomial into each of the term in the binomial.
2x(5x² + 3x + 10) + 4(5x² + 3x + 10)
Distributing the monomial into the trinomial, we have;
2x(5x²) + 2x(3x) + 2(10) + 4(5x²) + 4x(3x) + 4(10)
Expanding the bracket, we have;
10x³ + 6x² + 10 + 20x² + 12x² + 40
Collecting like terms, we have;
10x³ + (6x² + 20x² + 12x²) + 10 + 40
10x³ + 38x² + 50
Therefore, (2x + 4)(5x² + 3x + 10) = 10x³ + 38x² + 50
can someone pls help!!
Answers
Answer:
\(y=-\frac{1}{9}(x-2)^2-3\)
Step-by-step explanation:
When a quadratic equation is in the form \(y=a(x-h)^2+k\) (vertex form):
The x-coordinate can be found by identifying which value makes \((x-h)^2\) equal 0The y-coordinate can be found by identifying the k value (y=k)Therefore, if the vertex of the function is at (2,-3), h needs to be 2 for \((x-h)^2\) to equal 0 and k needs to be -3. The only equation that displays this is G:
\(y=-\frac{1}{9}(x-2)^2-3\)
I hope this helps!
Jamey is taking a test that has 57 questions. So far, she has answered 48 questions correctly. How many more questions must she answer correctly, so that her total
score of questions answered correctly will be 90%? Assume she can't get partial credit for any problem.
Answers
Answer:
Jamey can answer 9 more questions.
Step-by-step explanation:
57-48= 9
Y=-3x-1 find the solution
Answers
The equation Y=-3x-1 represents a linear relationship between x and y, and can be used to model real-world situations such as distance vs. time or cost vs. quantity.
The equation Y=-3x-1 represents a straight line on a coordinate plane. The "slope-intercept" form of the equation is y=mx+b, where m is the slope and b is the y-intercept.
In this case, the slope is -3 and the y-intercept is -1. This means that the line goes downwards at a rate of 3 units for every 1 unit to the right, and intersects the y-axis at -1.
To find the solution to this equation, you would need to have a specific value for either x or y.
If you were given a value for x, you could plug it into the equation to find the corresponding value for y. If you were given a value for y, you could solve for x by rearranging the equation.
To learn more about : equation
https://brainly.com/question/17145398
#SPJ11
Plzzz help me it’s due tonight!!!!!
Answers
Answer:
UV=5, VW=5\(\sqrt{3}\), and m∠U=60
Step-by-step explanation:
sin 30=UV/10=>0.5=UV/10=>UV=5
VW=√(10²-5²)=√75=5√3
m∠U=180-90-30=60
Write the equation of this function in the form y=x+b X 0 4 12 у 6 10 18
Answers
Step1: Pick 2 points in the table:
(0,6) and (4,10)
Step2: Recall the formula for the slope of a line.
\(\text{Slope =}\frac{y_2-y_1}{x_2-x_1}\)Step3: Substitute the values of the coordinates in the above formula.
\(\begin{gathered} (0,6)\Rightarrow x_1=0;y_1=6 \\ (4,10)\Rightarrow x_2=4;y_2=10 \end{gathered}\)Step4:
\(\text{Slope =}\frac{10-6}{4-0}=\frac{4}{4}=1\)Step5: Invoke the formula for the equation of the line.
\(\begin{gathered} y-y_1=slope(x-x_1) \\ y-6=1(x-0) \\ y-6=x \\ y=x+6 \end{gathered}\)Hence, the correct answer is y = x + 6
why do people say that you should have one litter box per cat plus one litter boxes in multi-cat households?
Answers
Some cats may prefer different types of litter or litter box placements, so it's always best to observe your cats' behavior and adjust accordingly.
The general guideline of having one litter box per cat plus one extra in multi-cat households is to ensure that all cats have access to a clean and comfortable litter box, which is essential for their health and well-being. Cats are very clean animals by nature, and they tend to avoid using dirty or smelly litter boxes. In a multi-cat household with only one or a few litter boxes, there may be competition between cats for access to the litter box, leading to conflicts and inappropriate elimination outside the litter box.
Having enough litter boxes also helps prevent the buildup of waste and odors, which can be unhealthy for both cats and humans sharing the same living space. It's important to note that this guideline is not a hard and fast rule and may vary depending on factors such as the size of the house, the number of floors, and the cats' individual preferences. Some cats may prefer different types of litter or litter box placements, so it's always best to observe your cats' behavior and adjust accordingly.
Learn more about types from
https://brainly.com/question/3350791
#SPJ11
If you help ill give brainliest
Answers
Answer:
In a short way answer, it will be 8 miles per hour
What is the slope
A. 2
B. 4
C. 5
Answers
We know the slope formula.
=> \(\frac{y_{2} -y_{1} }_{x_{2}-x_{1} } }\)=> \(\frac{16-12}{7-5}\)=> \(\frac{4}{2}\)=> \(2\)Conclusion:Therefore, the slope is 2.
Hoped this helped.
\(BrainiacUser1357\)
Here is the charge at a car park in Spain.
Carpark
0. 024 euros per minute
Jon parked his car in this car park.
Jon drove into the car park at 10:45
When he drove out of the car park he had to pay 8. 40 euros.
At what time did Jon drive out of the car park?
Your answer
Answers
Jon parked his car at 10:45, and he drove out at 10:45 + 350 minutes = 17:35 (5:35 pm).
Let's assume Jon parked his car for "t" minutes.
Total charge for parking = 0.024 * t euros
We know that Jon paid 8.40 euros for parking, so we can set up the following equation:
0.024t = 8.40
Solving for "t":
t = 350
This means Jon parked his car for 350 minutes.
If he drove in at 10:45, he would have driven out at:
10:45 + 350 minutes = 5:35 PM (17:35).
Learn more about the equation
https://brainly.com/question/29657983
#SPJ4
Rectangle ABCD has coordinates A(0,0), B(0,4), C(3, 0), and D(3, 4). If the
polygon is translated 3 units up, what are the coordinates of B'?
Answers
Hello~
The answer is C. (3,0)
Hope this helps!
Ary~
help me please! thanks bud
Answers
Answer:
Steps:
1. Draw a 3 x 3 table
2. Place the titles on the left and top of the table (play sports and don't play sports on left for example and instruments on top)
3. Place the numbers inside accordingly
Hope this helped! Please mark brainliest!
Which expressions are equivalent to g16? Check all that apply.
Answers
The equivalent expressions are (6^(-4) )^(-4), (6^(-2) )^(-8) and (6^8 )^2
Using exponent property, we have
\((a^{m})^{n} = a^{m*n}\)
The given expressions is 6^16
From the question, we have
(6^0 )^16=6^(0×16)
⇒6^0 ≠ 6^16
(6^8 )^8=6^(8×8)
⇒6^64 ≠ 6^16
(6^(-4) )^(-4)=6^(-4x-4)
⇒6^16
(6^(-2) )^(-8)=6^(-2×-8)
⇒6^16
(6^(-1) )^16=6^(-1×16)
⇒6^(-16)≠6^16
(6^8 )^2=6^(8×2)
⇒6^16
Multiplication:
In mathematics, multiplying the numbers is used to find the product of two or more numbers. We frequently perform one of the basic mathematical operations. The simplest basic application is to use multiplication tables. Mathematicians multiply two integers to express the repetitive addition of one number to another. It is possible to contain natural numbers, fractions, integers, whole numbers, and other forms of numbers. M would either be added to itself 'n' times or subtracted from itself when M is multiplied by n.
Complete question:
Which expressions are equivalent to 6^16?
To learn more about multiplication visit: https://brainly.com/question/5992872
#SPJ1
Simplify \[ -10 x^{2}+4 x-7 x^{2}+5 \]
Answers
Algebraic expressions are mathematical statements made up of variables, constants, and operations, which can be simplified to -17x²+4x+5.
Given expression: -10x²+4x-7x²+5.A mathematical statement made up of variables, constants, and mathematical operations is known as an algebraic expression. It stands for a mixture of numbers and letters, where the letters are called variables and they can have various values. In algebra, relationships are represented and calculations are done using algebraic expressions.
The given expression can be simplified as:
Adding the like terms together,
we get,-10x²-7x²+4x+5
= -17x²+4x+5
Thus, the simplified expression is -17x²+4x+5.
To know more about Algebraic expressions Visit:
https://brainly.com/question/953809
#SPJ11