Based on the information marked in the diagram mnp and qrs must be congruent
Answers
Answer: True
Step-by-step explanation:
In triangles MNP and QRS:
NP=RS (hypotenuses);
∠P=∠S (acute angles).
Then, triangles MNP and PRS are congruent by HA theorem.
which makes the answer true
Answer:
True
Step-by-step explanation:
I just took the test, A-p-e-x
Related Questions
what is the equation of the line that passes through (6,2) and (8,0)
Answers
Answer:
y = -x + 8
Step-by-step explanation:
First find the slope (m):
m = (0-2) / (8-6) = -1
Next put one of the points (I pick (8,0)) into the point-slope formula:
y-y1 = m(x-x1)
y-0 = -1(x-8)
Now write it in slope-intercept form:
y = -x + 8
If Ois an angle in standard position and its terminal side passes through the point(5.-9), find the exact value of sec 0 in simplest radical form,
Answers
SOLUTION
Let us make a simple diagram of the position of the angle using the points (5, -9).
Now, from the right angled triagle in the diagram, let us find the hypotenues, using the Pythagoras theorem.
From the Pythagoras theorem
\(\begin{gathered} h^2=5^2+9^2 \\ h^2=25+81 \\ h=\sqrt[]{106} \end{gathered}\)Now,
\(\begin{gathered} \cos \theta=\frac{adjacent}{\text{hypotenuse }}=\frac{5}{\sqrt[]{106}} \\ \cos \theta=\frac{5}{\sqrt[]{106}} \\ \text{Also, in this quadrant, cos}\theta\text{ is positive } \end{gathered}\)Then
\(\begin{gathered} \sec \theta=\frac{1}{\cos \theta} \\ \sec \theta=\frac{\sqrt[]{106}}{5} \end{gathered}\)Hence, the answer is
\(\sec \theta=\frac{\sqrt[]{106}}{5}\)
QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.
Answers
Answers:
a) There are 5 termsb) Degree = 7c) The value is -1==========================================
Explanation:
a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.PLS HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
What are the vertical and horizontal asymptotes for the function f(x)=3^2/x^-4
O horizontal asymptote: y = -2, y = 2
vertical asymptote: x = 3
O horizontal asymptote: y = -4, y = 1
vertical asymptote: x = 3
O horizontal asymptote: y = 3
vertical asymptote: x=-4, x=1
O horizontal asymptote: y = 3
vertical asymptote: x= -2, x=2
3x²242
?
-4
Answers
The vertical asymptotes x = - 2, 2 and Horizontal asymptotes y = 3
Option A is the correct answer.
What are Function?Function are mathematical statement which links an independent variable to dependent variable.
It always comes with a defined domain and range.
The equation mentioned is incorrect in the question w.r.t. to the solutions mentioned, The right equation is
\(\rm f(x) = \dfrac{3 x^2}{x^{2}-4}\)
This function can also be written as
\(\rm f(x) = \dfrac{3 x^2}{x^{2}-2^2}\\\\\rm f(x) = \dfrac{3 x^2}{(x+2)(x-2)}\)
Vertical asymptotes are defined when the denominator of a rational function tends to zero.
To find the equation/s let the denominator equal zero.
Denominator tends to zero for x = -2 and x = +2
Horizontal Asymptote is when the function f(x) is tending to zero.
for x = +∞ and x = - ∞
Let the rational function \(f(x)= \dfrac{mx^a}{nx^b}\) where and a and b are degree of numerator and denominator.
If a < b , then the y axis y = 0 is a horizontal asymptote.
If b = a then horizontal asymptote is the line y = p/q
Here the value is b = 2 and a = 2
Since b = a the horizontal asymptote is the line
y = m/n where m = 3 and n = 1
Therefore y = 3
So , vertical asymptotes x = - 2, 2
Horizontal asymptotes y = 3
Option A is the correct answer.
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Answer:
A
Step-by-step explanation:
just took the test
Solve for x: 3(x + 1) = −2(x − 1) + 6. (1 point)
1
4
5
25
Answers
Answer: 1
Step-by-step explanation:
You are welcome :)
What is 24+9-4x2+11×2?
Answers
Answer:
47
Step-by-step explanation:
24+9-4×2+11×2
24+9-8+22
=47
\(\huge\text{Hey there!}\)
\(\large\boxed{\mathsf{24+9-4\times2+11\times2}}\\\large\boxed{\mathsf{= 33 - 4\times 2 + 11\times2}}\\\large\boxed{\mathsf{= 33 - 8 + 11\times2}}\\\large\boxed{\mathsf{= 25 + 11\times2}}\\\large\boxed{\mathsf{= 25 + 22}}\\\large\boxed{\mathsf{= 25 + 22}}\\\large\boxed{\mathsf{= 47}}\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{47}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\huge\boxed{\frak{Amphitrite1040:)}}\)
A teacher offers 8 extra credit assignments.what is the domain of this graph
Answers
This is the answer because you’re given 8 coordinate points and the domain is also known as the x value which is the x axis so those numbers are 0-8
Angela has a collection of nickels and quarters worth $8.80. If she has 68 total nickels and quarters, how many quarters does she have?
Answers
So $8.80 - $3.40 is equal to $5.40 and $5.40 divided by ¢.25 is 21.6.
The number of nickels are 41 and the number of quarters are 27.
Given that, Angela has a collection of nickels and quarters worth $8.80.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
We know that, a nickel is worth 5 cents and a quarter is worth 25 cents.
Let the number nickels be x and the number of quarters be y.
Now, 0.05x+0.25y=8.80 ----------(I)
x+y=68 ----------(II)
Substitute x=68-y in equation (I), we get
0.05(68-y)+0.25y=8.80
⇒ 3.4-0.05y+0.25y=8.80
⇒ 0.20y=8.80-3.4
⇒ 0.20y=5.4
⇒ y=5.4/0.20
⇒ y=27
Substitute y=27 in equation (II), we get
x=41
Therefore, the number of nickels are 41 and the number of quarters are 27.
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An office building worth $1 million when completed in 2010 is being depreciated linearly over 50 years. What was the book value of the building in 2014? What will it be in 2022? (Assume the scrap value is $0.)
Answers
Answer:
To calculate the book value of the building, we need to calculate the annual depreciation amount and multiply it by the number of years elapsed since the building was completed.
The annual depreciation amount is calculated as: $1 million / 50 years = $20,000
In 2014, the book value of the building was: $1 million - ($20,000 * (2014 - 2010)) = $1 million - ($20,000 * 4) = $960,000
In 2022, the book value of the building will be: $1 million - ($20,000 * (2022 - 2010)) = $1 million - ($20,000 * 12) = $680,000
For each planet in the solar system, its year is the time it takes the planet to revolve around the center star. The formula 23 x2.0)x(E = models the number of Earth days in a planet’s year, E, where x is the average distance of the planet from the center star, in millions of kilometers. There are approximately 88 Earth days in the year of the planet Mercury. What is the average distance of Mercury from the center star? Round to the nearest million kilometers. Clearly state your final answer in a complete sentence with proper grammar and correct spelling.
Answers
The average distance of Mercury from the center star to the nearest million kilometers is; 58 million km
How to solve exponential Model problems?
We are told that for each planet in the solar system, its year is the time it takes the planet to revolve around the center star.
Now, the exponential function that models the number of earth days in a planets year is given as;
E = 0.2x^(3/2)
where;
E is the number of earth days in a planets year
x is the average distance of the planet from the center star, in millions of kilometers.
Thus, if there are approximately 88 Earth days in the year of the planet Mercury, then we can say that;
0.2x^(3/2) = 88
x^(3/2) = 88/0.2
x^(3/2} = 440
x = 440^(2/3)
x = 57.85 ≈ 58 million km
The average distance of Mercury from the center star to the nearest million kilometers is; 58 million km
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Please help I'll mark brainliest
Answers
Answer:
you would be correct in the second option, unknown
Step-by-step explanation:
anonymous is another word for unknown, i learned this in gamer talk ;P
Answer: Unknown.
Step-by-step explanation: When any author is anonymous whether they write myths, legends, short stories, etc, it means that their name is hidden or unknown. If you looked it up online, it would tell you this, "(of a person) not identified by name; of unknown name." Therefore, anonymous means an author not identified who is unknown.
Let me know if this is right! :)
Maria purchased a car for $8599. If the rate of depreciation is 2.5%, what will the value of the car be after four years? Round your answer to the nearest hundredth.
Answers
Answer:
$ 7770.81
Step-by-step explanation:
2.5 % each year means the car retains 97.5 % ( or .975 in decimal) of its value per year
8599 ( .975) ^4 = $ 7770.81
In the box below, describe the graph. 3x+4y
Answers
The graph of the equation 3x + 4y = 0 is a straight line with a negative slope passing through the origin.
The given equation, 3x + 4y = 0, represents a linear graph in the Cartesian coordinate system. Let's analyze its characteristics.
First, note that the equation is in the standard form for a linear equation, which is Ax + By = C, where A, B, and C are constants. In this case, A = 3, B = 4, and C = 0.
To graph this equation, we can rewrite it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. By isolating y, we have y = (-3/4)x + 0. Since the y-intercept (b) is 0, the line intersects the y-axis at the origin (0,0).
Next, we can examine the slope. The coefficient of x, -3/4, represents the ratio of the change in y (vertical) to the change in x (horizontal) as we move along the line. In this case, the slope is negative, indicating that the line descends from left to right. The magnitude of the slope, 3/4, implies that for every 4 units moved horizontally to the right, the line goes 3 units down vertically.
Therefore, we can conclude that the graph of the equation 3x + 4y = 0 is a straight line passing through the origin (0,0) with a negative slope. It extends indefinitely in both directions, with the line getting steeper as we move to the right.
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WHAT ANGEL IS ADJACENT!!! HELP ME PLSSSPLSPSL I UPLOADED THE PIC THERE
Answers
Answer:
angle 10
FYI:
angle 10 or 12 is adjacent to 9
(they share an adjacent arm)
angle 11 is opposite adjacent to angle 9.
Dorothy organises a charity raffle she sells 800 tickets for £2 each 4% of the tickets win a prize it cost £20 65% of the profit goes to charity A and the rest goes to charity be how much of the money does Dorothy raise for charity day
Answers
By using Percentage , Profit distributed to Charity A is £ 624 and Charity B is £ 336
What is Percentage ?A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
The Latin phrase "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions having a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.
Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:
use the unitary approach.by adjusting the fraction's denominator to 100.It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.Total ticket sold = 800
Cost of each ticket is £ 2
Total fund raised (raw) = 2 * 800 = £1600
4% of the ticket won a prize of £20 each
so total number of tickets winning a prize = 4 % of 800 = 32
Total prize money distributed = 32 * 20 = £ 640
Total amount to distribute to charity = 1600 - 640 = £ 960
Total profit that goes to Charity A is = 65 % of 960 = £624
And rest to charity B is = £ 336
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What is the solution set for 7x − 3 =18, given the replacement set {0, 1, 2, 3, 4}?
x = 0
x = 1
x = 2
x = 3
x = 4
Answers
Answer:
x = 3
Step-by-step explanation:
Let's solve your equation step-by-step.
7x−3=18
Step 1: Add 3 to both sides.
7x−3+3=18+3
7x=21
Step 2: Divide both sides by 7.
7x/7 = 21/7
x=3
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
Answers
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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James is studying different kinds of weather. Rain has water drops that are larger than 0.02 inch in diameter. 1 Small hailstones are less than1/4 inch in diameter. Complete the statement that best represents the different kinds of weather James studied. Select one correct answer from each box to complete the sentence. 1Box. A. r>0.02 B. r<0.02 C. r>1/4 D. r<1/4 2Box E. h>0.02 F. h<0.02 G. h>1/4 H. h<1/4
Answers
Water drops > 0.02 inches
Hailstone < 1/4 = 0.25 inches
THEN
In 1st Box answer is OPTION A , r>0.02
In 2nd Box answer is OPTION H , h< 1/4
One number is 7 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 748 , find the numbers.
Answers
Answer:
72, 504, 172
Step-by-step explanation:
Let the unknown number be denoted as "x"
The second number = 7x
And the third number = 100 + x
(x) + (7x) + (100 + x) = 748
x + 7x + x + 100 = 748
9x + 100 = 748
9x = 748- 100
9x = 648
x = 648/9
x = 72
The first number = 72
The second number = 7x = 7 × 72 = 504
The third number = 100 + x = 100 + 72 = 172
What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
Answers
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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Which answer is correct? If someone is good at math, plz help asap. I Will give out Brainlist to whoever helps me.
Answers
Answer:
picture is upside down
(g) through (0,5), x-intercept 0
Answers
First, let's find the slope of the line using the points (0,5) and (0,0) (we are using (0,0) since the x-intercept is 0):
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \Rightarrow m=\frac{0-5}{0-0}=-\frac{5}{0} \end{gathered}\)as we can see, we get an undefined number, therefore, the line is a vertical line with equation x=0, that coincides with th y-axis:
what is the raito 40 to 18
Answers
Answer:
20:9
Step-by-step explanation:
Here we will simplify the ratio to 40:18 for you and show you how we did it.
To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.
The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:
20:9
how do i solve 1-(1+.04/12)^-12x10
Answers
To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.
Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).
Step 3: Add 1 to 0.0033333 to get 1.0033333.
Step 4: Raise 1.0033333 to the power of -120.
Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.
Step 6: Subtract the value obtained in Step 5 from 1.
1 - 0.742657 = 0.257343 (approximately).
Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.
It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.
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It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.
Assume the pack ice was drifting at a constant rate, and that Todd’s snowmobile was traveling at a constant speed relative to the pack ice.
What was the speed of Todd's snowmobile?
Answers
Answer:
The speed of Todd's snowmobile was 22 miles an hour
Step-by-step explanation:
:))
The speed of Todd's automobile is 31 miles per hour.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.
For the first journey,
v₁ + v₂ = 330 / 11 ......................( 1 )
For the return journey,
v₂ - v₁ = 330 / 15 .........................( 2 )
From equation ( 1 ) and equation ( 2 ),
2v₂ = ( 330 / 11 ) + ( 330 / 15 )
2v₂ = ( 330 ) ( 31 / 165 )
v₂ = 165 ( 31 / 165 )
v₂ = 31 miles per hour
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A bricklayer lays 263 bricks in the first hour 137 bricks in the second hour and 140 bricks in the third hour how many bricks does he lay
each hour on average
Answers
The average number of blocks he lay each hour is 180 bricks
How to find average bricks layed per hourFirst hour = 263 bricksSecond hour = 137 bricksThird hour = 140 bricksAverage per hour = (First hour + Second hour + Third hour) / Total number of hours
= (263 + 137 + 140) / 3
= 540 / 3
= 180 bricks per hour
Therefore, the number of bricks layed per hour is 180 bricks per hour
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the legs of a right triangle measure 5√2 cm and 4√2 cm. find the area
Answers
Answer:
ugiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiigygyu
Step-by-step explanation:
6 , -30 , 150 ... find the13th geometric sequence
Answers
Answer:
1464843750
Step-by-step explanation:
an= 6*-5^12
-4
-2
4
-2-
0
3
On which interval are both functions increasing?
2
-8
p
0
-X
-2
g(x) = -x - 3| +4
(,0)
Answers
Answer: \((3, \infty)\)
Step-by-step explanation:
q(x) is increasing for \(x > 3\).
p(x) is increasing for \(x \geq -2\).
So, both functions are increasing for \((3, \infty)\).
