Answer:
x²+y² = 64
Step-by-step explanation:
The standard form of writing the equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius of the circle
Given the diameter of the circle with endpoints (8,0) and (-8, 0)
d = √(x2-x1)²+(y2-y1)²
d = √(-8-8)²+(0-0)²
d = √(-16)²
d = √256
d = 16
radius r = 16/2
r = 8
The centre of the circle will be the midpoint of the coordinates
M = (8-8/2, 0+0/2)
M = (0/2, 0/2)
M = (0,0)
Hence the centre is at (0,0)
Get the required equation
Recall that (x-a)²+(y-b)² = r²
Substitute the centre and the radius
(x-0)²+(y-0)² = 8²
x²+y² = 64
This gives the required equation
Given h(x) = 4x−4, find h(−3)
Answer:
-16
Step-by-step explanation:
How many three-digit numbers can you make if you are not allowed to use any other digits except 4 and 0?
Answer:
There is a slight problem with this question
Do numbers starting with "0" count as a digit position
I would say no, thus the answer is 4...
if you are allowed to use 0 then the answer is 8
in other words if the question was using only 4's and 1's then the answer would be 8
Step-by-step explanation:
000
004
040
044
400
404
440
444
what is 18/72 + 12/42
PLEASE PLEASE PLEASE HELP ME WITH THIS QUICK QUESTION!!!!!!!!!
Answer:
y intercept: 4, x-intercept: None
Step-by-step explanation:
Took the test and got it right
A single number that estimates the value of an unknown parameter is called a _______ estimate.
Answer:
A single number that estimates the value of an unknown parameter is called a point estimate.
Step-by-step explanation:
Don't see the point (haha) of elaborating
If triangle GHJ is isosceles find the value of x
Answer:
x = 5
Step-by-step explanation:
Because an isosceles triangle's angles will always add up to 180, it's quite simple plugging in angle J into a formula to find our answer.
Before we begin, recall that the bottom two angles of an isosceles triangle are equal to the other. Thus:
Unknown angle (H) = 14x+1
So...
38 + 14x + 1 + 14 x + 1 = 180
40 + 28x = 180
-40 -40
28x = 180
28x/28 = 180/28
We get:
x = 5
Answer:
\(x = 5\)
Step-by-step explanation:
Note that:
Base Angles Of An Isosceles Triangle Are Equal.Calculating For the Value Of X
Since Base Angles are Equal(14x + 1)° + (14x +1)° +38° = 180°
Removing Brackets14x + 1 + 14x + 1 + 38 = 180°
28x + 2 + 38 = 180°
28x + 40 = 180°
collecting like term28x = 180 - 40
28x = 140
x =5
Therefore the value of x is 5
Question 11 i’m confused
You can rent a bird scooter in Atlanta according to the function e(x)=0.15x+1.00 to unlock the scooter and $0.15 each minute to rent.
Let e(x) represent the total cost of the rental after x minutes.
a. interpret e(3)=1.45
b. find the e(10).
c. let e(x)-5.50. x=__
d. domain___ range___
Answer:
17.23
Step-by-step explanation:
Research suggests that depression significantly increases the risk of developing dementia later in life. Suppose that in a study involving 949 elderly persons, it was found that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. Choose the relevant population and the sample.a. The sample consists of 949 elderly people. b. The population is all elderly people. c. The sample consists of 949 younger people. d. The population is all younger people.
The sample consists of 949 elderly people and the population is all elderly people.
A sample is a random group chosen to represent the complete population. Based on the characteristics of the sample, conclusions about the population are drawn in statistical analysis. The complete collection of people or objects of interest is referred to as a population. It is the collection of all components or individuals who share a characteristic, such as all seniors or all depressed individuals. Usually, the sample size is larger than the population size.
According to research, depression considerably raises the risk of dementia in a given situation. Consider the possibility that research of 949 senior people found that 22% of those who experienced depression went on to develop dementia, compared to only 17% of those who did not. As a result, the population is made up entirely of the elderly, and the sample consists of 949 of them.
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I need help on a problem
b. Cannot be determined
Explanation:b. The triangle have one congruent angles and one congruent sides, this is not enough information to conclude that they are congruent triangles.
Find the value of x in the isosceles triangle shown below.
Answer:
The answer for X would be 2.5
Step-by-step explanation:
The base of a triangle is B=2(Area/Height)
The area is 15 because its on both sides and the height is 12
the answer is (15/12)*2 which equals 2.5
1
A line passes through the point (-7, 5) and has a slope of 2. Which is another point that the line passes through?
O (-13, 9)
O (-9, 13)
O (9, 13)
O (13,9)
Answer:
D
Step-by-step explanation:
I would have to assume its D since the starting point is (-7, 5) and the slope is 1/2, since it is a positive slope it would reach (13, 9)
Evaluate the following expression: \[ 1.723 \times 10^{2}+7.38 \times 10^{3} \] Type answer:
The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.
In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.
In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.
Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.
Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.
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Write the ratio in the simplest form. 28÷35
Answer:
the answer is 4:5
Step-by-step explanation:
because 2/8 ÷ 3/5 = 4/5 in ratio its 4:5
Is the graphed function linear?
solve for variable (image attached)
Answer:
x = 2
Step-by-step explanation:
Given
\(\frac{3(6x+8)}{4}\) = 15 ( multiply both sides by 4 to clear the fraction )
3(6x + 8) = 60 ( divide both sides by 3 )
6x + 8 = 20 ( subtract 8 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
The value of x in the equation is 2
The equation given :
3(6x + 8) / 4 = 15
Multiply both sides by 4
3(6x + 8) = 15 × 4
3(6x + 8) = 60
Open the bracket
18x + 24 = 60
18x = 60 - 24
18x = 36
x = 36/18
x = 2
The value of x in the equation is 2
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A football is kicked into the air. Its height above the ground changes according to the equation y --16x2 + 80x +3, where x = time in seconds and ) = height in feet. The ball reaches a height of
67 feet twice: once on the way up and once on the way down. How much time does the ball spend at or above a height of 67 feet?
Answer:
it either 24 or 34
Step-by-step explanation:
I can't understand how the equation is set up!
solve please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
it is very easy solve I will tell you if u follow me we should help each other
A 16-ounce bottle of shampoo costs $4.69. What is the price per ounce, rounded to the nearest cent? $0.29 $0.34 $2.93 $3.41
Work Shown:
16 ounces = 4.69 dollars
16/16 ounces = 4.69/16 dollars .... divide both sides by 16
1 ounce = 0.293125 dollars
1 ounce = 0.29 dollars .... rounding to the nearest cent
Answer:
A i got it right in edge
Step-by-step explanation:
PLEASE HELP ILL BRAINLIEST YOU
Answer:
x=176.78
y=262.28
z=176.77
A number is chosen at random from 1 to 10. Find the probability of selecting a 6 or greater.
Answer:
1/2
Step-by-step explanation:
p(event) = (number of desired outcomes)/(total number of outcomes)
How many different outcomes are there? You can choose 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10, so the total number of possible outcomes is 10.
How many outcomes are desired. The desired outcomes are any outcomes with a number 6 or higher. Which numbers are 6 or higher? 6, 7, 8, 9, 10. There are 5 outcomes that are 6 or higher, so there are 5 desired outcomes.
p(event) = (number of desired outcomes)/(total number of outcomes)
p(event) = 5/10 = 1/2
Answer: 1/2
3y + 8 = I 7
Also can you show me the written steps?
5. In Standing Bear Middle School, there are 270 total students split into two groups: A and
B. If 30 students move to Group B from Group A, then there will be twice as many
students in Group A as in Group B. What is the original number of students in Group B?
Using a system of equations, it is found that the original number of students in Group B was of 120.
What is a system of equations?A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable.
In the context of this problem, the variables are described as follows:
Variable x: number of students in group A.Variable y: number of students in group B.There are 270 total students, hence:
x + y = 270.
x = 270 - y. (as we want to find y).
If 30 students move to Group B from Group A, then there will be twice as many students in Group A as in Group B, hence:
x + 30 = 2(y - 30).
Replacing the relation of the first equation on the second, it is found that:
270 - y + 30 = 2y - 60
3y = 360
y = 360/3
y = 120.
The original number of students in Group B is of 120.
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Anyone please answer me ,
Please solve this question
Answer:
67
Step-by-step explanation:
Multi-Inscribed Quadrilateral: 15
Bananas: 4
Clock: 3
Therefore, we can substitute for the last equation the values, so it would become:
3 + 4 + 4 x 15 = ?
First, we solve the multiplication according to PEMDAS.
4 x 15 = 60
Then, we can add from left to right.
3 + 4 + 60 = ?
3 + 4 = 7
7 + 60 = 67
Therefore, our answer would be 67.
Answer:
\(15 + 15 + 15 = 45 \\ 4 + 4 + 15 \: \: \: \: = 23 \\ 4 + 3 + 3 = 10 \\ 3 + 4 + 4 \times 11 = 51\)(according to BODMAS)
Step-by-step explanation:
First divide 45 by three
\(45 \div 3 = 15\)
then subtract 15 from 23 and divide that answer by 2
\(23 - 15 = 8 \\ 8 \div 2 = 4\)
Now subtract 4 from 10 and then divide that answer by 2
\(10 - 4 = 6 \\ 6 \div 2 = 3\)
Now add 3+4+4*11 you will get the answer for ?
\(3 + 4 + 4 \times 11\)
3 + 4 + 44
7 + 44
= 51
hope this helps
brainliest appreciated
good luck! have a nice day!
The equation -x^2+4x-4=0 has no solutions
a. true
b. false
Answer:
true
Step-by-step explanation:
Let us calculate the determinant of this quadratic equation:
Δ = b^2 - 4ac = 16-4*(-1)*(-4) = 0
The equation has one solution
x = -b/2a = 2
can I get a tutor in math please. I need help in quadratic equation
Answer:
sure i can help
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
PLEASE HELP!! PLEASE AND THANK YOU!
Answer:
50.05 feet
Step-by-step explanation:
The tower have 32.57 feet, and you can find it using the same method than I used in your other question
Now you find the length of the guy wire using the Pythagorean theorem:
38²+32.57² = guy wire²
2504.8 = guy wire²
guy wire = √2504.8
guy wire = 50.05 feet
Select the row of Pascal's triangle that is used to expand the binomial expression (22³ + 3y²)².
1
11
121
1331
14 641
1
5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21
35 21 7 1
1 8 28 56 70 56 28 8 1
M
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Sep 15
1:1
We will select the third row from the pascal triangle to expand the binomial expression (22³ + 3y²)² which is equal to
(22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴
We know that when we need to expand the expression (a + b)² we select the coefficients from the row of triangle beginning with 1,2 which is (1,2,1).
And when we write the expansion we note that with each new term we decrease the power of a and increase the power of b.
Thus the expansion can be written as
(a + b)² = 1a² + 2ab + 1b²
which we normally write as
(a + b)² = a² + 2ab + b² (1)
According to the question we have been the expression as
(22³ + 3y²)² which is equal to the above expression where,
a = 22³ and b = 3y²
Putting the required values in equation (1) we get
(22³ + 3y²)² = (22³)² + 2(22³)(3y²) + (3y²)²
= 22⁶ + 63888y² + 9y⁴
Hence we will select the third row from the pascal triangle to expand the binomial expression (22³ + 3y²)² which is equal to
(22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴
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How many significant figures should be included in the answer to the following calculation? (3.4876)/(4.11+1.2
The calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.
To determine the number of significant figures in the answer to the calculation (3.4876)/(4.11+1.2), we need to consider the number of significant figures in the given values and apply the rules for significant figures in mathematical operations.
First, let's analyze the number of significant figures in the given values:
- 3.4876 has five significant figures.
- 4.11 has three significant figures.
- 1.2 has two significant figures.
To perform the calculation, we divide 3.4876 by the sum of 4.11 and 1.2. Let's evaluate the sum:
4.11 + 1.2 = 5.31
Now, we divide 3.4876 by 5.31:
3.4876 / 5.31 = 0.6567037...
Now, let's determine the number of significant figures in the result.
Since division and multiplication retain the least number of significant figures from the original values, the result should be reported with the same number of significant figures as the value with the fewest significant figures involved in the calculation.
In this case, the value with the fewest significant figures is 5.31, which has three significant figures.
Therefore, the answer to the calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.
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Find a number such that the sum and three times its reciprocal is 91/20.
For this exercise you need to remember the following:
1. The sum is the result of an Addition.
2. By definition, given:
\(\frac{a}{b}\)Its reciprocal is:
\(=\frac{b}{a}\)3. The word "times" indicates a Multiplication.
In this case, let be "n" the number mentioned in the exercise. Its reciprocal is:
\(\frac{1}{n}\)Based on the information given in the exercise, you can set up the following equation:
\(n+3(\frac{1}{n})=\frac{91}{20}\)Now you must solve for "n":
1. Simplify:
\(\begin{gathered} n+\frac{3}{n}=\frac{91}{20} \\ \\ \frac{(n)(n)+3}{n}=\frac{91}{20} \\ \\ \frac{n^2+3}{n}=\frac{91}{20} \\ \\ n^2+3=\frac{91}{20}n \end{gathered}\)2. Make the equation equal to zero:
\(n^2-\frac{91}{20}n+3=0\)3. Apply the Quadratic formula. This is:
\(n=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)In this case:
\(\begin{gathered} a=1 \\ b=-\frac{91}{20}_{} \\ \\ c=3 \end{gathered}\)Substituting values and evaluating, you get:
\(\begin{gathered} n=\frac{-(-\frac{91}{20})\pm\sqrt[]{(-\frac{91}{20})^2-2(1)(3)}}{2\cdot1} \\ \\ n_1=\frac{15}{4} \\ \\ n_2=\frac{4}{5} \end{gathered}\)The answer
There are two numbers:
\(\begin{gathered} n_1=\frac{15}{4} \\ \\ n_2=\frac{4}{5} \end{gathered}\)
Answer:
0.8 and 3.75.
Step-by-step explanation:
If the number is x, then:-
x + 3 * 1/x = 91/20
x^2 + 3 = 91x/20
x^2 - (91/20)x + 3 = 0
x^2 - 4.55x + 3 = 0
x = [-(-4.55) +/- sqrt((-4.55)^2 - 4*1*3)] / 2
x = 0.8, 3.75.