There is a line whose slope is and whose y-intercept is 20. What is its equation in
12
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Answer:
Step-by-step explanation:
y = (1/12)x + 20
If the endpoints of the diameter of a circle are (6, -2)and (-6 ,2)what is the standard form equation of the circle
Answer:
[tex]x^2 + y^2 - 40 = 0[/tex]
Step-by-step explanation:
Given
[tex](h_1,k_1) = (6,-2)[/tex]
[tex](h_2,k_2) = (-6,2)[/tex]
Required
Determine the equation of the circle
First, calculate the midpoint of the given coordinates:
[tex](h,k) = \frac{1}{2}(h_1+h_2,k_1+k_2)[/tex]
[tex](h,k) = \frac{1}{2}(6-6,-2+2)[/tex]
[tex](h,k) = \frac{1}{2}(0,0)[/tex]
[tex](h,k) = (0,0)[/tex]
Next, calculate the radius.
This is the distance between [tex](0,0)[/tex] calculated above and any of [tex](6,-2)[/tex] [tex](-6,2)[/tex]
Using:
[tex](0,0)[/tex] and [tex](-6,2)[/tex], the radius is:
[tex]r = \sqrt{(0 - (-6))^2 + (0-2)^2}[/tex]
[tex]r = \sqrt{40}[/tex]
The equation is then calculated using:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where:
[tex]r = \sqrt{40}[/tex] and [tex](h,k) = (0,0)[/tex]
[tex](x - 0)^2 + (y - 0)^2 = (\sqrt{40})^2[/tex]
[tex](x )^2 + (y)^2 = 40[/tex]
[tex]x^2 + y^2 = 40[/tex]
[tex]x^2 + y^2 - 40 = 0[/tex]
WHAT DIVIDED BY 9 = -5
Answer:
−1.8
Step-by-step explanation:
Can someone help me????
A video game box is 15 inches long and 10
inches wide. If the volume of the box is 750
cubic inches, how tall is the box?
in inches
Answer:
The box is 5 inches tall
Step-by-step explanation:
The given dimensions of the video games are;
The length of the video game, L = 15 inches
The width of the video game, W = 10 inches
The volume of the video game box, V = 750 cubic inches
Assuming that the shape of the video game box is a cuboid, we have;
The formula for the volume of a cuboid, V = Length, L × Width, W × Height, H
∴ V = L × W × H
The height of the cuboid, H = V/(L × W)...(1)
Where, for the video game box;
L = Length = 15 in.
W = Width = 10 in.
V = Volume = 750 in.³
Plugging in the values of the variables in equation (1) gives;
H = V/(L × W) = 750 in.³/(15 in. × 10 in.) = 5 in.
The height of the box, H = 5 inches.
What is the probability of rolling an even number on a number cube and flipping a head with a fair coin?
Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15.
Group of answer choices
20
25
5
10
Plzz help asap!!!
Answer:
25
Step-by-step explanation:
so you replace all the x's with 15 and it becomes
2×15-5
2×15=30
30-5=25
what ratio is equivalent to 6 out of 15
Answer:
40%
Step-by-step explanation:
Answer:
2:5
Step-by-step explanation:
6/15 divided by 3/3 = 2/5
2/5 is the most simplified it can get
2:5
NEED HELP WILL GUVE 5 stars
Answer:
m=15
Step-by-step explanation:
m/9 + 2/3
x 3 7/3 x 3 = 21/9
m/9 + 6/9 = 21/9
21-6=15
15/9 + 6/9 = 21/9 = 7/3
Caroline is going to invest $5,500 and leave it in an account for 10 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Caroline to end up with $10,100?
Answer:
6.1
Step-by-step explanation:
I just know
Laila took a very long Math exam and got 24 questions wrong out of 120 questions. What percentage of the total questions did she get correct?
Answer:
Laila got 96 out of 120 questions wrong. Laila got 80% on the exam. 20% is the rate of the 24 questions you missed.
Step-by-step explanation:
Hope this helps u
pls help im stuck. i dont understand where to start and what to do
Answer:
40cm²
Step-by-step explanation:
To find the area of a parallelogram you can simply do length × width.
A = lw
A = 5(8)
A = 40
Answer:
It might be 45
Step-by-step explanation:
Calculator
What is the area of the figure?
6 in.
Enter your answer in the box.
16 in.
10 in.
in?
10 in.
Answer: 24 [tex]in^{2}[/tex]
Step-by-step explanation:
A=1/2hb
to find lenth of triangle: the side of the square is 10 and on the top, the triangle takes up 10-6 in so it must be 4 in long
to find height, it is 16-10 in of of the square. so itmust be 6 in
so to find area:
A=1/2*6*4
= 1/2*24
=24
Answer:112
Step-by-step explanation:
just took test
18. Elyse has a gift card that she can use to
rent movies online. The graph shows the amount of
money remaining on her gift card based on the number
of movies she rents.
a. Write an equation to represent the situation.
b. What is the y-intercept, and what does it mean in the
context of the situation?
c. What is the slope, and what does it mean in the context
of the situation?
Answer:
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the number of movies
y ----> the amount of money remaining on her gift card
we know that
The slope of the linear equation is equal to the unit rate
take two points from the graph
(0,18) and (2,12)
Find the slope
---> is negative because is a decreasing function
That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented
The linear equation is equal to
For y=0
so
6 is the maximum number of movies that Elyse can rent on line
The solution is
a) The equation of line is y = -3x - 6
b) The y-intercept of the line is -6 which means when the number of movies x = 0 , the amount on gift y = -6
c) The slope of the line is -3 which means the rate of change of amount on gift is decreasing with number of movies x
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be A
The value of A = A ( 2 , 12 )
Let the second point be B = B ( 4 , 6 )
a)
Now , the slope of the line is given by the equation
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
On substituting the values in the equation , we get
Slope m = ( 6 - 12 ) / ( 4 - 2 )
Slope m = -6/2
Slope m = -3
Therefore , the slope is -3
The equation of line is given by the formula
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 12 = -3 ( x - 2 )
On simplifying the equation , we get
y - 12 = -3x + 6
Adding 12 on both sides of the equation , we get
y = -3x - 6
So , the equation of line is y = -3x - 6
b)
The y intercept of the equation of line y = -3x - 6 is -6 , when x = 0
c)
The slope of the line y = -3x - 6 is m = -3 and the value is decreasing
Hence ,
a) The equation of line is y = -3x - 6
b) The y intercept of the equation of line y = -3x - 6 is -6
c) The slope of the line y = -3x - 6 is m = -3
To learn more about equation of line click :
https://brainly.com/question/14200719
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Suppose a city with population 700,000 has been growing at a rate of 6% per year. If this rate continues, find the population of this city in 19 years.
Answer:2117919
Step-by-step explanation:
First year: 700000*1.06
Second year:700000*1.06*1.06
.
.
.
19th year: 700000*(1.06)^19
what is the sum of all the integers that have values between 42 and 87
Answer:
9 and 10
Step-by-step explanation:
The sum of all the integers that have values between 42 and 87 is 2838.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have integers between 42 and 87:
43, 44, 45,........, 86
The above is the arithmetic sequence with common difference is 1:
Last term = 86
a + (n-1)d = 86
43 + (n - 1)(1) = 86
n = 44
Sum = (44/2)(43+86)
Sum = 2838
Thus, the sum of all the integers that have values between 42 and 87 is 2838.
Learn more about the sequence here:
brainly.com/question/21961097
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Select ALL the statements that have exactly ONE solution
(a. Only one value will make the equation true
(b. The solution is true always. An identity is always true, for any value of x
(c. No values will make the equation true.
(d. The solution is never true. A contradiction is never true for any value of x
(e. The solution is true sometimes. A conditional equation is true for some value of x.
(f. Any value will make the equation true
(g. The lines will be in top of each other
(h. The lines will be parallel (never touch).
(I. The lines will cross each other at one po
Answer:
I don't know the answer to this question.
Find the quotient of 1 1/4 and 3 1/2 express your answer in simplest form
Answer:
11/14
Step-by-step explanation:
11/4 / 3 1/2
3 1/2= 3*2+1= 6+1=7/2
11/4 * 2/7= 22/28
22/2=11
28/2= 14
11/14
11/14 is the answer! (Quotient in simplest form)
Which ordered pair is a solution of the equation 3x − y = −10?
A. (3, 19)
B. (−10, −19)
C. (−10, −21)
D. (−3, −2)
Answer:
c
Step-by-step explanation:
Write an inequality to express the fact that a checking account balance of $56 is less than a balance of $21. What is the difference in the balances?
Answer:
120
Step-by-step explanation:
Please solve quickly! Qestion: c - 1.5 = 7
Answer:
8.5
Step-by-step explanation:
c = 8.5
hope this helps
Answer:8.5
Step-by-step explanation:
Add 7 and 1.5
HELP!! WILL AWARD BRAINLIEST!!
Which solid is a polyhedron?
Answer:
the second one?
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
Its the rectangle prism
HURYY THIS IS WORTH ALOT I’ll make brainlist
Answer:
B.4
Step-by-step explanation:
NASAGUTAN KO YAN TAMA AKO
what is 5.2x10^2 in standard form
Solve this equation:
7x - [5 + (3x - 2)] = x - (4x - 5) + (2x - 1)
Answer:
x = 7/5
I hope this helps
Step-by-step explanation:
7x - [5 + (3x - 2)] = x - (4x - 5) + (2x - 1)
7x - 5 -3x +2 = x -4x +5 +2x -1
4x -3 = -x +4
4x +x = 4+3
5x = 7
x = 7/5
CLICK ON THIS, 30 POINTS+BRAINLIEST
3RD TIME IM POSTING THIS! PLEASE HELP, THIS TIME BRAINLIEST AND 30 POINT!!!!!!!!
WHO WOULDN'T WANT THAT BY JUST ANSWERING 2 QUESTIONS!!!!!!!!
Answer:
30%
Step-by-step explanation:
5%
1st
Decreased by 20%
2nd
Increased by 10%
(Excuse me if im wrong, I did this in a rush)
Right triangles trigonometry
Step-by-step explanation:
1.
sin63=x/16
16sin63=14.3
x=14.3
Which of the following number sentences show the correct method to find 43% of 59 Select TWO that apply.
A)43 x 59
B)43/100 x 59
C)0.43 x 59
D)0.43 x 0.59
Answer:
a and b
Step-by-step explanation:
PLEASE HELP MEEEEE THAnK YOU
I NEED UR HELP ASAP!! PLEASE
Answer:
4 inches
Step-by-step explanation:
To solve this, use the Pythagorean Theorem: a² + b² = c². You insert the measurements you have: 3² + b² = 5² or 9 + b² = 25. To solve this, subtract 9 from both sides: b² = 16. To solve for b (length) specifically, find the square root of 16: 4.
Hope it helps!