If a line has a slope of -4, what is the y-intercept if it also passed through the point (-2, 7)?

Answer:

1. 4x -3 = 2x + 9

  4x - 2x + 9 +3

  2x = 12

  x=6

2. -2x + 4= 6x -20

   -2x -6x = -20 - 4

    -8x = -24

     x=3

Answer:

Graph included as picture

Step-by-step explanation:

To solve this, plot the given points on the graph

Draw a line through them.

Now select two of those values and we'll find the rate of change.

We'll be using (1,-1) and (3,3)

To find rate of change we will be using the formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]y_{2} = 3\\y_{1} =-1\\x_{2} = 3\\x_{1} = 1[/tex]

[tex]\frac{3-(-1)}{3-1} = \frac{4}{2} = 2[/tex]

So the rate of change is 2

You will use this rate of change for your other function because they both have the same rate of change

Since we have the rate of change, we can create the slope intercept form formula: y = mx +b

Just substitute for the variables we know

m = rate of change/slope = 2

b = y-intercept = -3

y = 2x + -3

[If you connected all the points in your graph, that's how you found the y-intercept]

Now we have to create the formula for the second function.

We know it will have that same slope of 2

so we have y = 2x + b

To solve for b we can plug in the values we do have which would be (x,y) of (3,6)

6 = 2(3) + b

Now solve

6 = 6 + b

6 (-6) = 6 (-6) + b

0 = b

b = 0

This mean that the y-intercept will be on (0,0)

Plot that point

Now we finish the formula

y = 2x + 0

Connect the dots, make sure the line continues on both of them past the dots and now you have your graph!

I've included a picture of the graph for your reference. I hope this helps, don't be afraid to reach out with further questions!

Answer:

804.25

Step-by-step explanation:

The area of a circle = pi(r)^2

Given the diameter, we can find the radius by dividing the diameter in half.

r=16

pi(16)^2 = 804.25

Answer:

803.84 OR 256 pi

Step-by-step explanation:

Ok!

Step 1:

The area of a circle is Pir^2. (Sorry it’s pi r squared, I don’t have the pi symbol or the exponent function on my iPad.)

R is radius. Remember, radius is half the diameter.

32/2=16.

Step 2:

Do 16^2.

You should get 256.

Step 3:

Multiply 256 by Pi. Pi is 3.14. You should get 803.84.

Step 4:

803.84 should be the answer, I THINK (not sure) you can also write your answer as 256 pi. Depends on what your teacher wants. Hope this helps! Next time you can search up how to find the area of a circle, there are lots are tutorials!

Answer: Length = 10cm

Width = 6.5cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Therefore, the length of the rectangle will be: = (2 × x) - 3 = 2x - 3

Therefore area of a rectangle = length × width

x(2x - 3) = 65

2x² - 3x = 65

2x² - 3x - 65 = 0

2x² + 10x - 13x - 65 = 0

2x(x + 5) - 13(x + 5) = 0

(2x - 13)(x + 5) = 0

2x - 13 = 0

2x = 13

x = 13/2

x = 6.5

Width = 6.5cm

Length = 2x - 3

= 2(6.5) - 3

= 13 - 3

= 10cm

Therefore, the length of the rectangle is 10cm and the width is 6.5cm.

Answer: 1 1/5  

Step-by-step explanation:

Answer:

x

=

−

2021

3

y

z

+

X

3

3

y

z

+

y

2

3

z

+

z

2

3

y

Step-by-step explanation:

Answer:

2 x 3.14 x 13 = 81.64 m is your circumference

13^2 x 3.14

169 x 3.14 = 530.66 m^2 is your area

Answer:

b

Step-by-step explanation:

Since the given discriminant is 10, hence the roots will be real, irrational, and unequal

The discriminant is used to determine the nature of the roots of a quadratic equation. The formula for finding the discriminant is expressed as:

D = b^2 - 4ac

Since the given discriminant is 10, hence the roots will be real, irrational, and unequal

Learn more on discriminant here: https://brainly.com/question/24730520

Answer:

2,095 students.

Step-by-step explanation:

3014/200 =  15.07 groups of students

15.07 groups x 139 students =  2094.73 students -> rounds to 2095

Answer:

reflection, rotation, and translation.

Answer: 12 for the main square

Step-by-step explanation:

take the 4 and the 3 and multiply it, makes 12. you see how each stair is 6 inches and there is 3 full steps which makes it 1.50 feet. 12 x 1.50 is 18. that makes your main square. I'm sorry but I cant really help you with the steps but that was also confusing to me.

Answer:

50.27

Step-by-step explanation:

Answer:

68 in^2

Step-by-step explanation:

Area of two trapezoids:

(7+3)5 = 50

Area of two squares:

2(3x3) = 2(9) = 18

50 + 18 = 68

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

68

Step-by-step explanation:

3x3=9 (top square)

3x3=9 (bottom square)

(1/2) (5) (2) = 5 (triangle 1)

(1/2) (5) (2) = 5 (triangle 2)

(1/2) (5) (2) = 5 (triangle 3)

(1/2) (5) (2) = 5 (triangle 4)

10 x 3 = 30 (middle rectangle)

9+9+5+5+5+5+30=68

Answer:

hope this helps you out :)

Answer: I think it is B

Step-by-step explanation:

Answer:

19.648

Step-by-step explanation:

because 24.56 / 5 = 4.912

4.912*4=19.648

Answer:

x = 9

Step-by-step explanation:

Not sure if you posted the right thing, but if f(x)=9, then x simply is 9.

Answer:

La suma de los ángulos interiores de un hexágono regular es 720°

Step-by-step explanation:

Asumamos que el hexágono presentado en el enunciado sea regular, el cual es formado por seis triángulos equiláteros, Un ángulo interno del hexágono está formado dos ángulos laterales y vecinos de dos triángulos equiláteros, es decir, dos veces 60°, o sea, 120°. Si el hexágono regular tiene seis ángulos internos de igual medida, entonces la suma de los ángulos interiores es 720°.

i'm really good at all kinds of math, but this doesn't make any sense.

Answer:

a.the price per ticket?

Answer:

10 units²

Step-by-step explanation:

In the second photo.

Answer: first one is 88 tenths, next one is 22 tenths, and last one is 2.2    

Step-by-step explanation: i just pressed get help in khan academy ha ha,

ANSWER:

number 1 is D, it moves to the right 4 times

number 2 is B, its a vertical stretch of 2

Answer:

Step-by-step explanation:

[tex]r + {s}^{2} [/tex]

Given values -

r = 4 , s = 1

Therefore putting their values in the question,

[tex]4 + {1}^{2} [/tex]

= 4 + 1

= 5 (Ans)

Answer:

The maximum height is: [tex]h(t_{max})=14.39 \: u[/tex]  

The ball reaches the ground in 1.79 s.

Step-by-step explanation:

We need to take the derivative and equal to zero to find the time at the maximum height.

[tex]h(t)=-16t^{2} +27t+3[/tex] (1)

[tex]\frac{dh(t)}{dt}=-32t +27=0[/tex]

[tex]t_{max} =\frac{27}{32}[/tex]

[tex]t_{max} =0.84\: u[/tex]

Now, we just need to put t(max) into equation (1) to find h(max)

[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]

[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]

[tex]h(t_{max})=14.39 \u[/tex]  

If we want to get the time when the ball reaches the ground we just need to equal h(t) to zero.

[tex]0=-16t^{2} +27t+3[/tex]

Let's solve this quadratic equation.

We will get two solutions and we must choose the positive value.

t1 = 1.79 u

t2 = -0.10 u

Therefore, the ball reaches the ground in 1.79 u.

I hope it helps you!    

Answer:

57

Step-by-step explanation:

7 times 7 or 7 to the power of 2 is 49 plus 7 is 56 and then plus 1 makes that 57

Answer:

57

Step-by-step explanation:

n^2+n+1 (n=7)

7^2+n+1

49+7+1

49+8

57

Answer:

Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx

bit.[tex]^{}[/tex]

Answer:

$630 for Asif

Step-by-step explanation:

Asif gets 3/10ths

So

2100 x 3/10 =  $630 for Asif

Answer:

x = 150°

Step-by-step explanation:

t1 and t2 are parallel lines, so the line going across them have identical angles. Since 150° is already given on the section that crosses t1, we can assume the same value for t2.