Which statement correctly compares the function shown on this graph with the function y = -x+ 4?

A. The function shown on the graph has the same rate of change, but a lower starting point.

B. The function shown on the graph has a smaller rate of change, but the same starting point.

C. The function shown on the graph has a greater rate of change, but the same starting point.

D. The function shown on the graph has the same rate of change, but a higher starting point​

Answer:

The equation of altitude AD drawn from A to BC will be:

[tex]y=x+3[/tex]

Step-by-step explanation:

Let m₁ and m₂ be the slope of line AD and BC respectively.

Now, AD⊥BC

​∴ m₁ × m₂ = -1

be the slope of line AD and BC respectively.

⇒ m₁ = -1/m₂    → (A)

Finding the slope of BC using points

B(2, 2)

C(6, - 2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]

[tex]m_{2} =\frac{-2-2}{6-2}[/tex]

[tex]m_{2} =-1[/tex]

On substituting the value of m₂ in equation (A)

m₁ = -1/m₂

    = -1/(-1)

    = 1

We know that the point-slope form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

∴ Equation of altitude AD passing through A(-2, 1) with slope 1 will be

[tex]y-1=1\cdot \left(x-\left(-2\right)\right)[/tex]

[tex]y-1=x+2[/tex]

[tex]y=x+3[/tex]

Therefore, the equation of altitude AD drawn from A to BC will be:

[tex]y=x+3[/tex]

Answer: rational

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

irrational means that the decimal digits are not in a pattern. 11/4 is equal to 2 3/4 which is also equal to 2.75. Since we can predict the coming digits, (which are all 0) it means that 11/4 is, indeed rational.

Answer

Its the 3rd option

Step-by-step explanation:

Answer:

5x +20

Step-by-step explanation:

Answer:

Step-by-step explanation:

1).

(a). Yes, the graph is linear.

(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2

2). Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)

Step-by-step explanation:

(5 – 5i) . (-3+5i)

=-15+25i+15i-25i²

=-25i²40i-15

Answer:

-25i^2+10i-15

Step-by-step explanation:

(5 – 5i) . (-3+5i)

foil

1)5*-3=-15

2)5*5i=25i

3)-5i*-3=15i

4)-5i*5i=-25i^2

put that all together

-25i^2+15i+25i-15

simplify

-25i^2+40i-15

Answer:

600 people

Step-by-step explanation:

It’s under by 4 so it would be under by 40,400,4000 ect

Answer: 600 people

Step-by-step explanation: If 6 people out of 10 people bought something then just multiply both numbers by 100, as there are 2 more 0's in 1000 than 10, hope this helps :)

Answer:

A

Step-by-step explanation:

4 3/4=(4*4)+3 / 4=19/4

3/5 * 19/4= 57/20

=2 17/20

Answer:

3,600 seconds

Step-by-step explanation:

multipy how many hours by 3,600

(so 1 times 3,600)

Answer:

3,600 seconds

Step-by-step explanation:

[tex]\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}[/tex]

Answer:

1. False

2. True

3. False

4. True

5. True

Answer:

Step-by-step explanation:

1. Fasle

2. True

3. False

Answer:

z ≥ − 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

(m*2)+4=

b+(b*2)+1=

I believe the answer is 22!

Answer:

The answer is 22

Step-by-step explanation:

40-2(3^2)

= 40 - (2)(9)

= 40 - 18

= 22

Hope this helps

Answer:

its 4 :)

Step-by-step explanation:

Answer:

16% of the students did not pass the test.

Step-by-step explanation:

Since 25 is 1/4 of 100, multiply it by 4 to equal 100.

Now multiply the percentage passed by 4. This equals 84.

84 out of 100 = 84%

So, the rest of the students(the ones who did not pass) is 16% of the class.

Answer:

-3

Step-by-step explanation:

Answer:

w = -3

Step-by-step explanation:

-4w - 4 = 8 (add 4 on both sides)

-4w = 12 (divide by -4 on both sides)

w = -3

Hope this helps!!

Answer:

Ana baked 5 cookies and wanted to divide 1.5 of the cookies to her friends and the rest to her family. How many cookies were given to her friends?

Step-by-step explanation:

Answer:

that is my answer hopes it helps you

Step-by-step explanation:

the 5÷ 1 and 1 I got 1.5 for answer

Answer:

C. 4

Step-by-step explanation:

The formula of slopes is: y2 - y1/x2 - x1

m = y2 - y1/x2 - x1

m = 15 - 7/5 - 3

m = 8/2

m = 4/1

m = 4

The slope of the line through the points (3,7) and (5,15) is  4 .

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.

Δy =  change in y coordinate  = y2 - y1

Δx = change in x coordinate = x2 - x1

m = Δy/Δx

where,

m is the slope  

According to the question

Points (3,7) and (5,15)

therefore,

(x1,y1) =  (3,7)

(x2,y2) =  (5,15)

Now ,

The slope of the line  

Using slope formula

m = Δy/Δx

Δy = y2 - y1  

Δy = 15 - 7

Δy = 8

Δx =  = x2 - x1

Δx = 5 - 3  

Δx = 2

Therefore,

m = [tex]\frac{8}{2}[/tex]

m = 4

Hence, the slope of the line through the points (3,7) and (5,15) is  4 .

To know more about slope of line passing through two points here:

https://brainly.com/question/27897581

#SPJ2

Answer:

c. is your answer dear.

Step-by-step explanation:

By SSS theorem which is Side Side Side.

Hope you got it.

Answer:

The answer is A

Step-by-step explanation:

B was the closest but it's A

Answer:

1 for both slope and rate of change

Step-by-step explanation:

Slope is another word for the rate of change of y with respect to x.

Answer:

d = 4

Step-by-step explanation:

Answer:

d = 4

Step-by-step explanation:

–24 + 12d = 2(d – 3) + 22

–24 + 12d = 2d - 6 + 22

–24 + 12d = 2d + 16

–24 + 12d - 2d = 16

12d - 2d = 16 + 24

10d = 16 + 24

10d = 40

d = 4

Answer:

3

Step-by-step explanation:

3 times 4 equals 12

hope I got it right

Step-by-step explanation:

they would each get 4 pencils

Answer:

7.5 miles

Step-by-step explanation:

5 miles in 80 km

Total distance = 120 km

120- 80= 40 km

80 km = 5miles

1 km = 5miles/ 80km

120 km = 5/80 * 120 km = 7.5 miles

This is called unitary method. First we find 1 km by dividing the miles with the number of km and then multiply the number of km to find the total number of miles.

Total distance = 120 km

120- 80= 40 km

if there are 5 miles in 80 km then there will be half of the miles in half of the km . So there will be 2.5 miles in 40 km .

So the total number of miles would be

40+80 km= 5+ 2.5 miles

120 km = 7.5 miles

Answer:  (b) 48 cm

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Explanation:

Divide the perimeter of the square over 4 to get the side length s.

s = P/4

s = 48/4

s = 12

The side length of the square is 12 cm. This leads to an area of...

A = s^2

A = 12^2

A = 144

The area of the square is 144 square cm.

The rectangle is 4 cm^2 less than the square's area, so we know the rectangle has area 144-4 = 140 cm^2.

If the length of the rectangle is 14 cm, then the width must be

W = A/L

W = 140/14

W = 10

This is a 14 cm by 10 cm rectangle (note how 14*10 = 140)

The last step is to compute the perimeter of the rectangle

P = 2(L+W)

P = 2(14+10)

P = 2*24

P = 48

You can use the formula P = 2L+2W, but it's effectively the same thing.

The perimeter of the rectangle is 48 cm.