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masha68 [24]
3 years ago
10

Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:

Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0

9514 1404 393

Answer:

  B.  Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Step-by-step explanation:

It is generally useful to compare the answer choices to the problem statement. Here, the problem statement gives two points with identical x-coordinates and opposite y-coordinates.

Any answer choice saying the signs of the x-coordinates are different can be rejected immediately.

It also can be useful to draw yourself a picture. If you plot the points, you can see that the x-axis bisects them. The reflection is not across the y-axis, so any answer choice saying it is can be rejected.

The appropriate description is ...

  B. Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

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F(x)=2x^2 -5 , simplify f(x+h)/h , where h≠0
7nadin3 [17]

Answer:

\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}}

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Step-by-step explanation:

f(x)=2x^2-5\\\\\dfrac{f(x+h)}{h}=\dfrac{2(x+h)^2-5}{h}=\dfrac{2(x^2+2xh+h^2)-5}{h}\\\\\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}\\\\h\neq0

4 0
2 years ago
Which of the following is the equation of
Neporo4naja [7]

Answer:

a) Option A is correct.

b) Option C is correct.

Step-by-step explanation:

a) Which of the following is the equation of  the line passing through the points (1, 1)  and (-3,5)?

We will use the equation

(y-y₁)=m(x-x₁)

m= (y₂-y₁)/(x₂-x₁)

m= (5-1)/(-3-1)

m= 4/-4

m= -1

Consider point (1,1) and Putting value of m

(y-y₁)=m(x-x₁)

(y-1)=1(x-1)

y-1=x-1

y=x-1+1

y=x

So, Option A is correct.

b) Which of the following is the equation of a  line with a slope of 0 passing through (2,5)?

The formula used is:

y= mx+b

Finding b:

5=0(2)+b

=> b = 5

So, equation is:

y = mx+b

y=0x+5

y=5

So, Option C is correct.

5 0
3 years ago
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