Y-intercept = -13
x-intercept = 2.6 or 2 3/5
-13 is the y-intercept. In the equation, y=mx+b, b is the y-intercept. Looking at the equation, y=5x-13, we can see that -13 is in the place of b, therefore -13 is the y-intercept.
() is the x-intercept. To find the x-intercept, you need to replace values into the equation. Since the coordinates for the x-intercept consist of y being 0, you must replace y in the equation. with 0.
0=5x-13
Get rid of the -13 by adding it onto both sides. -13 is negative and the opposite of a negative is positive, thus making you add to get rid of -13.
0=5x-13
+13 +13
13=5x
Now you divide 5 from both sides to get rid of 5. The opposite of multiplication is division, so you must divide the 5 from 5x to isolate the x.
13/5=5x/5
2.6 or 2 3/5=x
Therefore the coordinates (2.6,0) represent the x-intercept, or just 2.6.

I hope this helped.

6 0

3 years ago

The potential energy, P, in a spring is represented using the formula P = P equals StartFraction one-half EndFraction k x square

Anastaziya [24]

Answer:

$k=\frac{2P}{x^{2}}$

Step-by-step explanation:

The question is

Which equation should she use?

we have the formula

$P=\frac{1}{2}kx^{2}$

Solve for k

That means ----> isolate the variable k

Multiply by 2 both sides

$2P=kx^{2}$

Divide by x^2 both sides

$\frac{2P}{x^{2}}=k$

Rewrite

$k=\frac{2P}{x^{2}}$

6 0

3 years ago

14,000 acres of a 40,000 acre forest burned in a forest fire. what percentage of the forest was damaged?

Oksanka [162]

% damaged = (14 000/40000) * 100%

= 14/40 * 100%

= 0.35*100%

= 35%

7 0

4 years ago

Read 2 more answers

If (x − 2)^2=49, then x could be ?

Ket [755]

$(x - 2)^2=49\\ \\ x^2-4x +4 -49=0\\ \\x^2-4x -45 = 0\\ \\\Delta = b^{2}-4ac = (-4)^{2}-4*1* (-45)= 16+180=196 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{4-\sqrt{196}}{2}=\frac{4-14}{2}=\frac{-10}{2}=-5 \\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{4+\sqrt{196}}{2}=\frac{4+14}{2}=\frac{18}{2}=9 \\ \\Answer : \ x=-5 \ or \ x= 9$

8 0

4 years ago

Read 2 more answers