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BlackZzzverrR [31]
3 years ago
12

A line that includes the point (–1,4) has a slope of 1/4. What is its equation in SLOPE-INTERCEPT form?

Mathematics
1 answer:
Travka [436]3 years ago
7 0

Answer:

y=0.25x+4.25

Step-by-step explanation:

<u>Step 1:  Determine the two forms</u>

Point Slope Form → (y-y_1)=m(x-x_1)

Slope Intercept Form → y=mx+b

<u>Step 2:  Plug into point slope form</u>

(y-4)=0.25(x-(-1))

y-4=0.25(x+1)

<u>Step 3:  Convert to slope intercept form</u>

y-4+4=0.25x + 0.25+4

y=0.25x+4.25

Answer:  y=0.25x+4.25

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-9+n=-18 step by step solution
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Step 1: -9+n=-18. You would add the inverse to both sides, meaning you’d add nine to the negative nine to cancel it out and then then 9 to -18.

-9+n=-18
+9 +9

That would leave you with the equation: n=-9, since -18 plus a positive 9 equals a negative nine. You’re final answer is n= -9.

You can check you answer by substituting the variable with the solution (-9).
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M∠=6, m∠=+20, and m∠=40+3. List the sides of △ in order from shortest to longest.
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A 12-foot ladder rests against the side of a house. The base of the ladder is 3 feet away from the side of the house. How high a
allochka39001 [22]
This is a problem for the Pythagorean Theorem: a² + b² = c², where a, b, and c are the three sides of the triangle, and c is the hypotenuse. The hypotenuse of a triangle is the side across from the 90 degree angle.

In this case, the hypotenuse, c, is 12, because the ladder is 12 feet long (and is the side across from the 90 degree angle created by the ground and the side of the house). You have one of the other sides (3 feet), so you can find the last side by plugging in the numbers:

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Given: f(x) = x- 7 and h(x) = 2x + 3<br> Write the rule for f(h(xc)).
ivolga24 [154]

Answer:

f(h(xc)) = 2xc-4

Step-by-step explanation:

Given

f(x) = x - 7

h(x) = 2x + 3

Required

f(h(xc))

First, calculate h(xc)

If h(x) = 2x + 3

Then

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Solving further:

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Substitute h(xc) for x

f(h(xc)) = h(xc) - 7

Substitute h(xc) = 2xc + 3

f(h(xc)) = 2xc + 3 - 7

f(h(xc)) = 2xc-4

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