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Ivenika [448]
3 years ago
12

A line passes through the point. (4, -7) and has a slope of 5/2

Mathematics
1 answer:
blagie [28]3 years ago
6 0

t p = through point

s = slope

y - y(t \: p) = (s) \times ( \: x - x(t \: p) \: ) \\

y - ( - 7) =  \frac{5}{2} \times (x - 4) \\

y + 7 =  \frac{5}{2} \times (x - 4) \\

y + 7 =  \frac{5}{2}x -  \frac{5 \times 4}{2} \\

y +7 =  \frac{5}{2}x -  \frac{20}{2} \\

Subtract both sides -7

y =  \frac{5}{2}x -  10 - 7 \\

y =  \frac{5}{2}x -   17 \\

And we're done....

♥️♥️♥️♥️♥️

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RoseWind [281]

Answer:

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4 0
3 years ago
Haley's car gets at least 18 miles per gallon. She is planning a trip that is 200 miles.
maxonik [38]

Answer:

11\ gallons

Step-by-step explanation:

we know that

Haley's car gets at least 18 miles per gallon

so

by proportion

Find the minimum number of gallons she'll need for a trip that is 200 miles

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7 0
2 years ago
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31. Algebra Fill in the reason that justifies each step.
Anna11 [10]

Answer:

Step-by-step explanation:

<u>Statements    </u>                                   <u>  Reasons</u>

1) QS =42                                               Given

2) QR + RS = QS                              Segment Addition Postulate

3) (x + 3) + 2x = 42                            Substitution Property

4) 3x + 3 = 42                                      Simplify

5) 3x = 39                                          Subtraction Property of Equality

6) x=13                                               Division Property of Equality

Explanation:

We have given QS=42. We have to prove that x=13

We will use Segment Addition Postulate which states that given 2 points Q and S, a third point R lies on the line segment QS  if and only if the distances between the points satisfy the equation QR + RS = QS.

Then we will substitute the values in the defined postulate.

where QR= x+3

RS=2x

QS=42

QR+RS=QS

(x+3)+2x= 42

Now simplify the expression by opening the brackets.

x+3+2x=42

3x+3=42

Now subtract 3 from both sides.

3x+3-3=42-3

3x=39

divide both sides by 3.

3x/3 =39/3

x=13..

4 0
3 years ago
What is the answer to a,b, and c? Thanks!
Katarina [22]

The area of a triangle can be calculated as half the product of base length and height. We want the area to be no greater than 10 in².

a) (1/2)(4)(2x-3) ≤ 10

b) 4x -6 ≤ 10 . . . . . simplify

... 4x ≤ 16 . . . . . . . .add 6

... x ≤ 4 . . . . . . . . . divide by the coefficient of x

c) The maximum value of (2x -3) in is (2·4 -3) in = 5 in.

The triangle should be no more than 5 in high to have an area less than 10 in².

6 0
2 years ago
Will give brainliest please help ASAP
12345 [234]

✿  Domain is the Set of Values of x

⇒ Domain = { 10 , 15 , 19 , 32 }

✿ Range is the Set of Values of y (Images of x)

⇒ Range = { -1 , 5 , 9 }

First Option is the Answer

6 0
3 years ago
Read 2 more answers
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