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Arada [10]
3 years ago
10

Which of the following equations represents a line that is perpendicular to y = -4x + 9 and passes through the point, (4, 5)?

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is equal to -1.

In this exercise is given the equation of a line and a point, and is asked to find the equation of the line that is perpendicular to the given one, and that passes through the given point.

The slope of the given line is -4, which means that the slope of a line perpendicular to this one, needs to be 1/4. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

y=mx+b                Substitute the values of the given point and slope
5=1/4(4)+b           Combine like terms
5=1+b                  Subtract 1 in both sides to isolate b
4=b

The equation of the line perpendicular to y=-4x+9 and that passes through the point (4,5) is y=1/4+4.




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If line segment BH = 3, line segment BF = 10, line segment GH= 2, find HD 15 11 10.5 ?
pav-90 [236]

HD = 10.5

Step-by-step explanation:

Given BH = 3, GH = 2, BF = 10

Step 1: To find HF:

HF = BF – BH

HF = 10 – 3

HF = 7

Step 2: To find HD:

We know that if two chords intersects inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.

⇒ GH × HD = BH × HF

⇒ 2 × HD = 3 × 7

⇒ HD = 10.5

Hence, the value of HD = 10.5.

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Answer:

$36.8

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to find the total amount, you must do 32 x 115% aka 1.15

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Therefore $36.8 is the total amount Paulie needed to pay!

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What is the answer to this math problem: you have 3 bottles of lotion.Each bottle contains 4.56 mL, 2.31 mL and 2.12 mL of lotio
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Pam has 4 1/4 feet of ribbon. She will use 1/8 feet of ribbon for every bow she makes.How much bows can she make?
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