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3 years ago

The amount of money Sarah earns per week is modeled by the function W below where h

Mathematics

1 answer:

zzz [600]3 years ago

8 0

Answer:

416

Step-by-step explanation:

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What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?

olga2289 [7]

Step $1$

Find the slope of the given line

Let

$A(-3,2)\ B(2,-1)$

slope mAB is equal to

$mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}$

Step $2$

Find the slope of the line that is perpendicular to the given line

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

$mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}$

Step $3$

Find the equation of the line with mCD and the point (3,0)

we know that

the equation of the line in the form point-slope is equal to

$y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5$

Multiply by $3$ both sides

$3y=5x-15$

$5x-3y=15$

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation $5x-3y=15$

4 0

3 years ago

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Please help!! I grant brainliest.

AVprozaik [17]

Answer:

x = 65, y = 63

Step-by-step explanation:

∠ EGA = ∠ HBG = 52° ( corresponding angles )

ED is a straight angle, thus

52 + y + 65 = 180, that is

y + 117 = 180 ( subtract 117 from both sides )

y = 63

-------------------------------------

∠ HGB = y = 63° ( vertical angles )

The sum of the 3 angles in a triangle = 180°, thus

x + 63 + 52 = 180

x + 115 = 180 ( subtract 115 from both sides )

x = 65

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3 years ago

The length of a ribbon is 3/4 meter. Sun Yi needs piece measuring 1/3 meter for an art project. What is the greatest number of P

Step2247 [10]

3/4 divided by 1/3 = 3/4 * 3/1 = 9/4 = 2 1/4 <-------reason

Sun Yi can cut out 2 pieces.

Sun Yi will have 1/4 left.

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3 years ago

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1. A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to

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He must work 13 hours. I don't feel like showing my work.

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Which of the following explains the relationship between angles B and C? Lines JK and JM intersect at point J, creating four ang

zhenek [66]

Answer:

Adjacent angles

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