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3 years ago

Write the equation for a line in standard form (Ax+By+C) that is perpendicular to y = 3x -

Mathematics

1 answer:

salantis [7]3 years ago

8 0

Answer:

x+3y-6=0

Step-by-step explanation:

given eqn is y=3x-2 which is 3x-y-2=0

the eqn of line perpendicular to given eqn is -x+3y+k=0

it passes through (6,4)

-6+3*4+k=0

or,. -6+12+k=0

or, k= -6

therefore, the eqn of line perpendicular to given eqn is x+3y-6=0

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Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees

lilavasa [31]

Step-by-step explanation:

Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees

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3 years ago

Which angle measure in the triangle shown is the largest?

SVEN [57.7K]

The largest angle is opposite the largest side, so

Answer: H

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3 years ago

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A bag contains 30 red and blue marbles. If 19 are blue, what fraction of the marbles are blue?

Musya8 [376]

Answer:

19%

Step-by-step explanation:

19/100. i don't think it is that simple, but i did the best i could

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2 years ago

The area of the triangle is 33.6 square inches. If the h eyesight of the triangle is 4 inches what is the length of the base

DerKrebs [107]

Using the formula for the area of a triangle we can solve for the base.

The formula for area of a triangle is : Area = 1/2 x base x height

We are given the area and the height:

33.6 = 1/2 x 4 x base

Multiply both sides by 2 to remove the 1/2:

67.2 = 4 x base

Divide both sides by 4 to solve for the base:

67.2 /4 = 16.8

Check: Area = 1/2 x 4 x 16.8 = 33.6

The base is 16.8 inches.

5 0

3 years ago

A survey showed that 77% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 22 adults are

Sveta_85 [38]

Answer:

The probability that no more than more than 11 of them need correction for their eyesight is 0.00512

No, 11 is not a significantly low low number of adults requiring eyesight correction .

Step-by-step explanation:

A survey showed that 77% of adults need correction for their eyesight.

If 22 adults are randomly selected, find the probability that no more than more than 11 of them need correction for their eyesight.

n =22

p = 0.77

q = 1-p = 1- 0.77=0.23

We are supposed to find $P(x\leq 11)$

$P(x\leq 11)=P(x=1)+P(x=2)+P(x=3)+.....+P(x=11)$

Formula : $P(x=r)=^nC_r p^r q^{n-r}$

$P(x\leq 11)=^{22}C_1 (0.77)^1 (0.23)^{22-1}+^{22}C_2 (0.77)^2 (0.23)^{22-2}+^{22}C_3 (0.77)^1 (0.23)^{22-3}+.....+^{22}C_{11} (0.77)^1 (0.23)^{22-11}$

Using calculator

$P(x\leq 11)=0.00512$

So, The probability that no more than more than 11 of them need correction for their eyesight is 0.00512

No, 11 is not a significantly low low number of adults requiring eyesight correction .

3 0

3 years ago