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3 years ago

Can anyone help me with this problem?

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

7 0

This uses the geometric mean for right triangles...the one involving the altitude. For us the pattern is $\frac{r}{h}=\frac{h}{s}$ . "s" is our answer.

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What is the equation of the line that passes through the point (4, 3) and is perpendicular to the line x + y = 4?

zimovet [89]

ANSWER

$y - x = - 1$

EXPLANATION

The required equation passes through:

(4,3) and is perpendicular to x+y=4.

Rewrite the given equation in slope-intercept form:

$y = - x + 4$

The slope of this line is -1.

The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

$m= - \frac{1}{ - 1} = 1$

The equation of the line can be found using:

$y - y_1 = m(x - x_1)$

We substitute the slope and point to obtain:

$y - 3 = 1(x - 4)$

We simplify to get:

$y - 3 = x - 4$

$y - x = - 4 + 3$

The required equation is

$y - x = - 1$

5 0

3 years ago

Find the equation of the line that passes through point A (1,7) and B (-3, -1)

amid [387]

Answer:

The equation of the line is 2 x - y + 5 = 0.

Step-by-step explanation:

Here the given points are A( 1, 7) & B( -3, - 1) -

Equation of a line whose points are given such that

( $x_{1}, y_{1}$ ) & ( $x_{2}, y_{2}$ )-

y - $y_{1}$ = $\frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$ ( x - $x_{1}$ )

i.e. y - 7= $\frac{- 1 - 7}{ -3-1}$ ( x- 1)

y - 7 = $\frac{- 8}{- 4}$ ( x -1)

y - 7 = 2 ( x - 1)

y - 7 = 2 x - 2

2 x - y + 5 = 0

Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1) is 2 x - y + 5 = 0.

6 0

3 years ago

There are about 320 million people living in the United States. Of these, how many would you predict wear corrective lenses

tiny-mole [99]

Answer:

240 million

Step-by-step explanation:

Google said that three out of four people wear corrective lenses which is also 75%. So whats 75% out of 320 million? Half of 320 million is 160 million. Half of 160 million is 80 million, 160 million plus 80 million is 240 million.

8 0

3 years ago

Read 2 more answers

Find the LCM of 6 and 8. A) 12 B) 18 C) 24 D) 36

frez [133]

Answer:

The answer is C) 24

3 0

3 years ago

Devin wants to buy some t-shirts from a store in the mall. He has $20 in his pocket and the t-shirts cost $5 each. The situation

avanturin [10]

Answer:20-5t+=