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3 years ago

What is the slope of the line represented by 5x – 7y = 9?

Mathematics

1 answer:

serg [7]3 years ago

6 0

Answer:

5/7.

Step-by-step explanation:

Convert to slope-intercept form:

5x – 7y = 9

Subtract 5x from both sides:

-7y = -5x + 9

Divide through by -7:

y = (-5/-7) x + -9/7

y = 5/7 x - 9/7

The slope is 5/7.

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The coordinates of A, B, and C in the diagram are A(p,4), B(6,1), and C(9,q). Which equation correctly relates p and q?

Temka [501]

ANSWER

$p + q= 7$

EXPLANATION

We determine the slope of each line using the slope formula;

$m = \frac{y_2-y_1}{x_2-x_1}$

The slope of BC is

$= \frac{ q - 1}{9 - 6}$

$\frac{ q - 1}{3}$

The slope of AB is

$= \frac{1 - 4}{6 - p}$

$= - \frac{3}{6 - p}$

The two lines are perpendicular so the product of their slopes is -1.

$- \frac{3}{6 - p} \times \frac{ q - 1}{3} = - 1$

This implies that,

$\frac{q - 1}{6 - p} = 1$

$q - 1=6 - p$

$q + p = 6 + 1$

$p + q= 7$

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3 years ago

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How Do Solve 3/4=3/8x-3/2 And Show All Your Work

lubasha [3.4K]

It's too hard for me to show all the work, but you can find a common denominator in 8.

Change 3/4 to 6/8 and -3/2 to -12/8.

Now that all the fractions have the same denominator, you can multiply the whole problem by 8 and cancel out all denominators.

You are left with 6=3x-12

Add 12 to 6 and cancel out on the right side.

18=3x

Divide by 18 by 3

x=6

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3 years ago

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In a random sample of 500 people, 160 had blue eyes. In a group of 2500 people, how many would you expect to have blue eyes?

Rzqust [24]

If I'm right, then the answer would be B. 800. Hope I helped!

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3 years ago

Find the distance between (-6,6)(-5,-7)

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This is what I got as my answer. Hope it helps!

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3 years ago

A park ranger would like to clear more than 10 mi of trail. So far, he has cleared 2 mi. From now on, he can clear 3/4 mi of tra

blondinia [14]

Answer: The answer is (b) The ranger will need to clear trail for more than 10 2/3 additional hours.

Step-by-step explanation: Given that a park ranger would like to clear more than 10 mi of trail. Till now, he has cleared 2 mi. From now on, he can clear 3/4 mi of trail each hour.

Since 2 mi of the trail has already been cleared, so the trail that is left to be cleared = 10 - 2 = 8 mi.

Let, the park ranger will work for 'x' more hours. So, we have

$\dfrac{3}{4}\times x=8\\\\\Rightarrow 3x=32\\\\\Rightarrow x=\dfrac{32}{3}\\\\\Rightarrow x=10\dfrac{2}{3}.$

Thus, the park ranger will need to work for 10 2/3 more hours.

Hence, the correct option is (b) The ranger will need to clear trail for more than 10 2/3 additional hours.

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3 years ago

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