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3 years ago

ASAP AND HOW DID YOU GET THE ANSWER ( WILL MARK BRIANIST)

Mathematics

1 answer:

andrew11 [14]3 years ago

8 0

Answer:

a 17

Step-by-step explanation:

20 + 5 - 8

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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? ↔

aivan3 [116]

Answer:

D. p + q = 7

Step-by-step explanation:

The slope of AB is ...

mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)

The slope of BC is ...

mBC = (q -1)/(9 -6) = (q -1)/3

We want the product of these slopes to be -1:

mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)

-(q-1)/(6 -p) = -1 . . . . cancel factors of 3

q -1 = 6 -p . . . . . multiply by -(6 -p)

q + p = 7 . . . . . matches choice D

8 0

3 years ago

Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

6 0

3 years ago

Pleaseeeee answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Lelu [443]

Answer:

45 miles

Step-by-step explanation:

Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula $a^{2} +b^{2} =c^{2}$ . Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So $c^{2}$ = 2025. Find the square root of 2025. $\sqrt{2025}$ = 45. Hope this helped ^^