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3 years ago

On a coordinate plane, a line goes through (0, 3) and (3, negative 1). A point is at (negative 3, 2).

Mathematics

2 answers:

astra-53 [7]3 years ago

5 0

Answer: D: 4x+3y=-6

Step-by-step explanation:

Alex Ar [27]3 years ago

5 0

Answer:

4x + 3y = −6

Step-by-step explanation:

just took the test!

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A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl

AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

$m=\frac{8-5}{1+5}$

$m=\frac{3}{6}$

$m_A_B=\frac{1}{2}$

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

$m=\frac{2-8}{4-1}$

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

$m_B_C=-2$

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

$m=\frac{-2-2}{-2-4}$

$m=\frac{-4}{-6}$

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

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

$m=\frac{-2-5}{-2+5}$

$m=\frac{-7}{3}$

$m_A_D=-\frac{7}{3}$

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

$m_A_B=\frac{1}{2}$

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

$m_A_B \neq m_C_D$

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0

3 years ago

What the slope of y=-7x+12

castortr0y [4]

Answer:

slope -7

y intercept (0 , 12)

4 0

3 years ago

Let's say you take an exam worth 240 points and your score marked the 78th percentile of all the exam scores. Based on this you

gladu [14]

Answer:

28%

Step-by-step explanation:

78th percentile means 78% scored less than/equal to you.

100 - 78 = 22%

3 0

3 years ago

Solve |x| + 7 < 4.

masya89 [10]

Answer:

C) Ø not possible

Step-by-step explanation:

Solve |x| + 7 < 4.

subtract 7 first

|x| < 4 - 7

|x| < -3

this is impossible, a positive number cannot be less than a negative number

7 0

4 years ago

Simplify 6 to the 5th over 7 to the 3rd all raised to the 2nd power. A: 6 to the 7th over 7 to the 10th B: 6 to the 10th over 7

n200080 [17]

Answer:

B: 6 to the 10th over 7 to the 6th

Step-by-step explanation:

(6^5 / 7^3)^2

We know that (a /b) ^c = a^c / b^c

(6^5)^2 / (7^3)^2

We know that a power to a power is the powers multiplied a^b^c = a^(b*c)

6^ (5*2)/ (7^(3*2))

6^10/(7^6)

Since the bases are not the same, there is nothing else we can do

7 0

3 years ago

Read 2 more answers