All categories

3 years ago

The equation y+ 3 = 5(x - 3) represents a linear function. What is the y intercept of the equation

Mathematics

1 answer:

Anika [276]3 years ago

3 0

Answer:

The y intercept is when x=0

When x=0,

y+3= 5(-3)

y+3= -15

y=-18

the y intercept is thus -18.

Step-by-step explanation:

You might be interested in

What does 2/4 + 1/3 equal ?

Setler79 [48]

It equals 5/6 And the decimal form is 0.8333 and so on

6 0

3 years ago

Read 2 more answers

A) find the measure of arc AB<br> b)find angle measure APC

Aleks04 [339]

Answer:

Step-by-step explanation:

5 0

2 years ago

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

2 years ago

Andre builds a form for a new cement step. The Form he builds is 40.5in long, 10in deep, and 8in high. How much cement is needed

pickupchik [31]

New length is 43.75 inches long

5 0

2 years ago

Read 2 more answers

Sasha needs to write a division expression for the fraction 9/14 . She is not sure which number goes where. Help Sasha understan

Rasek [7]

(Say I'm righting to sasha)

Hi Sasha! I understand this math is hard,but I'm here to help. 9 goes on top of 14!

If we put 14 on top of 9 it would be an inproper fraction,that's when a fraction is not very easy to work with. Now, we could do 9÷14. :)

Hope dis helps!

~Learning with Natalia~

6 0

2 years ago

Read 2 more answers