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3 years ago

ANSWER ASAP!!!!

Mathematics

1 answer:

Korvikt [17]3 years ago

3 0

Answer:

Step-by-step explanation:

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One way to prove this quadrilateral is a square is by calculating the slopes of its sides and the slopes of its diagonals.

tatuchka [14]

Answer:

Step-by-step explanation:

<h3>To prove quadrilateral is a square:</h3>

a) Slope of CB

C(-3,-1) ; B = (0,3)

$\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}$

$\sf = \dfrac{3-[-1]}{0-[-3]}\\\\ =\dfrac{3+1}{0+3}\\\\ = \dfrac{4}{3}$

$\sf \text{\bf slope of CB = $\dfrac{4}{3}$}$

b) D(1,-4) ; A(4,0)

$Slope \ of \ DA = \dfrac{0-[-4]}{4-1}\\$

$= \dfrac{0+4}{3}\\\$

$\sf \text{\bf Slope of DA = $\dfrac{4}{3}$}$

Slope of CB = slope of DA

c) C(-3,-1) ; D(1 , -4)

$\sf Slope \ of \ CD =\dfrac{-4-[-1]}{1-[-3]}$

$\sf = \dfrac{-4+1}{1+3}\\\\ = \dfrac{-3}{4}\\$

$\sf Slope \ of \ CD * Slope of CB = \dfrac{-3}{4}*\dfrac{4}{3}=-1$

So, CD is perpendicular to CB

d) B(0,3) ; D(1,-4)

$Slope \ of \ BD = \dfrac{-4-3}{1-0}\\\\=\dfrac{-7}{1}\\\\=-7$

e) C(-3,-1) ; A(4,0)

$\sf Slope \ of \ CA = \dfrac{0-[-1]}{4-[-3]}\\$

$=\dfrac{0+1}{4+3}\\\\=\dfrac{1}{7}$

$\text{Slope of CA *Slope of BD = $\dfrac{1}{7}$*(-7)}=-1$

So, CA is perpendicular to BD

$\sf \text{\bf Slope of DA = \dfrac{4}{3}}$

5 0

2 years ago

Complete this section.

choli [55]

look at the attached picture

Hope it will help you

Good luck on your assignment

3 0

3 years ago

Read 2 more answers

Q/18 = 5. i need to solve for q

ra1l [238]

Answer:

q = 90

Step-by-step explanation:

q / 18 = 5

do the reverse from the right side of the problem

/18 = 5

= * 18 = 5

= 5 * 18 = q

q = 90

3 0

3 years ago

Solve the system of equations y = 4x+1 y=2+2x-2

Natalija [7]

Answer:

x = -1/2 , y = -1

Step-by-step explanation:

Solve the following system:

{y = 4 x + 1 | (equation 1)

{y = 2 x | (equation 2)

Express the system in standard form:

{-(4 x) + y = 1 | (equation 1)

{-(2 x) + y = 0 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{-(4 x) + y = 1 | (equation 1)

{0 x+y/2 = (-1)/2 | (equation 2)

Multiply equation 2 by 2:

{-(4 x) + y = 1 | (equation 1)

{0 x+y = -1 | (equation 2)

Subtract equation 2 from equation 1:

{-(4 x)+0 y = 2 | (equation 1)

{0 x+y = -1 | (equation 2)

Divide equation 1 by -4:

{x+0 y = (-1)/2 | (equation 1)

{0 x+y = -1 | (equation 2)

Collect results:

Answer: {x = -1/2 , y = -1

5 0

3 years ago

Susan wants to make pumpkin bread and coffee cakes for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry.

Lelu [443]

The function for the problem is p=5x +4y

6 0

3 years ago