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3 years ago

Which are the coordinates of the vertices of a triangle congruent to ΔPQR?

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

7 0

Since we don't have the picture of triangle PQR, I can only get you started in the right direction.

The word congruent means exactly the same size and shape as another object.
To find the congruent triangle, plot the given points. Select the triangle that is the same shape and size as triangle PQR.

lutik1710 [3]3 years ago

3 0

Answer:

here is the pic

Step-by-step explanation:

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This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

AnnZ [28]

Answer:

$\textsf{Factored form}: \quad f(x)=2x(x-4)$

$\textsf{Vertex form}: \quad f(x)=2(x-2)^2-8$

Step-by-step explanation:

<u>Factored form of a quadratic function</u>

$f(x)=a(x-p)(x-q)$

where:

p and q are the x-intercepts
a is some constant

Given x-intercepts:

(0, 0)
(4, 0)

Therefore:

$\implies f(x)=a(x-0)(x-4)$

$\implies f(x)=ax(x-4)$

To find a, substitute the given vertex (2, -8) into the equation and solve for a:

$\implies 2a(2-4)=-8$

$\implies -4a=-8$

$\implies a=2$

Therefore, the function's equation in factored form is:

$f(x)=2x(x-4)$

<u>Vertex form of a quadratic equation</u>

<u /> $f(x)=a(x-h)^2+k$

where:

(h, k) is the vertex
a is some constant

Given:

vertex = (2, -8)

Therefore:

$\implies f(x)=a(x-2)^2-8$

To find the constant a, substitute one of the x-intercepts into the equation and solve for a:

$\implies a(0-2)^2-8=0$

$\implies 4a-8=0$

$\implies a=2$

Therefore, the function's equation in vertex form is:

$f(x)=2(x-2)^2-8$

4 0

2 years ago

Read 2 more answers

Find the unit rate

kaheart [24]

Answer:

a) 60 mph

b) 32 miles per gallon

c) $2.40

d) $0.80

e) 54 wpm

7 0

3 years ago

Select the correct answer.<br> Simplify the following expression.

OlgaM077 [116]

Answer:

A. 1/49, or 0.02040

3 0

2 years ago

Based on past experience, a building contractor sets the

Leni [432]

Based on the cost of the contract and the probability to win it, the total expected value of the contract proposal is -$2500.

<h3>How to calculate the expected value of a contract proposal?</h3>

The general formula to calculate the expected value is:

Expected value: possibility of winnind the contract x the amount when winning - possibility of loing the contract x possible loss

Possibility of winning the contract= 0.10
Possibility of losing the contract = 0.90
Gain: $65000
Loss: $10000

<h3>What is the expected value of the contract?</h3>

Expected value: 0.10 x 65000 - 0.90 x 10000
Expected value: 6500 - 9000
Expected value: -$2500

Learn more about contract in: brainly.com/question/2669219

#SPJ1

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3 years ago

3 times 1 times 5/3 pleaseeeeeee helpppp

Ierofanga [76]

Answer:

Step-by-step explanation:

3*1*5/3=5

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2 years ago