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8 months ago

Question 9

Mathematics

1 answer:

Katena32 [7]8 months ago

4 0

we can conclude that the range is:

(0, 5), (-16, -1), (12, 4)

Which is the first option (counting from the top).

<h3>How to find the range?</h3>

When we have a relation:

x⇒f(x) = y

We define the domain as the set of possible inputs, and the range as the set of possible outputs.

In this case, we know that the domain is:

(0, 5), (8, -1), (-6, 4)

And the transformation is:

f(x, y) = (-2x, y)

So, if we apply that to each one of the pairs in the domain, we will get:

f(0, 5) = (-2*0, 5) = (0, 5)

f(8, -1) = (-2*8, - 1) = (-16, -1)

f(-6, 4) = (-2*-6, 4) = (12, 4)

Then we can conclude that the range is:

(0, 5), (-16, -1), (12, 4)

Which is the first option (counting from the top).

If you want to learn more about domain and range:

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In a survey of 400 randomly selected people, it was determined that 22 play soccer. What is the probability that a randomly sel

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Answer:

5.5% probability that a randomly selected person plays soccer

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

People surveyed who play soccer, so $D = 22$

Total outcomes:

Total people surveyed, so $P = 400$

What is the probability that a randomly selected person plays soccer?

$P = \frac{D}{T} = \frac{22}{400} = 0.055$

5.5% probability that a randomly selected person plays soccer

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2 years ago

ΔMNO is shown.

JulijaS [17]

Answer:

ABC - AAS

DEF - not enough information

GHI - not enough information

JKL - SAS

Step-by-step explanation:

SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AAS postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

HL postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

1. In triangles MNO and ABC, there are two congruent sides and non-included angle - AAS

2. In triangles MNO and DEF, there are two congruent sides - there is not enough information

3. In triangles MNO and GHI, there are three congruent angles - there is not enough information

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2 years ago

Find the slope<br> 5x - 2y = 10<br><br> M=_______

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Answer:

Slope is 5/2

Step-by-step explanation:

5x-2y=10

subtract 5x from both sides

-2y=-5x+10

Then you divide -2 on both sides

y=5/2x-5

Which will result 5/2 as the slope

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2 years ago

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The measure of central angle xyz is radians. What is the area of the shaded sector? 32 85 96 256.

statuscvo [17]

If the measure of central angle is 3π /4 radians, then the area off the shaded sector is 96π square units

The radius of the circle = 16 units

The central angle of the shaded region = 3π /4 radians

The area of the sector = (θ/ 360) × πr^2

Where θ is the central angle of the sector

r is the radius of the sector

Substitute the values in the equation

The area of the sector = ((3π /4) /360) × π × 16^2

Convert the radians to the degrees

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Multiply the terms

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The complete question is

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