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2 years ago

Unit 1 Lesson 4 Cumulative Practice Problems

Mathematics

1 answer:

Inga [223]2 years ago

5 0

Answer:

Options (B), (C), (D) and (F) will be the correct options.

Step-by-step explanation:

If an image Q is a scaled image of P, it will follow the following characteristics.

1). Ratio of corresponding sides of P and Q will be same.

Scale factor = $\frac{\text{Dimensions of Q}}{\text{Dimensions of P}}$

2). All angles of P will be equal to the angles of image Q. Both the figures will be similar.

Option (A).

Sides lengths all are whole numbers.

If a side of P is 1 inch and this side is reduced by a scale factor of $\frac{1}{2}$ , then the length of image Q will be 0.5 which is not a whole number.

False.

Option (B)

Angle measures are all whole numbers.

Since all measures of angles of P are whole numbers. (Property 2)

True.

Option (C)

Since, P has a right angle and all angles of P are equal to Q, image Q will have a right angle.

True.

Option (D).

Scale factor = $\frac{\text{Side length of Q}}{\text{Side length of P}}$ = $\frac{1}{5}$

Side length of Q = $\frac{1}{5}$ × (Side length of P)

True.

Option (E)

False. (Property 2)

Option (F)

Since P has 2 acute, 3 obtuse angles and 1 right angle, Q will have the same angles.

True.

Therefore, Options (B), (C), (D) and (F) will be the correct options.

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Graph the following function and identify any shifts, stretches, and symmetry and x and y intercepts:

klasskru [66]

Shifts:

Shifted three units right and two units up to match the blue parabola

Stretches:

It doesn't have any stretches

Symmetry:

$x=3$

x and y intercepts:

x intercpets: It has no x-intercepts

y-intercepts: (0, 11)

<h2>Explanation:</h2>

The pattern of the quadratic function is:

$f(x)=x^2$

Whose graph is shown below as the red parabola.

So here we need to identify some characteristics of:

$y = f(x) = (x - 3)^2 + 2$

Whose graph is shown below as the blue parabola.

As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:

The red parabola has been shifted three units right and two units up to match the blue parabola.

This is so because, for any function:

$y=f(x)$

We have the following transformations:

$y=h(x)=f(x+c)+k \\ \\ \\ \bullet \ c>0 \ Shift \ f(x) \ c \ units \ to \ the \ left \\ \\ \bullet \ c0 \ Shift \ f(x) \ k \ units \ up \\ \\ \bullet \ k$

On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is $x=3$ . The y-intercept is (0, 11) is indicated in the figure.

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

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3 years ago

What times what equals 29 besides 29 times 1

Feliz [49]

<span>The answer is 1 times 29. Number 29 is a prime number, which means that its multiples are 1 and itself (29). 29 = 29 * 1. According to the commutative law, in addition and multiplication, numbers can be swapped but the result will remain the same: a+b=b+a or a*b=b*a. Therefore, 29 = 29 * 1 = 1 * 29. In other words, 29 times 1 equals 29 and 1 times 29 equals 29, too.</span>

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2 years ago

What is 0.888 into a fraction, is it over 100ths or 1,000's?

Bingel [31]

Thanks for using Brainly!

$0.888 = 111/125 = 88.8percent$