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Marina86 [1]
3 years ago
5

Use the Distributive Property to write each expression as an equivalent algebraic expression. (7 + a)3 Question 4 options: 3(7a)

21 + 3a 10 + 3a 7 + 3a
Mathematics
1 answer:
AysviL [449]3 years ago
5 0

Answer:

(B)21+3a

Step-by-step explanation:

An expression is said to be distributive when:

(a+b)c=a \cdot c+b \cdot c

Given the algebraic expression: (7 + a)3

Applying the distributive property

(7 + a)3 = 7 \cdot 3+a \cdot 3\\=21+3a

An equivalent expression is 21+3a.

The correct option is B

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Can someone answer with steps and explanation? Thanks.
Vika [28.1K]

Answer:

A dilation by a factor of three about Point T followed by a translation of two units downwards.

Step-by-step explanation:

When transforming functions, we will reflect/dilate the figure first and then translate it. This is directly from the order of operations.

Since we are trying to determine the transformation that was performed, we can try to map ΔS'T'U' onto ΔSTU. We can start by translating the figure and then determining any reflections/dilations.

First, we can translate ΔS'T'U' up two units to map T' onto T. This is represented by the black triangle in the image below. Let the black triangle be ΔS''T''U''. (T'' and T are the same point.)

Next, notice that from Point T'' to U'', we move nine units right and six units up.

From Point T to Point U, we move three units right and two units up.

Likewise, from Point T'' to S'', we move six units left and nine units up.

From Point T to Point S, we move two units left and three units up.

Therefore, to map ΔS''T''U'' onto ΔSTU, we dilate ΔS''T''U'' about Point T by a factor of 1/3.

Hence, by reversing the transformations, to acquire ΔS'T'U', we can see that we will dilate ΔSTU by a factor of three about Point T and then a perform a translation of two units downwards.

8 0
3 years ago
Compute the requested value. Choose the correct answer.
Fiesta28 [93]

Original price of the item = $14.95

Price after discount = $13.79

Discount offered = original price - price after discount = 14.95- 13.79 = $1.16

Now let us find the percentage of discount offered.

Percentage discount is given by the formula:

Percentage discount = \frac{MP-SP}{MP}*100

Where MP= Marked price= original price

SP= selling price= price after discount

Percentage discount = \frac{1.16}{14.95}*100

Percentage discount = 7.759 %

7 0
3 years ago
Read 2 more answers
Lin uses an app to graph the charge on her phone.
exis [7]

Answer:

  • See below

Step-by-step explanation:

<u>Use the graph to answer the following questions:</u>

When did she start using her phone?

  • At 2 afternoon

When did she start charging her phone?

  • At 8 afternoon

While she was using her phone, at what rate was Lin’s phone battery dying?

<u>From 100% to 40% between 2PM and 4 PM:</u>

  • (100 - 40)/(4 - 2) = 60/2 = 30% per hour
8 0
2 years ago
Read 2 more answers
I will mark as brainliest if you can answer. :)
Yuri [45]

not enough information

8 0
3 years ago
V2 - 15 = -2v Solve the Quadratic. What are the 2 solutions?
ki77a [65]

Answer:

v=-5 and v=3

Step-by-step explanation:

We are given that

v^2-15=-2v

We have to find  two solutions of quadratic equation.

v^2+2v-15=0

Using addition property of equality

v^2+5v-3v-15=0   (By using factorization method)

v(v+5)-3(v+5)=0

(v+5)(v-3)=0

Substitute each factor equal to 0

v+5=0 and v-3=0

v=-5 and v=3

Hence, two solutions of quadratic equation are

v=-5 and v=3

8 0
3 years ago
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