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mart [117]
3 years ago
12

Triangle ABC is to be dilated through point P with a scale factor of 3. How many units away from point A along ray PA will A’ be

located?

Mathematics
2 answers:
kakasveta [241]3 years ago
8 0

Answer:

Point A' will be located 10 units away from point A along ray PA

Step-by-step explanation:

we have

The scale factor is 3

step 1

Find out the distance PA'

we know that

The distance PA' is equal to multiply the distance PA by the scale factor

so

PA'=PA*3

we have

PA=5\ units

substitute the given values

PA'=(5)*3=15\ units

step 2

Find out how many units away from point A along ray PA will A’ be located

we know that

PA'=PA+AA'

we have

PA=5\ units

PA'=15\ units

substitute the given values and solve for AA'

15=5+AA'

AA'=15-5=10\ units

therefore

Point A' will be located 10 units away from point A along ray PA

mojhsa [17]3 years ago
4 0

Answer:

Hi I am on it right now what is the answer?

Step-by-step explanation:

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A spinner is divided into eight equal-sized sections, numbered 1 to 8, inclusive. What is true about spinning the spinner one at
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Answer with explanation:

The number of section into which Spinner is divided =Number from 1 to 8={1,2,3,4,5,6,7,8}

Now, Spinner is Spun once .

The Correct statement among the given statements are:

→1.   S={1,2,3,4,5,6,7,8}

→2. If A is a subset of S, A could be {1,2,3} , because , {1,2,3}⊂{1,2,3,4,5,6,7,8}.

→5.If a subset A represents the complement of spinning an odd number, it’s sample space is A={2,,4,6,8}

A=odd number={1,3,5,7}

A's Complement=Even Number={2,4,6,8}

Why, not 3 and 4, because, The number of elements in the set is from 1 to 8, but the subset has three elements, 7,8, and 9.Element, 7 ∈ S, 8∈S, but , 9∈S.

Also, number less than 4, is equal to ={1,2,3}, but in the statement, it is given that,number less than 4, it’s sample space is A={1,2,3,4},which is Incorrect.

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3 years ago
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Step-by-step explanation:

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If x = 15 cm, y = 36 cm, and z = 39 cm, what is the surface area of the geometric shape formed by this net? A. 1,890 cm2 B. 2,88
zheka24 [161]

Answer:

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Step-by-step explanation:

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2 years ago
F(x) = | 3x+1 | find the vertex of value function
PilotLPTM [1.2K]

Answer:

The vertex is the point (-\frac{1}{3},0)

Step-by-step explanation:

we know that

The general form of an absolute value equation is

y=a\left|x-h\right|+k

The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables  h, and k, tell us how far the graph shifts horizontally and vertically

The vertex is the point (h,k)

we have

f(x)=\left|3x+1\right|

Rewrite the expression (3x+1)

(3x+1)=\frac{3}{3} (3x+1)=3(x+\frac{1}{3})

substitute

f(x)=\left|3(x+\frac{1}{3})\right|

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therefore

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see the attached figure to better understand the problem

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