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pychu [463]
3 years ago
5

A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), a

nd C′(15, 0). The origin is the center of dilation. What is the scale factor of the dilation?
Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

9514 1404 393

Answer:

  2.5

Step-by-step explanation:

The scale factor will be the ratio of any two corresponding non-zero coordinates:

  B'y/By = 10/4 = 2.5

  C'x/Cx = 15/6 = 2.5

The scale factor is 2.5.

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What are the first five terms of the recursive sequence?
Reika [66]

Answer:

the fourth option

9, 30, 93, 282, 849

Step-by-step explanation:

a1 = 9

based on the sequence definition

a2 = 3×a1 + 3 = 3×9 + 3 = 27 + 3 = 30

the only answer option with a2=30 is the fourth one. all others must be therefore wrong.

check

a3 = 3×a2 + 3 = 3×30 + 3 = 93

a4 = 3×a3 + 3 = 3×93 + 3 = 282

a5 = 3×a4 + 3 = 3×282 + 3 = 849

confirmed.

8 0
3 years ago
Which expression means the sum of 5 and a number? A. g × 5 B. g – 5 C. g + 5 D. g ÷ 5
wel
For this case, the first thing you should do is define a variable.
 We have then:
 g: unknown number.
 We now write the expression in algebraic form.
 the sum of 5 and a number:
 g + 5
 Answer:
 
An expression that means the sum of 5 and a number is:
 
C. g + 5
5 0
3 years ago
Which two operations are needed to write the expression that represents "eight more than the product of a number and
allsm [11]

Answer:

Addition and Multiplication

Step-by-step explanation:

The keywords <em>more</em><em> </em><em>than</em><em> </em>in this case means "addition", and the keyphrase <em>product</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>number</em><em> </em><em>and</em><em> </em><em>two</em><em> </em>means "multiplication". Here is what your expression should look like:

2n + 8

I am joyous to assist you anytime.

3 0
3 years ago
Add 6 to the quotient of j and k
BARSIC [14]

Answer:

     j/k + 6

Step-by-step explanation:

Add 6 to the quotient of j and k comes out to:

                                  j/k + 6

4 0
3 years ago
Let f(x)= x^4 + ax^2 +b. The graph of f has a relative minimum at (0,1) and an inflection point when x=1. The values of a and b
Delvig [45]
f(x)=x^4+ax^2+b\\f'(x)=4x^3+2ax\\f''(x)=12x^2+2a\\f''(1)=12(1)^2+2a\\12(1)=-2a\\a=-6\\\\f(x)=x^4-6x^2+b\\(1)=(0)^4-6(0)^2+b\\b=1

a=-6
b=1
8 0
4 years ago
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