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UkoKoshka [18]
3 years ago
12

What does it mean when a figure is dilated by a scale factor of 1/4

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
7 0
When a figure is dilated by a scale factor of 1/4 it means it is 1/4 the original size 
docker41 [41]3 years ago
3 0
It means the figure is 1/4 the size of the original figure
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Find the 15th term of the arithmetic sequence -5x+3−5x+3, -9x-2−9x−2, -13x-7,.......???
Anna35 [415]

Answer:

- 61x - 67

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

d = - 9x - 2 - (- 5x + 3)

  = - 9x - 2 + 5x - 3

  = - 4x - 5 and a₁ = - 5x + 3, thus

a_{15} = - 5x + 3 + 14(- 4x - 5) = - 5x + 3 - 56x - 70 = - 61x - 67

5 0
4 years ago
State if the two triangles are congruent. if they are state how you know.
nlexa [21]
1) The triangles are congruent by SSS.

The two tick marks indicate two pairs of congruent sides; it is evident that the third side is congruent by the way the diagram is drawn - the bases of the triangles are together and appear to be the same length.

2) The triangles are congruent by SAS.

The two pairs of tick marks indicate congruent sides, and their included angles are congruent because they are vertical angles, and vertical angles are always congruent.
5 0
3 years ago
Given that ​f(x) = x + 4 and ​g(x)​ = x^{2} - x, find ​(f​ + g)(​5), if it exists.
user100 [1]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Differentiate y=x⁴(1-2x⁵)⁶(5-8x³)².​
Liula [17]

Step-by-step explanation:

Let y(x)=f(x)g(x)h(x) where

f(x) = x^4

g(x)= (1 -2x^5)^6

h(x)= (5 - 8x^3)^2

so that

y(x) = x^4(1 -2x^5)^6(5 - 8x^3)^2

Recall that the derivative of the product of functions is

y'(x)=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)

so taking the derivatives of the individual functions, we get

f'(x) = 4x^3

g'(x) = 6(1 - 2x^5)^5(-10x^4)

h'(x) = 2(5 - 8x^3)(-24x^2)

So the derivative of y(x) is given by

y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 +  x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 +  x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)

or

y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2

\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 60x^8(1 -2x^5)^5(5 - 8x^3)^2

\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 48x^6(1 -2x^5)^6 2(5 - 8x^3)

3 0
3 years ago
The box-and-whisker plot represents the number of points scored by teams in a soccer league last year.
Yuki888 [10]
C because a is incorrect and so is b and d
3 0
3 years ago
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