The table shows the relationship between r and s, where s is the independent variable.

Solve each equation by finding all roots x^4-16=0

Alexandra [31]

Add both sides by 16
so you'll have x^4 =16
take the 4th root of both sides and you'll get x= 2

4 0

3 years ago

The coordinates of quadrilateral VWXY are given below. Find the coordinates of its image after a dilation with the given scale f

Lapatulllka [165]

Answer:

The coordinates of its image after dilation by a scale factor of 2 will be:

V'(12, 4)

W'(-4, 8)

X'(-6, -10)

Y'(6, -10)

Step-by-step explanation:

Given the quadrilateral VWXY

V(6, 2)

W(-2, 4)

X(-3, -5)

Y(3, -5)

A dilation by a scale factor of 2 means every coordinate of the original quadrilateral gets multiplied by the scale factor (x2).

<u>Using the formula of dilation by a scale factor of 2</u>

Dilation with scale factor 2, multiply by 2

(x, y) → (2x, 2y)

Thus, the coordinates of its image after a dilation will be:

(x, y) → (2x, 2y)

V(6,2) → (2(6), 2(2)) = V'(12, 4)

W(-2, 4) → (2(-2), 2(4)) = W'(-4, 8)

X(-3, -5) → (2(-3), 2(-5)) = X'(-6, -10)

Y(3, -5) → (2(3), 2(-5)) = Y'(6, -10)

Therefore, the coordinates of its image after dilation by a scale factor of 2 will be:

V'(12, 4)

W'(-4, 8)

X'(-6, -10)

Y'(6, -10)

8 0

3 years ago

Find the 84th term of the arithmetic sequence −27,−12,3

jarptica [38.1K]

Aritmetic has a common difference
-27 to -12 is a difference of 15
-12 to 3 is a difference of 15

an=a1+d(n-1)
a1=first term
d=common difference

fist term is -27
common difference is 15

an=-27+15(n-1)
84th term is n=84
a84=-27+15(84-1)
a84=-27+15(83)
a84=-27+1245
a84=1218

the 84th term is 1218

6 0

3 years ago

Read 2 more answers

Solve for x 19-24. find the measure of the angle indicated in bold for 25-28.

Elodia [21]

N 19)
angle (21x+6) is equal angle 90°-----> by alternate exterior angles
so
21x+6=90--------> 21x=84----------> x=4°

the answer N 19) is 4 degrees

N 20)
angle 75 is equal angle 11x-2-----> by corresponding angles
so
11x-2=75-----> 11x=77--------> x=7°

the answer N 20) is x=7 degrees

N 21)
angle 60 is equal angle (8x-4)------> by alternate interior angles
so
8x-4=60-----> 8x=64--------> x=64/8-----> x=8°

the answer N 21) is x=8 degrees

N 22)
angle (x+139) is equal to angle 132-----> by alternate interior angles
so
x+139=132-------> x=132-139--------> x=-7 °

the answer N 22) is x=-7 degrees

N 23)
angle (-1+14x) is equal to angle (12x+17)----> by alternate exterior angles
so
-1+14x=12x+17------> 14x-12x=17+1----> 2x=18----> x=9

the answer N 23) is x=9 degrees

N 24)
angle (23x-5) is equal to angle (21x+5)----> by corresponding angles
so
23x-5=21x+5-----> 23x-21x=5+5-----> 2x=10-----> x=5

the answer N 24) is x=5 degrees

N 25)
angle (x+96) and angle (x+96)-------> are supplementary angles
so
x+96+x+96=180--------->2x+192=180------> x=-6°
the angle indicated in bold is (-6+96)=90°

N 26)
angle (20x+5) and angle (24x-1)-------> are supplementary angles
so
20x+5+24x-1=180------> 44x=176-----> x=4°
the angle indicated in bold is (20*4+5)=85°

N 27)
angle (6x) is equal to angle (5x+10)--------> by corresponding angles
so
6x=5x+10------> 6x-5x=10------> x=10
the angle indicated in bold is (6*10)=60°

N 28)
angle (x+109) and angle (x+89) are supplementary angles
so
x+109+x+89=180----> 2x=-18-------> x=-9
the angle indicated in bold is (x+89)----> -9+89=80°

6 0

3 years ago

146, 74, 38, 20, ? what would the next number be in this sequence?

Anuta_ua [19.1K]

Looking at the numbers, we can see that the differences are 72, 36, and 18. Notice that they are each factors of the next by the same constant 2.

18 * 2 = 36
36 * 2 = 72

There, it means that 18/2 will be subtracted from 20.

20 - 18/2
= 20 - 9
= 11

The next number in the sequence would be 11. Hope this helps!

3 0

3 years ago