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RideAnS [48]
2 years ago
6

Part A: If (6^2)x = 1, what is the value of x? Explain your answer. (5 points)

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
4 0
A)
36x = 1
Hence, x = 1/36
b)
(6^0)x = 1
1x = 1 (indices rule x^0 = 1)
Hence, x = 1
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The average of four numbers is 98. If three of the numbers are 86,87,and 91 what is the fourth number?
timurjin [86]
To find the average, you have to add all the numbers up and then divide by the amount of numbers you added together.

Equation: (86+87+91+x)/4=98
Solve for x:
86+87+91+x=98*4
264+x=392
x=392-264
x=128

The fourth number is 128
7 0
3 years ago
11. Maria's age is 3 years more than twice George's age. Which expression represents George's age in terms of Maria's?
leonid [27]

Answer:

C

Step-by-step explanation:

Okay, the catch of this question is that they do a very good job of explaining Maria's age in terms of George's age, but they leave George's age in terms of Maria's all up to you.

First start off by doing an expression of what they explicitly give you. Maria's age in terms of George's age.

Let's use variables g, representing George's age and m representing Maria's age

m = 2g + 3

Okay, this is all dandy and all, but they ask us for George's age in terms of Maria's, so we need to isolate for g.

subtract the 3 from both sides, like so:

m - 3 = 2g

then divide 2 from both sides: (remember we're dividing the whole thing)

(m-3)/2 = g

Now we have an expression for George's age in terms of Maria's.

g = (m-3)/2 or g = \frac{m-3}{2}

The answer that gives us this, is C.

6 0
2 years ago
After a dilation with center (0,0) the image of DB is D’B’ if DB=6 and D’B’=2 the scale factor of dilation is what ?
bezimeni [28]

Answer:

scale factor = \frac{1}{3}

Step-by-step explanation:

the scale factor is the ratio of corrresponding sides. image to original.

scale factor = \frac{D'B'}{DB} = \frac{2}{6} = \frac{1}{3}

7 0
2 years ago
Points U(4, - 2) and V(6, – 1).
olchik [2.2K]
Type it into the app or online on ‘Desmos’ it a really good graphing calculator. I hope this helps
7 0
3 years ago
In parallelogram ABCD, LA = 120°. What is AD?<br> O80°<br> O 120°<br> O60°
erastovalidia [21]
Angle D is 60° because it is a supplementary angle, meaning 180 (straight line) - 120 (angle A) = 60°
3 0
3 years ago
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