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2 years ago

Find the value. * if y3 = 30 and z= 10, what is the value of (yz) 12?

Mathematics

1 answer:

katovenus [111]2 years ago

4 0

Answer:

y^3 =30

y= (30)^(1/3) ------(1)

z=10 -------(2) -----(2)

From (1) and (2);

(y * z)^12 = (y)^12 * (z)^12

= ((30)^(1/3))^12 * (10)^12

= (30)^(12/3)* (10)^12

= (30)^(4) * (10)^12

= 810 000 * (10)^12

= 81 * (10)^16

Step-by-step explanation:

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Is the point (3, -2) a solution to the following system of equations? How do you know?

iris [78.8K]

Answer:

YES

Step-by-step explanation:

Any straight line can be represented by an equation of the form

Y = mX + b

where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get

Y = -3X + 7

-2 = -3(3) + 7

-2 = -9 + 7

-2 = -2 True

AND,

Y = 2X - 8

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 True

So since both are true, yes (3, -2) is the solution.

3 0

2 years ago

Evaluation: Decisions About Equivalence

lora16 [44]

Answer:

x+x+x+x=4x

x+5=5x

There equivalent

Step-by-step explanation:

x+x+x+x=4x:

count the number of x's they equal 4 so it would be 4x

x+5=5x

you have 5 x's it would equal 5x

3 0

2 years ago

Solve:

Snowcat [4.5K]

4x+11 is The answer

-2x-(-6x) two negatives make a positive so -2x-(-6x) is now -2x+6x
-2x+6x=4x

4-(-7) again two negatives make a positive so 4-(-7)
Is now 4+7
4+7=11
I hope that this was helpful if so Mark as brainliest

8 0

2 years ago

Select all ratios equivalent to 5:3. 13:9 9:15 20:12

torisob [31]

Answer:

20:12

brainlest if it helped

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Angle $eab$ is a right angle, and $be = 9$ units. what is the number of square units in the sum of the areas of the two squares

Alla [95]

Let the measure of side AB be x, then, the measue of side AE is given by

$AE=\sqrt{9^2-x^2}$ .

Now, ABCD is a square of size x, thus the area of square ABCD is given by

$Area=x^2$

Also, AEFG is a square of size $\sqrt{9^2-x^2}$ , thus, the area of square AEFG is given by

$Area=\left(\sqrt{9^2-x^2}\right)^2=9^2-x^2=81-x^2$

The sum of the areas of the two squares ABCD and AEFG is given by

$x^2+81-x^2=81$

Therefore, the number of square units in the sum of the areas of the two squares ABCD and AEFG is 81 square units.

8 0

2 years ago