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3 years ago

What is the greatest common factor of 42 and 63

1 answer:

5 0

$42|2\\21|3\\.\ 7|7\\.\ 1|\\42=2\times\fbox3\times\fbox7\\\\63|3\\21|3\\.\ 7|7\\.\ 1|\\63=\fbox3\times3\times\fbox7\\\\GCF(42;\ 63)=\fbox3\times\fbox7=\boxed{\boxed{21}}$

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Solve each equation. 7) 18 =-2+a 8) -7= m - 12 9) -8(7 + 7n)=-336 10) -140=-7(-4+36)

lesya692 [45]

Answer:

7) a= 20

8) m= 5

9)n = 5

10) b = 8

Step-by-step explanation:

7) 18+2=-2+2+a

>> 20 = a >> a = 20

18 + 2 = 20 so that isolates the variable leaving a = 20

8) -7+12 = m -12+12

>>> 5 = m >> m = 5

-7 + 12 = 5 so that again isolates the variable leaving m = 5

9) -8(7 + 7n) = -336

>> -56+56 + -56n = -336+56

>>> -56n/-56 = -280/-56

>>>> n = 5

use distributive property, cancel out necessary numbers, isolate the variable. leaving n = 5.

10) -140 = -7(-4 + 3b)

>> -140 = 28 - 21b >> -140-28 = -21b +28-28 ( flipped the numbers)

>>> -168/-21 = -21b /-21

>>>> 8 = b >> b =8

Hope it helps!

5 0

3 years ago

A square has an area of 64 square units. A cube has a volume of 64 cubic units. What is the difference in the side length of the

Rina8888 [55]

The formula in solving the area of a square is Area = a² where "a" is for the length of the side. The area formula in solving a cube is Area = 6a² where "a" is for the length of its side.
Area of square = a²
64 = a²
a = 8 units

Area of cube = 6a²
64= 6a²
a = 3.27 units

The difference of side of the square and side of the cube is shown below:
Difference = 8 - 3.27
Difference = 4.73 units.

The answer is 4.73 units.

4 0

3 years ago

Is this right? and if so. how

Murrr4er [49]

You answer is correct. For example

Even:
16+4 = 20

194+4=198

Odd:
13+4=17

235+4=239

3 0

3 years ago

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability that

Likurg_2 [28]

White 3/8
Green 2/8
Red 2/8
Blue 1/8

Blue 1/7

7 0

3 years ago

The function h(x) = 1/2 (x+3)2 +2. How is the graph of the h(x) translated from the parent graph of a quadratic function, F(x) =

Natali5045456 [20]

For this case, the parent function is given by:
$F (x) = x ^ 2
$
We apply the following function transformation:
Vertical compressions:
To graph y = a * f (x)
If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
We have then:
$y = (1/2) * x ^ 2
$
Horizontal translations:
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
$y = (1/2) * (x + 3) ^ 2
$
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
We have then:
$h (x) = (1/2) * (x + 3) ^ 2 + 2
$
Answer:
Vertical compression by factor of 1/2. Horizontal displacement 3 units to the left. Vertical displacement 2 units up.

3 0

3 years ago