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Fofino [41]
3 years ago
14

Greatest common factor between 84 and 56

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0
The greatest common factor is 28.

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Then the greatest common factor is 28.
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Sally makes 3 quarts of punch. How much punch is that in pints?
notsponge [240]

Answer:

6 pints

Step-by-step explanation:

8 0
2 years ago
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For for each quadratic function below use method of completing the Square or averaging the x-intercept to write the equation in
lions [1.4K]

We have the expressions:

f(x)=x^2+6x+15y=x^2-4x+9f(x)=x^2-8xy=x^2+7x-2

Now, with this we operate as follows:

a)

f(x)=x^2+6x+15=x^2+6x+9+15-9\Rightarrow(x+3)^2+6

Then, the axis is x = -3 and the vertex (-3, 6)

b)

y=x^2-4x+9=x^2-4x+4+9-4\Rightarrow(x-2)^2+5

Then, the vertex is (2, 5) and the axis is x = 2.

c)

f(x)=x^2-8x+4-4\Rightarrow(x-2)^2-4

Then, the vertex is (2, -4) andd the axis is x = 2.

d)

y=x^2+7x-2=x^2+7x+\frac{49}{4}-2-\frac{49}{4}\Rightarrow(x+\frac{7}{2})^2-\frac{57}{4}

Then, the vertex is (-7/2, -57/4) and the axis is -7/2.

7 0
1 year ago
the mantle layer of earth begins about 70 kilometers underneath the surface. The layer called the outer core begins about 2970 k
gavmur [86]
Given:
<span>mantle layer of earth begins about 70 kilometers underneath the surface
</span><span>outer core begins about 2970 kilometers underneath the surface

Since we need to find the position of each layer </span><span>relative to the surface, the surface will serve as the point of origin or 0. Below the surface infers a negative value. So, Mantle layer is -70 km from the surface while outer core is -2970 km under the surface.

Comparing -70 and -2970, -70 has a greater value than -2970. The nearer the number is to the origin or 0, the higher its value.

Comparing the absolute greater value of -70 and -2970, -2970 has a greater absolute value. This is because absolute value is the positive value of the number. Absolute value of -70 is 70 while absolute value of -2970 is 2970. Thus, -2970 has a greater absolute value. </span>
6 0
3 years ago
a circle has a radius of 9 inches. In inches, what is the length of the arc intercepted by central angle of 3.25 radians
frutty [35]

Answer:

\boxed {\boxed {\sf 29.25 \ inches}}

Step-by-step explanation:

Since we are given the central angle in radians, we should use the following formula for the arc length.

s= \theta r

Where <em>s</em> is the arc length, θ is the angle in radians, and <em>r</em> is the radius.

We know this circle has a radius of 9 inches and the central angle is 3.25 radians.

  • θ= 3.25
  • r= 9 in

Substitute the values into the formula

s= (3.25)( 9 \ in)

Multiply.

s= 29.25 \ in

The arc length is <u>29.25 inches. </u>

3 0
3 years ago
On a coordinate plane, a rectangle has points (1, 2), (1, negative 2), (negative 4, negative 2), (negative 4, 2).
kondor19780726 [428]

Answer:

<em>the length is 12</em>

<em>the width is 8</em>

Step-by-step explanation:

<em>add up all the coordinates</em> and you'll find it. also if I'm wrong I apologize I wasn't given a picture!

- Junkerss

7 0
3 years ago
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