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liraira [26]
3 years ago
5

Factor 8ax + 20a + 6bx + 15b

Mathematics
1 answer:
erica [24]3 years ago
3 0
Split this into 2 parts: 8ax + 20a,
+ 6bx + 15b
8ax + 20a --> 4a (2x + 5)
+ 6bx + 15b --> + 3b (2x + 5)
Now combine them:
4a (2x + 5) + 3b (2x + 5), and now factor out the 2x+5
(2x + 5)(4a + 3b)
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Solve the system by substitution.
kirill [66]
<h2>Answer:</h2>

x = 1

y = 1

<h3>Step-by-step explanation:</h3>

y=-3x+4\\ y=x

Substitute into one of the equations

-3x+4=x

Rearrange variables to the left sider of the equation

-3x-x=-4

Combine like terms

-4x=-4

Divide both sides of the equation by the coefficient of variable

x=\frac{-4}{-4}

Determine the sign for multiplication or division

x=\frac{4}{4}

Cross out the common factor

x=1

Substitute into one of the equations

y=1

The solution of the system is

\left \{ {{x=1} \atop {y=1}} \right.

<em>I hope this helps you</em>

<em>:)</em>

8 0
2 years ago
A cone and its dimensions are shown in the diagram. Which measurement is closest to the volume of the cone in cubic inches?
Diano4ka-milaya [45]
20 Cubic Inches^3.

Explanation:

The volume of a cone is Pi*R^2*H*1/3

We know the height, but we are given the diameter instead of radius. So divide 5.625 by 2. You get 2.8125.

Plug everything into the formula.

Pi*2.8125^2*7.5*1/3

(The ^2 means squared, or to the second power)

You get a number close to 20. Since we don’t know Pi, and we are not given a substitute for Pi, we make the answer in terms of Pi.

20 Cubic Inches^3.

Also, people who don’t know the answers to questions shouldn’t just put a random answer for the points. It’s unfair.


3 0
3 years ago
Curtis lives 9 miles away from Jean. If Curtis can ride his bike at a constant rate of 12 miles per hour, how many minutes would
sasho [114]
It will take Curtis 45 minutes to ride his bike from his house to Jean's house.
4 0
3 years ago
I did the first question already I need help with the second pls :&gt;
OleMash [197]

Answer:

The box is considered a cube so,

4 x 4 = 16

56 divided by 16 = 3.5 is your height

1/2 x 1/2 x 1/2 = 1/8.

56 divided by 1/8 = 7 cubes

5 0
3 years ago
What are the x-intercepts and y-intercepts of 2x + 3y = 6?
Sonja [21]
The y intercept is at 2 and the x intercept is at 3
3 0
3 years ago
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