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ollegr [7]
3 years ago
13

Factorize the polynomial: 6q^2 – q – 12.

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Answer:

Step-by-step explanation:

What two number multiply to equal 6*(-12) and add to equal -1? That is -9 and +8.

6q^2-9q+8q-12

Now factor by grouping

(6q^2-9q)+(8q-12)\\3q(2q-3)+4(2q-3)\\(3q+4)(2q-3)

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The circumference of Dion's bicycle tire is 56.52 inches. What is the diameter of Dion's bicycle tire? (Use 3.14 for i.)​
Dafna1 [17]

Answer:

<h2>The answer is 18 inches</h2>

Step-by-step explanation:

Circumference of a circle = πd

where

d is the diameter of the circle

From the question

Circumference = 56.52 inches

π = 3.14

To find the diameter substitute the value of the circumstance into the above formula and solve for the diameter

That's

56.52 = πd

d =  \frac{56.52}{\pi}  \\ d =  \frac{56.52}{3.14}

We have the final answer as

<h3>d = 18 inches</h3>

Hope this helps you

8 0
3 years ago
Translate the scenario below to a linear equation, then solve.
sashaice [31]

Answer:  x + 2x + x-40 = 180

First angle= 55º

Second angle= 110º

Third angle= 15º

​Step-by-step explanation:  The sum of the angles of a triangle is 180º

Take the values given and  use x as the unknown first angle. then create terms for the other two angles based on that:

The second angle of a triangle is double the first angle  becomes 2x

The third angle is 40 less than the first angle becomes x-40

x + 2x + x-40 = 180  Solve by adding like terms . x + 2x + x = 4x

4x -40 = 180   Add 40 to both sides to "cancel" the -40 on the left

4x + 40 -40 = 180 + 40   becomes  

4x = 220  Divide both sides by 4 to "cancel" the 4 on the left side

4x/4 = 220/4

x = 55   This is the first angle. Substitute 55 for the  "x" in the original terms

2(55) = 110   The second angle

(55) -40 = 15   the third angle

5 0
3 years ago
Two numbers which differ by 46 using 29,17,38,71,35,63,24
Nikitich [7]

I think 24 but im not 100 percent sure more like 60               .

7 0
3 years ago
Find the value of the variable.
KengaRu [80]

Answer:

x=8

base side of isosceles triangle

y=√{8²+8²}=8√2

6 0
3 years ago
Can you help please?
sdas [7]

Answer:

i think that the one that you are on is correct

Step-by-step explanation:

11

7 0
3 years ago
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