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hodyreva [135]
3 years ago
10

Simplify the expression below 6m^3-16m^2+15m-40 / 2m^2+5?

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

6m^3-16m^2+15m-40=2m^2(3m-8)+5(3m-8)=(3m-8)(2m^2+5)\\\\\dfrac{6m^3-16m^2+15m-40}{2m^2+5}=\dfrac{(3m-8)(2m^2+5)}{2m^2+5}=3m-8

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8 0
3 years ago
△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.
Artist 52 [7]

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF      ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF   ...................CPCTC

Substituting the values we get

4x-2=x^{2}-7\\x^{2}-4x-5=0

Now By Factorizing we get

x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5

Therefore the value of x is 5.

8 0
4 years ago
Store has apples for $3 for 2 pounds. How many pounds of apples can you buy for $9. If an apple is approximately 5 ounces how ma
Maru [420]

Answer: You can get 6 pounds apples for $9. Which will be approximately 19 apples.


Step-by-step explanation:

6 pounds = 96 ounces

96/5 = 19.2

8 0
4 years ago
You try! Which of the following boxes is filled in
Verizon [17]

Answer:

The first one.

Step-by-step explanation:

The first one.  7x² times 2x = 14x³

3 0
3 years ago
Read 2 more answers
Two equations are given below:
ch4aika [34]
Rewrite the equations;
m+4n=8
m-n=-2

Eliminating m gives;
5n=10
n=2
Replacing for n in the first equation;
m+4(2)=8
m=8
Answer;
(0, 2)
6 0
3 years ago
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