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mario62 [17]
3 years ago
13

Factor the expression t^2+10t+16

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0
What 2 numbers multiply to get 16 and add to get 10?
2 and 8
(t+8)(t+2)
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5x 2 +5x x 2 −1 ​ What is an equivalent expression in lowest terms?
arsen [322]

Answer:

Step-by-step explanation:

Explanation:

Start by writing out your starting expression

x

2

−

5

x

2

+

5

x

−

14

−

x

+

3

x

+

7

Next, factor the denominator of the first fraction

x

2

+

5

x

−

14

x

2

+

7

x

−

2

x

−

14

x

(

x

−

2

)

+

7

(

x

−

2

)

(

x

−

2

)

(

x

+

7

)

Your expression is thus equivalent to

x

2

−

5

(

x

−

2

)

⋅

(

x

+

7

)

−

x

+

3

x

+

7

Since you have to subtract two fractions, you need to find the commonon denominator first. To do that, multiply the second fraction by  

x

−

2

x

−

2

x

2

−

5

(

x

−

2

)

⋅

(

x

+

7

)

−

(

x

+

3

)

⋅

(

x

−

2

)

(

x

−

2

)

⋅

(

x

+

7

)

This will get you

x

2

−

5

−

(

x

+

3

)

(

x

−

2

)

(

x

−

2

)

(

x

+

7

)

x

2

−

5

−

x

2

−

x

+

6

(

x

−

2

)

(

x

+

7

)

=

1

−

x

(

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)

(

x

+

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)

5 0
2 years ago
Fill in the blank with the correct inequality symbol​
12345 [234]

Answer:

>

Step-by-step explanation:

4 is greater than 3

sqrt15 is greater than sqrt6

So 4+sqrt15 must be greater than 3+sqrt6

6 0
2 years ago
Two-thirds a number plus 4 is 7
ICE Princess25 [194]

The equation (form) is: \frac{2}{3}x + 4 = 7

The solution of the equation is: x = \frac{9}{2}


Explanation:

First, let's call the number we are going to solve for "x".

Then two thirds of this number can be written as:

\frac{2}{3}x

Then "plus 4" means add 4 we get:

\frac{2}{3}x + 4

"is 7" means that the above expression is equal to 7 (as follows):

\frac{2}{3}x + 4 = 7

The solution of the above equation is:

\frac{2}{3}x + 4 = 7 \\ \frac{2}{3}x = 3 \\ x =  \frac{9}{2}

6 0
3 years ago
Please help me !!!!!!!!!!​
Lera25 [3.4K]

on the left yes is square

no on the left is rectangle

yes on the right is square

all no on the rights can be triangle

Step-by-step explanation:

8 0
3 years ago
Nate uses 8 square tiles to make a design in art class. Each tile is the same size and shape. What fraction of the total area of
Vsevolod [243]
Each tile represents 1/8 of the total design area.


8 0
3 years ago
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