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aleksley [76]
2 years ago
13

What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?

Mathematics
1 answer:
horrorfan [7]2 years ago
6 0
The\ perfect\ scuare:(a+b)^2=a^2+2ab+b^2\\------------------\\\\x^2+2x\to a=x;\ 2ab=2xb\to b=1\\\\therefore\\\\x^2+2x\cdot1+1^2=x^2+2x+\boxed{1}\leftarrow\boxed{A}
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Help me plz. I don’t really understand this.
Morgarella [4.7K]

Answer:

K=8

Step-by-step explanation:

The triangles are similar so you can set up the porpotions: 3/6=4/k then you cross multiply and solve for k

8 0
2 years ago
Find the value of y.<br><br> 5<br> 8<br> 4<br> 2<br><br> 50 Pts!
Vinvika [58]

Answer and Explanation:

Since this is a 30-60-90 triangle, you can use the ratio of side lengths specific to this type of triangle:

x = 4√(2)

y = 2(4) = 8

because where 4 = T,

x = T√2    and     y = 2T

so again:

x = 4\sqrt{2}\\y = 8

8 0
2 years ago
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Two young sumo wrestlers decided to go on a special diet to gain weight rapidly. They each gained weight at a constant rate. The
Radda [10]

Answer: the first wrestler gains more at the beginning, the second wrestler gains more faster

Step-by-step explanation:

5 0
3 years ago
The cost to manufacture t shirts can be represented by the function c(x)=10.5x complete the following statement about the functi
Advocard [28]

For this case we have:

Cost of manufactures of T-shirts C(x)=10.5x

where x represents the number of T-shirts

Part A:

Substituting x = 8 in the total cost equation you have to:

C (8) = (10.5) (8)\\\\C (8) = 84\\

Thus, the cost of 8 shirts will be C (8) = 84\\

Part B:

If x = 12 then

C (12) = (10.5) (12)\\\\C (12) = 126\\

Thus, the cost of 12 shirts will be C (12) = 126\\

Answer:

C (8) = 84\\\\C (12) = 126\\\\


8 0
3 years ago
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If EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH
olga55 [171]

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

\angle EFG=\angle EFH+\angle HFG

18x+11=(5x+1)+(62)

18x+11=5x+63

Isolate variable terms.

18x-5x=63-11

13x=52

Divide both sides by 13.

x=\dfrac{52}{13}

x=4

The value of x is 4.

\angle EFH=(5x+1)^\circ

\angle EFH=(5(4)+1)^\circ

\angle EFH=(20+1)^\circ

\angle EFH=21^\circ

Therefore, the measure of ∠EFH is 21°.

8 0
3 years ago
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