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algol [13]
2 years ago
10

Rewrite the function by completing the square h(x)=4x^2+4x+1

Mathematics
1 answer:
lisov135 [29]2 years ago
8 0

Answer:

h(x) = 4(x+\frac{1}{2})^{2}

Step-by-step explanation:

h(x)=4x^2+4x+1\\h(x)=4(x^2+x+\frac{1}{4}) \\h(x)=4(x^2+x+\frac{1}{4})\\h(x) = 4(x+\frac{1}{2})^{2}

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Complete the explanation of the procedure that can be used to solve 5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55. Then solve the e
Debora [2.8K]

Answer:

x =  2.

Step-by-step explanation:

5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55

5[3x + 12 - 2 + 2x] - x - 15 = 14x + 55

5[5x + 10] - x - 15 = 14x + 55

25x + 50  - x - 15 = 14x + 55     Now we subtract 14x from both sides:

25x + 50  - x - 15  - 14x = 14x - 14x + 55

10x + 50 - 15 = 55 Now we subtract  50, add 15 to both sides:

10x + 50 - 50 - 15 + 15 = 55 - 50 + 15    

10x =  20

x = 2.

8 0
3 years ago
This too!!<br><br><br><br><br> . <br> Please<br><br><br><br><br> .
REY [17]

Answer:

In order to tell if these are congruent triangles we would need to know if angles Y and V were congruent, angles X and W are congruent or if segments XU and WU were congruent.

Step-by-step explanation:

Any of these would work because you can use two different methods to telling that these are congruent triangles.

The first method is called side-angle-side. In it you need two side lengths that are congruent with a congruent angle in the middle. Since we already know that the right angle in the middle is congruent, and we know YU and VU are congruent, we would just need to know the additional side to prove congruence.

The second method is called angle, angle side. In this we need to know that two angles in a row are congruent followed by a side. Since we know the middle angle is the same, knowing either other angles would give us this method as well.

8 0
3 years ago
I do not understand
Vanyuwa [196]

\huge \sf༆ Answer ༄

Here's the solution ~

  • \sf \dfrac{5 {}^{6} }{5 {}^{1} }

  • \sf 5 {}^{6 - 1}

  • \sf {5}^{5}

8 0
2 years ago
What is 11/5 as a decimal
Eduardwww [97]
11/5 as a decimal is 2.2. You have to divide 11 by 5 to convert it into a decimal.
6 0
3 years ago
Read 2 more answers
After excavating a lot, workers removed an estimated 7,000 cubic yards of dirt from the area. If this dirt were spread in an eve
kipiarov [429]
V=7,000\ yd^3\ \ \ and\ \ \ V=30\ yd\ \cdot64\ yd\ \cdot x\\ \\30\cdot64\cdot x=7,000\ /:(30\cdot64)\\ \\x= \frac{7\cdot25\cdot4\cdot10}{3\cdot10\cdot16\cdot4} \\ \\x= \frac{7\cdot25}{3\cdot16} \\ \\x= \frac{175}{48}\ [yd] \ \ \ and\ \ \ 1\ yd=36\ in\\ \\\frac{175}{48}\ yd =\frac{175}{48}\cdot 36\ in= \frac{175\cdot3}{4}\ in=131.25\ in
8 0
3 years ago
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