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lbvjy [14]
3 years ago
5

Rationalize the denominator. – 5x4 ✓4x +7

Mathematics
2 answers:
pychu [463]3 years ago
6 0
<h2>Answer:        <u>  (-5x⁴)(√(4x + 7))  </u></h2><h2>                                4x + 7</h2>

<h3>Step-by-step explanation:</h3>

The question is asking us to make the denominator a rational function by finding a way to remove the square root without changing the value of the overall function.

We can do this by multiplying the denominator and numerator by the √(4x + 7), since multiplying a root term by that root term = the number being rooted  (√x × √x = x).

<u>    - 5x⁴      </u>   ×     <u>  √(4x + 7)   </u>  =  <u>  (-5x⁴)(√(4x + 7))  </u>

√(4x + 7)              √(4x + 7)                 4x + 7

I am Lyosha [343]3 years ago
3 0

Answer:

Step-by-step explanation:

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7 0
3 years ago
Given: AE ≅ CE ; DE ≅ BE Prove: ABCD is a parallelogram. Parallelogram A B C D is shown. Diagonals are drawn from point A to poi
nikklg [1K]

Answer:

The proof is below

Step-by-step explanation:

Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of a parallelogram bisect each other.

In ΔACD and ΔBEC

AD=BC              (∵Opposite sides of a parallelogram are equal)

∠DAC=∠BCE       (∵Alternate angles)

∠ADC=∠CBE        (∵Alternate angles)

By ASA rule, ΔACD≅ΔBEC

By CPCT(Corresponding Parts of Congruent triangles)

AE=EC and DE=EB

Hence, AE is conruent to CE and BE is congruent to DE

6 0
3 years ago
The perimeter of the triangular park shown on the right is 15x-6. What is the missing​ length?
swat32

Answer:

missing side: 9x -3

Explanation:

length + width + height = perimeter

4x + 1 + 2x - 4 + height = 15x - 6

6x - 3 + height = 15x - 6

height  =  15x - 6 - 6x + 3

height = 9x -3

7 0
2 years ago
the hotel that the Hutchinson family is staying at on the vacation is shaped like a rectangle prism it is 234 feet long 158 feet
Andreyy89
1367964

all you do is length times width times height

so 234×158×37
5 0
4 years ago
What percent of 88 is 2
pychu [463]

Answer:

6

Step-by-step explanation:

7 0
3 years ago
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