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Ede4ka [16]
2 years ago
10

Simplify the following quadratic expressions1) 2x^2 -3x -92) 3x^2 +5x +2​

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
7 0

Answer:

Below in bold.

Step-by-step explanation:

1) 2x^2 -3x -9

 2 * -9 =  -18. We need 2 numbers whose product is -18 and whose sum     is -3. They are -6 and + 3. So:

= 2x^2 - 6x + 3x - 9

= 2x(x - 3) + 3(x - 3)

= (2x + 3)(x - 3)

2) 3x^2 + 5x +2​

Now 3 * 2 = 6   We need to numbers whose product is + 6 and whose  sum is +5.  Theres are + 3 and + 2>

= 3x^2 + 3x + 2x + 2

= 3x(x + 1) + 2(x + 1)

= (3x + 2)(x + 1)

=

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Evaluate 3^2 + (8 - 2) x 4 - 6/3
labwork [276]

3^2 + (8 - 2) x 4 - 6/3

=9 + 24 - 2

=33 - 2

=31

4 0
3 years ago
Read 2 more answers
How to solve this<br><img src="https://tex.z-dn.net/?f=540in%20%3D%20%20%5C%3A%20yd" id="TexFormula1" title="540in = \: yd" alt
Gnom [1K]

Answer:

15 yds

Step-by-step explanation:

12 in = 1ft

3 ft = 1yd

to convert

540 in * 1ft/12 in   * 1yd /3 ft = (540 * 1 * 1)/ (12*3) = 540/36 =15 yds

all the units canceled except for yds

5 0
3 years ago
Read 2 more answers
Can anyone help me with this, I’ll give out brainliest. NO LINKS.
Sliva [168]

Answer:

89.132 inch

Step-by-step explanation:

“this shape is made up of one half-circle attached to a square with side lengths 16 inches. You can use 3.14 as an approximation.”

so, the square has a perimeter of 16 inch, four sides that will be 64 inch

then the half circle rule of perimeter of half circle: πr + 2r

=> perimeter of semicircle = π * 8 +2 * 8 = 41.132 inch

<em>without the bottom line of half circle= 41.132 -16 = 25.133 inch</em>

<em />

So total 25.133 + 64 =89.132 inch

have a great day and nc question

4 0
2 years ago
Rewrite the equation by completing the square.<br> x^2 -4x =0
olasank [31]

Step-by-step explanation:

x² − 4x = 0

To complete the square, take half of the second coefficient, square it, then add the result to both sides.

(-4/2)² = 4

x² − 4x + 4 = 4

(x − 2)² = 4

x − 2 = ±2

x = 2 ± 2

x = 0 or 4

6 0
3 years ago
What is the answer to this question ?
Drupady [299]
If there is a really short way of doing this, I don't see it. The only way I know to do it is to find the third angle of both triangles. 

So for F the third angle for each of the pairs is
left side: 180 - (51 + 30) = 180 - 81 = 99
right side: 180 - (109 + 30) = 180 - 139 = 41
This is not the answer.

G
180 - (92 + 70) = 180 - 162 = 18
180 - (28 + 70) = 180 - 98 = 82
This is not the answer either.

H
180- (58 + 30) = 180 - (88) = 92
180 - (90  + 58) = 180 - 148 = 32
Not at all.

180 - (35 + 82) = 180 - 117 = 63
180 - (82 + 63) = 180 - 145 = 35
This pair has a third angle that is equal to the other triangle's pair. This is your answer.

7 0
4 years ago
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