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kotykmax [81]
3 years ago
5

What is one factor of 20x2 + 6x − 8

Mathematics
2 answers:
Furkat [3]3 years ago
8 0
You can factor out a 2 from all. Idk if that helps but here ya go. 10x+3x-4
neonofarm [45]3 years ago
6 0
You can divide a factor of 2 from all terms:
  2(10x² +3x -4)

You can look for factors of 10×(-4) = -40 that add to 3.
  -40 = 40×-1 = 20×-2 = 10×-4 = 8×-5 . . . . . these last ones add to 3

Now, you know the factorization is
  2(10x +8)(10x -5)/10 = 2(5x +4)(2x -1)

One factor of 20x² +6x -8 is any of
  2
  5x +4
  2x -1
or any product of 2 of these.
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Please answer and help me on this question!​
Nady [450]
<h3>Answer: 10.1 cm approximately</h3>

=====================================================

Explanation:

The double tickmarks show that segments DE and EB are the same length.

The diagram shows that DB = 16 cm long

We'll use these facts to find DE

DE+EB = DB

DE+DE = DB

2*DE = DB

DE = DB/2

DE = 16/2

DE = 8

-------------

Now let's focus on triangle DEC. We just found the horizontal leg is 8 units long. The vertical leg is EC which is unknown for now. We'll call it x. The hypotenuse is CD = 9

Use the pythagorean theorem to find x

a^2+b^2 = c^2

8^2+x^2 = 9^2

64+x^2 = 81

x^2 = 81 - 64

x^2 = 17

x = sqrt(17)

That makes EC to be exactly sqrt(17) units long.

If you follow those same steps for triangle ADE, then you'll find the missing length is AE = 6

---------------

So,

AC = AE+EC

AC = 6 + sqrt(17)

AC = 10.1231056256177

AC = 10.1 cm approximately

4 0
2 years ago
-El papá de Susana es carpintero y en su trabajo utiliza clavos y tornillos de distintas medidas. Ahora, le advirtieron que dent
irinina [24]

Answer:

la tabla no esta, asi que busque la pregunta por interenet y encontre lo siguiente:

medida de los clavos         equivalencia en

<u>en pulgadas               </u>         <u>centimetros                  </u>

1 pulgada                                      2.54 cms

¹/₂  pulgada                                   2.54 x 0.5 = 1.27 cms

³/₄  pulgada                                  2.54 x 0.75 = 1.905 cms

¹/₈  pulgada                                  2.54 x 0.125 = 0.3175 cms

3¹/₂  pulgadas                              2.54 x 3.5 = 8.89 cms

7 0
3 years ago
Simplify: (x+4)*(2x+5
s344n2d4d5 [400]

Answer:

2x^2+13x+20 is the simplified answer

7 0
3 years ago
In a triangle find the Remote exterior angle given the remote interior angles are 27 and 53
Varvara68 [4.7K]

Answer:We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

x + y + z = 180

We know this is true, because the sum of the angles inside a triangle is always 180 degrees. What is w? We don't know yet. But, we may observe that the measure of angle w plus the measure of angle z = 180 degrees, because they are a pair of supplementary angles. Notice how Z and W together make a straight line? That's 180 degrees. So, we can make a new equation:

w + z = 180

Then, if we combine the two equations above, we can determine that the measure of angle w = x + y. Here's how to do that:

x + y + z = 180 (this is the first equation)

w + z = 180 (this is the second equation)

Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

x + y + (180 - w) = 180

x + y - w = 0

x + y = w

Interesting. This tells us that the measure of the exterior angle equals the total of the other two interior angles. In fact, there is a theorem called the Exterior Angle Theorem which further explores this relationship:

Exterior Angle Theorem

The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.

Let's try two example problems.

Example A:

If the measure of the exterior angle is (3x - 10) degrees, and the measure of the two remote interior angles are 25 degrees and (x + 15) degrees, find x.

First example of finding an exterior angle

To solve, we use the fact that W = X + Y. Note that here I'm referring to the angles W, X, and Y as shown in the first image of this lesson. Their names are not important. What is important is that an exterior angle equals the sum of the remote interior angles.

6 0
3 years ago
A yo-yo factory has fixed operating costs of $4500 per day plus costs of $1.20 per yo-yo produced. If a yo-yo sells for $4.80, w
Ede4ka [16]
4500 + 1.20x <  4.80x
4500 <  4.80x - 1.20x
4500 <  3.60x
4500/3.60 <   x
1250 <  x.......minimum number would be 1251
5 0
3 years ago
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