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3 years ago

What is -296 = -8 (8a +5)? With work provided

Mathematics

1 answer:

Feliz [49]3 years ago

5 0

Answer:

a = 4

Step-by-step explanation:

Simplify both sides of the equation.

−296=−8(8a+5)

−296=(−8)(8a)+(−8)(5)

−296=−64a+−40

−296=−64a−40

Flip the equation

−64a−40=−296

Add 40 to both sides

−64a−40+40=−296+40

−64a=−256

Divide both sides by -64

(−64a ) / (−64) = (−256) / (−64)

a = 4

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For which values of c does the following polynomial have two complex roots? X^2+4x+C

Grace [21]

For this case we have that by definition, the discriminant of a quadratic expression is given by:

$d = b ^ 2-4 (a) (c)$

If the discriminant is less than zero then the expression has two different complex roots.

In this case we have the following expression:

$x ^ 2 + 4x + c$

So we have to:

$a = 1\\b = 4\\c = c\\$

The discriminant is given by:

$d = 4 ^ 2-4 (1) (c)\\d = 16-4c$

Then, if we want two complex roots it must be fulfilled that:

$16-4c$

Thus, the expression has two complex roots for all values greater than 4.

ANswer:

$c> 4$

5 0

3 years ago

Triangle ABC is similar to triangle LMN by the AA Similarity Postulate.

chubhunter [2.5K]

Well looking at the information in triangle ABC you know

Angle B + Angle C = 180 - 144

so Angle B + Angle C = 36

since the triangles are similar let angle M = x

then Angle C = 2x and angle B = angle M but the similarity postulate

so form an equation

2x + x = 36

solve for x

Hope it helps

8 0

3 years ago

Read 2 more answers

Find the zeros of f(x) = x^2+5x-6. A. {-2,3} B. {-6,1} c. {-2,-3} D. {-6,-1}

Arisa [49]

Answer:

x^2+5x-6

a = 1 b = 5 and c = -6

Using the quadratic formula:

x = [-5 +- sq root (25 -4 * 1 *-6) ] / 2 * 1

x = [-5 +- sq root (49)] / 2

x = [-5 +- 7] / 2