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3 years ago

6

Use the discriminant to describe the roots of each equation. Then select the best description.16x2 + 8x + 1 = 0double rootreal a

nd rational rootsreal and irrational rootsnon-real roots

1 answer:

SSSSS [86.1K]3 years ago

3 0

Hello!

The discriminant of quadratic functions is: b² - 4ac. Since the equation is in standard form, which is Ax² + Bx + C = 0 , we can substitute those values into our discriminant and simplify.

The value of the discriminant will tell us how many solutions there are to the given quadratic equation.

A positive discriminant will have two real solutions.

A discriminant of zero will have one real solution.

A negative discriminant will no real solutions.

1. Substitute, a = 16, b = 8, c = 1.

8² - 4(16)(1)

64 - 4(16)(1)

64 - 64(1)

64 - 64

0

Since the discriminant is zero, the answer is choice A, double root, because since it is raised to the power of 2, it must has two roots, but in this case, both of the roots the same x-values.

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What is the value of n?

makvit [3.9K]

Answer:

Step-by-step explanation:

5+n+4+7+n+8=360

24+2n=360

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3 years ago

Help on how to do this problem

siniylev [52]

Hello!

We can first find RZ. A midpoint is the point right in the middle of a line segment. It splits the line into two equivalent lengths. If z is the midpoint of RT, it therefore splits RT into two equivalent segments, RZ and ZT. Thus, the length of RZ is equivalent to ZT, therefore, the length of RZ is 150.

Next, find RT. We know that RT is made of RZ and ZT, and we know the side lengths of both - 150 and 150. Therefore, add these two together to get the length of RT. 150 + 150 = 300.

Finally, find x. We know that RZ is equal to 150, and we are given 8x - 10 = RZ. Therefore, we know 8x - 10 = 150. Solve this equation for x by isolating x.

8x - 10 = 150

8x = 160

x = 20

Therefore, x = 20.

Your final answer is choice C: x = 20, RZ = 150, and RT = 300.

Hope this helps!

4 0

4 years ago

Read 2 more answers

Please help asap, brainliest,thanks, and 50 points. Thank you soooo much! <3

Anuta_ua [19.1K]

Answers:

1) $x^{8} y^{8}$

2) $y^{3} \sqrt{y}$

3) $5x^{4} \sqrt{6}$

4) $\sqrt{7}$

5) $\frac{\sqrt{z}}{z}$

Step-by-step explanation:

1) $\sqrt{x^{16} y^{36}}$

Rewriting the expression:

$(x^{16} y^{36})^{\frac{1}{2}}$

Multiplying the exponents:

$x^{\frac{16}{2}} y^{\frac{36}{2}}$

Simplifying:

$x^{8} y^{8}$

2) $\sqrt{y^{7}}$

Rewriting the expression:

$\sqrt{y^{6} y}=(y^{6} y)^{\frac{1}{2}}$

Multiplying the exponents:

$y^{\frac{6}{2}} y^{\frac{1}{2}}$

Simplifying:

$y^{3} y^{\frac{1}{2}}=y^{3} \sqrt{y}$

3) $\sqrt{150 x^{8}}$

Rewriting the expression:

$\sqrt{(6)(25) x^{8}}$

Since $\sqrt{25}=5$ :

$5x^{4}\sqrt{6}$

4) $\frac{7}{\sqrt{7}}$

Multiplying numerator and denominator by $\sqrt{7}$ :

$\frac{7}{\sqrt{7}} (\frac{\sqrt{7}}{\sqrt{7}})=\frac{7}{7\sqrt{7}}$

Simplifying:

$\sqrt{7}$

5) $\frac{5z}{\sqrt{25 z^{3}}}$

Rewriting the expression:

$\frac{5z}{5z \sqrt{z}}$

Simplifying:

$\frac{1}{\sqrt{z}}$

Since we do not want the square root in the denominator, we can multiply numerator and denominator by $\sqrt{z}$ :

$\frac{1}{\sqrt{z}}(\frac{\sqrt{z}}{\sqrt{z}})$

Finally:

$\frac{\sqrt{z}}{z}$

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4 years ago

DUE IN 2 MINUTES PLEASE HELP!!

N76 [4]

Answer:

Angles 7, 6, 3, 2 = 120°

Angles 8, 5, 4, 1 = 60°

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3 years ago

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A fire hydrant sits 75 feet from the base of a 125 foot tall building. Find the angle of elevation from the fire hydrant to the

marishachu [46]

Look at the picture.

I hope this helps!

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4 years ago