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Naya [18.7K]
3 years ago
7

Which statement about the polynomial function g(x) is true?

Mathematics
1 answer:
kakasveta [241]3 years ago
6 0

Answer:

C) If the leading coefficient of g(x) is 1, all rational roots of g(x) = 0 must be integers.

Step-by-step explanation:

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Label the vertices and state the Pythagorean Theorem for the following right triangle. Find x.
Ganezh [65]

Answer:

Pythagorean Theorem Statement is below.

Therefore the value of x is 9 m.

Step-by-step explanation:

Given:

Label the vertices as A , B , C shown in figure below such that

∠A = 90°

AC = Longer leg = 12 m

AB = Shorter leg = x

BC = Hypotenuse = 15 m

To Find:

x = ?

Solution:

Pythagorean Theorem :

Pythagorean Theorem States that "the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides".

Which can be Written as

(\textrm{Hypotenuse})^{2} = (\textrm{One Side})^{2}+(\textrm{Other Side})^{2}

OR

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

i.e (BC)^{2}=(AB)^{2}+(AC)^{2}

Substituting the values AB ,AC, BC we get

(15)^{2}=(x)^{2}+(12)^{2}\\(x)^{2}=225-144=81\\(x)^{2}=81\\Square\ Rooting\\x=\sqrt{81}=9\\x=9\ m

Therefore the value of x is 9 m.

4 0
3 years ago
What is the measure of Angle y in this figure?
uranmaximum [27]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Here, in the given figure. Angle y° forms vertical opposite angle pair with Angle 163°, therefore they have equal values.

that means ~

\qquad \sf  \dashrightarrow \: y \degree = 163 \degree

3 0
2 years ago
Jina's dance recital started at 4:46 PM. It ended at 6:13 PM. How long did the recital last?
Tamiku [17]

Answer:

Jina's recital lasted 2 hours and 7 minutes

Hope that helped

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Simplify the expression 4x3 2x3
Fittoniya [83]

Answer:

onc

Step-by-step explanation:

3 0
2 years ago
156 divided by 12 equals?
Sergeu [11.5K]
156/12 = 12 * 13/12 = 13 :D
3 0
3 years ago
Read 2 more answers
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