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True [87]
4 years ago
5

Please help me with this question!!!!!! PLEASE.

Mathematics
2 answers:
DerKrebs [107]4 years ago
8 0

Answer:

B. -9, 7

Step-by-step explanation:

For the rational expression to be undefined the denominator has to equal 0.

x² + 2x - 63 = 0

Factor left side.

(x - 7)(x + 9) = 0

Set factors equal to 0.

x - 7 = 0

x = 7

x + 9 = 0

x = -9

x = -9 or x = 7

baherus [9]4 years ago
7 0

Answer:

B

Step-by-step explanation:

A rational expression is undefined when the denominator of the expression equals 0 (this is because anything over 0 is undefined). In other words, to find the values for which the given expression is undefined, we simply have to find the zeros of the denominator. We can ignore the numerator. Thus, let:

0=x^2+2x-63

This is now a quadratic. Solve for the quadratic. I will factor but you can do whatever you like (complete the square, quadratic formula, etc.).

We notice that two factors that multiply to -63 and also add to +2 is 9 and -7. Thus:

0=(x+9)(x-7)

x+9=0 ; x=-9

x-7=0; x=7

The zeros are -9 and 7.

The denominator will equal 0 at these values, and the expression will be undefined.

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3 years ago
In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.
pogonyaev

We have been given that in ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. We are asked to find the measure of ∠T to the nearest degree.

First of all, we will draw a right triangle using our given information.

We can see that US is opposite to angle T and ST is hypotenuse of right triangle.

We know that sine relates opposite side of right triangle to hypotenuse.

\sin=\frac{\text{Opposite}}{\text{Hypotenuse}}

\sin(\angle T)=\frac{US}{ST}

\sin(\angle T)=\frac{4}{9.7}

Now we will use arcsin to solve for measure of angle T as:

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Upon rounding to nearest degree, we will get:

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