All categories

3 years ago

An equation _____ has one solution. always sometimes never

1 answer:

8 0

I think the correct answer from the choices listed above is the second option. An equation sometimes has one solution. A system of equation can have one solution when the equations intersect at one point. Equations can also have two or more number of solutions.

You might be interested in

What is the measure of each interior angle in a regular 18-gon?

s344n2d4d5 [400]

The answer is B) 160
First find exterior angle
360 / 18 = 20
Interior angle = 180 - 20 = 160

6 0

3 years ago

Read 2 more answers

Find the slope of the line (Image attached) A) 5 B) -5 C) 1/5 D) -1/5

Inessa [10]

The slope is 1/5 as [rise/run]

7 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

2 years ago

Which of the following numbers could not possibly be a probability? Justify your answer. 0.123 negative 0.577 0 What must be tr

dusya [7]

Answer:

First question: -0.577 cannot be a probability.

Second question: The number must be between 0 and 1, inclusive (D)

Third question: -0.577 cannot be a probability.

Step-by-step explanation:

A probability is a real number that is in the interval [0, 1]. Therefore, any number outside this range cannot be considered a probability. Under this premise:

First question: -0.577 cannot be a probability.

Second question: The number must be between 0 and 1, inclusive (D)

Third question: -0.577 cannot be a probability.

3 0

3 years ago

A cylinder has a radius of 4 inches and a high of 10.5 inches what is the approximate volume of the cylinder

olga55 [171]

Answer:

V ≈ 527.79

Step-by-step explanation:

Formula is V= πr2h

therefore

V = π * 4 * 2 * 10.5

V = π * 8 * 10.5

V ≈ 527.79

5 0

3 years ago