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2 years ago

Write an absolute value inequality for the graph below.use x for your variable.

Mathematics

1 answer:

Alenkasestr [34]2 years ago

7 0

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.

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Given a right triangle with legs a, b and hypotenuse c, solve for a if b= 20 and c= 29

pantera1 [17]

Answer:

C) 21

Step-by-step explanation:

a² + 20² = 29² Use Pythagorean Theorem to solve for a

a² + 400 = 841 Solve for the exponents

- 400 - 400 Subtract 400 from both sides

a² = 441 Take the square root of both sides

a = 21

8 0

2 years ago

Read 2 more answers

Please help me with this

Ivan

800/560
10/7

Your answer is 1 3/7 pounds per dollar

hope it helps

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2 years ago

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions

Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

$\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}$

The quadratic equation can now be solve using factorization method:

$\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}$

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

$\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\ \\ Width=x=5\text{ }ft \end{gathered}$

7 0

8 months ago

Determine whether the relation is a function. Explain why or why not.

Vitek1552 [10]

This relation is a function. This is because no x value is repeated, so it passes the vertical line test.

Here is an example of where a relation is NOT a function:

{(2, 5), (3, –5), (2, 5), (5, –5)}

Hope this helps!

3 0

2 years ago

A linear function is graphed below.

Evgen [1.6K]

Answer:

$-1\frac{1}{2}$

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

$\frac{y^2-y^1}{x^2-x^1}}$

To understand what the variables are, you can take this :

$(x^1,y^1)$

$(x^2,y^2)$

Substitute the points :

$(-1,4)$

$(5,-5)$

Now substitute it into the formula :

$\frac{-5-4}{5-(-1)}$

$\frac{-3}{2}$

$-1\frac{1}{2}$

4 0

3 years ago

Read 2 more answers

Write an absolute value inequality for the graph below.use x for your variable.​

Write an absolute value inequality for the graph below.use x for your variable.