All categories

3 years ago

Solve: 16x2 − 81 = 0.

1 answer:

5 0

Hi there! First we need to add 81 to both sides. 16x2-81+81=0+81=16x2=81. 16x2/16=81/16. Now we get x²=81/16. Now, we have to take the square root. That would be 2.25 or -2.25 it really doesn't matter which answer it is. Therefore, the answer is x=2.25 or x=-2.25.

You might be interested in

Linda bought $87.95 worth of merchandise at an electronics store. She

forsale [732]

Answer: She paid $66.33

Step-by-step explanation:

The overall amount that you paid for the video game was 87.95. She got 27.79 back as a refund. So you subtract what she paid from her refund. 87.95-27.79 = 60.16. She also had to pay a fine for the video game. So you add the fine to the amount. 60.16+6.17 = 66.33.

Overall, she paid 66.33.

6 0

3 years ago

Read 2 more answers

Solve for 9(p-4)=-18

statuscvo [17]

9(p - 4) = -18

Simplify our equation by multiplying the parenthesis out.

(9 × p) + (9 × -4) = -18

Simplify.

9p + (-36) = -18

Get rid of parenthesis.

9p - 36 = -18

Now, since we're trying to isolate "p," we need to add 36 to both sides.

9p - 36 + 36 = -18 + 36

Simplify.

9p = 18

Divide both sides by 9.

9p ÷ 9 = 18 ÷ 9

Simplify.

p = 2

~Hope I helped! :)~

3 0

4 years ago

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb

Komok [63]

Option 1. The equation that represents the direct variation that exists between a and b is b = –a.

<h3>How to find the direct variation here</h3>

The direct variation is of this form y ∝ x

This gives the equation

y = kx

The constant is k

From our question we have

b ∝ a so b = ka

b = $2\frac{3}{4}$

a = $-2\frac{3}{4}$

Remember that b = ka

$2\frac{3}{4} = -2\frac{3}{4} k$

This would cancel out to

1 = -k

or k = -1

Hence the equation would be written as

b = -a

Read more on direct variation here:

brainly.com/question/9983911

#SPJ1

3 0

2 years ago

If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a

Crank

Answer:

$m_2 = -\frac{3}{4}$ -- (a)

$m_2 = -\frac{7}{3}$ -- (b)

$m_2 = -\frac{1}{4}$ --- (c)

$m_2 = -3$ -- (d)

Step-by-step explanation:

Given

$a.\ m = \frac{4}{3}$

$b.\ m = \frac{3}{7}$

$c.\ m = 4$

$d.\ m = \frac{1}{3}$

Required

Determine the slope of a perpendicular line

In geometry, the condition for perpendicularity is:

$m_2 = -\frac{1}{m}$

This formula will be applied in solving these questions.

$a.\ m = \frac{4}{3}$

$m_2 = -\frac{1}{m}$

Substitute 4/3 for m

$m_2 = -\frac{1}{4/3}$

Express as a proper division

$m_2 = -1/ \frac{4}{3}$

Convert to *

$m_2 = -1* \frac{3}{4}$

$m_2 = -\frac{3}{4}$

$b.\ m = \frac{3}{7}$

$m_2 = -\frac{1}{m}$

Substitute 3/7 for m

$m_2 = -\frac{1}{3/7}$

Express as a proper division

$m_2 = -1/ \frac{3}{7}$

Convert to *

$m_2 = -1* \frac{7}{3}$

$m_2 = -\frac{7}{3}$

$c.\ m = 4$

$m_2 = -\frac{1}{m}$

Substitute 4 for m

$m_2 = -\frac{1}{4}$

$d.\ m = \frac{1}{3}$

$m_2 = -\frac{1}{m}$

Substitute 1/3 for m

$m_2 = -\frac{1}{1/3}$

Express as a proper division

$m_2 = -1/ \frac{1}{3}$

Convert to *

$m_2 = -1* \frac{3}{1}$

$m_2 = -\frac{3}{1}$

$m_2 = -3$

4 0

3 years ago

A corporate team-building event costs $19plus an additional $1 per attendee. How many attendees can there be, at most, if the bu

Mars2501 [29]

Answer:

There can be at most $12$ attendees in a corporate team-building event.

Step-by-step explanation:

Let $x$ denotes number of attendees in a corporate team-building event.

Fixed cost = $19

Cost charged per attendee = $1

Budget for the corporate team-building event = $31

Therefore,

$19+1(x)\leq 31\\19+x\leq 31\\x\leq 31-19\\x\leq 12$

So, there can be at most $12$ attendees in a corporate team-building event.

8 0

3 years ago