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Airida [17]
3 years ago
10

What is the solution of the equation x − 8 = 24 ?16183234

Mathematics
1 answer:
nevsk [136]3 years ago
3 0
The answer for this question is x=32
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ladessa [460]

Answer:

d. -19, -3.7, -3/4, 6.05

Step-by-step explanation:

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7 0
2 years ago
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What is the equation of the line that passes through the point 4, -6 and has a slope of -3
zheka24 [161]
Y = mx + b. Use this equation for most linear functions. Enter the information that is given to you.
- 6 =  - 3(4) + b
Multiply the -3 and 4 to get 12.
-6 =  - 12 + b
Now divide the -12 from both sides.
\frac{ - 6}{ - 12}  =   \frac{ - 12}{ - 12}  + b
-12 cancels out on the right side and your left with
- \frac {1}{2}  = b
Now re-enter the info back into the formula.
y =  - 3x  -  \frac{1}{2}
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4 0
3 years ago
Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.
suter [353]

Answer:

\theta = 30^\circ, 330^\circ

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

Step-by-step explanation:

Given [Missing from the question]

Equation:

cos\theta = \frac{\sqrt 3}{2}

Interval:

0 \le \theta \le 360

0 \le \theta \le 2\pi

Required

Determine the values of \theta

The given expression:

cos\theta = \frac{\sqrt 3}{2}

... shows that the value of \theta is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

cos\theta = \frac{\sqrt 3}{2}

Take arccos of both sides

\theta = cos^{-1}(\frac{\sqrt 3}{2})

\theta = 30 --- In the first quadrant

In the fourth quadrant, the value is:

\theta = 360 -30

\theta = 330

So, the values of \theta in degrees are:

\theta = 30^\circ, 330^\circ

Convert to radians (Multiply both angles by \pi/180)

So, we have:

\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}

\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}

\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

8 0
3 years ago
If the sales tax rate is 8%, what is the tax on a $5.75 cent purchase?
lora16 [44]

Answer:

$0.46

Step-by-step explanation:

Price= $5.75

Sales tax= 8%

8/100 because we're looking for 8% from 100%

Multiply

5.75*0.08

3 0
2 years ago
The line plot shows how long you read during each reading session last week. What is the total time you read during these sessio
expeople1 [14]

Answer: a) 15 1/2 hours

Step-by-step explanation :

1/2 ×2=1. 1×4=4 1 1/2 ×1= 1 1/2 2×2=4. 2 1/2 ×2= 5

Add all answers and you have 15 1/2 hours.

6 0
3 years ago
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