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ycow [4]
3 years ago
8

Write the equation (in point slope form) for the line that is perpendicular to the line

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

y - 6 =  - 34(x + 3)

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What is the distance between these points C(-4,1) and D(1,1)
Maslowich

Answer:

5

Step-by-step explanation:

Use the distance formula

d=\sqrt{(1+4)^{2}+(1-1)^{2}  }

d=\sqrt{5^{2}+0^{2}  }

d=\sqrt{25+0} \\d=\sqrt{25} \\d=5

Hope this helps!

8 0
4 years ago
Find all solutions to the equation:
crimeas [40]

Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5

That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n

The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.

Note: The variable n can be any integer.

7 0
3 years ago
An artist needs to purchase jars of paint. The table shows Which quantity container is the better buy?
frutty [35]

Answer:8-oz jar

First, we have to find out what is the unit rate of the 2-oz jar. $1.50÷2 is $.75.

Second, we have to find the unit rate of the 4-oz jar. $2.92÷4=$73.

Third, we have to find the unit rate of the 8-oz jar. $5.68=$.71.

Fourth, we have to find the unit rate of the 16-oz jar. The division for this one may be tricky. From dividing $11.62 by 16, is stopped at the 3rd number I got from dividing. I got $.726. This is not a value of cents and the value can't go in the thousandths place. So, I rounded .726. I got $.73. So $11.62÷16=$.73.

Lastly, you have to compare the amounts.

The lowest amount or better buy, is $.71 or 8-oz jar.

8 0
3 years ago
Read 2 more answers
Can someone please please help me :/ I have to get this right. please help​
Vladimir [108]
<h3>Answer: Choice B. f(x) = 100 - 68x</h3>

Work Shown:

Solve for y. Then replace y with f(x).

680x + 10y - 1000 = 0\\\\10y - 1000 = -680x\\\\10y = -680x + 1000\\\\y = \frac{-680x + 1000}{10}\\\\y = \frac{-680x}{10} + \frac{1000}{10}\\\\y = -68x + 100\\\\y = 100 - 68x\\\\f(x) = 100 - 68x\\\\

Effectively this involves adding 1000 to both sides and subtracting 680x from both sides, afterward we divide both sides by 10 to isolate y.

4 0
3 years ago
Read 2 more answers
Calculate how much simpler<br> √-2x+3 please
Bogdan [553]
-1 is your answer, if that is what you want...

6 0
3 years ago
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