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Otrada [13]
3 years ago
7

Please help me 20 points

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0
90 degrees counterclockwise
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Write an equation of the line that passes through (5,9) and is perpendicular to the line y=-1/3x+1
777dan777 [17]
Perpendicular = opposite sign and reciprocal slope
Slope would be 3
Y = 3x + b, plug in point
9 = 3(5) + b, b = -6
Solution: y = 3x - 6
7 0
2 years ago
Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equ
Paladinen [302]

Step-by-step explanation:

Right, okay, so this is a bit of a weird one. Let's go step by step.

"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.

"Their total bill was $27.60" = so is the number 27.6

"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6

"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.

"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).

To put it all into a full equation...

10 - ( 27.6 / 6 )

Divide.

10 - 4.6

Subtract.

5.4

Put back into money form.

$5.40

Answer:

Each person will get back $5.40.

7 0
2 years ago
Read 2 more answers
When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabol
amid [387]
<span>First rewrite y - 2x<span> 2</span> = 8 x + 5 as</span> 

y = 2x<span> 2</span><span> + 8 x + 5 </span>

Complete square and determine vertex. 

y = 2(x<span> 2</span><span> + 4x + 4) - 8 + 5 </span>

= 2(x + 2)<span> 2</span><span> - 3 </span>

<span>vertex at (- 2 , - 3) </span>

If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up . 

<span>vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)</span>
4 0
2 years ago
Read 2 more answers
a normally distributed data set has a mean of 35 and a standard deviation of 2.5 what z-score corresponds to a data value of 32
Oksanka [162]
z=\dfrac{32-35}{2.5}=-1.2
7 0
3 years ago
In the formula that gives the circumference of a circle, which quantity is multiplied by 21 ?
zloy xaker [14]

Answer:

Radius

Step-by-step explanation:

5 0
3 years ago
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