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Bingel [31]
3 years ago
5

Find the slope of the line that passes through (-66, -21) and (-67, 20)

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0
The straight line is given by the equation
y=kx+b
We substitute coordinates of points 
-21=-66k+b (1)
2=-67k+b (2)
We give a system of equations
Solution of this system:
(1) b=66k-21
(2) 20=-67k+66k-21
20=-k-21
k=-21-20
k=-41
b=-41*66-21=-2727
y=-41x-2727

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2 years ago
Samantha has 4 1/2 gallons of lemonade for her daughter’s birthday party. Each gallon of lemonade contains 1.5 grams of fat. How
Lubov Fominskaja [6]

Answer:

6.75 grams

Step-by-step explanation:

Total amount of lemonade with Samantha =  4 1/2 gallons

         = (4*2 + 1)/2 gallons = 9/2 gallons = 4.5 gallons

Amount of fat in 1 gallon of lemonade = 1.5 grams

To find amount of fat in 4.5 gallons lemonade

we multiply both side of equation with 4.5

Amount of fat in 1*4.5 gallon of lemonade = 1.5*4.5  grams = 6.75 grams

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there is  6.75 grams of fat in  all the lemonade Samantha has for the party

3 0
3 years ago
Recall the equation for a circle with center ( h , k ) (h,k) and radius r r. At what point in the first quadrant does the line w
garri49 [273]
Equation of this circle is
x^2 + (y - 2)^2 = 36
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x^2 + (2.5x + 2 - 2)^2 = 36

x^2 + 6.25x^2 = 36

x^2 = 36 / 7.25  

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7 0
3 years ago
Jack made 50% more smoothies than yesterday. If he made 30 smoothie today how many did he make yesterday?
Anastasy [175]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
what is the hight of a cylinder with a volume of 384tt cubic inches and a radius of 8 inches? round to the nearest tenth of an i
skelet666 [1.2K]

Answer:

1.9 inches

Step-by-step explanation:

We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,

→ π × r² × h = 384

⇒ Substitute in 8 for 'r'

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⇒ Simplify

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⇒ Divide both sides by 64 to isolate π and h

→ π × h = 6

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→ h = 1.9098593171

The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches

5 0
3 years ago
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