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Salsk061 [2.6K]
3 years ago
8

A line is perpendicular to y = {2/3x + 2/3}

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer: y = (-3x/2) + 1

Step-by-step explanation:

From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.

Hence the equation will be

y = (-3x/2) + c

As this line passes through (-2,4), putting these values in this equation gives  c = 1.

Hence the answer is y = (-3x/2) + 1

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Rounded to the nearest tenth would be 0.8

3 0
3 years ago
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Shelby's Ice Cream Shop sold 8 sundaes with nuts and 4 sundaes without nuts. What is the ratio of the number of sundaes with nut
Romashka-Z-Leto [24]

Answer: 2:1

Step-by-step explanation:

The ratio of A to B is given by :  \dfrac{A}{B} or A : B  .

Given : sundaes with nuts  = 4

sundaes without nuts = 8

The ratio of the number of sundaes with nuts to the number of sundaes without nuts = \dfrac{8}{4}=\dfrac{2}{1}\ \ \ [\text{Divide numerator and denominator by 4 }]

= 2:1

hence, the required ratio = 2:1 .

3 0
3 years ago
The drama club is selling tickets to a play for each ticket they sell the school receives x dollars and the drama club receives
bogdanovich [222]

The drama club receives $7 for each ticket that they sell.

Step-by-step explanation:

Given,

Amount received by school = x dollars

Amount received by school for 96 tickets = 96x

Amount received by drama club = remaining amount after school

Total amount of 96 tickets = 96x+672

Here,

96x is the share of school

672 is the share of drama club for 96 tickets.

Therefore;

96 tickets = dollars

1 ticket = \frac{672}{96}

1 ticket = 7 dollars

The drama club receives $7 for each ticket that they sell.

Keywords: division, addition

Learn more about division at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

6 0
3 years ago
Greg plays baseball at a field where the baseball diamond is a square with each side of the square measuring 90 feet. If the bas
tiny-mole [99]

Answer:

The diagonal of a square with 90 ft. per side is 127.28 which should be rounded down to 127 and the throw from 2nd to 3rd is 90 ft totaling 217 ft

5 0
3 years ago
If the if a cylinder is 7 in tall and has a volume of 63 Pi inches what is the area of the cross section it goes right down the
vitfil [10]

Answer: 9\pi \ in.^2

Step-by-step explanation:

Given

The height of the cylinder is h=7\ in.

The volume of the cylinder is V=63\pi \ in.^3

The volume of the cylinder is the product of area and height

\Rightarrow V=\pi r^2h\\

Insert the values

\Rightarrow 63\pi =A\times 7\\\\\Rightarrow A=\dfrac{63\pi}{7}\\\\\Rightarrow A=9\pi\ in.^2

Thus, the area of the cross-section is 9\pi \ in.^2

7 0
3 years ago
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