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2 years ago

Calculate the distance between the points C=(-7, 7) and M=(-2, 3) in the coordinate plane.

Mathematics

1 answer:

pishuonlain [190]2 years ago

6 0

Answer:

d = Sqrt 41 = 6.4

Step-by-step explanation:

d = sqrt [(x-x)^2 + (y-y)^2]

d = sqrt [(-7 - - 2)^2 + (7-3)^2]

d = sqrt[(-7+2)^2 + (4)^2]

d = sqrt [(-5)^2 + (4)^2]

d= sqrt (25 + 16)

d = sqrt 41 = 6.4

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If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)

juin [17]

Answer:

$y = -\frac{5}{3}x+\frac{2}{3}$

Step-by-step explanation:

Given

$f(-2) = 4$

$f(1) = -1$

Required

The equation of the function

The given parameters means that:

$(x_1,y_1) = (-2,4)$

$(x_2,y_2) = (1,-1)$

Calculate the slope (m)

$m = \frac{y_2 -y_1}{x_2 -x_1}$

$m = \frac{-1-4}{1--2}$

$m = \frac{-5}{3}$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y =\frac{-5}{3}(x--2)+4$

$y =\frac{-5}{3}(x+2)+4$

Open bracket

$y = -\frac{5}{3}x-\frac{10}{3}+4$

Take LCM

$y = -\frac{5}{3}x+\frac{-10+12}{3}$

$y = -\frac{5}{3}x+\frac{2}{3}$

6 0

2 years ago

There are 52 colas and 26 lemon-lime sodas in the cooler. What is the ratio of colas to lemon-lime sodas?

sergejj [24]

Hi there.

If there are 26 lemon-lime sodas and 52 colas, then that means our ratio is going to be 52:26; however, this is not simplified as both of these are even numbers. To simplify, divide both of these numbers by 26.

26 / 26 = 1
52 / 26 = 2

Our new and simplified ratio of colas to lemon-lime sodas is going to be
2:1.

I hope this helps!

5 0

2 years ago

Read 2 more answers

Tereq pays $22.10 for 2.6 pounds of salmon. what is the price per pound of the salmon

astraxan [27]

Answer:

8.5 per pound

Step-by-step explanation:

22.10/2.6=8.5

hope this helps!!

3 0

2 years ago