Explain how to compare two ratios?

Mathematics

1 answer:

djverab [1.8K]3 years ago

3 0

To compare ratios, write them as fractions. The ratios are equal if they are equal when written as fractions.

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1) Find an equation of the line that passes through thr pair of points (-5,-9) and (2,-7).

Yuki888 [10]

1: Assuming this line is linear, the first thing to do is find the slope.
The slope formula is $m=\frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$ , so in this case, it is $m=\frac{ (-7) - (-9) }{ 2 - (-5) }$ , which comes to $\frac{2}{7}$ . Then, use your slope and one of the points given to write the point-slope formula of the linear equation, and then written in standard form:
y= $\frac{2}{7}$ x- $\frac{53}{7}$ .

2. Use the same process as in question 1 to find:
y=-7x+11

8 0

4 years ago

On square PQRS below, if Q is located at (7,0) and R is located at (5,-8) what is the length of SR

jenyasd209 [6]

the length of SR is $2\sqrt{17}$ .

<u>Step-by-step explanation:</u>

Here we have , On square PQRS below, if Q is located at (7,0) and R is located at (5,-8) . We need to find Length of side SR . Let's find out:

We know that , In a square there are 4 sides , and length of every side is same . So side length of SR = side length of QR . Now , Let's find side length of QR .

We know that distance between two points $Q(x_1,y_1),R(x_2,y_2)$ given by :

⇒ $QR = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Two points given are $Q(7,0), R(5,-8)$ :

⇒ $QR = \sqrt{5-7)^2+(-8-0)^2}$

⇒ $QR = \sqrt{(2)^2+(-8)^2}$

⇒ $QR = \sqrt{4+64}$

⇒ $QR = \sqrt{68}$

⇒ $QR = 2\sqrt{17}$

But QR=SR , Therefore , the length of SR is $2\sqrt{17}$ .

8 0

4 years ago

mina [271]

The question is asking how many combinations of two people can be made from a group of ten people.

Using the formula C(10,2) = 10!/(2! x (10 - 2)! = 10!/(2! x 8!) = 45 handshakes.

A simple way to prove this is each person shakes the hand of 9 other people
10 x 9 = 90 but this counts every handshake from the view of both people involved.
The actual number of handshakes is therefore 90 / 2 = 45

4 0

3 years ago

With a ruler, Diamond determines the diameter of a golf ball to be 4.2 centimeters (a radius of 2.1 cm) and the diameter of a pr

Troyanec [42]

Answer:

Diamonds is incorrect, because, the volume of the softball is 8 times the volume of the golf ball

Step-by-step explanation:

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$