All categories

3 years ago

Find the equation (in terms of x) of the line through the points (-2,-5) and (2,3)

Mathematics

1 answer:

shtirl [24]3 years ago

8 0

(3+5)/(2+2) = 8/4 = 2
Y = 2x + b
3 = 2(2) + b, b = -1
Equation: y = 2x - 1

You might be interested in

Ken has already baked 4 pies and he can bake 1 pie with each additional cup of sugar he buys. With 31 additional cups of sugar,

Bumek [7]

Answer: 35 pies

Step-by-step explanation:

Ken can bake 1 pie with each additional cup of sugar he buys. 1 pie =1 cup

4 + x = y

Where;

x= additional pies

y= total pies

If 1 cup= 1 pie; then 31 cups =

31 cup × 1 pie/1 cup = x

:. x= 31 pies

y= x + 4

y= 31+4 = 35

6 0

3 years ago

A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeter

maksim [4K]

Answer:

25%.

Step-by-step explanation:

Let E be the event that the dart lands inside the triangle.

We have been given that a rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters.

We know that probability of an event represents the chance that an event will happen.

$\text{Probability}=\frac{\text{Favorable no. of events}}{\text{Total number of possible outcomes}}$

$\text{Probability that dart lands inside the triangle}=\frac{\text{Area of triangle}}{\text{Area of rectangle}}$

$\text{Probability that dart lands inside the triangle}=\frac{162}{648}$

$\text{Probability that dart lands inside the triangle}=0.25$

Convert into percentage:

$0.25\times 100\%=25\%$

Therefore, the probability that dart lands inside the triangle is 25%.

7 0

3 years ago

Read 2 more answers

What is the volume of a sphere with a radius of 4 cm? Use 3. 14 for pi. Round to the nearest hundredth. 50. 24 cm³ 66. 99 cm³ 20

Nimfa-mama [501]

The volume of the sphere is 267. 95 cm³.

<h2>Given </h2>

The radius of the sphere is 4cm.

<h3>What is the volume of sphere?</h3>

The volume of a sphere is the three-dimensional space occupied by a sphere.

The volume of the sphere is determined by the following formula;

$\rm Volume = \dfrac{4}{3} \pi r^3$

Where r is the radius of the sphere.

Substitute all the values in the formula;

$\rm Volume = \dfrac{4}{3} \pi r^3\\\\\rm Volume = \dfrac{4}{3} \times (3.14) \times 4^3\\\\Volume = 4 \times 1.04 \times 64\\\\Volume = 267.95\ cm ^3$