What is the equation of the line that passes through the points (−2, 1) and (1, 10)?

Which of the following correctly names a side of the triangle below?

slamgirl [31]

Answer:

C. $\frac{}{AB}$

Step-by-step explanation:

You can solve this in two ways, firstly by eliminating all the wrong answers, and secondly by just knowing that the horizontal line in $_$ $\frac{}{AB}$ means that we are talking about a line.

This is how we solve this question by using the eliminating process.

(A. ∠C) is not the right answer because the ∠ sign lets us know that this answer represents an angle, not a line

(B. B) is not the right answer because it represent a point, not a line (in math we use a singular capital letter to represent points)

(D. ΔABC) is not the right answer because the Δ sign lets us know that the answer represents a triangle, not a line.

Therefore, the only option left is C. $\frac{}{AB}$

4 0

2 years ago

What is the mean absolute deviation for the set of data below? 2, 8, 10, 16

Evgesh-ka [11]

Solution: We are given below data:

$2, 8, 10, 16$

Now to find the mean deviation, we use the below formula:

$MD= \frac{\sum|X-\bar{X}|}{N}$

Where:

$\sum,$ represents the summation

X, represents the observation.

$\bar{X},$ represents the mean

N represents the number of observation.

$\bar{X}= \frac{\sum{X}}{N}= \frac{2+8+10+16}{4}=9$

$\sum |X-\bar{X}| = |2-9| + |8-9| +|10-9| +|16-9|=7+1+1+7=16$

Therefore, the mean deviation is:

$MD= \frac{16}{4}$

= 4

5 0

3 years ago

Read 2 more answers

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co

Umnica [9.8K]

Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

$Minimum\ Area = 135cm^2$

$Maximum\ Area = 155cm^2$

$\pi = 3.14$

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

$Area = \pi r^2$

Where

$r = radius$

$a.\ r = 6cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (6cm)^2$

$Area = 3.14 * 36cm^2$

$Area = 114.04cm^2$

$b.\ r = 7cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (7cm)^2$

$Area = 3.14 * 49cm^2$

$Area = 153.86cm^2$

$c.\ r = 8cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (8cm)^2$

$Area = 3.14 * 64cm^2$

$Area = 200.96cm^2$

$d.\ r = 9cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (9cm)^2$

$Area = 3.14 * 81cm^2$

$Area = 254.34cm^2$

From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2

6 0

2 years ago

Read 2 more answers

Help pls due soon!!!!!

S_A_V [24]

Each of the squares is 1 so that’s 37 plus 8 half’s which is 4 so 37 + 4 = 41

4 0

3 years ago

Read 2 more answers

The volume of a sphere can be found using the formula V = πr . If the sphere has a diameter of 10x y z mm, what is the volume of

viva [34]

Answer:

500πx³y³z³

Step-by-step explanation:

Volume of a sphere = 4πr³

r is the radius of the sphere

Given

Diameter of the sphere = 10xyz mm

Radius = diameter/2

Radius = 10xyz/2

Radius = 5xyz

Substitute the radius into the formula

Volume of the sphere = 4π(5xyz)³

Volume of the sphere = = 4π(125)x³y³z³

Volume of the sphere = 500πx³y³z³

Hence the volume of the sphere is 500πx³y³z³ mm³

8 0

2 years ago