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2 years ago

What is the slope of the line that passes through the points (1, -8) and (-5, 10)?

Mathematics

1 answer:

Akimi4 [234]2 years ago

3 0

You have two points A ( X;Y) and B ( X ; Y)

slope is : ( Yb -Ya) / (Xb -Xa )

A (1; -8) B ( -5 ; 10)

so : ' (10 - -8 ) / ( -5 - 1) = 18 /-6 = -3

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Y=-8x-4 for what value of x is y equal too -16

boyakko [2]

Answer: X=1.5

Step-by-step explanation:

The equation when y is -16

-16=-8x-4

-12=-8x

12/8 is 1.5

8 0

2 years ago

Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition

vovikov84 [41]

Answer:

(a) Set of rational numbers

(b) $\pi + (-\pi) = 0$

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

$a -b = c$

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

$1 - 2 = -1$

$5 - 5 = 0$

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

$4 - 2 = 2$

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

$a -b = c$

Where

a, b, c are of the same set.

In the given options (a) to (d), only

$\pi + (-\pi) = 0$ is not close under addition because:

$\pi$ is irrational while $0$ is rational

<em>In other words, they belong to different set</em>

8 0

2 years ago

What is 6(m + 4) =_m +_

Zielflug [23.3K]

Answer:

6m+24

Step-by-step explanation:

basically you multiply m and 4 by six soooo

6 times m is 6x

6 times 4 is 24

soo

6m+24 is correct

can i have rainliest pleaseee:)b

5 0

2 years ago

What is the volume, in cubic cm, of a cylinder with a height of 8cm and a base radius of 7cm, to the nearest tenths place?

FromTheMoon [43]

Answer:

Volume of the cylinder = $1230.88\,cm^3$

Step-by-step explanation:

Height(h) of the cylinder = $8 cm$

Radius(r) of the base= $7cm$

Volume of a cylinder is:

= $\pi \times r^2\times h$

As,

$\pi =\dfrac{22}{7} = 3.14$

Putting the values in the formula:

Volume is:

$=3.14\times(7\times7)\times8\\\\=3.14\times49\times8\\\\=3.14\times392\\\\=1230.88\,cm^3$

The volume of the cylinder is : $1230.88\,cm^3$

7 0

2 years ago

$1000 is invested at 2.9% annual interest for 6 months.<br> a. Simple Interest b. Compound Interest

kirza4 [7]

Answer:

a. Simple interest = $174

b. Compund interest = $1187.1

Step-by-step explanation:

Given the following data;

Principal, P = $1000

Interest, R = 2.9%

Time, T = 6 months

a. To find the simple interest;

S.I = (PRT)/100

S.I = (1000*2.9*6)/100

S.I = 17400/100

S.I = $174

b. To find the compound interest;

$A = P(1 + \frac{r}{100})^{t}$

Substituting into the formula, we have;

$A = 1000(1 + \frac{2.9}{100})^{6}$

$A = 1000(1 + 0.029)^{6}$

$A = 1000(1.029)^{6}$

$A = 1000(1.1871)$

A = $1187.1

8 0

2 years ago