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3 years ago

Find the slope of the line passing through each of the following pairs of points: A(−7, a) and B(c, d)

Mathematics

1 answer:

Mrrafil [7]3 years ago

3 0

The formula of a slope:

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

We have the points A(-7, a) and B(c, d).

Substitute:

$m=\dfrac{d-a}{c-(-7)}=\dfrac{d-a}{c+7}$

Exception: c ≠ -7.

You might be interested in

In a company 85% of the workers are men if 510 women work for the company how many workers are there in all

tester [92]

Answer:

3400 workers

Step-by-step explanation:

85% of men that means 15% are women

15% = 510

15/100= 510/x

100x510=51000

51000/15 =3400

x=3400

3 0

2 years ago

What is 5/8 divided by 32

Citrus2011 [14]

First you need to convert 32 into a fraction, so just add 1 as the denominator; 5/8 ÷ 32/1. But you can't divide fractions, so multiply by the reciprocal. 5/8 · 1/32. You should get 5/256 as your answer. I hope that helped!

7 0

2 years ago

Can u help me ASAP. i need to know how to do it step by step

12345 [234]

Answer:

Step-by-step explanation:

$f(x) =4x^3-8x^2+ax+b$ has a factor $2x-1$ and

when divided by $x+2$ , remainder is 20.

To find:Remainder when divided by (x-1) ?

Solution:

$2x-1$ is a factor

$2x - 1 = 0 \Rightarrow x = \frac{1}{2}$ when we put this value of x to the function, it will become 0.

i.e.

$\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)$

Remainder is 20 when f(x) is divided by $x+2$

i.e.

$f(-2) =20$

$\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)$

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

$5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}$

By equation (1):

$a+2(18) = 3\\\Rightarrow a = -33$

So, the equation becomes:

$f(x) =4x^3-8x^2-33x+18$

$\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}$

So, when divided by (x-1), remainder will be <em>19</em>.

4 0

2 years ago

Help please less than 19 minutes to turn in

vagabundo [1.1K]

Angle K = angle M

(4x-1)=(2x+27)

4x-2x=27+1

2x=28

x=14

K=4x-1 then 4(14)-1
55 degrees
M=2x+27 then 2(14) +27
55 degrees
K+M+L =180
55+55+L=180
110+L=180
L=70 degrees
Therefore K=55 degrees M=55 degrees L=70 degrees

3 0

3 years ago

1. Based on the information in the table, is the relationship between time

Sphinxa [80]

Answer:

is proportional

Step-by-step explanation:

The ratio between words and minutes is a constant, so the relationship is proportional.

45/1 = 90/2 = 135/3

3 0

2 years ago