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2 years ago

Given the two points (-1, 6) and (3, -2), write an equation in point-slope form.

Mathematics

2 answers:

abruzzese [7]2 years ago

8 0

Answer:

y-6 = -2(x+1)

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

= (-2-6)/(3--1)

= (-2-6)/(3+1)

= -8/4

= -2

Then we can point slope form where

y -y1 = m(x-x1)

where m is the slope and x1,y1 is a point

y-6 = -2(x--1)

y-6 = -2(x+1)

Zinaida [17]2 years ago

8 0

Answer:

y - 6 = -2(x + 1)

Step-by-step explanation:

Slope: (-2-6)/(3--1)

= -8/4

= -2

y - 6 = -2(x - -1)

y - 6 = -2(x + 1)

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OLEGan [10]

The answer is maybe C lol

4 0

3 years ago

Help me answer this question

ad-work [718]

Answer:

128 cubes can fit in.

Step-by-step explanation:

We are given: Volume of rectangular prism = 2 units³ and Cube with edge = 1/4 unit

We must find: The number of cubes that can fill the prism

Firstly, find the volume of 1 cube:

Volume = 1/4 x 1/4 x 1/4

Volume = 1/64 units³

Next find the number of cubes that can go into the prism:

Number of cubes = 2 ÷ 1/64

Number of cubes = 128

Therefore 128 cubes can fit in.

4 0

1 year ago

Read 2 more answers

Select all the correct answers. Select all the Expressions that are equivalent to the polynomial below. (3x-7)(2x+8)

Leno4ka [110]

Answer:

6x ² - 10x - 56

Step-by-step explanation:

(3x -7) (2x +8)

To expand this, each term in the first bracket would multiply the other bracket.

3x(2x +8) -7( 2x + 8)

6x ² + 24x - 14x - 56

6x ² + 10x - 56

I hope this was helpful, Please mark as brainliest²

4 0

3 years ago

Read 2 more answers

An investment services company experienced dramatic growth in the last two decades. The following models for the company's reven

zlopas [31]

Answer: a) 138.32 and b) 35 years approx.

Step-by-step explanation:

Since we have given that

$R(t)=21.4e^{0.13t}\\\\C(t)=18.6e^{0.13t}$

So, Profit is given by

$Profit=R(t)-C(t)\\\\Profit=21.4e^{0.13t}-18.6e^{0.13t}\\\\Profit=e^{0.13t}(21.4-18.6)\\\\Profit=2.8e^{0.13t}$

Difference in years of 1990 and 2020=30

So, Profit becomes :

$P(30)=2.8e^{0.13\times 30}\\\\P(30)=2.8\times 49.40\\\\P(30)=138.32$

(b) How long before the profit found in part (a) is predicted to double? (Round your answer to the nearest whole number.) years after 1990.

So, profit doubles , we get :

$138.32\times 2=2.8e^{0.13t}\\\\276.65=2.8e^{0.13t}\\\\\dfrac{276.65}{2.8}=e^{0.13t}\\\\98.80=e^[0.13t}\\\\\ln 98.80=0.13t\\\\4.593=0.13t\\\\\dfrac{4..593}{0.13}=t\\\\35.33=t$

Hence, a) 138.32 and b) 35 years approx.

6 0

2 years ago

Solve each exponential equation by using properties of common logarithms. When necessary, round answers to the nearest hundredth

lisabon 2012 [21]

Answer:

0.08

Step-by-step explanation:

Please use parentheses to indicate which operations must be done first. I 'm choosing to believe that you meant 7^(3x-1) and 5^(x-1).

Taking the common log of both sides, we get:

(3x-1)log 7 = (x-1)log 5

Then 3x·log 7 - log 7 = x log 5 - log 5

Grouping the x terms:

x(3·log 7 - log 5) = log 7 - log 5. We combine log 7 and log 5, obtaining log (7/5).

Then x(3·log 7 - log 5) = log (7/5).

Solving for x:

log (7/5)

x = ---------------------

3·log 7 - log 5

0.1461

x = ------------- = 0.08

1.0363

This agrees with the 3rd answer choice.

7 0

2 years ago