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Mariana [72]
3 years ago
10

Write an equation of the line that passes through the given points.

Mathematics
1 answer:
garik1379 [7]3 years ago
8 0

Answer:

y=-2x+1

Step-by-step explanation:

to find the slope use the formula (y2-y1)/(x2-x1)

-5-3= -8

3-(-1) = 4

-8/4 = -2

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2. A painting is sold for $1,400, and its value
Alla [95]

Answer:

$11,480

Step-by-step explanation:

1,400 x 0.9 = 1,260

1,260 x 8 = 10,080

1,400 + 10,080 = 11,480

7 0
3 years ago
Judy is pulling on a trunk with a 12-N force. Ike pulls at right angles to Judy. With how much force must Ike pull to make the r
Ratling [72]
To understand the problem, let's first draw a free body diagram of the forces exerted by Judy and Ike on the truck. (Refer to the left side of the attachment).

To solve for the resultant, we just use the tip-to-tail method. This is illustrated on the right side of the attachment.

We can see that the tip-to-tail method forms a right triangle thus we can just apply the Pythagorean theorem in solving for Ike's force.

20^{2} = 12^{2} + F^{2}
400 = 144 + F^{2}
256 = F^{2}
F = 16.0

ANSWER: Ike must pull the truck with a force of 16.0 N.

8 0
3 years ago
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5900 and his st
Ghella [55]

Answer:

Step-by-step explanation:

Final Answer: 19.5%

4 0
2 years ago
Write y=1/6x+7 in standard form using integers
Law Incorporation [45]

The standard form using integers of the equation is 6y - x = 42

<h3>How to determine the standard form</h3>

Note that solving in standard form means writing it as a simple equation

Given y = 1/6x + 7

Find the LCM of the right side, we have

y = \frac{x + 42}{6}

Cross multiply

6 × y = x + 42

6y = x + 42

Make the variables move to the left side

6y - x = 42

Thus, the standard form using integers of the equation is 6y - x = 42

Learn more about algebraic expressions here:

brainly.com/question/723406

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8 0
2 years ago
Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required
xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

                A = Pe^{rt}

Where

A is the Amount

P is the Principal

r is the rate

t is the time

(a) For the amount to double, A = 2 × P

               A = 2 × $3000

               A = $6000

               6000 = 3000e^{0.085t}

               \frac{6000}{3000} = e^{0.085t}

               2 = e^{0.085t}

Take log_{e} of both sides

               log_{e}2 = log_{e}e^{0.085t}

But log_{e}e = 1

            ∴ ln2 = 0.085t

               t = \frac{ln2}{0.085}

               t = \frac{0.693}{0.085}

               t = 8.15

(b) For the amount to double, A = 3 × P

               A = 3 × $3000

               A = $9000

               9000 = 3000e^{0.085t}

               \frac{9000}{3000} = e^{0.085t}

               3 = e^{0.085t}

Take log_{e} of both sides

               log_{e}3 = log_{e}e^{0.085t}

But log_{e}e = 1

            ∴ ln3 = 0.085t

               t = \frac{ln3}{0.085}

               t = \frac{1.0986}{0.085}

               t = 12.92

5 0
3 years ago
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