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Arte-miy333 [17]
2 years ago
13

PLEASE HELP ASAP

Mathematics
1 answer:
andrew-mc [135]2 years ago
7 0

1) Parallel lines have the same slope, so the answer is 1/2

2) Perpendicular lines have slopes that are negative reciprocals, so the answer is -2

3) The equation of the perpendicular is y = -2x - 6, so a point is (0, -6)

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The decay rate for a radioactive isotope is 9.29.2 percent per year. find the half-life of the isotope. round to the nearest ten
Oxana [17]
Exponential decay is given by the equation

F = P(1 - r)^t

0.5 = 1(1 - 0.092)^t

0.5 = (0.908)^t

log 0.5 = log (0.908)^t

log 0.5 = t * log 0.908

t = (log 0.5)/(log 0.908)

t = 7.18

Answer: 7.2 years
4 0
3 years ago
Solve by using square roots. ​ 6x^2−27=39
Bingel [31]

Answer:

Simplifying

x = 11

Step-by-step explanation:

Simplifying

6x + -27 = 39

Reorder the terms:

-27 + 6x = 39

Solving

-27 + 6x = 39

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '27' to each side of the equation.

-27 + 27 + 6x = 39 + 27

Combine like terms: -27 + 27 = 0

0 + 6x = 39 + 27

6x = 39 + 27

Combine like terms: 39 + 27 = 66

6x = 66

Divide each side by '6'.

x = 11

Simplifying

x = 11

6 0
3 years ago
Complete the point-slope equation of the line through (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (7,4)(7,4)l
vovikov84 [41]

Answer:

y = \frac{1}{5}x +\frac{13}{5}

Step-by-step explanation:

Given

(x_1,y_1) = (2,3)

(x_2,y_2) = (7,4)

Required

Complete the equation y - 4.....

First, we need to determine the slope as follows:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{4 - 3}{7 - 2}

m = \frac{1}{5}

The equation is then calculated as thus:

y - y_1 = m(x - x_1)

This gives:

y - 4 = \frac{1}{5}(x -7)

Open bracket

y - 4 = \frac{1}{5}x -\frac{7}{5}

Add 4 to both sides

y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4

y = \frac{1}{5}x -\frac{7}{5} + 4

y = \frac{1}{5}x +\frac{-7+20}{5}

y = \frac{1}{5}x +\frac{13}{5}

6 0
3 years ago
A board game that normally costs $30 is on sale for 25 percent off. What is the sale price of the game?
Allushta [10]


find the discount

$30 x 0.25 = $7.50 discount of 25% off

subtract the discount  $30 - $7.50 = $22.50


The sale price of the game is $22.50.

4 0
3 years ago
Read 2 more answers
PLEASE HELP ITS DUE TODAY!!
zalisa [80]

Answer:

yes,yes,yes,no :) hope it helps

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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