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Zigmanuir [339]
3 years ago
7

Which is answer if not know please solve for mw

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0
<h3>Answers:</h3><h3>Area of parallelogram = 63</h3><h3>Area of triangle = 34</h3><h3>Area of trapezoid = 84</h3><h3>The trapezoid has the largest area</h3>

==================================================

Work Shown:

area of parallelogram = base*height

area of parallelogram = 9*7

area of parallelogram = 63

----------

area of triangle = (1/2)*base*height

area of triangle = (1/2)*10*6.8

area of triangle = 34

----------

area of trapezoid = height*(base1+base2)/2

area of trapezoid = 6*(13+15)/2

area of trapezoid = 6*(28)/2

area of trapezoid = 168/2

area of trapezoid = 84

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A line is parallel to x + 2y = -2 and intersects the point (6, 9). What is the equation of this parallel line?​
xenn [34]

Answer:

The equation of the parallel line is: y = -1/2x + 12

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the line

x + 2y = -2

writing into the slope-intercept form

2y = - x - 2

dividing both sides by 2

y=-\frac{1}{2}x-1

comparing with the slope-intercept form y = mx+b

Thus, the slope m of the equation is: m = -1/2

We know that the parallel lines have the same slope.

Thus, the slope of a new line parallel to x + 2y = -2 is also: -1/2

Given that the line intersects the point (6, 9).

so substituting m = -1/2 and (6, 9) in the slope-intercept form to determine the y-intercept

y = mx+b

9 = -1/2(6) + b

9 = -3 + b

b = 9+3

b = 12

Thus, the y-intercept b = 12

now substituting b = 12 and m = -1/2 in the slope-intercept

y = mx+b

y = -1/2x + 12

Therefore, the equation of the parallel line is: y = -1/2x + 12

7 0
3 years ago
At the beach, Malia measured the footprints of the people who passed by. The line plot displays the length of each footprint. Wh
Oduvanchick [21]

Answer:

Step-by-step explanation:jkkkk

4 0
3 years ago
The initial population of a town is 2600, and it grows with a doubling time of 10 years. Determine how long it will take for the
choli [55]

Answer:

It will take the 20 years for the population to quadruple.

Step-by-step explanation:

Exponential population growth:

An exponential model for population growth has the following model:

P(t) = P(0)(1+r)^t

In which P(0) is the initial population and r is the growth rate, as a decimal.

It grows with a doubling time of 10 years.

This means that P(10) = 2P(0). We use this to find r. So

P(t) = P(0)(1+r)^t

2P(0) = P(0)(1+r)^10

(1+r)^10 = 2

\sqrt[10]{(1+r)^10} = \sqrt[10]{2}

1+r = 2^{\frac{1}{10}}

1 + r = 1.0718

So

P(t) = P(0)(1+r)^t

P(t) = P(0)(1.0718)^t

Determine how long it will take for the population to quadruple.

This is t for which P(t) = 4P(0). So

P(t) = P(0)(1.0718)^t

4P(0) = P(0)(1.0718)^t

(1.0718)^t = 4

\log{(1.0718)^t} = \log{4}

t\log{1.0718} = \log{4}

t = \frac{\log{4}}{\log{1.0718}}

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5 0
3 years ago
Jamie has 100 milliliters of a 50% isopropyl alcohol solution. How many milliliters of a 96% isopropyl alcohol solution does she
serious [3.7K]

Answer:

318.2 ml

Step-by-step explanation:

Jamie has 100 ml of a 50% isopropyl alcohol solution.

She wants to prepare a solution of 85% by adding 96% solution of isopropyl alcohol solution.

Let the amount of 96% solution required = x ml

Final amount of 85% isopropyl alcohol solution = (100 + x) ml

Therefore, equation for this situation will be,

100 × (50%) + (x) × (96%) = (100 + x) × (85%)

100(0.5) + 0.96x = 0.85(100 + x)

50 + 0.96x = 85 + 0.85x

0.96x - 0.85x = 85 - 50

0.11x = 35

x = \frac{35}{0.11}

x = 318.18 ml

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Therefore, she will require 318.2 ml of 96% isopropyl alcohol solution.

4 0
3 years ago
Slope of (-7,18), (-15,5)
Ksju [112]

Answer:

The slope is

\frac{13}{ - 8}

Step-by-step explanation:

\frac{18 - 5}{ - 15 - ( - 7)}  \\  \frac{13}{ - 15 + 7}  \\  =  \frac{13}{ - 8}

4 0
2 years ago
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