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KatRina [158]
3 years ago
5

Joel bought 8 books. Some books cost $13 each and some cost $17 each. In all, he spent $128. Which system of linear equations re

presents the given situation?
Mathematics
1 answer:
Phantasy [73]3 years ago
4 0
If there are x $13 each books and y $17 each books, then we can build the following equations:
x + y = 8    (or y = 8 - x)
13x + 17y = 128   (or y = 128/17 - 13x/17)
:)
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Prove that the figure is a parallelogram. If so, classify the parallelogram. Be specific and justify your answer.
sesenic [268]

Answer:

Step-by-step explanation:

If it is a parallelogram the opposite sides will a have the same slope.

Using the diagram  we see from the coordinates of A and B:

Slope of AB = (5 - -1)/(-1 - -5)

= 6/4

= 3/2.

In the same way

slope of CD = (2 - -4) / (1 - -3)

= 3/2.

So AB and  CD can be shown to be parallel.

Similarly the lines BC and AD are parallel.

So the figure is a parallelogram

Finding the perimeter (counting the units between the points):

Perimeter = 2AB + 2BC

By Pythagoras:

AB =   sqrt (6^2 + 4^2) = sqrt 52

BC = sqrt (3^2 + 2^2) = sqrt 13

So Perimeter = 2sqrt52 + 2sqrt13

= 4sqrt13 + 2 sqrt13

= 6sqrt13

or 21.63 unit^2 to 2 decimal places.

Area = sqrt52 * perpendicular distance between the lines AB and CD.

8 0
3 years ago
Find the direction angle of 3i+1j.<br><br> Please help me. Thank you
Alekssandra [29.7K]

Answer:

Correct answer:  ∝ = 18.43°

Step-by-step explanation:

Given coordinates represent one vector in x-y plane, let be v.

v = 3i +1j = xi + yj => x = 3 and y = 1

The angle that this vector builds with the positive direction to the x axis will be found using the tangent.

∝ = tan⁻¹ y/x = tan⁻¹ 1/3 = tan⁻¹ 0.333 = 18.43°

∝ = 18.43°

God is with you!!!

4 0
3 years ago
How to find slope within two sets of points
EastWind [94]

The slope within two sets of points is calculated using the slope equation m = \frac{y_2 -y_1}{x_2 -x_1}

<h3>What is slope?</h3>

The slope of a line or points is the rate of change of the line.

This in other words means that, the vertical change per unit horizontal change

Assume that the points are given as:

(x1, y1) and (x2, y2)

The slope (m) of the points is:

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

Hence, the equation of two sets of points is m = \frac{y_2 -y_1}{x_2 -x_1}

Read more about slopes at:

brainly.com/question/1884491

#SPJ1

3 0
2 years ago
How can you write 23/3 as a mixed number?
Illusion [34]
23/3 = 7 2/3 <======
3 0
2 years ago
A boat travels 115 km in 3 hours. How far can it travel in 9 hours?
rodikova [14]

Answer:

345 km

Step-by-step explanation:

9 divided by 3 = 3

115 x 3 = 345

8 0
2 years ago
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