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3 years ago

Please help! I will mark brainliest!

Mathematics

1 answer:

Nesterboy [21]3 years ago

8 0

Answer:

please mark brainlist

Step-by-step explanation:

length is 10 , 15 , 20 , 25

width is 3 , 9 , 12 , 15

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Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur

Schach [20]

X: earn per hour during the week
y: earn per hour during the weekend

13x + 14y = 250.90
15x + 8y = 204.70

Multiply the first equation by 4 and the second equation by 7

52x + 56y = 1003.6
105x + 56y = 1432.90

Subtract the first equation from the second:

53x = 429.30

x = 429.30/ 53
x = 8.10

Solve any of the equation for y:

15x + 8y = 204.70

y = [204.70 - 15(8.10)]/8 = 10.40

y - x = 10.40 -8.10 = 2.30

Answer: she earns $2.30 per hour more during the weekend than during the week.

8 0

3 years ago

Read 2 more answers

Explain the following terms: positive slope, negative slope, x-intercept, y-intercept << Read Less

garik1379 [7]

Hello there!

A positive slope is represented in a linear equation by a positive coefficient behind the x term. A positive slope means that the graph is on an increasing interval as x approaches +∞. In a more simple way, a positive slope means that the graph is going up from left to right.

A negative slope is represented in a linear equation by a negative coefficient behind the x term. A negative slope means that the graph is on a decreasing interval as x approaches +∞. In a more simple way, a negative slope means that the graph is going down from left to right.

The x intercept(s) of a graph are where the graph touches the x-axis. These are also known as the zero(s) OR solution(s) of the function.

The y intercept(s) of a graph are where the graph touches the y-axis.

I hope this helps!
Best wishes:)

7 0

3 years ago

Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 4 units, b = 5 units, and c = 9

taurus [48]

From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.

Using pythagoras theorem,
$\tan M= \frac{a}{b-x} \\ \\ M=\tan^{-1}\left(\frac{a}{b-x}\right)$
and
$\tan N= \frac{c}{x} \\ \\ N=\tan^{-1}\left(\frac{c}{x}\right)$

Angle θ is given by
$\theta=180-M-N \\ \\ =180-\tan^{-1}\left(\frac{a}{b-x}\right)-\tan^{-1}\left(\frac{c}{x}\right)$

Given that a = 4 units, b = 5 units, and c = 9 units, thus
$\theta=180-\tan^{-1}\left(\frac{4}{5-x}\right)-\tan^{-1}\left(\frac{9}{x}\right)$

To maximixe angle θ, the differentiation of θ with respect to x must be equal to zero.
i.e.
$\frac{d\theta}{dx} = -\frac{4}{x^2-10x+41} + \frac{9}{x^2+81} =0 \\ \\ -4(x^2+81)+9(x^2-10x+41)=0 \\ \\ -4x^2-324+9x^2-90x+369=0 \\ \\ 5x^2-90x+45=0 \\ \\ x^2-18x+9=0 \\ \\ x=9\pm6 \sqrt{2}$

Given that x is a point on line segment AB, this means that x is a positive number less than 5.

Thus
$x=9-6 \sqrt{2}=0.5147$

Therefore, The distance from A of point P, so that angle θ is maximum is 0.51 to two decimal places.

6 0

4 years ago

Please solve -1/3e+1=-7

serious [3.7K]

Answer:

E=-24

Step-by-step explanation:

3 0

3 years ago

Find the Difference. 3x + 5 - (2x + 2) How do I do this step by step?

Anna11 [10]

Answer: The correct answer is x+3

Step-by-step explanation: To find the answer you must first remove the parentheses then you combine the like terms and that how you get your answer.

5 0

3 years ago

Read 2 more answers

Please help! I will mark brainliest!​

Please help! I will mark brainliest!