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Karolina [17]
3 years ago
10

What is the slope of the line on the graph?

Mathematics
1 answer:
Trava [24]3 years ago
4 0
Remember that the slope of a line never changes, so you can choose whatever 2 points you want and you will always get the same slope. Calculate the rise and run (You can draw it on the graph if it helps). The slope is 2/4, which , of course, you can simplify to ½.
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Nick decided to take 2/5 of the money in his bank account and donate it to a local charity. If nick donated $70 to a local chari
S_A_V [24]

Answer:

<u> The total amount = $175</u>

Step-by-step explanation:

Let the total amount in his bank account = x

Nick decided to take 2/5 of the money in his bank account and donate it to a local charity

So, he donates with \frac{2}{5} x

If nick donated $70 to a local charity

so, \frac{2}{5} x = 70

solve for x

∴ x = 5*70/2 = 350/2 = $175

<u>So, The total amount = $175</u>

3 0
3 years ago
Here’s 50 points, question is in the attachment below!
weqwewe [10]

They want to use the numbers 0-9

Count the number of timers a color shos on the wheel and assign 1 number for each time the color shows:

Blue shows 4 times so you would assign blue the numbers: 0,1,2,and 3

There are 3 yellows so you would assign that 4, 5, and 6

There are 2 reds so , 7 and 8

and 1 green would be 9

Answer is D.

7 0
2 years ago
Read 2 more answers
Help please! I don't get this.​
slava [35]
Try using a photo scanner
8 0
3 years ago
Read 2 more answers
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 <span>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 </span>angle θ is maximum is 0.51 to two decimal places.
6 0
3 years ago
100 EASY POINTS!!! Please include an explanation :)
Nezavi [6.7K]

Answer:

Choice C

Step-by-step explanation:

f: initial value of 200 decreasing at a rate of 4%

g: initial value of 40 increasing at a rate of 8%

f is decreasing so it must go down starting at 200

That eliminates a and d

g is increasing and starts at 40  That eliminates a

We must look at b and c

g is increasing faster than f is decreasing

Choice C

6 0
3 years ago
Read 2 more answers
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