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2 years ago

O 12 units O 15 units O 20 units O 25 units

Mathematics

1 answer:

nadezda [96]2 years ago

3 0

Answer:

12 units

Step-by-step explanation:

Because the two triangles are similar:

$\dfrac{x}{9}=\dfrac{16}{x} \\\\\\\dfrac{x^2}{9}=16 \\\\\\x^2=144 \\\\\\x=12$

Hope this helps!

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Tricio mokes $9.00 an hour and works 40 hours a week. How much money does she earn in a year

nadezda [96]

Answer:

18,771 $

Step-by-step explanation:

there are 52.1429 weeks in one year with 40 hours of work each week and then 9 dollars made an hour this equals to 18,771 $

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2 years ago

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3 years ago

(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13

jolli1 [7]

Answer:

$y(x)=3e^{5x}-2xe^{5x}$

Step-by-step explanation:

The given differential equation is $y''-10y'+25y=0$

The characteristics equation is given by

$r^2-10r+25=0$

Finding the values of r

$r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5$

We got a repeated roots. Hence, the solution of the differential equation is given by

$y(x)=c_1e^{5x}+c_2xe^{5x}...(i)$

On differentiating, we get

$y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)$

Apply the initial condition y (0)= 3 in equation (i)

$3=c_1e^{0}+0\\\\c_1=3$

Now, apply the initial condition y' (0)= 13 in equation (ii)

$13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2$

Therefore, the solution of the differential equation is

$y(x)=3e^{5x}-2xe^{5x}$

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2 years ago

What is the the y-intercept and x-intercept of the line.<br> 4x - 4y= 36

algol13

Answer:

x-intercept: (9,0)

y-intercept: (0,-9)

Step-by-step explanation:

The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.

1) To find the x-intercept, substitute 0 for y. Then, isolate x.

$4x-4(0)=36\\4x-0=36\\4x = 36\\x = 9$

So, the x-intercept must be (9,0).

2) To find the y-intercept, substitute 0 for x. Then, isolate y.

$4(0)-4y = 36\\0-4y = 36\\-4y = 36\\y = -9$

So, the y-intercept must be (0,-9).

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2 years ago

If UW = 7x-27, find UW

sveticcg [70]

Answer:(_＼ヽ

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　|　|、＼

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　| | ) /

`ノ ) Lﾉ

(_／

Step-by-step explanation: your welcome! Tehehehehe

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2 years ago