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tresset_1 [31]
3 years ago
8

The area of a trapezoid is 1400 cm and the bases measure 20 cm and 50 cm, find the height.

Mathematics
1 answer:
arlik [135]3 years ago
4 0
Using the formulaA=a+b2hSolving forhh=2Aa+b=2·1400 20+50=40cm
You might be interested in
State the domain and range of both the function and the inverse function. f(x) = 8 x + 8 f -1(x) = Domain of f(x): Range of f(x)
Katena32 [7]

Answer:

f^{-1}(x) = \frac{x+8}{8}

Domain of f(x): All real values.

Range of f(x): All real values.

Domain of f -1(x): All real values.

Range of f -1(x): All real values

Step-by-step explanation:

We are given the following function:

f(x) = 8x + 8

Since it is a line, we have that both the domain is the range is the real set.

Inverse function:

The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.

Finding the inverse function:

Exchange x and y in the original function, and isolate y. So

Original

y = 8x + 8

Exchanging:

x = 8y - 8

Isolating y:

8y = x + 8

y = \frac{x+8}{8}

f^{-1}(x) = \frac{x+8}{8}

5 0
3 years ago
(a) By inspection, find a particular solution of y'' + 2y = 14. yp(x) = (b) By inspection, find a particular solution of y'' + 2
SOVA2 [1]

Answer:

(a) The particular solution, y_p is 7

(b) y_p is -4x

(c) y_p is -4x + 7

(d) y_p is 8x + (7/2)

Step-by-step explanation:

To find a particular solution to a differential equation by inspection - is to assume a trial function that looks like the nonhomogeneous part of the differential equation.

(a) Given y'' + 2y = 14.

Because the nonhomogeneus part of the differential equation, 14 is a constant, our trial function will be a constant too.

Let A be our trial function:

We need our trial differential equation y''_p + 2y_p = 14

Now, we differentiate y_p = A twice, to obtain y'_p and y''_p that will be substituted into the differential equation.

y'_p = 0

y''_p = 0

Substitution into the trial differential equation, we have.

0 + 2A = 14

A = 6/2 = 7

Therefore, the particular solution, y_p = A is 7

(b) y'' + 2y = −8x

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x

2Ax + 2B = -8x

By inspection,

2B = 0 => B = 0

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x

(c) y'' + 2y = −8x + 14

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x + 14

2Ax + 2B = -8x + 14

By inspection,

2B = 14 => B = 14/2 = 7

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x + 7

(d) Find a particular solution of y'' + 2y = 16x + 7

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = 16x + 7

2Ax + 2B = 16x + 7

By inspection,

2B = 7 => B = 7/2

2A = 16 => A = 16/2 = 8

The particular solution y_p = Ax + B

is 8x + (7/2)

8 0
3 years ago
Question 10: Find the lateral area of the figure below, in square meters.
Vanyuwa [196]

Answer: 5g5

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Please help!!
lyudmila [28]
3(-12)-17= 3 times -12 is -36
-36-17= -53
8 0
2 years ago
Read 2 more answers
Convert into slope-intercept form<br><br> x+y=6
puteri [66]
<h3>Answer:   y = -x + 6</h3>

To get this answer, you subtract x from both sides to go from x+y = 6 to y = 6-x which rearranges to y = -x+6

Note that y = -x+6 is the same as y = -1x+6

We can compare this to y = mx+b form to see that m = -1 is the slope and b = 6 is the y intercept.

4 0
3 years ago
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