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Mandarinka [93]
3 years ago
11

Graph the systems of equations to find the solution.

Mathematics
1 answer:
frutty [35]3 years ago
7 0
The solution is (8,-9).
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Find the area of the following shape. You must show all work to receive credit. (10 points) Figure ABCDEF is shown.
andrey2020 [161]

Answer:

53

Step-by-step explanation:

1) Take the area of the rectangle from origin to Point B. We see that it is 8 * 11 = 88 units of area

2) We subtract all the triangles in the rectangle that are not covered by the shape.

So

  • Triangle FAPoint(0,-8) area = 1/2 * 2 * 5 = 5
  • Triangle FEPoint(0,-3) area = 1/2 * 3 * 4 = 6
  • Rectangle P(0,0) P(0,-3) P(6,-3) P(6,0) area = 6 * 3 = 18
  • Triangle DP(6,0)P(11,0) area = 1/2 * 5 * 3 = 7.5

Take the area of the big imaginary rectangle and subtract the area of all the smaller triangles and the smaller rectangle

88 - 5 - 6 - 7.5 - 18 = 51.5

Done!

5 0
3 years ago
Read 2 more answers
What is he slope and y intercept for the line Y=-4x+2​
Sav [38]

y=mx+b

slope is also m

b is the y-intercept

Y=-4x+2​

answer:

slope=-4, y-intercept=2

7 0
3 years ago
Help please, hurry​
Lady bird [3.3K]
The answer would be B
8 0
3 years ago
What sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum​
Zina [86]

Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:

A=P\left(1+\dfrac{r}{100}\right)^t

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting A=8700,r=24,t=3, we get

8700=P\left(1+\dfrac{24}{100}\right)^{3}

8700=P\left(1+0.24\right)^{3}

8700=P\left(1.24\right)^{3}

8700=1.906624P

Divide both sides by 1.906624.

\dfrac{8700}{1.906624}=P

4563.0391729=P

P\approx 4563.04

Therefore, the principal value is about 4563.04.

8 0
3 years ago
What is the condition that causes an infinite geometric series to have no sum? Explain why
miv72 [106K]
This only happens when the ordinary ratio is greater than one, the terms of the sequence will get bigger and bigger, and if you add larger numbers you won't get a definitive answer.
4 0
2 years ago
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