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Greeley [361]
3 years ago
13

A triangle has vertices X(2, 1), Y(5, 4), and Z(5, 1). What is the area of the triangle?

Mathematics
1 answer:
pochemuha3 years ago
3 0

Answer:

Step-by-step explanation:

They gave you an easy triangle. You can tell by the coordinates that X and Z are horizontally aligned, and Y and Z are vertically aligned, so Z is a right angle.

Area = 0.5(XZ)(YZ) = 0.5(3)(3) = 4.5 square units.

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6 0
4 years ago
Help please i don’t know how to do it
Norma-Jean [14]

Answer:

Step-by-step explanation:

\frac{dy}{dx}=x^{2}(y-1)\\\frac{1}{y-1} \text{ } dy=x^{2} \text{ } dx\\\int \frac{1}{y-1} \text{ } dy=\int x^{2} \text{ } dx\\\ln|y-1|=\frac{x^{3}}{3}+C\\

From the initial condition,

\ln|3-1|=\frac{0^{3}}{3}+C\\\ln 2=C

So we have that \ln |y-1|=\frac{x^{3}}{3}+\ln 2\\e^{\frac{x^{3}}{3}+\ln 2}=y-1\\2e^{\frac{x^{3}}{3}}=y-1\\y=2e^{\frac{x^{3}}{3}}+1

4 0
3 years ago
Maggie's brother is 4 years younger than four times her age. The sum of their ages is 26.
Gelneren [198K]

Answer:

Maggie is 6 years old

Step-by-step explanation:

M + B = 26

B = 26 - M

4M - 4 = B

4M - 4 = 26 - M

5M = 30

M = 6

Maggie is 6 years old

3 0
4 years ago
Determine the average rate of change<br> between x=-1 and x=1.
Olegator [25]

Answer:

2

Step-by-step explanation:

5 0
3 years ago
1) A bag contains six red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without retur
Elena-2011 [213]

Answer:

You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.

Step-by-step explanation:

6 - 2 = 4

The 8 would stay the same

There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)

Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.

5 0
3 years ago
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