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uranmaximum [27]
4 years ago
8

Analyze relationships: The area of the shaded triangle is 5x^2 + 3x - 4. What is the area of the entire figure?​

Mathematics
1 answer:
blagie [28]4 years ago
4 0

well, we know the shaded region has an area of 5x²+3x-4, there are three more sections of equal shape, so their areas must also be equal, meaning there are four regions of the same area of 5x²+3x-4, thus 4(5x²+3x-4) = 20x²+12x-16.

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Does this look right?
guajiro [1.7K]

Answer:

yeah

Step-by-step explanation:

its basically looks good, if your teacher gives a bad grade than idk, but looks about right :)

6 0
3 years ago
Solve the differential. This was in the 2016 VCE Specialist Maths Paper 1 and i'm a bit stuck
Nimfa-mama [501]
\sqrt{2 - x^{2}} \cdot \frac{dy}{dx} = \frac{1}{2 - y}
\frac{dy}{dx} = \frac{1}{(2 - y)\sqrt{2 - x^{2}}}

Now, isolate the variables, so you can integrate.
(2 - y)dy = \frac{dx}{\sqrt{2 - x^{2}}}
\int (2 - y)\,dy = \int\frac{dx}{\sqrt{2 - x^{2}}}
2y - \frac{y^{2}}{2} = sin^{-1}\frac{x}{\sqrt{2}} + \frac{1}{2}C


4y - y^{2} = 2sin^{-1}\frac{x}{\sqrt{2}} + C
y^{2} - 4y = -2sin^{-1}\frac{x}{\sqrt{2}} - C
(y - 2)^{2} - 4 = -2sin^{-1}\frac{x}{\sqrt{2}} - C
(y - 2)^{2} = 4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C


y - 2 = \pm\sqrt{4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C}
y = 2 \pm\sqrt{4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C}

At x = 1, y = 0.
0 = 2 \pm\sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}
-2 = \pm\sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}

4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C > 0
\therefore 2 = \sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}


4 = 4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C
0 = -2sin^{-1}\frac{1}{\sqrt{2}} - C
C = -2sin^{-1}\frac{1}{\sqrt{2}} = -2\frac{\pi}{4}
C = -\frac{\pi}{2}

\therefore y = 2 - \sqrt{4 + \frac{\pi}{2} - 2sin^{-1}\frac{x}{\sqrt{2}}}
6 0
4 years ago
E=mc²<br>solve for m <br>McGraw-Hill algebra 2 book page 23 question 45<br>thanks in advance ​
Brums [2.3K]

Answer:

m = E/c²

Step-by-step explanation:

E = mc²

mc² = E

Divide both sides by c².

m = E/c²

3 0
1 year ago
Can I have help on this ​
Alekssandra [29.7K]

Answer:

5.5

Step-by-step explanation:

22/4=5.5

can you please mark me as brainliest? thanks!

hope this helps!

5 0
3 years ago
What is 7/8 divided by 2/8
allsm [11]

Answer:

3.5

Step-by-step explanation:

5 0
3 years ago
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