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olga2289 [7]
2 years ago
13

56:12

Mathematics
1 answer:
Gre4nikov [31]2 years ago
5 0

Answer:

The official answer is {C} ive previously taken the test

Step-by-step explanation:

I have taken the test before hand.

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The perimeter of the triangle is 30 cm.
Paraphin [41]

Answer:

25

Step-by-step explanation:

3a=30... equation 1

2a+2b=30... equation2

equation 2 => a+b=15 ... equation 3

equation 1 => a = 10 ... equation 4

equation 4 & equation 3 => b = 5

5^2 = 25

4 0
3 years ago
Read 2 more answers
5. Alex bought two hots dogs, fries, and a water at the food truck. The hot dogs were
Citrus2011 [14]

Answer:

2.60

Step-by-step explanation:

4.70 hotdogs

fries 1.25

water 2.60= 8.55-10=1.45

4 0
3 years ago
Hi, help with question 18 please. thanks​
Vadim26 [7]

Answer:

See Below.

Step-by-step explanation:

We are given the equation:

\displaystyle y^2 = 1 + \sin x

And we want to prove that:

\displaystyle 2y\frac{d^2y}{dx^2} + 2\left(\frac{dy}{dx}\right) ^2 + y^2 = 1

Find the first derivative by taking the derivative of both sides with respect to <em>x: </em>

<em />\displaystyle 2y \frac{dy}{dx}  = \cos x<em />

Divide both sides by 2<em>y: </em>

<h3><em />\displaystyle \frac{dy}{dx} = \frac{\cos x}{2y}<em /></h3>

<em />

Find the second derivative using the quotient rule:

\displaystyle \begin{aligned} \frac{d^2y}{dx^2} &= \frac{(\cos x)'(2y) - (\cos x)(2y)'}{(2y)^2}\\ \\  &= \frac{-2y\sin x-2\cos x \dfrac{dy}{dx}}{4y^2} \\ \\ &= -\frac{y\sin x + \cos x\left(\dfrac{\cos x}{2y}\right)}{2y^2} \\ \\ &= -\frac{2y^2\sin x+\cos ^2 x}{4y^3}\end{aligned}

Substitute:

\displaystyle 2y\left(-\frac{2y^2\sin x+\cos ^2 x}{4y^3}\right)  + 2\left(\frac{\cos x}{2y}\right)^2 +y^2 = 1

Simplify:

\displaystyle \frac{-2y^2\sin x-\cos ^2x}{2y^2} + \frac{\cos ^2 x}{2y^2} + y^2 = 1

Combine fractions:

\displaystyle \frac{\left(-2y^2\sin x -\cos^2 x\right)+\left(\cos ^2 x\right)}{2y^2} + y^2 = 1

Simplify:

\displaystyle \frac{-2y^2\sin x }{2y^2} + y^2 = 1

Cancel:

\displaystyle -\sin x + y^2 = 1

Substitute:

-\sin x + \left( 1 + \sin x\right) =1

Simplify. Hence:

1\stackrel{\checkmark}{=}1

Q.E.D.

8 0
3 years ago
What is the equation of the graph?<br><br> y = 4x<br> y = 1/4x<br> y = -1/4x<br> y = -4x
Hatshy [7]
Y=1/4x is the correct answer
8 0
3 years ago
What is 9 1/2 - 6 1/2?
LuckyWell [14K]
Remember to change into a top heavy fraction, so 9 1/2 - 6 1/2 = \frac{19}{2} -  \frac{13}{2} , so 19-3 =16; so 16/2 =8
4 0
4 years ago
Read 2 more answers
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