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3 years ago

Find the area of the polygon 2cm 2cm 3cm in square centimeters

Mathematics

1 answer:

Kipish [7]3 years ago

6 0

Answer:

12sq cm

Step-by-step explanation:

For Area, we do lenth x width x height. Here, the lenth and the width is 2, so we do 2x2 which is 4. Next the height is 3 so we do 4x3 which is 12. There is your answer. Hope it helps!

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Which values of m and b will create a system of equations with no solution? Select two options. y = mx + b y = –2x + A system of

Nuetrik [128]

Answer:

m = -2 and b = -1/3

m = -2 and b = -2/3.

Step-by-step explanation:

y = -2x - 1/3

y = -2x - 2/3

This system has no solutions because y cannot be 2 different values at once.

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3 years ago

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Which of the following equations matches the function shown above?

Ksenya-84 [330]

So, the function is obviously shifted up by 1 so it rules out A and B, and we also see that the period is 4pi rather than 2pi, and using the fact that:

$\frac{2\pi}{b}=4\pi \implies \frac{b}{2\pi}=\frac{1}{4\pi}\implies b=\frac{1}{2}$

Now that we know our b value, we see that the correct answer would be C.

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2 years ago

Brand Number of Packets Cost

Sveta_85 [38]

Answer:

B) Brand 2

Step-by-step explanation:

Brand 1: $10.68 ÷ 12 = 0.89

Brand 2: $9.44 ÷ 16 = 0.59

Brand 3: $15.30 ÷ 18 = 0.85

Brand 4: $21.84 ÷ 24 = 0.91

Brand 5: $20.40 ÷ 30 = 0.68

Least cost per packet is of Brand 2

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3 years ago

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If 2y=x³ + 2x², find dy/dx when x=2.

scZoUnD [109]

Answer:

Step-by-step explanation:

$\boxed{\textsf{If }y=x^n,\: \textsf{then }\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}}$

<u>Given equation</u>:

$2y=x^3+2x^2$

Isolate y by dividing both sides by 2:

$\implies y=\dfrac{1}{2}x^3+x^2$

Differentiate with respect to x:

$\implies \dfrac{\text{d}y}{\text{d}x}=3 \cdot \dfrac{1}{2}x^{3-1}+2 \cdot x^{2-1}$

$\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{3}{2}x^2+2x$

Finally, substitute x = 2 into the differentiated equation:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =\dfrac{3}{2}(2)^2+2(2)\\\\ & = \dfrac{3}{2}(4)+4\\\\ & = \dfrac{12}{2}+4\\\\ & = 6+4\\\\ & = 10\end{aligned}$