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3 years ago

Find the area. 4 cm 8 cm

Mathematics

1 answer:

kati45 [8]3 years ago

7 0

Answer:

16cm^2

Step-by-step explanation:

8*4=32

Because it is a triangle, divide by 2. So:

32/2=16cm^2

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dangina [55]

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3 years ago

Identify the equation of the parent function y=x^3 that is horizontally streched by a factor of 1/5 and reflected over the y axi

choli [55]

Answer:

$y=\frac{-x^{3}}{125}$

Step-by-step explanation:

As we know that,

<em>'Horizontal stretch, stretches the function left or right on the x-axis'. </em>

The general form of horizontal stretch is given by 'f(kx)', where 0<k<1 is the factor by which function is stretched horizontally.

Since, the function $y=x^{3}$ which is stretched by a factor of $\frac{1}{5}$ .

The new function is $y=(\frac{x}{5})^{3}$ i.e. $y=\frac{x^{3}}{125}$ .

<em>Further, the function is reflected over y-axis.</em>

That is, the reflected function is $y=\frac{(-x)^{3}}{125}$ i.e. $y=\frac{-x^{3}}{125}$ .

Hence, the required function is $y=\frac{-x^{3}}{125}$ .

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3 years ago

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Scorpion4ik [409]

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3 years ago

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Ilia_Sergeevich [38]

Answer:

Then the solution is (4, 6).

Step-by-step explanation:

Let's use the substitution method:

First multiply the second equation by 4, obtaining 4y = -2x + 32.

Now substitute (-2x + 32) for 4y in the first equation:

3x + (-2x + 32) = 36, or

3x - 2x + 32 = 36. or

x = 4.

If x = 4, then the second equation yields y = (-1/2)(4) + 8, or

y = -2 + 8, or y = 6

Then the solution is (4, 6).

Check, using the first equation:

Does 3(4) + 4(6) = 36? Does 12 + 24 = 36? YES

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