2 years ago

If f(x) = 3x – 2 and g(x) = x2 + 1, find f [g(-3)] and g[1–3)].

Mathematics

1 answer:

Stolb23 [73]2 years ago

5 0

I think the answer is D

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Step-by-step explanation:

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nirvana33 [79]

Answer:

Circumference = 69.14cm
Area = 380.29cm²

Step-by-step explanation:

Circumference.

Circumference of a circle is calculated by the formula:

= Pie * diameter

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= 22/7 * 22

= 69.14 cm

Area

Area of circle:

= Pie * radius ²

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2 years ago

Three vertices of parallelogram WZXY are W(-5, 2), X(2, 4) and Z(-7, -3). Find the coordinated of the vertex, Y.

Dominik [7]

Answer:

$Y = (4,9)$

Step-by-step explanation:

Given

$W(x_1,y_1) = (-5, 2)$

$Z(x_4,y_4) = (-7, -3)$

$X(x_2,y_2) = (2, 4)$

Required

Find Y

To do this, we make use of the mid-point formula

i.e.

$M = \frac{1}{2}(x_n+x_m,y_n+y_m})$

WX and ZY are the diagonals of the parallelogram.

The mid-point of WX is:

$M = \frac{1}{2}(-5+2,2+4)$

$M = \frac{1}{2}(-3,6)$

The mid-point of ZY is:

$M = \frac{1}{2}(-7+x,-3+y)$

Equate both values of M

$\frac{1}{2}(-3,6) = \frac{1}{2}(-7+x,-3+y)$

Multiply both sides by 2

$(-3,6) = (-7+x,-3+y)$

By comparison:

$-7 + x = -3$

$-3 + y = 6$

$-7 + x = -3$

$x = 7 -3$

$x = 4$

$-3 + y = 6$

$y = 6 +3$

$y = 9$

Hence:

$Y = (4,9)$

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2 years ago