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butalik [34]
3 years ago
8

Find the measure of x:

Mathematics
1 answer:
guapka [62]3 years ago
8 0

Answer:

x = 12

Step-by-step explanation:

(6x + 7) = (8x - 17)

Add 17 on both sides

6x + 24 = 8x

Subtract 6x on both sides

24 = 2x

Divide 2 on both sides

12 = x

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The sum of three consecutive even numbers is one hundred sixty-two. what is the smallest of the three numbers?
givi [52]

Answer:

54

Step-by-step explanation:

The numbers are 54, 56 and 58 because 54 + 56 = 110 and 58 + 110 = 168. So lead to 54 being the smallest of the three.

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2 years ago
PLZ HELP!!!!!!! A sequence is defined by the recursive function f(n + 1) = f(n) – 2.
tensa zangetsu [6.8K]

Answer:

f(n + 1) = f(n) - 2 \\ n = 1 -  -  -  - f(1 + 1) =f(1) - 2 \:  \:  \:  -  -   - >   \:  \: f(2) = 10 - 2 = 8 \\ f(2) = 8 \\ n = 2 -  -  -  - f(2 + 1) = f(2) - 2 \:  \:  \:  -  -  -  >  \:  \:  \: f(3) = 8 - 2 = 6 \\ so \: f(3) = 6 \\ and \: we \: are \: done.

3 0
3 years ago
g For the curve parameterized by x(t) = 3 sin t, y(t) = 5 cost, for −π/4 ≤ t ≤ π/2: (a) Sketch the curve and the direction trace
tamaranim1 [39]

Answer:

a) See the file below, b) s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx, c) s \approx 9.715

Step-by-step explanation:

a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.

b) The arc length formula is:

s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx

c) The perimeter of that arc is approximately:

s \approx (\frac{1}{4} + \frac{1}{8})\cdot 2 \pi\cdot \sqrt{\frac{3^{2}+5^{2}}{2} }

s \approx 9.715

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4 years ago
My sister needs help so here I am "helping her" so yeah
pantera1 [17]
1. c
2.d
3.c
hope this helps

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3 years ago
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Step-by-step explanation:jdndj

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