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3 years ago

What is 2x=8a+2b; solving for x

Mathematics

1 answer:

Eddi Din [679]3 years ago

7 0

Answer:

Step-by-step explanation:

Flip the equation 1) 8a + 2b = 2x

Subtract 2b from both sides 2)8a + 2b(-2b) =<em> 2x + (-2b)</em>

Divide by 8 on both sides 3) 8a/8 =<em> -2b - 2x/8</em>

4) a = 1/-4b + 1/4x

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Step-by-step explanation:

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2 years ago

What are two ways you can find the surface area of a prism?

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3 years ago

Read 2 more answers

What is the solutions to X2 equals 8

stiv31 [10]

Answer:

x = ±2sqrt(2)

Step-by-step explanation:

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3 years ago

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3 years ago

A hot-air balloon is 140 ft140 ft above the ground when a motorcycle (traveling in a straight line on a horizontal road) pass

luda_lava [24]

Answer:

Step-by-step explanation:

Given

Balloon velocity is 14 ft/s upwards

Distance between balloon and cyclist is 140 ft

Velocity of motor cycle is 88 ft/s

After 10 sec

motorcyclist traveled a distance of $d_c=88\times 10=880 ft$

Distance traveled by balloon in 10 s

$d_b=14\times 10=140 ft$

net height of balloon from ground =140+140=280 ft[/tex]

at $t=10 s$

distance between cyclist and balloon is $z=\sqrt{280^2+880^2}$

$z=923.47 ft$

now suppose at any time t motorcyclist cover a distance of x m and balloon is at a height of h m

thus $z^2=(88t)^2+(14t+140)^2$

differentiating w.r.t time

$\Rightarrow z\frac{\mathrm{d} z}{\mathrm{d} t}=14\cdot \left ( 14t+140\right )+88\cdot \left ( 88t\right )$

$\Rightarrow at\ t=10 s$

$\Rightarrow \frac{\mathrm{d} z}{\mathrm{d} t}=\frac{14\cdot \left ( 14t+140\right )+88\cdot \left ( 88t\right )}{z}$

$\Rightarrow \frac{\mathrm{d} z}{\mathrm{d} t}=\frac{14\times 280+88^2\times 10}{923.471}$

$\Rightarrow \frac{\mathrm{d} z}{\mathrm{d} t}=\frac{81,360}{923.471}=88.102\ ft/s$

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3 years ago