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3 years ago

Write an expression that is equivalent to 3/5 (3y + 15). A. y + 9 B. y + 9 C.y + 15 D. y + 15

1 answer:

5 0

<span>Write an expression that is equivalent to 3/5 (3y + 15). A. y + 9 B. y + 9 C.y + 15 D. y + 15

</span> $\dfrac{3}{5}( 3y+15) = \dfrac{3*3y}{5}+ \dfrac{3*15}{5}= \dfrac{9}{5}y+ \dfrac{45}{5}= \boxed{\dfrac{9}{5}y+9}$ <span>
</span>

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An automobile travels past the farmhouse at a speed of v = 45 km/h. How fast is the distance between the automobile and the farm

yulyashka [42]

Answer:

$\frac{ds}{dt} = 39.586 km/h$

Step-by-step explanation:

let distance between farmhouse and road is 2 km

From diagram given

p is the distance between road and past the intersection of highway

By using Pythagoras theorem

$s^2 = 2^2 +p^2$

differentiate wrt t

we get

$\frac{d}{dt} s^2 = \frac{d}{dt} (4 + p^2)$

$2s \frac{ds}{dt} =2p \frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{s}\frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{\sqrt{p^2 +4}} \frac{dp}{dt}$

putting p = 3.7 km

$\frac{ds}{dt} = \frac{3.7}{\sqrt{3.7^2 +4}} 45$

$\frac{ds}{dt} = 39.586 km/h$

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3 years ago

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Step-by-step explanation:

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2 years ago

Find the slope of (-2,1),(2,-2)

Volgvan

Answer:

-3/4 is the slope.

Step-by-step explanation:

Use this formula to find slope.

y2-y1/x2-x1

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3 years ago

Read 2 more answers

Solve. State the number of solutions.

Oksi-84 [34.3K]

Answer:

a. x=8

b.Step 1: Simplify both sides of the equation.

2(2x−2)=4x−4

(2)(2x)+(2)(−2)=4x+−4(Distribute)

4x+−4=4x+−4

4x−4=4x−4

Step 2: Subtract 4x from both sides.

4x−4−4x=4x−4−4x

−4=−4

Step 3: Add 4 to both sides.

−4+4=−4+4

0=0

Answer:

All real numbers are solutions.

c. Step 1: Simplify both sides of the equation.

3(x+1)=4x+7−x

(3)(x)+(3)(1)=4x+7+−x(Distribute)

3x+3=4x+7+−x

3x+3=(4x+−x)+(7)(Combine Like Terms)

3x+3=3x+7

Step 2: Subtract 3x from both sides.

3x+3−3x=3x+7−3x

3=7

Step 3: Subtract 3 from both sides.

3−3=7−3

0=4

all credit goes to mathpapa

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2 years ago

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gulaghasi [49]

There is no y so I wouldn’t be able to answer

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