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2 years ago

Solve the system by substitution. y = 3x y = -4x – 49

Mathematics

1 answer:

Alex787 [66]2 years ago

6 0

Answer:

Step-by-step explanation:

Substitute 3x into y=-4x-49

y=−4x−49

3x=−4x−49

3x+4x=−4x−49+4x(Add 4x to both sides)

7x/7=−49/7

(Divide both sides by 7)

x=−7

Step: Substitute−7forxiny=3x:

y=3x

y=(3)(−7)

y=−21(Simplify both sides of the equation)

Answer:

x=−7 and y=−21

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Find m Can you please provide a step by step

Fofino [41]

Answer:

∠ KLM = 27°

Step-by-step explanation:

∠ KLM + ∠ NLM = 90 , that is

3x + 7x = 90

10x = 90 ( divide both sides by 10 )

x = 9

Thus

∠ KLM = 3x = 3 × 9 = 27°

6 0

2 years ago

Solve 1/5 (x+3)=−(2x+3)

Rasek [7]

Answer:

Step-by-step explanation:

just simplify the LHS first.

You can either multiply 1/5 by (x+3) and then solve

multiply both sides by 5 to get rid of 1/5 on LHS

I will multiply by 5

(x+3)= -10x-15 ( 5*1/5(x+3)= -5(2x+3)

now rearrange the equation

x+3=-10x-15

-10x-15-x-3=0

-11x-17=0

-11x=17

x= -17/11

4 0

2 years ago

A particle moves on a straight line and has acceleration a(t)=24t+2. Its position at time t=0 is s(0)=3 and its velocity at time

user100 [1]

Answer:

It's position at time t = 5 is 593.

Step-by-step explanation:

The velocity v(t) is the integral of the acceleration a(t)

The position s(t) is the integral of the velocity v(t)

We have that:

The acceleration is:

$a(t) = 24t + 2$

Velocity:

$v(t) = \int {a(t)} \, dt = \int {24t + 2} \, dt = 12t^{2} + 2t + K$

K is the initial velocity, that is v(0). Since V(0) = 13, K = 13

Then

$v(t) = 12t^{2} + 2t + 13$

Position:

$s(t) = \int {s(t)} \, dt = \int {12t^{2} + 2t + 13} \, dt = 4t^{3} + t^{2} + 13t + K$

Since s(0) = 3

$s(t) = 4t^{3} + t^{2} + 13t + 3$

What is its position at time t=5?

This is s(5).

$s(t) = 4t^{3} + t^{2} + 13t + 3$

$s(5) = 4*5^{3} + 5^{2} + 13*5 + 3$

$s(5) = 593$

It's position at time t = 5 is 593.

3 0

2 years ago

Find the slope of -1:9 0:5 1:1, -4/1 -1/4 1/4 4/1

IRISSAK [1]

Answer:

1/4

Step-by-step explanation:

A P E X

4 0

2 years ago

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Crank

Answer:

0.13m

Step-by-step explanation:

1m = 100cm

0.13m = 13cm

3 0

1 year ago

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