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Masteriza [31]
3 years ago
7

Does 4(x+1)=2x+4 have a solution

Mathematics
1 answer:
dmitriy555 [2]3 years ago
3 0

Answer: Yes, x = 0

Step-by-step explanation:

To solve for x, we will simplify things by distributing the 4 to the (x + 1) term. This means that our new equation will be

4x + 4 = 2x + 4

Now that we have our new equation, we will isolate x by subtracting 4 from both sides. After this, we will end up with

4x = 2x

At first glance, this may seem like no solution. What number has the same value when multiplied by 2 and by 4? Well, there infact is one. This can be shown when we subtract both sides by 2x to keep x on one side, and get

2x = 0

Divide by both sides to isolate x, and you get x = 0/2 = 0.

Thus, x = 0.

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A ball is thrown with an initial speed of 17 mph in a direction that makes an angle of 22 degrees with the positive x-axis. Expr
Agata [3.3K]

Answer:

The speed of the ball in terms of i and j is (15.76 i, 6.37 j)

Step-by-step explanation:

Given;

velocity of the ball, v = 17 mph

angle of inclination, θ = 22⁰

The horizontal component of the velocity is calculated as;

V_x = Vcos\theta\\\\V_x = 17cos(22)\\\\V_x = 15.76 \ i

The vertical component of the velocity is calculated as;

V_y = Vsin\theta\\\\V_y = 17sin(22)\\\\V_y = 6.37 \ j

Therefore, the speed of the ball in terms of i and j is (15.76 i, 6.37 j)

7 0
3 years ago
A toy rocket is shot vertically into the air from a launching pad 9 feet above the ground with an initial velocity of 168 feet p
hammer [34]
Y(initial) = 9
V(initial) = 168
V(final) = 0
g(accel-grav) = 32 (in feet per second
squared)
Use the following equation:
V(final) = V(initial) + a(t)
Since this object is moving straight up and
down, a = -32
Enter the knowns into the equation
0 = 168 - 32t
32t = 168
t = 168/9.8
t = 5.25

Now that you know the time it takes to
reach it's maximum, use the general
kinematics equation to solve for final
distance:

y(final) = y(initial) + V(initial)(t) + (1/2)a
(t²)

y(final) = 9 + 168(5.25) + (1/2)(-32)
(5.25²)

= 9 + 882 - 441

= 450 feet
5 0
3 years ago
Read 2 more answers
What is the answer for x? <br><br> X+3=5​
svlad2 [7]

Answer: X = 2

Step-by-step explanation: To find the value of "X" in this equation, we first need to subtract 3 from both sides.

Image provided.

3 0
4 years ago
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Which equation correctly shows how to determine the distance between the points (9, –2) and (6, 3) on a coordinate grid?
nalin [4]

Answer:

The formula for calculate the distance (d) between two points is: Given the points (9,-12) and (6,3), you can identify: Substitute these coordinates into the formula to find the equation that correctly shows how to determine the distance between the given points (9,-12) and (6,3)

Step-by-step explanation:

4 0
3 years ago
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How much Work is used when 25N of force is done over 100m?​
murzikaleks [220]

Step-by-step explanation:

we know that

Work =f*d

=25*100

=2500Joule

therefore work done is 2500Joule

4 0
3 years ago
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