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ankoles [38]
3 years ago
14

6x + y = -2 y= -3x + 1 Graph the solution

Mathematics
1 answer:
Gala2k [10]3 years ago
6 0
6x + y = -2
y = -3x + 1

Substitute the value of y in first equation, 
6x -3x + 1 = -2
3x = -2-1
x = -3/3
x = -1

Now, Substitute it in 2nd equation, 
y = -3(-1) + 1
y = 3+ 1 = 4

Coordinates would be: (-1,4) Mark that point and join with origin.

Hope this helps!
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Suppose an object is launched from ground level directly upward at 57.4 f/s Write a function to represent the object’s height ov
Semmy [17]

Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Step-by-step explanation:

We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.

Then we can write:

a(t) = -32 ft/s^2

Where the negative sign is because this acceleration is downwards.

Now, to get the vertical velocity of the object, we need to integrate over time to get:

v(t) = (-32 ft/s^2)*t + v0

where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.

In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:

v(t) = (-32 ft/s^2)*t + 57.4 ft/s

To get the position equation we need to integrate over time again, to get:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0

Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.

then the position equation (that is the function that represents the height of the object as a function over time) is:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t

p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

3 0
3 years ago
If 50 percent of Q is 20 percent of P, then P is what percent of Q
ExtremeBDS [4]
Hey how was ur day i hope u find this out
3 0
3 years ago
Jacob's piggy bank has 18 quarters, 20 dimes, 24 nickels, and 43 pennies. He
snow_tiger [21]
The probability is very high because you need less dimes to make a full dollar other than a nickel you need more
7 0
3 years ago
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A cone has a height of 8 yards and a radius of 3 yards. What is its volume?
V125BC [204]
<h3>Given:</h3>
  • h= 8 yd
  • r= 3 yd
<h3>Note that:</h3>
  • h= Height
  • r= Radius
<h3>To find:</h3>

The volume of the given cone.

<h3>Solution:</h3>

\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}

\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}

Let's solve!

Substitute the values according to the formula.

V= \frac{1}{3}×3.14×{3}^{2}×8

\large\boxed{V= 75.36 \: {yd}^{3}}

<u>Therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>cone</u><u> </u><u>is</u><u> </u><u>75.36</u><u> </u><u>cubic</u><u> </u><u>yards</u><u>.</u>

7 0
2 years ago
B+ 1/3(-b+a)<br> How to simplify?
Rus_ich [418]

Answer:

2/3 b +1/3 a

Step-by-step explanation:

b+ 1/3(-b+a)

= b - 1/3b + 1/3a

= 2/3 b +1/3 a

I hope this was helpful, please mark as brainliest

6 0
3 years ago
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