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ioda
4 years ago
9

Find the point of intersection algebraically for the system of equations. Make sure to write your answer as an ordered pair.

Mathematics
1 answer:
Vsevolod [243]4 years ago
4 0

Answer:

Step-by-step explanation:

hello :

1) the system is : y=5x+4

                           y = 2x+1

so :5x+4 =2x+1

5x-2x=1-4

3x= -3      so : x= -1     but y =2x+1 put x=-1 you have : y =-1

the solution : (x,y) =( -1, -1)

2)  the system  is :     x + y = 4                                    

                                4x -y = 1

means :   y = - x+4    (line red)

               y= 4x-1     (line blue)  

graficly : intrsection is : (x,y) =(1 ,3 )

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A spherical ball with a volume of 2,304π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is
Nutka1998 [239]

Answer:

Therefore the volume of the box is 13824 in³

Step-by-step explanation:

Given:

A spherical ball with is packaged in a box that is in the shape of a cube.

Volume of ball = 2304π in³.

Let 'r' be the radius of sphere

To Find:

Volume of Cube = ?

Solution:

Volume of sphere is given by

\textrm{Volume of sphere}=\dfrac{4}{3}\pi r^{3}

Substituting the values we get

2304\pi=\dfrac{4}{3}\pi r^{3}\\\\\therefore r^{3}=1728\\\\Cube\ Rooting\\\\r=12\ in

Now we know that diameter is given by

diameter=2\times r=2\times 12=24\ in

it is given that,

The edge length of the box is equal to the diameter of the ball.

Therefore the length of cube = 24 in

Now the volume of the cube is given by

\textrm{Volume of cube}=(edge)^{3}

substituting the values we get

\textrm{Volume of cube}=(24)^{3}=13824\ in^{3}

Therefore the volume of the box is 13824 in³

6 0
4 years ago
What is the total amount for an investment of $100 invested at 3.5% for 8 years and compounded continuously?
chubhunter [2.5K]
<span>A=P<span>e^<span>rt</span></span></span> P = 100
r = .035
t = 8
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5 0
3 years ago
4(c-3)=8<br> what does c equals?<br> correct answers ONLY please
rodikova [14]
Is there like a picture or something?
5 0
3 years ago
Read 2 more answers
PLEASE! 10 POINTS! For what number A does the equation 3Ax - 24 = 5x - 9 + x have no solutions for x?
vovikov84 [41]

Answer:

A = 2

Step-by-step explanation:

When there are no solutions for x, both sides x cancel leaving an equation with two distinct numbers equal to each other (e.g. 6 = 0). Therefore, we must find a number A for which that happens.

Lets first simplify the equation, 3Ax - 24 = 5x - 9 + x = 6x - 9.

We want to cancel out the 6x on both sides. This happens when the left side also has 6x, so 3Ax = 6x -> A = 2.

Testing out this works, we get:

6x - 24 = 6x - 9 -> -24 = -9 (which isn’t true)

We get no solutions, which is what we are looking for! Therefore, A = 2 must be our answer!

I hope this helps! :)

6 0
3 years ago
If 12th term of an ap is -13 and sum of 1st four term is 24. What is the sum of first 20 terms
miv72 [106K]

Answer:

-200

Step-by-step explanation:

ATQ, a+11d=-13 and a+a+d+a+2d+a+3d=24, 4a+6d=24. Solving this, we get a=9 and d=-2. Sum of the first 20 terms is 10*(18+(19)*(-2))=-200

5 0
3 years ago
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