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Shalnov [3]
4 years ago
14

The graphs of y=x2- 3 and y = 3x -4 intersect at

Mathematics
1 answer:
OLga [1]4 years ago
8 0

Answer:

Option 3) (0.38, -2.85) and (2.62,3.85)

Step-by-step explanation:

we have

y=x^{2}-3 ----> equation A

y=3x-4 ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The intersection points are (0.38,-2.85) and (2.62,3.85)

see the attached figure

therefore

The graphs intersect approximately at (0.38,-2.85) and (2.62,3.85)

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<h3><u>given</u><u>:</u></h3>

base= 25 mm

height= 28 mm

<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>

the volume of the square pyramid.

<h3><u>solution</u><u>:</u></h3>

<u>volume =  {a}^{2}  \frac{h}{3}</u>

<u>v =  {25}^{2}  \frac{28}{3}</u>

<u>v = 5833.33333 {mm}^{3}</u>

<u>v = 5833.3 {mm}^{3}</u>

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Step-by-step explanation:

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3 years ago
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3 years ago
2. If AB = 4x + 9. BC = 5x + 2, and AC = 56, then find the value for . AB, BC.<br> A<br> B
inysia [295]

Answer:

AB=29; BC=27

Step-by-step explanation:

So they told us AB=4x+9 and that BC=5x+2, and AC=56 , now to help with the question you can draw this information on a number line. Now on a number you can see that basically AC=AB+BC.

So you would write it as such,,

4x+9+5x+2=56

Combine like terms

9x+11=56

Now you have to isolate the x by itself but first get rid of the 11.

9x+11-11=56-11

You would get

9x=45

Here you can divide 9 by both sides to isolate x.

9x/9=45/9

{x=5}

Now to find the value for both substitue x in the equations for both

1. AB=4x+9 where x is 5

4(5)+9 =AB

20+9 =AB

29=AB

You would do the same with BC

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5(5)+2= BC

25+2= BC

27=BC

If you want to check your answers you can just substitute x for 5 in the first equation we did where AC=AB+BC

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