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3 years ago

What are the solutions to the following system of equations? y=x^2+12x+30 and 8x-y=10

1 answer:

6 0

Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:

8x-10 = x^2+12x+30

Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.

If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.

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IM GIVING 20 POINTS. Help me with this please. it would be very helpful.

Talja [164]

Solution:

hypotenuse=p

perpendicular=m

base=n

According to Pythagoras theorem,

h^2=p^2+b^2

So the right answer of your question is m^2+n^2=p^2

Right answer is of option A.

Hope it helps....

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4 0

3 years ago

Read 2 more answers

Solve the system of equations x+4y=15 2x-y=-15

Lady_Fox [76]

x+4y=15 2x-y=-15

We have to make x neg.

-2(x) + 4y (-2)= -2(15)

-2x-8y=-30

2x-y=-15

-9y= -45

Solve for y

Y=-45/-9

Y = 5

Substitute your y answer into one original equation to find x .

x+4y=15

X+4(5)=15

X+20=15

X=15-20

X= -5

Answer is (-5,5)

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3 years ago

A diver is 15 feet below the surface of the water 10 seconds after he entered the water and 90 feet below the surface after 40 s

Monica [59]

Answer:

Step-by-step explanation:

1.5

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2 years ago

Pls show work will mark brainliest

maw [93]

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2 years ago

A 12- foot ladder is resting against a wall. The base of the ladder is 2.5 feet from the base of the wall. How high up the wall

maks197457 [2]

The right triangle has legs of x and 2.5 where x is the height up the wall that the ladder will reach. The length of the ladder is the hypotenuse of the right triangle.

According to the Pythagorean Theorem, x^2 + 2.5^2 = 12^2
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3 years ago