All categories

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.

You might be interested in

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....

Good luck on your assignment

4 0

2 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)

7 0

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

8 0

2 years ago

Pls show work will mark brainliest

maw [93]

The answer would be B.52 because, when you divide 104 by 78 you get about 1.333333. Which is the number you also use to multiply 39 by to find X. hope this helps!!!

6 0

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
x = 11.736 approx To the nearest tenth that is 11.7.

7 0

3 years ago