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Marrrta [24]
3 years ago
7

What is the solution of the quadratic system of equations? give brainliest and extra points!!

Mathematics
2 answers:
ololo11 [35]3 years ago
4 0

Try this solution:

The correct answer is 'a' only, where x= -4;-1 and y= -6;-21

kiruha [24]3 years ago
3 0

(- 1, - 6 ) from the list

Since both equations express y in terms of x, equate the right sides

x² + 10x + 3 = - x² - 5 ( add x² - 5 to both sides )

2x² + 10x + 8 = 0 ( divide all terms by 2 )

x² + 5x + 4 = 0

(x + 1 )(x + 4 ) = 0

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 4 = 0 ⇒ x = - 4

substitute these values into either of the 2 equations for y

x = - 1 : y = 1 - 10 + 3 = - 6 ( using y = x² + 10x + 3 )

x = - 4 : y = 16 - 40 + 3 = - 21

solutions are (- 1, - 6 ) or (- 4, - 21 )


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Black_prince [1.1K]

Answer:

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Step-by-step explanation:


8 0
3 years ago
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Which number lines have points that represent additive inverses? Check all that apply.
jeka94
<h3>2 Answers: B and D</h3>

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Explanation:

Choice B is one answer because -2 and 2 are additive inverses that add to -2+2 = 0

Choice D is a similar story. We have -5+5 = 0

In general, if x is some number then -x is its additive inverse. So we can say x+(-x) = 0 or -x+x = 0. In short, additive inverses add to 0.

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dolphi86 [110]

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Step-by-step explanation:

First, use distributive property to expand the first term.

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7 0
3 years ago
Point B has coordinates ​(4,1). The​ x-coordinate of point A is -4. The distance between point A and point B is 10 units. What a
klasskru [66]

Given:

Point B has coordinates ​(4,1).

The​ x-coordinate of point A is -4.

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To find:

The possible coordinates of point​ A.

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D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The distance between point A and point B is 10 units.

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y=1-6 and y=1+6

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Factor each equation into two linear binomials and set those binomial equal to zero separately and solve for x. 
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