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3 years ago

Select the correct answer from the choices given

Mathematics

1 answer:

ohaa [14]3 years ago

8 0

The answer is n= -13-4i

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Find the solutions to the following linear-quadratic systems algebraically. Select the ordered pair that is one of the correct s

Ghella [55]

Answer:

(-2, 6)

Step-by-step explanation:

we have

$y=x^{2} +3x+8$ ----> equation A

$y=2x+10$ ----> equation B

equate equation A and equation B

$x^{2} +3x+8=2x+10$

$x^{2} +3x+8-2x-10=0$

$x^{2} +x-2=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +x-2=0$

$a=1\\b=1\\c=-2$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}$

$x=\frac{-1\pm\sqrt{9}} {2}$

$x=\frac{-1\pm3} {2}$

$x=\frac{-1+3} {2}=1$

$x=\frac{-1-3} {2}=-2$

Find the values of y

For x=1

$y=2(1)+10=12$

For x=-2

$y=2(-2)+10=6$

therefore

The solutions are (1,12) and (-2,6)

3 0

3 years ago

What’s the distance between (-9,-10) and (-3,5)

Vikentia [17]

Remember that to find distance (or the slope) you need this formula y2-y1/x2-x1. 5+10 = 15
-3+9 = 6 15/6 = 5/2

5
—-
2
Is ur answer

5 0

3 years ago

How i can answer this question

Liula [17]

Answer:

2a + 7

Step-by-step explanation:

2a + 6 + 1 ← collect like terms

= 2a + (6 + 1)

= 2a + 7

3 0

3 years ago

The point (0, –4) is located

mixer [17]

I'm going to assume you're asking where the point is located on a coordinate plane.

We have x = 0 and y = -4.

So, we start at (0, 0) and move down 4 units.

Best of Luck!

7 0

3 years ago

The probability that a driver will get stopped by a red light in Grayson is 0.15. Assuming redlights are independent of each oth

Vinvika [58]

Answer:

0.0225

Step-by-step explanation:

GIven two events A and B that are independent (=their occurrence does not depend on the other event), the probability that both events occur is given by the product of the individual probabilities:

$p(AB)=p(A)\cdot p(B)$

where

$p(A)$ is the probability that event A occurs

$p(B)$ is the probability that event B occurs

In this problem, we can call:

A = the driver get stopped by a red light at the 1st traffic light

B = the driver get stopped by a red light at the 2nd traffic light

The probabilities are

$p(A)=0.15$

$p(B)=0.15$

So, the probability that Taylor will get stopped by both the 2 red lights is

$p(AB)=0.15\cdot 0.15 =0.0225$

4 0

3 years ago