Please,slove the math step by step,Sir.

docker41 [41]

Answer:

(-2,6)

Step-by-step explanation:

The solution to the system of equations should be true for both equations. This means that if you substitute -2 into both equations, you should get 6 as the y value for both equations.

They gave you a graph, and to find the solution from the graph, you just look at which point is shared by both lines, or at which point both lines intersect.

There is also a mathematical way to do it using substitution and elimination, but you should master the graphing method first before moving onto those.

5 0

3 years ago

How do I find the measure of angle ABE??

lana66690 [7]

You find the measure of angle BEC, by adding angle B and angle C which is 43+90, and then subtract that from 180 and get 180-(43+90). Then you take the measure of angle BEC (which is the same as AEB), take AEB and A which is 90 degrees and add those together. Then you take that and subtract it from 180, which is 180-(AEB+90)

3 0

2 years ago

In a certain four-engine vintage aircraft, now quite unreliable, each engine has a 15% chance of failure on any flight, as

Romashka [77]

Answer:

0.0975 or 9.75%

Step-by-step explanation:

Assuming that no engines fail simultaneously, the probability that exactly one engine fails is the probability that the first engine fails (15%) multiplied by the probability that the second engine does not fail (100% - 35%):

$P = 0.15*(1-0.35)\\P=0.0975$

The probability of exactly one engine failure is 0.0975 or 9.75%

8 0

2 years ago

NEED ANSWER ASAP!!!!

gayaneshka [121]

Answer:

y=4x+64

Step-by-step explanation:

The slope intercept form is y=mx+b, m being the slope and b being the y-intercept

The line intersects the y axis at (0, 64), so the y intercept is 64

To find the slope, find the change in y over the change in x

The y decreases by 16 every time the x increases by 4

SO the slope is 16/4, simplified to 4

y=4x+64

6 0

2 years ago

Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)

timofeeve [1]

Answer: $x-2y-2=0$

Step-by-step explanation:

Given :

$f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8$

Point of intersection :

$f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}$

$x=2\,;f(2)=2^2-4=0\\x=\frac{-3}{2}\,; f\left ( \frac{3}{2} \right )=\left ( \frac{3}{2} \right )^2-4=\frac{-7}{4}=-1.75$

So, we have points $\left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )$

Equation of line passing through two points $\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )$

Let $\left ( x_1,y_1 \right )=\left ( 2,0 \right )\,,\,\left ( x_2,y_2 \right )=\left ( -1.5,-1.75\ \right )$

So, equation is as follows :

$y-0=\frac{-1.75-0}{-1.5-2}\left ( x-2 \right )\\y=\frac{-1.75}{-3.5}\left ( x-2 \right )\\y=\frac{1}{2}(x-2)\\2y=x-2\\x-2y-2=0$

4 0

3 years ago