All categories

3 years ago

A system of equations is shown below

Mathematics

1 answer:

KatRina [158]3 years ago

7 0

Answer:

D Multiply equation B by 5 and equation A by 4 and add the results together

You might be interested in

Equation for the line perpendicular to the line -6x-7y=-6 having the same y-intercept as 8x-5y=10

PilotLPTM [1.2K]

Solving   <span>8x-5y=10 for y helps us to identify the y-intercept:

-5y = -8x + 10. Dividing both sides by -5, we get (8/5)x -2. Therefore, y = (8/5)x - 2; the y-intercept is (0,-2).

The equation  </span><span>-6x-7y=-6 can be solved for its slope in the same manner.
7y = -6x + 6; then y = (-6/7)x + 6/7. Its slope is -7/6. A line perpendicular to this line has slope equal to the negative reciprocal of -7/6,  which is 6/7.

So, using the slope-intercept form, y = mx + b becomes y = (6/7)x -2.</span>

4 0

3 years ago

Line AB intersects line CD at point F, with a ray FE forming a right angle EFB. What angle relationship best describes angles AF

vova2212 [387]

Based on the positions of angles AFC and EFC, the relationship between them is a Complimentary angle.

<h3>How are AFC and EFC related?</h3>

Angles AFC and EFC are complimentary angles because complimentary angles are angles that add up to 90 degrees.

Looking at the shape, Line FC divides the right angle to create angles AFC and EFC so when these are added together, they equal 90 degrees.

In conclusion, angles AFC and EFC are complimentary.

Find out more on complimentary angles at brainly.com/question/20728641.

#SPJ1

4 0

2 years ago

In a class 30 students,20 students like to play cricket and 15 like to play valleyball. Also each student like to play at least

Alisiya [41]

Answer:

Well we add together 20+15 which is 35 which is 5 over the 30 in the class so that means out of the 30 students 5 of them like both games

Hope This Helps

4 0

3 years ago

Read 2 more answers

Solve for x t=1/2(1/x-1/y)

Ilya [14]

Answer:

Step-by-step explanation:

671518 jnaja(a iuyquq uhh 71718(2961881

8 0

3 years ago

The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun

Ugo [173]

Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. $\mu=12.30$ and $\sigma=0.20$

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process = probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

$P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587$

Hence, the required probability= A) 0.1587

6 0

3 years ago