Which table shows a proportional relationship between x and y?

5x + 2y=7<br> - 2x + 6y=9

ollegr [7]

Answer:

x = $\frac{12}{17}$ or 0.706

$y = \frac{59}{34}$ or 1.735

Step-by-step explanation:

5x + 2y=7 ----->(eq 1)

- 2x + 6y=9 ----->(eq 2)

Multiply (eq 1) with 3

3×(5x + 2y) = 3×7

15x + 6y = 21 ----->(eq 3)

substract (eq 3) from (eq 2)

- 2x + 6y - (15x + 6y) = 9-21

- 2x + 6y - 15x - 6y = 9-21

- 2x - 15x + 6y - 6y = 9-21

-17x = -12

x = -12 ÷ -17

x = $\frac{12}{17}$

put x = $\frac{12}{17}$ in (eq 1)

$5*\frac{12}{17} + 2y = 7$

$2y = 7- 5*\frac{12}{17}$

$2y = \frac{7*17 - 60}{17}$

$2y = \frac{119- 60}{17}$

$2y = \frac{59}{17}$

$y = \frac{59}{17*2}$

$y = \frac{59}{34}$

6 0

3 years ago

Two vertices of a right triangle are located at (1, 3) and (2, 5) .Select each ordered pair that could be the coordinates of the

Scorpion4ik [409]

If you graph 4 separate triangles with the four different points, (2,3) and (1,5) form a right triangle.

6 0

3 years ago

Read 2 more answers

Explain how you would create and use a spinner to simulate the probability of an event with the following probabilities:

castortr0y [4]

To simulate the probability in a spinner divide the spinner into colors depending on the probability each color represents.

<h3>What does the word "probability" mean?</h3>

This word refers to the likelihood for an event to occur. Moreover, it is often expressed either as a fraction, a percentage, or a number.

<h3>How to create a spinner to simulate probability?</h3>

In this case, each of the colors represents a probability:

Green 20%
Blue 1/4 or 25%
Yellow 2/5 oe 40%
Orange 15%

Due to this, the best is to divide the spinner by colors and considering the percentanges of each color. For example 40% of the spinner should be red, while 15% should be orange.

Learn more about spinner in: brainly.com/question/24280611

#SPJ1

8 0

2 years ago

Show work. This is a BC calculus problem.

stepan [7]

Answer:

D.

Step-by-step explanation:

Remember that the limit definition of a derivative at a point is:

$\displaystyle{\frac{d}{dx}[f(a)]= \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}$

Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:

$\displaystyle{\frac{d}{dx}[f(1)]= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}$

Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).

The answer will thus be D.

5 0

2 years ago

The formula for the surface area of a cylinder with radius r and height h is at times twice the product of the

MrMuchimi

Answer:

<em> $2\pi \: rh + 2\pi {r}^{2} = 2(t \times {r}^{2} )$ </em>

Step-by-step explanation:

The TSA of the cylinder

$2\pi \: rh + 2\pi {r}^{2}$

In Mathematics, 'is' is =

Twice means 2( )

Product means ×

So we have

$2\pi \: rh + 2\pi {r}^{2} = 2(t \times {r}^{2} )$

as the answer.

6 0

3 years ago