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3 years ago

Im doing systems of equations and its 2x+2y=16

Mathematics

1 answer:

xeze [42]3 years ago

8 0

Answer:

x=3, y=5 This means the point would be (3,5)

Step-by-step explanation:

As I am unable to see your work, I am unable to tell you what you did wrong, but I hope you can notice what was wrong by comparing your work to mine

We are given the equations

$2x+2y=16\\3x-y=4$

The first thing we need to do is solve one of them for a variable and use substitution. I chose the second equation

$3x-y=4\\\\y=3x-4$

Now we can substitute in this equation for y

$2x+2y=16\\\\2x+2(3x-4)=16\\\\2x+6x-8=16\\\\8x=24\\\\x=3$

Now that we have the value for x, we can plug it into the second equation to easily find y.

$y=3x-4\\\\y=3(3)-4\\\\y=9-4\\\\y=5$

Finally, we can plug x and y into the first equation in order to check to make sure it works for the other equation

$2x+2y=16\\\\2(3)+2(5)=16\\\\6+10=16\\\\16=16$

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The equation y 4.9t 2 3.5t 2.4 relates the height y in meters to the elapsed time t in seconds for a ball thrown downward at 3.5

tamaranim1 [39]

Answer:

$t \approx 0.43\,s$

Step-by-step explanation:

The vertical displacement function is $y(t) = -4.9\cdot t^{2}-3.5\cdot t + 2.4$ , where $y(t)$ is measured in meters and $t$ in seconds. Ball hits the ground when $y(t) = 0$ . That is:

$-4.9\cdot t^{2}-3.5\cdot t + 2.4 = 0$

Whose roots can be found by using the General Formula for Second-Order Polynomials:

$t_{1,2} = \frac{3.5\pm \sqrt{(-3.5)^{2}-4\cdot (-4.9)\cdot (2.4)} }{2\cdot (-4.9)}$

Solutions of this polynomial are:

$t_{1} \approx 0.43\,s,t_{2} \approx -1.14\,s$

Only the first root is physically consistent.

3 0

3 years ago

A figure is part blue and part red.it is 5/8 red what part of the figure is blue

oksian1 [2.3K]

If $\frac{5}{8}$ is red, than the remaining $\frac{3}{8}$ would be blue. $\frac{5}{8}$ + $\frac{3}{8}$ would give you $\frac{8}{8}$ .

8 0

3 years ago

Evaluate the expression Show your work b) -10 -5h for h = -6

vazorg [7]

Answer:

Step-by-step explanation:

-10-5x(-6)

-10+30

4 0

3 years ago

The following table shows the working populations, average salaries, and income tax rates of France and Ger

ra1l [238]

Answer:

The French government gathers €85,930,190,677 more than the German government

Step-by-step explanation:

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2 years ago

What value of x makes this equation true? 6x/-4=6(-1/2) a) -2 b)2 c)3 d)-3

Yuri [45]

6x/-4 = 6(-1/2)
6x/-4 = - 3...multiply by -4
6x = -3 * -4
6x = 12
x = 2

7 0

3 years ago