Solve the following system of linear equations by graphing:
-x+y = -7
4x + 4y = 20

Answer:

The Answer should be....

3q + 21

Answer:

[tex]x = \frac{16\sqrt{3}}{3}[/tex]

[tex]y = \frac{32\sqrt 3}{3}[/tex]

Step-by-step explanation:

Calculating (x):

Here, we make use of the tan formula

[tex]tan\theta = \frac{Opp}{Adj}[/tex]

Where

[tex]\theta = 60[/tex]

[tex]Opp = 16[/tex]

[tex]Adj = x[/tex]

This gives:

[tex]tan\ 60= \frac{16}{x}[/tex]

Make x the subject

[tex]x = \frac{16}{tan\ 60}[/tex]

tan(60) in surd form is [tex]\sqrt{3}[/tex]

So:

[tex]x = \frac{16}{\sqrt{3}}[/tex]

Rationalize

[tex]x = \frac{16}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]x = \frac{16\sqrt{3}}{3}[/tex]

Calculating (y):

Here, we make use of the tan formula

[tex]sin\theta = \frac{Opp}{Hyp}[/tex]

Where

[tex]\theta = 60[/tex]

[tex]Opp = 16[/tex]

[tex]Hyp= y[/tex]

This gives:

[tex]sin\ 60= \frac{16}{y}[/tex]

Make y the subject

[tex]y= \frac{16}{sin\ 60}[/tex]

tan(60) in surd form is [tex]\frac{\sqrt{3}}{2}[/tex]

[tex]y= \frac{16}{\frac{\sqrt{3}}{2}}[/tex]

[tex]y = 16/\frac{\sqrt 3}{2}[/tex]

[tex]y = 16*\frac{2}{\sqrt 3}[/tex]

[tex]y = \frac{32}{\sqrt 3}[/tex]

Rationalize

[tex]y = \frac{32}{\sqrt 3}*\frac{\sqrt 3}{\sqrt 3}[/tex]

[tex]y = \frac{32\sqrt 3}{3}[/tex]

Answer:

its to small

Step-by-step explanation:

9514 1404 393

Answer:

  89.1 liters

Step-by-step explanation:

"At the same rate" means miles and liters are proportional. The unknown is liters, so we can write the proportion with liters in the numerator:

  liters/miles = x/672 = 49/369.6

Multiplying by 672, we have ...

  x = 672(49/369.6) ≈ 89.09091

It will take 89.1 liters of gas to go 672 miles.

Answer:

y=2/3x-11/3

Step-by-step explanation:

First, find the slope.

m= y2-y1/x2-x1

-3+5/1+2 = 2/3

Slope is 2/3

Now, pick one of the coordinates and use that and the slope to put it in point-slope form.

Point slope form: y-y1=m(x-x1)

Let's use (1,-3)

y+3=2/3(x-1)

Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.

y+3=2/3x-2/3

y=2/3x-11/3

Answer:

y=2/3x-11/3

Step-by-step explanation:

use slope formula and slope intercept form. y=mx+b

Answer:

Step-by-step explanation:

Slope of DE = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                    =  [tex]\frac{c-c}{a+b-b}[/tex]

                    = 0

Slope of BC = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                    = [tex]\frac{0-0}{2a-0}[/tex]

                    = 0

Therefore, DE║BC because slopes of BC and DE are equal.

Answer:

D

Step-by-step explanation:

the equation for Josh is 500 + 40x while the equation for Vanessa is only 60x

if josh's account balance is greater than it would be josh > vanessa or vanessa < josh

Answer:

Demarcus is right the phone will cost $345

Step-by-step explanation:

15% of 300 = 45

300+45=345

Answer:Find the slope of the original line and use the point-slope formula  

y

−

y

1

=

m

(

x

−

x

1

)

to find the line parallel to  

y

=

3

x

+

6

.

y

=

3

x

−

5

Step-by-step explanation:

Answer:

Number of video game = 20

Step-by-step explanation:

Given:

Total number of project = 56

Ratio = 5:9

Find:

Number of video game

Computation:

Number of video game = 56[5/(5+9)]

Number of video game = 56[5/(14)]

Number of video game = 280 / 14

Number of video game = 20

Answer:

Volume of cylinder = 250πm³

Step-by-step explanation:

Given:

Height h = 10 m

Radius r = 5 m

Find:

Volume

Computation:

Volume of cylinder = πr²h

Volume of cylinder = π(5)²(10)

Volume of cylinder = 250πm³

Answer:

D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].

Step-by-step explanation:

Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).

If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:

[tex]a\cdot (0+3)^{2}-6 = 0[/tex]

And the value of [tex]a[/tex] is:

[tex]9\cdot a - 6 = 0[/tex]

[tex]a = \frac{2}{3}[/tex]

And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].

Lastly, the standard form of the equation is found by algebraic means:

[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]

[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]

The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].  

In consequence, the right answer is D.

Answer: Each shelf is 2ft

Step-by-step explanation:

16 = (2 x 4) + 4s

16 = 8 + 4s

8 = 4s (subtract 8 from both sides)

8/4 = 4s/4 (divide both sides by 4)

2 = s

Answer:

the value of the h is 6

Step-by-step explanation:

6 x 7 = 42

Answer:

what is the question

Step-by-step explanation:

Answer:

p

Step-by-step explanation:

Answer:

10,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Answer:

If he missed five questions he can get a zero

Step-by-step explanation:

Answer:

D: 14.5

Step-by-step explanation:

4.1 = d - 10.4    add 10.4 to each side

14.5 = d

Answer:

14.5

Step-by-step explanation:

10.4 - 4.1 = 14.5

Answer:

is this algebra 1

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

you isolate the variable by dividing each side

Answer:

Total cost= $12,300

Step-by-step explanation:

Giving the following information:

Fixed cost= $1,500

Monthly cost= $450

To calculate the total cost, we need to use the following formula:

Total cost= fixed cost + unitary variable cost*x

x= number of units

For 2 years:

Total cost= 1,500 + 450*24

Total cost= $12,300

Answer:

Step-by-step explanation:

Answer:

3/1

Step-by-step explanation:

you need to count the hight of the line from the (0,2) which will be 3 and then how much of the distance of x is. I used rise over run.

Answer:

The answer is A: True

Step-by-step explanation:

Repeating decimals are rational numbers because there is only one number that's repeating over and over again.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

-48 there is a pattern

Answer:

2+18

Step-by-step explanation:5+123