1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bearhunter [10]
3 years ago
6

Which of these equations would be parallel to a line a slope of -7?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0
Where’s the picture at
You might be interested in
A circle has the order pairs (-1, 2) (0, 1) (-2, -1) what is the equation . Show your work.
olga55 [171]
We know that:

(x-a)^2+(y-b)^2=r^2

is an equation of a circle.

When we substitute x and y (from the pairs we have), we'll get a system of equations:

\begin{cases}(-1-a)^2+(2-b)^2=r^2\\(0-a)^2+(1-b)^2=r^2\\(-2-a)^2+(-1-b)^2=r^2\end{cases}

and all we have to do is solve it for a, b and r.

There will be:

\begin{cases}(-1-a)^2+(2-b)^2=r^2\\(0-a)^2+(1-b)^2=r^2\\(-2-a)^2+(-1-b)^2=r^2\end{cases}\\\\\\
\begin{cases}1+2a+a^2+4-4b+b^2=r^2\\a^2+1-2b+b^2=r^2\\4+4a+a^2+1+2b+b^2=r^2\end{cases}\\\\\\
\begin{cases}a^2+b^2+2a-4b+5=r^2\\a^2+b^2-2b+1=r^2\\a^2+b^2+4a+2b+5=r^2\end{cases}\\\\\\


From equations (II) and (III) we have:

\begin{cases}a^2+b^2-2b+1=r^2\\a^2+b^2+4a+2b+5=r^2\end{cases}\\--------------(-)\\\\a^2+b^2-2b+1-a^2-b^2-4a-2b-5=r^2-r^2\\\\-4a-4b-4=0\qquad|:(-4)\\\\\boxed{-a-b-1=0}

and from (I) and (II):

\begin{cases}a^2+b^2+2a-4b+5=r^2\\a^2+b^2-2b+1=r^2\end{cases}\\--------------(-)\\\\a^2+b^2+2a-4b+5-a^2-b^2+2b-1=r^2-r^2\\\\2a-2b+4=0\qquad|:2\\\\\boxed{a-b+2=0}

Now we can easly calculate a and b:

\begin{cases}-a-b-1=0\\a-b+2=0\end{cases}\\--------(+)\\\\-a-b-1+a-b+2=0+0\\\\-2b+1=0\\\\-2b=-1\qquad|:(-2)\\\\\boxed{b=\frac{1}{2}}\\\\\\\\a-b+2=0\\\\\\a-\dfrac{1}{2}+2=0\\\\\\a+\dfrac{3}{2}=0\\\\\\\boxed{a=-\frac{3}{2}}

Finally we calculate r^2:

a^2+b^2-2b+1=r^2\\\\\\\left(-\dfrac{3}{2}\right)^2+\left(\dfrac{1}{2}\right)^2-2\cdot\dfrac{1}{2}+1=r^2\\\\\\\dfrac{9}{4}+\dfrac{1}{4}-1+1=r^2\\\\\\\dfrac{10}{4}=r^2\\\\\\\boxed{r^2=\frac{5}{2}}

And the equation of the circle is:

(x-a)^2+(y-b)^2=r^2\\\\\\\left(x-\left(-\dfrac{3}{2}\right)\right)^2+\left(y-\dfrac{1}{2}\right)^2=\dfrac{5}{2}\\\\\\\boxed{\left(x+\dfrac{3}{2}\right)^2+\left(y-\dfrac{1}{2}\right)^2=\dfrac{5}{2}}
7 0
3 years ago
Jade wants to build a raised garden bed in her backyard. The garden measures 9 feet in length by 6 feet in width by 4 feet in de
e-lub [12.9K]

Answer:

$864

Step-by-step explanation:

5 0
2 years ago
What the value of x 4(2x-5)=5x+4
mrs_skeptik [129]

x=8

hope this helps you

7 0
3 years ago
Read 2 more answers
Hank's gas tank holds 18.5 gallons. If the tank has 6 gallons of gasoline in it, what percent of the tank is empty?
sergij07 [2.7K]

18.5 - 6 = 12.5 gallons empty

12.5 / 18.5 = 0.676

0.676 x 100 = 67.6%

Answer: 67.6%

8 0
3 years ago
Read 2 more answers
3c - b = 2a solve for c
alekssr [168]

Answer:

c = \frac{2a + b}{3}

Step-by-step explanation:

3c - b = 2a \\ 3c = 2a + b \\   \frac{3c}{3}  =  \frac{2a + b}{3}  \\ c = \frac{2a + b}{3}

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em>

<em>let</em><em> </em><em>me</em><em> </em><em>know</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>another</em><em> </em><em>questions</em><em>:-)</em>

5 0
2 years ago
Read 2 more answers
Other questions:
  • What was the average temperature for the month of April in Washington D.C?
    11·2 answers
  • You are making a scale model of the solar system. The radius of Earth is 6378 kilometers. The radius of the Sun is 695,500 kilom
    10·1 answer
  • How much water will be needed to completely fill a rectangular vase that has a length of 4 inches, a width of 4 inches, and a he
    5·2 answers
  • Alex needs to varnish the top and bottom of a dozen rectangular wooden planks the planks are 8 feet long and 3 feet wide eavh pi
    15·1 answer
  • How do you know in what direction to shade on the line?Explain.
    8·1 answer
  • HELP ME PLEASEEEEEEEEEEEEEEEEEEE
    13·2 answers
  • The owner offers a payment plan where the total cost of the mountain bike is paid in 3 equal monthly payments. Determine the amo
    11·1 answer
  • Can someone solve this and show it step by step<br><br> −5x + 2[x − (4 + 2x)] ≥ 5 − 2(x − 1)
    7·2 answers
  • Given that 3x-6y=11 find y when x=-4 give your awnser as an improper fraction
    6·2 answers
  • Negative one half minus negative five ninths
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!