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nadya68 [22]
2 years ago
10

Find the equation of the line. Through (-11, -1); perpendicular to y=15.

Mathematics
2 answers:
Harrizon [31]2 years ago
7 0

Answer:

x = - 11

Step-by-step explanation:

y = 15 is a horizontal line parallel to the x- axis

a perpendicular line must therefore be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

the line passes through (- 11, - 1 ) with x- coordinate of - 11 , then

x = - 11 ← equation of perpendicular line

Semmy [17]2 years ago
6 0

Answer:

x = -11

Step-by-step explanation:

The line y = 15 is a horizontal line to the x-axis passing which passes through x = 0, y = 15

The line perpendicular to y = 15 passing through (-11, -1) is a vertical line where x = -11 for all values of y including -1

So the equation is x = -11

See attached graph

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Suppose y varies directly with x. Write a direct variation equation that relates x and y. y=7 1/2 when x=3
kolbaska11 [484]

Answer:

y/x = 2.5

Step-by-step explanation:

y ∝ x

change ∝ to = by adding constant k or c

y = kx

Divide both sides by x

y/x = k, also k = y/x

Input the values

k = (7 1/2)/3.  Change 7 1/2 to improper fraction to give 15/2

k = (15/2)/3

k = \frac{15}{2} ÷ 3  

Change the division sign to multiplication which will change 3 to its inverse(1/3)

k = \frac{15}{2} × \frac{1}{3}

k = \frac{15}{6}

Divide the numerator and denominator by 3 to get 5/2

k = 5/2

From y/x = k,input k into the eqn

y/x = 5/2

y/x = 2.5

8 0
3 years ago
Help needed ASAP will give BRAINLIEST
grin007 [14]

Answer:

C.

Step-by-step explanation:

Recall that the sum of the (3) interior angles of a triangle <em>must</em> equate to 180.

In other words:

(55)+(20)+(x)=180

Where x is our unknown angle. So, we need to solve for x.

On the left, add 55 and 20:

75+x=180

Subtract 75 from both sides. The left side cancels:

x=105

Therefore, the third angle is 105 degrees.

Our answer is C.

7 0
3 years ago
How many ways are there to put 6 balls in 3 boxes if the balls are distinguishable but the boxes are not?
FromTheMoon [43]

This is essentially asking how many different ways to partition 6 into 3 segments.


I am assuming "no ball in a box" is not allowed.


6 can be partitioned as

(4,1,1), (3,2,1), and (2,2,2)


So, calculate each partition, we get

(6 choose 4) + (6 choose 3)*(3 choose 2) + (6 choose 2) * (4 choose 2)

= 15 + 20*3 + 15*6

=165

5 0
3 years ago
Find the simple interest rate needed in order for an investment of $2000 to grow to an account of $5000 in 3 years
Nutka1998 [239]

\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5000\\ P=\textit{original amount deposited}\dotfill&\$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &3 \end{cases} \\\\\\ 5000=2000(1+r3)\implies \cfrac{5000}{2000}=1+3r\implies \cfrac{5}{2}=1+3r \\\\\\ 5=2+6r\implies 3=6r\implies \cfrac{3}{6}=r\implies 0.5=r\implies \stackrel{\textit{converting to percent}}{0.5\cdot 100\implies 50\%}

5 0
3 years ago
Rich makes $12.50 an hour. If Rich works 56 hours in one week, how much would he earn for the week?
Roman55 [17]
The answer should be $700

Because $12.50 · 56 = $700
7 0
3 years ago
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