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Zinaida [17]
3 years ago
5

Write the equation of a line that is perpendicular to x=-6 and that passes through the point (-1 -2)

Mathematics
1 answer:
Anna11 [10]3 years ago
3 0

Equation of the line perpendicular to x = -6 is y = -2

Step-by-step explanation:

The equation of a line in the slope-intercept force is

y-y_0 = m(x-x_0)

where

m is the slope

(x_0,y_0) are the coordinates of a point on the line

In this problem, we have already a point on the line:

(x_0,y_0)=(-1,-2)

Concerning the slope, we are told that the line is perpendicular to the line

x = -6

This line is a vertical line: therefore, our line must be a horizontal line, so its slope is

m=0

So now we can find the equation of the line:

y-(-2)=0(x-(-1)\\y+2=0\\y=-2

Learn more about parallel and perpendicular lines:

brainly.com/question/3414323

brainly.com/question/3569195

#LearnwithBrainly

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Two bowls and one cup weigh 800 grams. One bowl and two cups weigh 700 grams. Find the weight of the bowl and the cup
antoniya [11.8K]

Answer:

\large \boxed{\textbf{Bowl = 300 g; cup = 200 g}}  

Step-by-step explanation:

 Let b  = the mass of a bowl  

and c = the mass of a cup  

We have two conditions:  

\begin{array}{lrcl}(1) &2b + c  & = & 800\\(2) & b + 2c & = & 700\\\end{array}

Calculations:  

\begin{array}{lrcll}(3) & 4b + 2c &=  & 1600&\text{ Multiplied (1) by 2}\\& 3b & = & 900&\text{Subtracted (2) from (3)}\\(4) & b & = & \mathbf{300}&\text{Divided each side by 3}\\ & 600 + c & = & 800&\text{Substituted (4) into (2}\\ & c & = & \mathbf{200}\\\end{array}\\\text{The mass of a bowl  is $\large \boxed{\textbf{300 g}}$ and that of a cup is $\large \boxed{\textbf{200 g}}$}

Check:

\begin{array}{rlcrl}2(300) + 200& =800 & & 300 + 2(200) & = 700\\600 + 200 & = 800& & 300 + 400 & = 700\\800 & = 800& & 700 & = 700\\\end{array}

OK.

6 0
3 years ago
Select all names that apply.<br><br><br> 121<br> 121
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I don't understand the question

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What is the area of the triangle shown below?
Effectus [21]

Answer:

42 sq. Units

Step-by-step explanation:

I took the test

7 0
3 years ago
What is 9/8 x 1/9 equals what fraction?
Alborosie
\frac{9}{8} * \frac{1}{9}
On multiplying;
\frac{9}{72}
4 0
3 years ago
A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago.
Tcecarenko [31]
Probability that gear 1 will fail = 5/100 (upto 10 years) 
and 8/100 (after 10 years)

Probability that both will fail = 5/100 * 8/100
= 40/10000
= 0.4 %

8 0
3 years ago
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