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atroni [7]
2 years ago
11

Write an equation of a line that goes through the point (-9, 3), and is perpendicular to the line 3x + y = 5

Mathematics
1 answer:
Vlad [161]2 years ago
3 0
To find the slope of the line, first find the slope of 3x + y = 5, and then its opposite reciprocal.

3x + y = 5
y = -3x + 5
the slope of 3x + y = 5 is -3.

the slope is -3, so the opposite reciprocal slope is 1/3.

the equation of any line is y = ax + b
to find this line, y = 3, x = -9, and the slope is 1/3.

3 = -9a + b
3 = -9 (1/3) + b
3 = -3 +b
b = 6

substitute a and b into the equation
y = ax + b
y = 1/3x + 6

the equation of the line is y = 1/3x + 6.


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Add.<br> (4x2 - 2x) + (5x-7)
Sloan [31]

Answer:

4x²+3x-7 is the answer

Step-by-step explanation:

=(4x²-2x)+(5x-7)

opening brackets

=4x²-2x+5x-7

=4x²+3x-7

i hope this will help you :)

7 0
3 years ago
What would be the answer please explain
sp2606 [1]

Using the line of the best fit, the predicted student's score in English test is 48

<h3>How to determine the student's score in English?</h3>

From the question, we have:

Mathematics score = 60

The scores in English tests are plotted on the y-axis.

On the given graph, we have:

(x,y) = (60,48)

This means that when x = 60, the value of y is 48

This in other words means that the student's score in English test is 48

Read more about line of best fit at:

brainly.com/question/17261411

#SPJ1

6 0
1 year ago
Write these fractions in least common denominator2/5x+15y 1/2x+6y
Over [174]
Look at deonomators

assuming that the deonomenators are 5x+15y and 2x+6y

find their LCM
factor

5x+15y=5(x+3y)

2x+6y=2(x+3y)

LCM=10(x+3y)=10x+30y

multiply 2/(5x+15y) by 2/2=4/(10x+30y)
multiply 1/(2x+6y) by 5/5=5/(10x+30y)

if we add them
9/(10x+30y)
3 0
3 years ago
Find the domain and range of the relation.
Kisachek [45]

the answer is in the picture above

8 0
2 years ago
Simplify.
Kazeer [188]
(1/2)^2 = 1/4
2-2/3 = 6/3 - 2/3 = 4/3

OK so:
(1/2)^2 - 6(2-2/3) = 1/4 - 6(4/3)
= 1/4 - 8
= 1/4 - 32/4
= -31/4
3 0
2 years ago
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