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Darya [45]
3 years ago
9

What is the equation of a line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ? Enter your equation in th

e box
Mathematics
1 answer:
ANTONII [103]3 years ago
6 0
Perpendicular lines have slopes that multiply to get -1
y=mx+b is the slope intercept equation
m=slope

so get into y=mx+b form
-x+2y=4
solve for y
add x both sides
2y=x+4
divide by 2 both sides
y=(1/2)x+2
the slope is 1/2

perppendicular line slope multiplies to -1
1/2 times what=-1
times 2/1 both sides
what=-2/1=-2

y=-2x+b
find b
we are given a point is (-2,1)
when x=-2, y=1
1=-2(-2)+b
1=4+b
minus 3 both sides
-3=b

so the equation is
y=-2x-3

your teacher might want it in standard form (ax+by=c) so
add 2x both sides
2x+y=-3 is an equation


so y=-2x-3 is correct (slope intercept form)
2x+y=-3 is also correct (standard form)
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Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?
grigory [225]

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Step-by-step explanation:

let cost of pencil = x

and cost of eraser = y

So, we have equations:

4x+3y=0.37\\3x+4y=0.33

Solving both equations to find value of x and y

Let:

4x+3y=0.37\,\,\,eq(1)\\3x+4y=0.33\,\,\,eq(2)

Multiply eq(1) with 4 and eq(2) with 3 and subtract

16x+12y=1.48\\9x+12y=0.99\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\7x=0.49\\x=0.07

Putting value of x in equation 1:

4x+3y=0.37\\4(0.07)+3y=0.37\\0.28+3y=0.37\\3y=0.37-0.28\\3y=0.09\\y=0.03

So, x= 0.07 and  y = 0.03

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

4 0
3 years ago
What is the value of x in the diagram?
olga55 [171]

Answer:

C. 20(degree symbol)

Step-by-step explanation:

lol I couldn't find the degree symbol so I just did that

hope this helps :)

7 0
2 years ago
In a right angled triangle, the two sides forming a right angle measure 8cm and 6cm. Area of this triangle is
Solnce55 [7]
<h3>Answer:  24 square cm</h3>

Work Shown:

base = 8, height = 6

area = (1/2)*base*height

area = (1/2)*8*6

area = 0.5*8*6

area = 4*6

area = 24

5 0
3 years ago
Read 2 more answers
The diameter of a circle is 4 cm. Find its area to the nearest tenth.
vazorg [7]
Pretty sure it’s 40 yep
8 0
3 years ago
Read 2 more answers
Which best defines a circle?
Paraphin [41]
I believe the correct answer is A, 

6 0
3 years ago
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