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san4es73 [151]
3 years ago
8

Please help Need help

Mathematics
1 answer:
Anettt [7]3 years ago
8 0
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
   y-2 = -4(x-1)  
   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
   this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
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A circle has a diameter of 12 feet. What is the circumference of the circle?
Lady bird [3.3K]

Answer:

B). 37.68 feet.

Step-by-step explanation:

Circumference = diameter *  π

= 12 * π

=  37.68 feet.

5 0
3 years ago
marlene is painting square tiles for a project.each tile has a perimeter of 16 in.what is the length of each side.
elixir [45]

Answer:

64 i hope im right

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the increase in price of a single piece of design, when crafts design price is increased by 45% which makes a buyer to buy
Volgvan

Answer: Original price = $43.10, Increase = $19.40, Final price = $62.50

<u>Step-by-step explanation:</u>

Let x represent the original price, then

8x(1.45) < $500

x

x < $43.10

Increase is 0.45x

0.45($43.10)

= $19.40

Final price is Original + Increase

$43.10 + $19.40

= $62.50

8 0
3 years ago
(8n^2+4n^4)+(7n^3-4n^4)
Lina20 [59]

Answer:

8n^2+7n^3

Step-by-step explanation:

8n^2+4n^4+7n^3-4n^4

=8n^2+7n^3

4 0
3 years ago
On the Algebra test the number of students who got a grade A was three more than twice the number of students who got lower grad
svlad2 [7]
X= # students who got lower grades
2x+3= # students with grade A

STEP 1:
Add the two sets above equal to 24.

x + (2x + 3)= 24
combine like terms

3x + 3= 24
subtract 3 from both sides

3x= 21
divide both sides by 3

x= 7 (# students lower than A)


STEP 2:
substitute x value from step 1 to find # grade A students

=2x + 3
=2(7) + 3
=14 + 3
=17 (# grade A students)


CHECK:
x + (2x + 3)= 24
7 + 2(7) + 3= 24
7 + 14 + 3= 24
24= 24


ANSWER: There were 17 students with grade A.

Hope this helps! :)
4 0
3 years ago
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