All categories

3 years ago

A line passes through the point (-3, -3) and has a slope of 1/2 What is the equation of the line?

1 answer:

3 0

Y-y1=m(x-x1)
(x1,y1) is a given point
m=slope
y-(-3)=1/2(x-(-3))
y+3=1/2(x+3) is an equation

2x+3y=6
x+y=4
multiply second equation by -2 and add to first

2x+3y=6
<u>-2x-2y=-8 +</u>
0x+1y=-2

y=-2
sub back

x+y=4
x-2=4
add 2
x=6

x=6
y=-2
(6,-2)

You might be interested in

Maxine is replacing a 10.25-meter row of wood floor. She has already placed a strip that is 0.5 meter long. How many 1.5-meter s

Nat2105 [25]

6.5 strips. Have a great day!

7 0

3 years ago

Adult tickets for the game cost $4 each and student tickets cost $3 each. A total of 105 tickets worth $380 were sold. How many

Marta_Voda [28]

Answer:

There were 40 student tickets sold.

Step-by-step explanation:

First I set up equations to represent this situation.

4x+3y=380

x+y=105

x represents the adult tickets and y represents the student tickets.

I can solve this with the elimination method. I want to cancel out the x so I will multiply every term in equation 2 by -4.

4x+3y=380

-4x-4y=-420

Now I combine like terms.

-y=-40

I can divide the negative one from both sides.

y=40

4 0

3 years ago

Read 2 more answers

Solving Square Root Worksheet (x - k)^2 Part 3

erastova [34]

Answer:

7. x = -2 +/- $4i\sqrt{5}$

8. x = 2 or x = 6

9. x = -2 +/- $\frac{\sqrt{26} }{2} i$

10. t = -3 +/- $\sqrt{35}$

Step-by-step explanation:

7. Subtract 320 from both sides: 4(x + 2)^2 = -320

Divide by 4: (x + 2)^2 = -80

Square root both sides: x + 2 = +/- $\sqrt{-80}$ . We need to add the imaginary i to this: +/- $\sqrt{-80}$ = +/- $i\sqrt{80}$ = +/- $4i\sqrt{5}$

Subtract 2 from both sides: x = -2 +/- $4i\sqrt{5}$

8. Add 18 to both sides: 7(x - 4)^2 = 28

Divide by 7: (x - 4)^2 = 4

Square root both sides: x - 4 = +/- 2

Add 4 to both sides: x = 4 +/- 2 ⇒ x = 2 or x = 6

9. Add 5 to both sides: -2(x + 2)^2 = 13

Divide by -2: (x + 2)^2 = -13/2

Square root both sides: x + 2 = +/- $\sqrt{-13/2}$ . We again need i: +/- $\sqrt{-13/2}$ = +/- $i\sqrt{13/2} =$ +/- $\frac{\sqrt{26} }{2} i$

Subtract 2 from both sides: x = -2 +/- $\frac{\sqrt{26} }{2} i$

10. Multiply by 5 on both sides: (t + 3)^2 = 35

Square root both sides: t + 3 = +/- $\sqrt{35}$

Subtract 3: t = -3 +/- $\sqrt{35}$

Hope this helps!

3 0

4 years ago

Read 2 more answers

Simplify the following expression. Write the result using positive exponents only. Assume that all bases are not equal to 0.

Levart [38]

Photo math is ya bestfriend
1/ x^40y^45

4 0

3 years ago

An office building casts a 90 foot shadow. At the same time of day, a 5 foot woman standing near the building casts an 8 foot sh

professor190 [17]

The answer is 56.25ft

6 0

3 years ago