Answer:
(6,20) because both lines pass through this point
Step-by-step explanation:
To solve this you can use the substitution method.
Since both of them are equal to y, substitute one of the equations for y, that way you have x+14 = 3x+2. From here you continue to simplify.
Eliminate x from either side of the equation. For example, subtract x from the side that says "x+14". (Make sure you are also subtracting it from the other side of the equal sign as well.
Once you do this you should now have 14 = 2x+2
In order continue, you now have to get x by itself. So now subtract 2 from both sides of the equation. After doing this, you should have 12 = 2x
You then simplify x by dividing both sides by 2. This will get you x = 6
Now that you have the x-value, substitute that into either of the two equations (it is recommended you substitute it into both equations to make sure you have the correct x-value). For example: If I substitute x into Line C's equation, I will now have y = 6 + 14.
6 + 14 is 20, therefore you're y-value is y = 20
ANSWER:
a. y=3x+2
b. y=-1/2x-1
find the y intercepts that fit with the coordinates and for a parallel line the slope stays the same, while for a perpendicular line the slope flips and turns into the opposite symbol.
The kite is approximately 78.80 feet off of the ground.
Explanation: If we assume that the string his held taut without any swag, we can use a right triangle to solve for the height of the kite. sin
θ
=
o
p
p
h
y
p
sin
52
o
=
h
100
f
t
100
sin
52
o
=
h
100
(
0.7880
)
=
h
78.80
f
t
=
h
Answer:
4x-6
Step-by-step explanation:
Less than means it comes after so we need to do the product of 4 and the number x
4x
Now subtract 6
4x-6
Wow ! If I understand what's go0ing on here, then
we have to be careful, and THINK .
I was going to ask you "What does Ф mean ?", and then I realized,
Ф is a new operation that the teacher invented.
The first line on the board is the definition of Ф .
Ф means "<u>Add the two numbers and subtract 4</u>."
Now you have to use this new invention to find the value
of the second line:
Take care of the stuff inside the parentheses first: ( 4 Ф 2 )
<u>Add the two numbers and subtract 4
</u>4 + 2 - 4 = <u>2</u><u>
</u>That's the part inside the parentheses. It's <span><u>2</u> .</span><u>
</u>NOW, we have to do the new operation with the 2 inside,
and the 3 that's outside the parentheses:<u>
</u>3 Ф 2
<u>Add the two numbers and subtract 4</u>
3 + 2 - 4 =<u> 1</u>
And that's the final value of 3 Ф (4 Ф 2) . It's <u>1</u> .
Pretty sneaky.
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