Combine like terms
move the like terms together (x^2 with x^2, x with x, number wiht numbers)
4x^2-2x^2-5x+x+4+8
2x^2-4x+12
Answer:
y=18 x=15
Step-by-step explanation:
1.
multiplyboth sides by 3
2(x-6)=18
divide both sides by 2
x-6= 9
add 6 on both sides
x=15
2.
add 6 on both sides
2/3y= 12
multiply both sides by 3
2y=36
divide both sides by 2
y=18
The area of the scale drawing will be:
600 square feet.
Step-by-step explanation:
The actual length of a wall in the room is 46 feet and the actual width of the room is 69 feet.
It is given that:
The scale factor of a room for a scale drawing is 2.3.
The length of the room according to the scale drawing will be:
46÷2.3=20 feet
and the width of the room according to scale drawing will be:
69÷2.3=30 feet
We know that the wall is in the shape of a rectangle.
This means that the area of scale drawing will be:
Length×Width
= 20×30
= 600 square feet.
12 divuded by3=4, 12 dibed by 4=3, 12 divided by 6=2, 12dibided by 2=6, 12 divided by1=12, 12 divided by 12=1
<u>The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.</u>
Answer:
<em>The point Q is (2,3)</em>
Step-by-step explanation:
Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).
The required point Q must satisfy the relation:
d(RQ) = 2/3 d(RS)
Where d is the distance between two points.
The horizontal and vertical axes also satisfy the same relation:
x(RQ) = 2/3 x(RS)

And, similarly:

Working on the first condition:

Removing the parentheses:

Adding 2:

x = 2
Similarly, working with the vertical component:

Removing the parentheses:

Subtracting 1:

y = 3
The point Q is (2,3)