Answer:
y=-1.5
X=1.75
Step-by-step explanation:
Yuh arrange the equations in order for easy subtracting of the equations.
-2y=0.5-2x. divide both sides by 2 to get y=-x-0.25.
6x+3y=6
3y=-6x+6 then divide both sides by three to get y
y=-2x+2
now arrange
y=-2x+2
y=-x-0.25 then multiple both equations by the cordinates of X value to eliminate x
9514 1404 393
Answer:
7.5 square units
Step-by-step explanation:
The formula for the area of a trapezoid is ...
A = 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.
Here, the bases are TR = 1 and PA = 4. The height is 3 units, so the area is ...
A = (1/2)(1 +4)(3) = 15/2 = 7.5 . . . . square units
1, 5 is the answer to the equation, 1+5=6 1x5=5
Answer:
Radius of P = 5 cm
Step-by-step explanation:
Radius (r) of Q = 20 cm
Area of Q = 4 × Area of P
This means that:
Area of the quarter circle (Q) = 4 × Area of the circle (P)
Thus:
¼(πr²) = 4 × πr²
Plug in the values into the equation
¼(π*20²) = 4 × πr²
Find the value of r, which is the radius of P
¼(400π) = 4πr²
Multiply both sides by 4
400π = 4πr²*4
400π = 16πr²
Divide both sides by 16π
400π/16π = r²
25 = r²
Take the square root of both sides
√25 = √r²
5 = r
r = 5
Therefore, the radius of P = 5 cm
So first you take the words and put them into an equation. "a number" that never gets directly told to you will always be a variable, which is easiest to make X. "The sum of a number and 8" will mean that 8+something is the sum so they have to go in parenthesis... giving you
4/3*(x+8)=24
now just solve for X, remembering to use the reverse of PEMDAS, since you're solving for the variable.
remove what is furthest away to the X first.
x+8=24*3/4
x+8=18
x=18-8
x=10
Now, remember to always go through and replace your variable with its value and solve. if it is not equal on both sides, retry the problem because you may have missed a small +, -, or * somewhere!
Hope this helped:)
