Answer:
(3,3)
Step-by-step explanation:
Given


Required
Determine which can't be any of the new vertices
First, we need to determine the new vertices:

For (0,0):



For (1,0):



For (0,1):



<em>Comparing the calculated new vertices to the list of given options; (3,3) can't be any of the new vertices of the new triangle</em>
<em></em>
Answer:
x=−8
y=6=
Step-by-step explanation:
3x+4y=0
5x−3y=−58
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
3x+4y=0,5x−3y=−58
To make 3x and 5x equal, multiply all terms on each side of the first equation by 5 and all terms on each side of the second by 3.
5×3x+5×4y=0,3×5x+3(−3)y=3(−58)
Simplify.
15x+20y=0,15x−9y=−174
Subtract 15x−9y=−174 from 15x+20y=0 by subtracting like terms on each side of the equal sign.
15x−15x+20y+9y=174
Add 15x to −15x. Terms 15x and −15x cancel out, leaving an equation with only one variable that can be solved.
20y+9y=174
Add 20y to 9y.
29y=174
Divide both sides by 29.
y=6
Substitute 6 for y in 5x−3y=−58. Because the resulting equation contains only one variable, you can solve for x directly.
5x−3×6=−58
Multiply −3 times 6.
5x−18=−58
Add 18 to both sides of the equation.
5x=−40
Divide both sides by 5.
x=−8
The system is now solved.
x=−8,y=6
Coordinates are: (-8,6)
Graph:
Answer:
d ≈ 29.99 cm
Step-by-step explanation:
The volume of a cylinder can be calculated by the formula V = pi * r^2 * h.
V = pi * r^2 * h
We know the volume and the height, so we can use the formula to determine the radius, which can be used to determine the diameter.
4239 = pi * r^2 * 6 (I will add the units later | Divide both sides by 6)
706.5 = pi * r^2 (Divide both sides by pi)
706.5/pi = r^2 (Take the square root of both sides)
sqrt (706.5/pi) = r (r is the radius)
r ≈ 14.99619733762023
The diameter will be double this value.
d ≈ 29.99239467524046
d ≈ 29.99 cm
Answer:
y = 6x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6 and given point (0, 4 ) ⇒ c = 4
y = 6x + 4 ← equation of line
90
Plug in 7 for x and solve.



