C.) A <span>dilation with a scale factor of 4, with center of dilation at the origin
Here, You can either draw the figure or compare the coordinates,
B = (4, 4) then B' = (1, 1)
C = (-4, 4) then C' = (-1, 1)
D = (-4, -4) then D' = (-1, -1)
E = (4, -4) then E' = (1, -1)
So, Every coordinate is reducing by 4th factor... Hence, dilation factor is 4 about the origin
Hope this helps!</span>
Answer:
First option: 10 - (1) = 9
Second option: 10 - 5 + 4 = 5 + 4 = 9
Step-by-step explanation:
(10 -5) -4 = 5 - 4 = 1
Equivalent equation: 10 - 5 - 4 = 1
10 - (5-4) = there would be 2 ways to do this, you can either solve the equation in the bracket first or break it out. Because the sign before the bracket is minus so when you break it out, the minus sign in the bracket would become -- or equal to +
First option: 10 - (1) = 9
Second option: 10 - 5 + 4 = 5 + 4 = 9
Hope this help you:3
Answer:
how sid jame even get 64p bacteria cells like bro that cant be on exact he'd be 1000 years old if he knew exactly how much there was
Answer:
a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Step-by-step explanation:
Let l = the original length of the original rectangle
Let w = the original width of the original rectangle
From the description of the problem, we can construct the following two equations
l=2*w (Equation #1)
(l+4)*(w+4)=l*w+88 (Equation #2)
Substitute equation #1 into equation #2
(2w+4)*(w+4)=(2w*w)+88
2w^2+4w+8w+16=2w^2+88
collect like terms on the same side of the equation
2w^2+2w^2 +12w+16-88=0
4w^2+12w-72=0
Since 4 is afactor of each term, divide both sides of the equation by 4
w^2+3w-18=0
The quadratic equation can be factored into (w+6)*(w-3)=0
Therefore w=-6 or w=3
w=-6 can be rejected because the length of a rectangle can't be negative so
w=3 and from equation #1 l=2*w=2*3=6
I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.
Answer: 22.59 yd^3
Step-by-step explanation:
First the volume of a cuboid whose measurements are:
L = length, W = width and T = thiknes is:
V = L*W*T.
We want to calculate the volume of a shape that is:
10'' thick, 18' wide and 42' long.
This notation is:
(') = feet
('') = inches
The first step is to write our 3 numbers in the same units, then we can use that:
1 inch = 0.083 ft.
Then 10 inches are equal to:
10'' = 10*(0.083 ft) = 0.83 ft = 0.83'
Then the volume of concrete needed will be:
V = 0.83ft*18ft*42ft = 627.48 ft^3
But we want this expressed in yd^3
1ft = 0.33 yd
then
1ft^3 = (0.33 yd)^3 = 0.036 yd^3
then 627.48 ft^3 can be written as:
627.48 ft^3 = 627.48*( 0.036 yd^3) = 22.59 yd^3
