so I don't know but just use the internet
Answer:
answer below
Step-by-step explanation:
ABCDE go through dilation over center (6 , -2) with factor of 1/2 to FGHIJ
AB // FG slope: -2 , √20:√5 = 2: 1
BC // GH // X axis 8:4 = 2:1
CD // HI, slope= 1 , √8:√2 = 2:1
DE // IJ // x axis, 4:2 = 2:1
EA // JF // y axis, 2:1
The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft
<h3 />
<h3>Area of a rectangle:</h3>
where
l = length
w = width
She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,
lw = 1600
Therefore,
perimeter = 160 ft
Then,
perimeter of rectangle = 2(l + w)
160 = 2(l + w)
l + w = 80
Let's combine the equations
lw = 1600
l + w = 80
l = 80 - w
Therefore,
w(80 - w) = 1600
80w - w² = 1600
Therefore,
w² - 80w + 1600 = 0
w² - 40w - 40w + 1600 = 0
w(w - 40) - 40(w - 40) = 0
(w - 40)(w - 40) = 0
w = 40 or 40
Therefore, the dimensions can be calculated as follows:
lw = 1600
40l = 1600
l = 1600 / 40
l = 40 ft
Therefore, the dimensions are 40ft by 40 ft
learn more on algebraic model here: brainly.com/question/4151078
Density = mass / volume
So if we know the density and volume, make an algebraic equation of this.
4.1 = m ÷ 2.3
Multiply each side by 2.3.
9.43 = m
The mass is 9.43 grams, hope this helps!
Answer:
The length of the box is (x + 1)
The height of the box is (x + 1)
Step-by-step explanation:
The given function representing the volume of the box is presented as follows;
V = x³ + 6·x² + 9·x + 4
The function representing the width of the box, W = x + 4
Therefore, we have;
(x³ + 6·x² + 9·x + 4)/(x + 4) = x² + 2·x + 1
x³ + 4·x²
2·x² + 9·x + 4
2·x² + 8·x
x + 4
Therefore, we have;
(x³ + 6·x² + 9·x + 4) = (x + 4) × (x² + 2·x + 1) = (x + 4) × (x + 1) × (x + 1)
(x³ + 6·x² + 9·x + 4) = (x + 4) × (x + 1) × (x + 1)
The width of the box = (x + 4)
The length of the box = (x + 1)
The height of the box = (x + 1).
