Given:
The equation of a line is:
The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:
For 
,
For 
,
Divide both sides by 2.
The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then
Using this rule, we get
Similarly,
The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:
Multiply both sides by 2.
Therefore, the equation of the line after the dilation is .
Answer:
90428160.3 ft³
Step-by-step explanation:
The question is on volume of a pyramid with a square base
The formulae for volume of a pyramid is V=( l×w×h)/3
where l is length of pyramid base, w is width of pyramid base and h is the height of the pyramid
The pyramid has a square base thus l=w= 751 feet
The height of the pyramid is h=481 feet
v= (751×751×481)/3
v=90428160.3 ft³
This question is incomplete
Complete Question
Mariah and Clarence are planning for a dinner party. The grocery store is selling a 25- pound turkey for $60 . Mariah states, "that means it costs $2.40 per pound of turkey." Clarence states, "that means $2.4 pounds of turkey cost $1 Is Mariah's statement, Clarence's statement, both statements, or neither statement correct?
Answer:
Mariah's statement is correct
Step-by-step explanation:
Mariah and Clarence are planning for a dinner party. The grocery store is selling a 25- pound turkey for $60 .
From the statements given above, we are to find the unit rate . This means the cost of the turkey per pound
Hence, the calculation is given below:
25 pounds of turkey = $60
1 pound of turkey = x
Cross Multiply
25 × x = $60 × 1
x = $60/25
x = $2.40
1 pound of turkey cost $2.40
Therefore, Mariah's statement is correct
The sum of the inside angles of a 5 sided figure needs to equal 540 degrees.
Add all the angles together to equal 540 and solve for x. Once you have the value for x you can use that to figure out all the angles.
X-8 + 3x-11 + x + 8 + 2x + 7 + x = 540
Simplify by combing like terms:
8x - 4 = 540
Add 4 to both sides:
8x = 544
Divide both sides by 8:
X = 68
Now replace x with 68 in each angle and solve:
U = 68-8 = 60
V = 3(68)-11 = 204-11 = 193
W = 68 + 8 = 76
Y = 68
Z = 2(68) + 7 = 136 + 7 = 143
