Answer:
x=5.12
Step-by-step explanation:
35.16= 4.44+6x
30.72=6x
5.12=x
x=5.12
Hope this helps :)
Answer:
The area of triangle ACE before dilation is: 30 square inches
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
The length of the image can be determined by multiplying the length of the original point by a certain scale factor.
Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.
Thus, it means the dilated area is 6 times the area before dilation.
Let x be the pre-dilation area
As the dilated area is 6 times the area before dilation, so
6x = 180
divide both sides by 6
6x/6 = 180/6
x = 30 square inches.
Therefore, the area of triangle ACE before dilation is: 30 square inches
Answer:
28 hours
Step-by-step explanation:
Adena, Julius, and Tia volunteered to read to children at the public library.
Let us represent, the number of hours worked by
Adena = x
Julius = y
Tia = z
Julius worked two hours less than Tia.
y = z - 2
z = y + 2
Adena worked twice as many hours as Julius.
x = 2y
Altogether they worked 58 hours.
x + y + z = 58.... Equation 1
We substitute 2y for x and y + 2 for z in Equation 1
2y + y + y + 2 = 58
4y + 2 = 58
Collect like terms
4y = 58 - 2
4y = 56
y = 56/4
y = 14
We are the find the number of hours Adena worked which is represented by x
Note that:
x = 2y
y = 14, hence,
x = 2 × 14
x = 28 hours
Therefore, the number of hours Adena worked is 28 hours
This DE has characteristic equation

with a repeated root at r = 3/2. Then the characteristic solution is

which has derivative

Use the given initial conditions to solve for the constants:


and so the particular solution to the IVP is

Answer:
Which is the output of the formula =AND(12>6;6>3;3>9)?
A.
TRUE
B.
FALSE
C.
12
D.
9
Step-by-step explanation: