Answer:
x = 79
Step-by-step explanation:
180 - 101 = x
x = 79
Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').
The dilation is therefore:
(x,y) ............> (x',y')
Now, let's assume that the dilation factor is k.
Therefore:
x' = kx
y' = ky
Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.
Example:
Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.
Assume the dilation coefficient is k.
(x,y) are (2,4) and (x',y') are (4,8)
Therefore:
x' = kx .........> 4 = k*2 ..........> k = 2
or:
y' = ky ..........> 8 = k*4 .........> k = 2
Based on the above, the dilation coefficient would be 2.
Hope this helps :)
Answer:
He would have a very soggy picture!
OR if you mean the pitcher holds one twelvth of a gallon, he will have 9/12 or 3/4 of a gallon.
OR if you mean the pitcher holds two twelvths of a gallon, he ends up with 9 × 1/6 which is one and a half gallons.
Step-by-step explanation:
Spelling is important! A "picture" could be a drawing, a photograph, or a painting.
"Pitcher" could be a container for pouring liquids or a player who pitches the ball in a baseball game.
I know you wanted math help, but it is difficult to answer if I can't tell whether "to" meant "two" or he filled the pitcher to pour twelvths.
Answer:
It depends on how many inches they are from the finish line.
Step-by-step explanation:
However, they will be at the same distance at 90 inches when Glenda hops 5 times. 18 x 5 = 90. Penny will also make it to 90 inches when she hops 6 times. 15 x 6 = 90. Then, you will subtract 90 inches from how long the race is in inches.
Hope this helps!
Slope: 7 given point: (1,8)
y = 7x + b step 1 - plug in the slope in the formula
8 = 7(1) + b step 2 - plug in the given point
8 = 7 + b step 3 - simplify the expression
b = 1 step 4 - solve for b
y = 7x + 1 step 5 - plug in b
formula: y = 7x + 1