Answer:
Step-by-step explanation:
Explanation:
Start by writing out your starting expression
x
2
−
5
x
2
+
5
x
−
14
−
x
+
3
x
+
7
Next, factor the denominator of the first fraction
x
2
+
5
x
−
14
x
2
+
7
x
−
2
x
−
14
x
(
x
−
2
)
+
7
(
x
−
2
)
(
x
−
2
)
(
x
+
7
)
Your expression is thus equivalent to
x
2
−
5
(
x
−
2
)
⋅
(
x
+
7
)
−
x
+
3
x
+
7
Since you have to subtract two fractions, you need to find the commonon denominator first. To do that, multiply the second fraction by
x
−
2
x
−
2
x
2
−
5
(
x
−
2
)
⋅
(
x
+
7
)
−
(
x
+
3
)
⋅
(
x
−
2
)
(
x
−
2
)
⋅
(
x
+
7
)
This will get you
x
2
−
5
−
(
x
+
3
)
(
x
−
2
)
(
x
−
2
)
(
x
+
7
)
x
2
−
5
−
x
2
−
x
+
6
(
x
−
2
)
(
x
+
7
)
=
1
−
x
(
x
−
2
)
(
x
+
7
)
try this for answer (11×3.5)-9=x
There are six ways in which the word FOOT may be spelt starting at any letter.
<h3>What is combination?</h3>
The term combianntion offers a plausible way to carry out a selection as long as we do not give preference to the order in which the selection is made. In this case, we are told that we can start from any letter therefore order is not important.
There are four letters in FOOT and one letter is repeated twice therefore;
4C2 = 4!/(4-2)! 2!
4C2 = 4 * 3 * 2!/2! * 2 * 1
4C2 = 12/2
4C2 = 6
Learn more about combination: brainly.com/question/25351212
Answer:
segment EH and segment E prime H prime both pass through the center of dilation.
Step-by-step explanation:
Center of dilation is point (0.1), same as H. Both, E(0,5) and H(0,1) are placed over y-axis, then E' and H' are also located at y-axis.
After dilation, H' is placed at (0,1) because it coincides with the center of dilation
Distance between E and center of dilation is 4 units, then E' should be at 4*3=12 units from the center of dilation and over y-axis. Therefore, E' is placed at (0, 13)
So, segment E'H' goes from (0,1) to (0,13), and pass through the center of dilation, like segment EH.
