Answer:
Option D
Step-by-step explanation:
Use the Pythagorean theorem to solve this question
a2+b2=c2
c2 is always the hypotenuse, which is what we have to solve.
3^2+ 5^2=
9+25=34
Now we have to square 34 and there is our answer
Answer:
185/27
Step-by-step explanation:
To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x
4
−2x
3
+3x
2
−2x+3 by g(x) and get the remainder as shown in the above image.
Hence,
27
185
should be subtracted from 3x
4
−2x
3
+3x
2
−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.
For this case what we have to take into account is the following variable:
x = represent the unknown number
We now write the following inequality:
"four times the sum of number and 15 is at least 20"
4 (x + 15)> = 20
We clear the value of x:
(x + 15)> = 20/4
(x + 15)> = 5
x> = 5 - 15
x> = - 10
The solution set is:
[-10, inf)
Answer:
all possible values for X are:
[-10, inf)
Answer:
12,581
Step-by-step explanation:
Multiply
2
2
by
5
5
.
x
5
+
10
x
4
+
10
x
3
⋅
2
2
+
10
x
2
⋅
2
3
+
5
x
⋅
2
4
+
2
5
x
5
+
10
x
4
+
10
x
3
⋅
2
2
+
10
x
2
⋅
2
3
+
5
x
⋅
2
4
+
2
5
Raise
2
2
to the power of
2
2
.
x
5
+
10
x
4
+
10
x
3
⋅
4
+
10
x
2
⋅
2
3
+
5
x
⋅
2
4
+
2
5
x
5
+
10
x
4
+
10
x
3
⋅
4
+
10
x
2
⋅
2
3
+
5
x
⋅
2
4
+
2
5
Multiply
4
4
by
10
10
.
x
5
+
10
x
4
+
40
x
3
+
10
x
2
⋅
2
3
+
5
x
⋅
2
4
+
2
5
x
5
+
10
x
4
+
40
x
3
+
10
x
2
⋅
2
3
+
5
x
⋅
2
4
+
2
5
Raise
2
2
to the power of
3
3
.
x
5
+
10
x
4
+
40
x
3
+
10
x
2
⋅
8
+
5
x
⋅
2
4
+
2
5
x
5
+
10
x
4
+
40
x
3
+
10
x
2
⋅
8
+
5
x
⋅
2
4
+
2
5
Multiply
8
8
by
10
10
.
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
5
x
⋅
2
4
+
2
5
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
5
x
⋅
2
4
+
2
5
Raise
2
2
to the power of
4
4
.
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
5
x
⋅
16
+
2
5
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
5
x
⋅
16
+
2
5
Multiply
16
16
by
5
5
.
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
80
x
+
2
5
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
80
x
+
2
5
Raise
2
2
to the power of
5
5
.
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
80
x
+
32
