A. 6a4b2
B. 2a4b7
C. 4a2b2
D. 3a4b
Answer:
D.
Step-by-step explanation:
We have: in order to simplify this expression, we have to apply the rule of the exponents.
This rule says that:
If you have the same base, the exponents can be added.
We can rewrite the expression as
Then we have:
Finally:
The correct option is D.
Answer:
6
Step-by-step explanation:
15 x 2/5
Then cross factor
Answer:
Step-by-step explanation:
So we are given two values:
They can be interpreted as: (4,9) and (-11,k).
So, we want to find the value of k such that the slope of the line between the two points would be 5.
Recall the slope formula. It is:
Let (4,9) be x₁ and y₁ and let (-11,k) be x₂ and y₂. Substitute 5 for m. Therefore:
Simplify the denominator:
Multiply both sides by -15. The right side cancels:
Now, add 9 to both sides. The right side cancels.
Therefore, k is -66.
0 1
0 2
What are the solutions to the equation?
Answer:
Step-by-step explanation:
● 4x = 32 - x^2
Add x^2 to both sides
● 4x +x^2 = 32 -x^2+x^2
● x^2 +4x = 32
Substract 32 from both sides
● x^2+4x -32 =32-32
● x^2 +4x-32=0
That is a quadratic equation
We will use the determinant method
The determinant is b^2-4ac
● a = 1
● b = 4
● c = 32
● b^2-4ac = 4^2 -4×1×(-32) = 144
144 is positive so the parabola will cross the x-axis two times
● x = (-b -/+ √(b^2-4ac))/2a
● x = (-4 +/- 12) /2
● x = 8/2 or x= -16/2
● x = 4 or x =-8
The solutions are 4 and -8
Answer:
x=4 orx=- 8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4
x
=
−
x
2
+
32
Step 2: Subtract -x^2+32 from both sides.
4
x
−
(
−
x
2
+
32
)
=
−
x
2
+
32
−
(
−
x
2
+
32
)
x
2
+
4
x
−
32
=
0
Step 3: Factor left side of equation.
(
x
−
4
)
(
x
+
8
)
=
0
Step 4: Set factors equal to 0.
x
−
4
=
0
or
x
+
8
=
0
x
=
4
or
x
=
−
8