Rewrite the expression in the form a^n a^5xa^-3
Answers
Answer: a^2
Work Shown:
I'm assuming the "x" means "multiply", and it is not a variable.
a^5 * a^(-3) = a^(5+(-3)) = a^(5-3) = a^2
The rule I'm using is
a^b*a^c = a^(b+c)
The base is always the same. We add the exponents.
The expression a^2 is in the form a^n with n = 2.
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Answers
2. The next theorem used is that adjacent angles in a parallelogram are supplementary.
3. The definition of supplementary angles is then used for angle formed by intersecting lines.
4. The theorem on vertical angles is used again.
5. Finally, the definition of the transitivity property is used to prove that alternate exterior angles are congruent.
Using the Corresponding Angles Theorem, Vertical Angles Theorem, and the Transitive Property of Congruence, we can prove that alternate exterior angles (e.g, <4 and <5) are congruent by the alternate exterior angles theorem.
Recall:
- Alternate exterior angles are angles that lie outside the two lines that is cut across by a transversal but on opposite sides along the transversal.
- Examples of alternate exterior angles are <2 and <7; <4 and <5 as shown in the figure attached below.
If we are given that in the diagram attached below, the following are theorems and definitions we can use to prove that
(alternate exterior angles).
Statement 1:
Reason: Corresponding Angles Theorem
The corresponding angles theorem states that when two parallel lines (lines m and n) are intersected by a transversal line (line w), the two corresponding angles formed (e.g. <4 and <8) are congruent.
Statement 2:
Reason: Vertical Angles Theorem
The Vertical Angles Theorem states that the opposite vertical angles (e.g. <8 and <5) formed when two lines (lines n and w) intersect are congruent to each other.
Statement 3:
Reason: Transitive Property of Congruence
The Transitive Property of Congruence states that if a = b; and b = c; then a = c.
Therefore, using the Corresponding Angles Theorem, Vertical Angles Theorem, and the Transitive Property of Congruence, we can prove that alternate exterior angles (e.g, <4 and <5) are congruent by the alternate exterior angles theorem.
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Answers
Hey there! :)
Answer:
-1/3.
Step-by-step explanation:
Find the slope of the line using the slope formula:
Use two points from the graph and plug them into the equation. We can use the points (0, 3) and (3, 2):
Simplify:
m = -1/3. This is the slope of the line.
Answers
2x - 4y = 4
----------------
6x + 4y = 28 (result of multiplying by 2)
2x - 4y = 4
----------------add
8x = 32
x = 32/8
x = 4
2x - 4y = 4
2(4) - 4y = 4
8 - 4y = 4
-4y = 4 - 8
-4y = -4
y = -4/-4
y = 1
solution is (4,1)
Answers
Answer:
48
Step-by-step explanation:
(9*4) + (6*2)
36 + 12
= 48
Step-by-step explanation:
no:questions=15
correct questions =9
marks for correct answers =9×4=36
incorrect answers=6
marks for incorrect answers =(-2)×6=(-12)
full marks =36 - (-12)
=36 + 12
=48
Answers
Answer:
8, 5, 3 are the numbers.
Step-by-step explanation:
Let the three numbers are x, y , and z.
out of which x is the largest and z is the smallest number.
Sum of three numbers is 16.
x + y + z = 16------(1)
The largest number is equal to the sum of the other two.
x = y + z --------(2)
3 times the smallest number is 1 more than the largest.
3z = x + 1 ---------(3)
Now we put the value of x from equation (2) to equation (1)
x + x = 16
2x = 16
x = 8
By putting x = 8 in equation (3)
3z = 8 + 1
3z = 9
z = 3
Now we put the values of x and z in equation (2)
8 = y + 3
y = 8 - 3
y = 5
Therefore, the numbers are 8, 5, 3.
:)
x = 8
Z = 7/3
y = 17/3
Thank you
Answers
6. 1.5 * 2.5 = 3.75; 3.75 * 3 = 11.25 so it 3.75*3
7.Really the only thing that can help you is plunging in the formula