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blondinia [14]
3 years ago
11

Rules for exponents help?

Mathematics
1 answer:
JulijaS [17]3 years ago
5 0

Your given expression has no "b", so you can rule out selections b, c, e.

The expression is not equal to 1, so you can rule out selection a.

That leaves selection d, which is the correct choice:

... d. 1/x^a

_____

The rule for exponents is that an exponent in the numerator is the same as its opposite in the denominator, and vice versa.

The exponent of <em>-a</em> in the numerator is the same as an exponent of <em>a</em> in the denominator.

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Question 11 of 25
Greeley [361]

Answer:

D

Step-by-step explanation:

first multiply both sides by 12

collect like terms

x/12×12+3×12<=7×12

x+36<=84

x<=84-36

x<=48

4 0
2 years ago
IF U SEE THIS PLZ HELP IM FAILING! 20 POINTS AND WILL MARK BRAINLIEST!
marshall27 [118]

Answer:

mc013-1.j pg

Step-by-step explanation:

The answer is A

6 0
3 years ago
Read 2 more answers
The outer and inner triangles are both equilateral and the circle touches all three sides of the outer triangle. If the area of
Brrunno [24]

Answer:

The area of outer Δ = 40 cm²

Step-by-step explanation:

∵ Area of the small triangle = 10 cm²

If we join the center of the circle with the 3 vertices of the inner Δ

These 3 segments are the radii of the circle

Now the inner triangle has 3 isosceles Δ their sides are r , r and s1 with vertex angle 120° ⇒ (360° ÷ 3 = 120°)

Where r is the radius of the circle and s1 is the side of the inner triangle

<em>By using cosine rule</em>

(s1)² = r² + r² - 2r²cos120 = r² + r² - 2r² (-0.5) = r² + r² + r² = 3r²

∴ s1 = r√3

∵ The radius of the circle ⊥ to the side of the outer Δ because the side of the outer Δ is a tangent to the circle

If we join a vertex of the outer Δ with the center of the circle

We will have a right angle triangle of two legs r and half s2 with angle 60° (120° ÷ 2 )between them ⇒ s2 is the side of outer Δ

∴ tan 60° = 1/2 (s2) ÷ r ⇒ √3 = 1/2 (s2) ÷ r = (s2)/2r

∴ s2 = 2r√3

∴ s2 : s1 = 2r√3 ÷ r√3 = 2 : 1

∴ The side of the outer Δ is double the side of the inner Δ

<em>By using similarity ratio</em>

A2/A1 = (s2/s1)² ⇒ A2 and A1 are the areas of outer and inner triangles

∴ A2 : A1 = (2/1)² = 4/1  

∴ A2 = 4 A1

∴ A2 = 4 × 10 = 40 cm²

5 0
3 years ago
Please help with this!
egoroff_w [7]

Answer:

u gotta divide the 7.5% and the other number that is says (can see the question but there)

8 0
3 years ago
if light bulbs are 4 for $2.00 , how much will 12 light bulbs cost , round to the nearest cent if necessary?
Rufina [12.5K]
If 4 are $2.00 , then x3 to get 12 light bulbs and 2x3=6 so it's $6.00
8 0
3 years ago
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