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2 years ago

2/x^2 in indices form explanation. I know the answer is 2x^-2 but I want an explanation.

Mathematics

1 answer:

Misha Larkins [42]2 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

$\frac{1}{a^{m} }$ ⇔ $a^{-m}$ , then

$\frac{2}{x^2}$ = 2 × $\frac{1}{x^2}$ = 2 $x^{-2}$

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3 years ago

5/6=x-10/3x+6 solution?

Ivan

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = - 10}}}}}$

Step-by-step explanation:

$\sf{ \frac{5}{6} = \frac{x - 10}{3x + 6} }$

Apply cross product property

⇒ $\sf{5(3x + 6) = 6( x - 10)}$

Distribute 5 through the parentheses

⇒ $\sf{15x + 30 = 6( x - 10)}$

Distribute 6 through the parentheses

⇒ $\sf{15x + 30 = 6x - 60}$

Move 6x to left hand side and change it's sign

⇒ $\sf{15x - 6x + 30 = - 60}$

Collect like terms

⇒ $\sf{9x + 30 = - 60}$

Move 30 to right hand side and change it's sign

⇒ $\sf{9x = - 60 - 30}$

Calculate

⇒ $\sf{9x = - 90}$

Divide both sides of the equation by 9

⇒ $\sf{ \frac{9x}{9} = \frac{ - 90}{9} }$

Calculate

⇒ $\sf{x = - 10}$

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3 0

2 years ago

For questions 8 – 10, answer the questions about tangent-tangent angles.

olchik [2.2K]

Answer:

m(arc ZWY) = 305°

Step-by-step explanation:

8). Formula for the angle formed outside the circle by the intersection of two tangents or two secants is,

Angle formed by two tangents = $\frac{1}{2}(\text{Difference of intercepted arcs})$

= $\frac{1}{2}(220-140)$

= $\frac{1}{2}(80)$

= 40°

9). Following the same rule as above,

Angle formed between two tangents = $\frac{1}{2}(\text{Difference of intercepted arcs})$

125 = $\frac{1}{2}[m(\text{major arc})-m(\text{minor arc})]$

250 = $[m(\text{arc ZWY})-m(\text{arc ZY})]$

250 = m(arc ZWY) - 55

m(arc ZWY) = 305°

Therefore, measure of arc ZWY = 305° will be the answer.

10). m(arc BAC) = $\frac{1}{2}([m(\text{arc BDC})-m(\text{arc BC})])$

= $\frac{1}{2}(254-106)$

= $\frac{148}{2}$

= 74°

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2 years ago

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kirza4 [7]

If we think about a normal curve / bell curve and the 68-95-99.7 rule, we know that the majority of data will lie within 1, 2, or 3 standard deviations from the mean. The mean is in the center of the curve, and to each side of the mean, 34% of the data lies 1 standard deviation on either side of the mean. Therefore, we need to add and subtract one standard deviation from the mean.

85 + 12 = 97

85 - 12 = 73

Correct Answer: B. 73 - 97

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3 years ago

Hi I have my answer in I’m just confused and think it’s gonna be wrong so could u guys help me

Masteriza [31]

Answer:

I believe the first one is rotation And the second is ABC= DEF.

Step-by-step explanation:

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2 years ago