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Juli2301 [7.4K]

2 years ago

11

Write the equation of the line that passes through the point (-2,7)and has a slope of -5

1 answer:

swat322 years ago

8 0

Answer:

y = -2x - 3

Step-by-step explanation:

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A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sa

Helga [31]

Answer:

The answer is "It would decrease, but not necessarily by 8%".

Step-by-step explanation:

They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.

6 0

3 years ago

HURRRY PLEASE ANSWER I ONLY HAVE 5 MINN which expressions are equivalent to - 72 + (-6.5) + 2.5z + 4y - 1.5

STALIN [3.7K]

Answer:

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Step-by-step explanation:

8 0

2 years ago

Solve the following equation:

Rama09 [41]

Complete the square.

$z^4 + z^2 - i\sqrt 3 = \left(z^2 + \dfrac12\right)^2 - \dfrac14 - i\sqrt3 = 0$

$\left(z^2 + \dfrac12\right)^2 = \dfrac{1 + 4\sqrt3\,i}4$

Use de Moivre's theorem to compute the square roots of the right side.

$w = \dfrac{1 + 4\sqrt3\,i}4 = \dfrac74 \exp\left(i \tan^{-1}(4\sqrt3)\right)$

$\implies w^{1/2} = \pm \dfrac{\sqrt7}2 \exp\left(\dfrac i2 \tan^{-1}(4\sqrt3)\right) = \pm \dfrac{2+\sqrt3\,i}2$

Now, taking square roots on both sides, we have

$z^2 + \dfrac12 = \pm w^{1/2}$

$z^2 = \dfrac{1+\sqrt3\,i}2 \text{ or } z^2 = -\dfrac{3+\sqrt3\,i}2$

Use de Moivre's theorem again to take square roots on both sides.

$w_1 = \dfrac{1+\sqrt3\,i}2 = \exp\left(i\dfrac\pi3\right)$

$\implies z = {w_1}^{1/2} = \pm \exp\left(i\dfrac\pi6\right) = \boxed{\pm \dfrac{\sqrt3 + i}2}$

$w_2 = -\dfrac{3+\sqrt3\,i}2 = \sqrt3 \, \exp\left(-i \dfrac{5\pi}6\right)$

$\implies z = {w_2}^{1/2} = \boxed{\pm \sqrt[4]{3} \, \exp\left(-i\dfrac{5\pi}{12}\right)}$

3 0

1 year ago

How to solve 4(2x-7)-2×=-10 step by step

KATRIN_1 [288]

Answer: x=3

Step-by-step explanation:

4(2x-7)-2x=-10

Multiply 4 with 2x and -7

8x-28-2x=-10

Add like terms which are 8x and -2x

6x-28=-10

Add 28 to both sides so the -28 cancels out

6x=18

Divide both sides by 6 to isolate the x

Answer= x=3

6 0

2 years ago

fred purchased 6 shirts on friday. kyle purchased 4 shirts and a pair of shorts for $25. they paid the same amount for each shir

Mars2501 [29]

Answer:

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3 0

3 years ago