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3 years ago

Find the coefficient of x^2 in the expression of (x - 7)^5. a. -3430 b. -3034 c. 3034 d. 3430

Mathematics

2 answers:

statuscvo [17]3 years ago

8 0

Find the coefficient of x^2 in the expression of (x - 7)^5.

a. -3430

MrRissso [65]3 years ago

3 0

Answer:

let me know when you have the anwser

Step-by-step explanation:

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Answer: 15

Step-by-step explanation:

Ratio is 1 inch:6 mile

2.5 inches divided by 1 inch equals 2.5 inches

2.5 inches times 6 equals 15

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2 years ago

What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth.

Tcecarenko [31]

Use the distance formula: $d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}$

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3 years ago

. If A = P + I, find l, when A= 4500 and P= 3750.

cestrela7 [59]

Answer:

Step-by-step explanation:

A = P + I

Putting values in the equation

4500 = 3750 + I

4500 / 3750 = I

1.2 = I

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2 years ago

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Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side

maria [59]

Answer:

cos(a + b) = $\frac{1}{12}(1-2\sqrt{30})$

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = $-\frac{1}{3}$

cos(b) = $-\frac{1}{4}$

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = $-\sqrt{1-(-\frac{1}{3})^2}$ [Since, sin(a) = $\sqrt{(1-\text{cos}^2a)}$ ]

= $-\sqrt{\frac{8}{9}}$

= $-\frac{2\sqrt{2}}{3}$

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.

sin(b) = $-\sqrt{1-(-\frac{1}{4})^2}$

= $-\sqrt{\frac{15}{16}}$

= $-\frac{\sqrt{15}}{4}$

By substituting these values in the identity,

cos(a + b) = $(-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})$

= $\frac{1}{12}-\frac{\sqrt{120}}{12}$

= $\frac{1}{12}(1-\sqrt{120})$

= $\frac{1}{12}(1-2\sqrt{30})$

Therefore, cos(a + b) = $\frac{1}{12}(1-2\sqrt{30})$

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3 years ago