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3 years ago

!50 point question! Find x and explain how you found it!

Mathematics

1 answer:

STatiana [176]3 years ago

4 0

Answer:

$\sf x = 60^{\circ \:}$

given:

adjacent side: 10
hypotenuse side: 20

using cosine rule:

$\hookrightarrow \sf cos(x) = \dfrac{adjacent}{hypotense}$

$\hookrightarrow \sf \sf cos(x) = \dfrac{10}{20}$

$\hookrightarrow \sf \sf x = cos^{-1}(\dfrac{10}{20} )$

$\hookrightarrow \sf \sf x = 60^{\circ \:}$

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Write the equation of a line that passes through the point (1,2) and (3,10)

Anna35 [415]

Answer:

the equation for the line that passes through (1,2) and (3,10) is

$y = 4x - 2$

Explaination:

1) Apply the slope formula: y^2 - y^1 divided by x^2 - x^1.

2) y^2 is 10

y^1 is 2

x^2 is 3

x^1 is 1

3) 10 - 2 = 8

3 - 1 = 2

8/2 = 4

Slope: 4

Equation: y = 4x + b

4) Replace y with either y^2 or y^1, and replace x with either x^2 or x^1.

5) 10 = 4(3) + b

6) 10 = 12 + b

7) subtract 12 from both sides.

-2 = b

y-intercept: -2

equation: y= 4x - 2

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3 years ago

Explain why the polynomial 144x2 − 200x + 81 is not a perfect square.

Alex Ar [27]

Answer: It's not

Step-by-step explanation:

A perfect square is always $(x+y)^{2}$ , where $x^{2} +2xy+y^{2}$ .

Knowing this, we can square root 144x to get 12x. Square rooting 81 gets us 9. Unfortunately, if we multiply 12 and 9 together, then double it, we get 216, which is definitely not 200.

Therefore, the polynomial is not a perfect square.

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2 years ago

Each question on a multiple-choice exam has four choices. One of the choices is correct, worth four points. Another choice is wr

kifflom [539]

Answer:A)0.75

Step-by-step explanation:

Given

There are four options to a question

out of which one is correct with 4 points

one is wrong but carries 1 point

Other two are wrong with a negative Point

Probability of selecting an option is $\frac{1}{4}$

Expected score $=\frac{1}{4}\times 4+\frac{1}{4}\times 1+\frac{1}{4}\times (-1)+\frac{1}{4}\times (-1)$

Expected score=1+0.25-0.5

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3 years ago

Please help with questions 1d and e

Aleksandr-060686 [28]

(d) $\frac{75}{2}$ , $\frac{75}{4}$ , $\frac{75}{8}$

(e) 68, 82, 96

(d) note that the terms have a common ratio ( r )

r = $\frac{300}{600}$ = $\frac{150}{300}$ = $\frac{1}{2}$

to obtain any term in the sequence, multiply the previous term by $\frac{1}{2}$

75 × $\frac{1}{2}$ = $\frac{75}{2}$

$\frac{75}{2}$ × $\frac{1}{2}$ = $\frac{75}{4}$

$\frac{75}{4}$ × $\frac{1}{2}$ = $\frac{75}{8}$

(e) note that the terms have a common difference (d )

d = 26 - 12 = 40 - 26 = 54 - 40 = 14

to obtain any term in the sequence, add 14 to the previous term

54 + 14 = 68

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3 years ago

What is the coordinate point of this equation?

WITCHER [35]

Answer:

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2x + y = -2 } we eliminate 2x

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-3y = -6

-3 -3

y = 2 (x , 2) we reserve

2x + (2) = -2 we take on the first equation and replace 2 on a coordinate for y

2x = -2 - 2

2x = -4

2 2

x = -2 (-2,2)

x y

4 0

3 years ago

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