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r-ruslan [8.4K]

3 years ago

15

What is the slope of the line that passes through the points (5,-4) and (7,-4).

1 answer:

Lana71 [14]3 years ago

4 0

Answer:

the slope is 0

Step-by-step explanation:

the slope is zero because to find the slope the equation is the second y - the first y over the second x - the first x to it would be -4 - -4 which is 0 over 7-5 which is 2 so it would be 0/2 and that is 0. You can also tell because if you mark them down on a graph, the line would be completely horizontal with a slope of 0

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Please help i beg i never get these right

Anuta_ua [19.1K]

Answer:

$\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}$

Step-by-step explanation:

Given

$\sin(105^o)$

Required

Solve

Using sine rule, we have:

$\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)$

This gives:

$\sin(105^o) = \sin(60 + 45)$

So, we have:

$\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)$

In radical forms, we have:

$\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}$

$\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}$

Take LCM

$\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}$

Rewrite as:

$\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}$

Hence:

$\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}$

3 0

2 years ago

What type of function is represented by the table of values below?<br> 8<br> 12<br> 16<br> 20

Dominik [7]

Answer:

To be precise, I think it's a pattern question, where you have to add 4 to each number. I'm not very sure though.

8 0

3 years ago

Which equation can you use to find the value of x?

klemol [59]

Answer:

$3x=78+(x-2)$

Step-by-step explanation:

The complete question in the attached figure

we know that

The <u><em>Triangle Exterior Angle Theorem</em></u> states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

In this problem

$3x=78+(x-2)$

solve for x

$3x=76+x\\3x-x=76\\2x=76\\x=38^o$

3 0

3 years ago

Which numbers are the extremes of the proportion shown below?

wolverine [178]

Answer:

A 3 and 8

Step-by-step explanation:

if a/b=c/d, the extremes are "a" and "d". The means would then be "b" and "c"

8 0

2 years ago

A computer programmer earned $1043 a week last year. What was her yearly salary?

Arturiano [62]

1043
x 52
--------
2086
52150
----------
54236

He/She will earn $54,236 a year

5 0

3 years ago