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Cloud [144]
3 years ago
11

A line that passes throught the points (2,-3) and (b,7) is parallel to the line y=-2x+17. find the value of b

Mathematics
1 answer:
mash [69]3 years ago
8 0
Gradient of the line = -2,
using gradient formula, b = -3
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Two angles are complementary. One angle is 5 times as large as the other. What is the measure of each angle?​
Fantom [35]

Answer:

15 and 75

Step-by-step explanation:

complementary - add up to 90 degrees

x+5x=90 degrees

6x=90 degrees

x=90/6

x=15

15*5=75

8 0
3 years ago
1. I am looking into a fish tank. I see 5 red fish for every 2 blue fish. If there are 22 red fish,
stellarik [79]

Answer:

11?

Step-by-step explanation:

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3 years ago
Read 2 more answers
The cosine of 23° is equivalent to the sine of what angle
Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

\cos(90^\circ-x)=\sin(x)

or

\sin(90^\circ-x)=\cos(x)

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0
3 years ago
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kodGreya [7K]

Answer: I forgot i remember the answer in my head I forgot..

Step-by-step explanation:

5 0
2 years ago
X^2 -2x-24 factored completely
Dvinal [7]

Answer:

(x - 6)(x + 4)

Step-by-step explanation:

x^2 -2x-24

-24 = -6 * 4

- 6 + 4 = -2

So

x^2 -2x-24 = (x - 6)(x + 4)

5 0
3 years ago
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