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GREYUIT [131]
3 years ago
9

A system of linear equations is graphed. Which ordered pair is the best estimate for the solution to the system? (12, 0) (1, 1)

(12, 1) (13, 0) A system of 2 linear equations graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. First line passes through begin ordered pair 0 comma 2 end ordered pair and begin ordered pair 1 comma negative 1 end ordered pair. Second line passes through begin ordered pair 0 comma negative 1 end ordered pair and begin ordered pair 2 comma 2 end ordered pair.

Mathematics
2 answers:
omeli [17]3 years ago
7 0

WHELP.

Here's you're answer.

GuDViN [60]3 years ago
6 0
Line 1--------- >(0,2)     (1,-1)
y=mx+b         m=(-1-2)/(1-0)=-3
2=(-3)*(0)+b----- > b=2
y1=-3x+2

Line 2--------- >(0,-1)     (2,2)
y=mx+b         m=(2+1)/(2-0)=3/2
-1=(3/2)*(0)+b----- > b=-1
y2=(3/2)x-1

<span>using a graphic tool
see attached figure</span>

the best estimate solution for the system is <span>(1, 1) 
because </span>is the only one within the range of the x axis (-5,5) and the y axis (-5,5)

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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
Please help me <br><br>thank you ​
Sveta_85 [38]

Answer:

M

Hope this helps!

Take care!

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