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zysi [14]
3 years ago
6

Find the equation (in terms of x) of the line through the points (-2,3) and (4,-9) y =

Mathematics
2 answers:
ss7ja [257]3 years ago
6 0

Answer:  y = -2x - 1

Step-by-step explanation:

We can calculate the slope from the two given points.  Slope is the change in y per the change in x, sometimes called the rise (y) over the run (x)

Rise is (-9 -3) = -12

Run is (4 - (-2)) = 6

Slope = Rise/Run = -12/6 = -2

The line is y = -2x + b

Find b by using either of the two known points (solutions).  I'll choose (-2,3) [because I like smaller numbers]

y = -2x + b

3 = -2*(-2) + b

b = -1  [That was only slightly easier than -9 = -2*(4) + b; b = -1]

The equation is y = -2x - 1

shepuryov [24]3 years ago
3 0

Answer:

y =5

Step-by-step explanation:

m=

−9−7

5−5

=

−16

0

=0

y=mx+b

5=(0)(7)+b

b=5

therefore y = 5

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Sec(x)-tan(x)=1/sec(x)+tan(x)
Rama09 [41]

Answer:

Step-by-step explanation:

I assume that you mean

sec(x)-tan(x) = 1 / ( sec(x) + tan(x) ) , right ?

then this is equivalent to

[ sec(x) - tan(x) ] x [ sec(x) + tan(x) ] = 1

let s evaluate it, we got

sec2(x) - sec(x)tan(x) + - sec(x)tan(x) - tan2(x) = sec2(x) - tan2(x)

= (1 - sin2(x) ) / cos2(x) = cos2(x) / cos2(x) = 1

as cos2(x) + sin2(x) = 1

3 0
3 years ago
Please help me solve this angle problem. It is due today!
Paul [167]
Answer: B
No explanation
7 0
3 years ago
Sabrina rides her bike 2 miles to school each day she leaves her house 7:30 and arrives at 7:50 What is Sabrina's average speed
MakcuM [25]

6 mph.

To find this, create a ratio.

2/20 = x/60

This will allow you to compare here time of twenty minutes to an hour in the same context.

Multiply 2 by 60 and divide by 20 to get the answer of 6 mph.

Thus, Sabrina's average speed in miles per hour is six miles per hour.

Hope this helps!

7 0
3 years ago
A robot that makes _/8 of a boat per day will make 7 boats in 8 days
Sidana [21]
7/8 boats per day will make it
8 0
3 years ago
The team mascot shoots a rolled T-shirt from a special T-shirt cannon to a section of people in the stands at a basketball game.
Svet_ta [14]
For this parabola we have:
f ( 0 ) = 8
and : f ( 1 ) = 24
In the first equation ( A) :
f ( 0 ) = - 16 * ( 0 - 1 )² + 24 = - 16 * 1 + 24 = 8 ( correct )
f ( 1 ) = - 16 * ( 1 - 1 )² + 24 = 24  ( correct )
For B:
f ( 0 ) = - 16 * ( 0 + 1 )² + 24 = - 16 + 24    = 8  ( correct )
f ( 1 ) = - 16 * ( 1 + 1 )² + 24 = - 16 * 4 + 24 = - 64 + 24 = 40 ( false )
For C:
f ( 0 ) = - 16 * ( 0 - 1 )² - 24 = - 16 - 24 = - 40 ( false )
f ( 1 ) = - 16 * ( 1 - 1 )² - 24 = - 24  ( false )
For D:
f ( 0 ) = - 16 * ( 0 + 1 )² - 24 = - 16 - 24 = - 40 ( false )
f ( 1 ) = - 16 * ( 1 - 1 )² - 24 = - 24   ( false )
Answer:
A )  f ( t ) =  - 16 * ( t - 1 )² + 24
   

6 0
3 years ago
Read 2 more answers
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