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3 years ago

Determine a rule for the table below.

Mathematics

1 answer:

Strike441 [17]3 years ago

4 0

Answer: friend?...

Step-by-step explanation:...

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The equation of line t is y = -2x + 9. Perpendicular to line t is line u, which passes through

Archy [21]

Answer:

Equation of line u in slope-intercept form is: $\mathbf{y=\frac{1}{2}x+9 }$

Step-by-step explanation:

Equation of line t : y = -2x + 9.

We need to find equation of line u, which is perpendicular to line t and passes through point (-10,4)

The equation must be in slope-intercept form.

The general equation of slope-intercept form is: $y=mx+b$ where m is slope and b is y-intercept

Finding Slope:

If two lines are perpendicular, their slopes are opposite i.e $m=-\frac{1}{m}$

Slope of line t: y=-2x+9 we get m =-2 (Comparing with general form y=mx+b, we get m =-2)

Slope of line u: $\frac{1}{2}$

So, we get Slope of line u: m= $\frac{1}{2}$

Finding y-intercept:

Using slope m= $\frac{1}{2}$ and point(-10,4) we can find y-intercept

$y=mx+b\\4=\frac{1}{2}(-10)+b\\4=-5+b\\b=4+5\\b=9$

Equation of line u:

So, equation of line u, having slope m= $\frac{1}{2}$ and y-intercept b=9, we get:

$y=mx+b\\y=\frac{1}{2}x+9$

So, Equation of line u in slope-intercept form is: $\mathbf{y=\frac{1}{2}x+9 }$

4 0

3 years ago

The measure of angle θ is 3pi/2 . The measure of its reference angle is /, and tan θ is .

Sphinxa [80]

Answer:

Reference angle: $\frac{\pi}{2}$

$tan(\theta)=tan(\frac{3\pi}{2})$ is not defined.

Step-by-step explanation:

The angle $\theta$ goes from the positive x-axis to the negative y-axis.

Therefore the reference angle can be calculated as following:

$\frac{3\pi}{2}-\pi=\frac{\pi}{2}$

We know that $tan(\theta)$ is:

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

If $\theta=\frac{3\pi}{2}$ then $cos(\frac{3\pi}{2})=0$ , therefore $tan(\frac{3\pi}{2})$ is not defined, because the division by 0 is not defined.

8 0

3 years ago

Simplify a^15/ a^5<br> Pleaaaaseeeeee

FromTheMoon [43]

When you divide the same value raised to different powers keep the value and subtract the powers.

A^15 / a^5 = a ^(15-5) = a^10

7 0

3 years ago

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20 POINTS!!! PLS HELP <3<br> Please write it in your own words.

svetlana [45]

A) point (8.28)
the time is 8 minutes
28 is the water level which is 28 cm

b) 3.5
the function for the situation is y=3.5x

the slope of the function is equal to the value of the unit rate

8 0

3 years ago

The range for the set of data represented by the following box-and-whisker plot is 8.

DIA [1.3K]

Answer:

True

Step-by-step explanation:

<u>The range is the difference between the lowest and the highest values of the set:</u>

19 - 11 = 8

The answer is TRUE

3 0

3 years ago

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