All categories

3 years ago

Write an equation of the line that passes through (3,2), and is perpendicular to the line

Mathematics

1 answer:

frutty [35]3 years ago

8 0

Step-by-step explanation:

step 1. perpendicular lines have negative reciprocal slopes

step 2. perpendicular to m = 1/3 is the slope m = -3/1 or m = -3

step 3. a line through (3, 2) with m = -3 is y - 2 = -3(x - 3)

step 4. y - 2 = -3x + 9

step 5. y = -3x + 11.

You might be interested in

*BRAINIEST & 20 POINTS* !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

kondor19780726 [428]

Answer:

8 = x

y = 29

Step-by-step explanation:

4x + 17 = y + 20 because vertical angles theorem.

y + 20 = 5x + 9 because interior angles theorem.

4x + 17 = 5x + 9 because same side interior angles theorem.

Subtract 9 from both sides and subtract 4x from both sides.

8 = x

Plug 8 in for x and solve.

5 times 8 is 40, plus 9 equals 49. Subtract 20 from both sides and you get 29.

5(8) + 9 = y + 20

49 = y + 20

29 = y

I hope this helps!

#teamtrees #WAP (Water And Plant)

5 0

2 years ago

Read 2 more answers

In 1967, New Zealander Burt Munro set the world record for an Indian motorcycle, on the Bonneville Salt Flats in Utah, with a ma

bagirrra123 [75]

Answer:49 sec

Step-by-step explanation:

Given

Maximum speed to reach is 183.58 mi/h

Length of course is 5 mi

acceleration rate is defined by 60mi/h in 4 sec

therefore acceleration(a) $=\frac{v-u}{t}$

$a=\frac{60\times 60\times 60}{4}$

$a=54\times 10^3 mi/h^2$

To reach a speed of 183.58mi/h with an acceleration of $54\times 10^3 mi/h^2$

Using equation of motion

v=u+at

$183.58=0+(54\times 10^3)t$

$t=\frac{183.58}{54\times 10^3}$

t=0.00339 hours

t=12.23 s reach maximum speed

To complete course it takes

$s=ut+\frac{1}{2}at^2$

$5=0+\frac{1}{2}\times 54\times 10^3 \times t^2$

t=0.01360 hour

or $t=48.98\approx 49 s$

7 0

3 years ago

100 is what percent of 250?

alisha [4.7K]

Answer:

100 is 40% of 250

Step-by-step explanation:

1. We assume, that the number 250 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 250, so we can write it down as 100%=250.

4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.

5. Now we have two simple equations:

1) 100%=250

2) x%=100

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=250/100

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100 is what percent of 250

100%/x%=250/100

(100/x)*x=(250/100)*x - we multiply both sides of the equation by x

100=2.5*x - we divide both sides of the equation by (2.5) to get x

100/2.5=x

40=x

x=40

now we have:

100 is 40% of 250

6 0

3 years ago

Read 2 more answers

The circumference of a circle is C centimeters. The diameter of the circle is 12 centimeters. Which expression best represents t

Feliz [49]

It’s D because 12/2=6
i think thats right

7 0

3 years ago

Read 2 more answers

Paulo catches a 7.45 am tram to school. During a period of 79 days, he arrives at school on time 53 occasions. Estimate the prob

lawyer [7]

Answer:

On time: 0.67

Late: 0.33

Step-by-step explanation:

Probabilities

One approach to estimating the probability of occurrence of an event is to record the number of times that event happens (e) and compare it with the total number of trials (n).

The probability can be estimated with the formula:

$\displaystyle P=\frac{e}{n}$

And the probability that the event doesn't occur is

Q = 1 - P

Paulo arrives on time to school e=53 times out of n=79 times. The probability that he arrives on time is:

$\displaystyle P=\frac{53}{79}$

P = 0.67

And the probability he arrives late is:

Q = 1 - 0.67 = 0.33

4 0

3 years ago