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Lina20 [59]
2 years ago
6

What is the equation of a line, in point-slope form, that passes through (-8, 1) and has a slope of 5/6?

Mathematics
1 answer:
max2010maxim [7]2 years ago
5 0

Answer:

y-1=\frac{5}{6}(x+8)

Step-by-step explanation:

1. y-y1=m(x-x1) (point slope form)

2. y1 is the y of your given point and x1 is the x of your given point

3. m is the slope

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PLEASE HELP Select from the drop-down menus to correctly complete the sentence.The
Ahat [919]

Answer:

The probability of a event is a number between 0 and 1 or 1 and 10 or 1 and 100.

Step-by-step explanation:

The correct answer is - The probability of a event is a number between 0 and 1 or 1 and 10 or 1 and 100.

Reason -

Probability - It is a number between 0 and 1

Sample space - All the possible outcomes of an experiment.

Outcome - One of the individual results that can occur in an experiment.

Event: A subset of the sample space

Compound event : A event with more than one outcome.

4 0
2 years ago
First I will build the envelope. For this, I am using a rectangular piece of material 28m long and 12m wide. Out of this materia
RUDIKE [14]

Answer:

3.728 cm²

90

Step-by-step explanation:

To built the envelope I am using a rectangular piece of material 28 m long and 12 m wide.  

Out of this material, I have to cut patches that are 1/12 the length and 2/15 the width of the whole material.

So, the length of the patches is 28 \times \frac{1}{12} = 2.33 m and the width of the patches is 12 \times \frac{2}{15} = 1.6 m.

Therefore, the area of the patches is (1.6 × 2.33) = 3.728 m² each. (Answer)

Now, the area of the rectangular piece of material is (28 × 12) = 336 m²

Hence, \frac{336}{3.728} = 90.37 ≈ 90 such patches can be made out of the whole material. (Answer)

3 0
3 years ago
A cyclist cycles a distance of 40 miles in a time of 2 hours. what is her average speed?
snow_lady [41]

Answer:

see this and it by your own

Step-by-step explanation:

How do you find average speed with distance and time?

Divide the distance by the time.

This will give you the average speed per unit of time, usually hour. So, if Ben traveled 150 miles in 3 hours, his average speed is 50 miles per hour

How do you find average speed with hours and minutes?

How to calculate average speed. Speed is distance divided by time. Simply put, if you drove 60 kilometer's for one hour, it would look like this: Speed = distance (60 km) / time (1 hour) = 60km/h.

6 0
3 years ago
If f(x)=1/6x+12, then f^-1(x)=<br> PLEASE HELP
Finger [1]

f(x)=\dfrac{1}{6}x+12\to y=\dfrac{1}{6}x+12


Change x to y, and y to x.


x=\dfrac{1}{6}y+12


solve for y:


\dfrac{1}{6}y+12=x\ \ \ |-12\\\\\dfrac{1}{6}y=x-12\ \ \ \ |\cdot6\\\\y=6x-72


Your answer is:


f^{-1}(x)=6x-72

5 0
2 years ago
In the figure, PA and PB are tangent to circle O and PD bisects ∠BPA . The figure is not drawn to scale. For m
Mademuasel [1]

Angle AOC = 46°   Find angle BPO

We have congruent right triangles PAO and PBO, right angles A and B.

So AOC=BOC=46 degrees,

PBO is a right angle so BPO is complementary to BOC, so 42 degrees

Answer: 42 degrees

3 0
2 years ago
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