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olganol [36]
3 years ago
5

Through: (2,2), parallel to y=x+4

Mathematics
1 answer:
lana66690 [7]3 years ago
4 0

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have to, if two lines are parallel then their slopes are equal.

Given the line y = x + 4, with slopem_ {1} = 1. A parallel line will have slope m_ {2} = 1and its equation will be of the form:

y = x + b

We substitute the given point and find "b":

2 = 2 + b\\2-2 = b\\b = 0

Finally, the equation is:

y = x

Answer:

y = x

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Refer to the figure. Given a is parallel to be and 7 = 94, find the measure of the following angles.
IRINA_888 [86]
Answer :it is 9 tHere is ur answer
3 0
2 years ago
A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing
yawa3891 [41]

1. The formula expressing the dependence of the variable s on t is: s = 60 - 12t

2. the distance travelled at time t = 3.5 h is 18 Km

<h3>What is speed? </h3>

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

<h3>1. How to determine the formula expressing the dependence of the variable s on t</h3>

From the question given, bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km.

Thus, we shall determine the distance travel in time t as follow

  • Speed = 12 Km/h
  • Time = t
  • Distance in time t = ?

Speed = distance / time

12 = distance / t

Cross multiply

Distance = 12 × t

Distance in time t = 12t

But the total distance travelled is 60 Km. Thus, the remaining distance (s) from the bicyclist to the station at time (t) will be given as:

s = 60 - 12t

Thus, the formula expressing the dependence of the variable s on t is: s = 60 - 12t

<h3>2. How to determine the distance at t = 3.5 hours</h3>

The distance at t = 3.5 hours can be obtained as illustrated below:

  • Time (t) = 3.5 hours
  • Distance (s) = ?

s = 60 - 12t

s = 60 - (12 × 3.5)

s = 60 - 42

s = 18 Km

Thus, the distance travelled at t = 3.5 hours is 18 km

Learn more about speed:

brainly.com/question/680492

#SPJ1

6 0
1 year ago
a group of students is donating blood during a blood drive. a student has 9/20 probability of having type 'o' blood and a 2/5 pr
guajiro [1.7K]
For the answer to the question above,
the answer is "<span>The student can have only one blood type, so the actual events are mutually exclusive. "</span>

<span>The probabilities are not mutually exclusive. Based on the group </span>

<span>P(Type O) = 9/20 = 45% or 0.45 </span>
<span>P(Type A) = 2/5 = 40% or 0.40 </span>
<span>P(Other) = 3/20 = 15% or 0.15
I hope my answer helped you. Feel free to ask more questions. Have a nice day!</span>
6 0
3 years ago
Read 2 more answers
3. Look at the map. Explain why Elm Street and Birch Street are not perpendicular.
Temka [501]

Answer:

A. The slope of Birch Street is 0. To be perpendicular to Elm, Birch would have to have a slope of negative 4/7.

Step-by-step explanation:

I had this same question on Gradpoint and got it correct.

4 0
2 years ago
2) Write the equation of a line lin point-slope form) with a slope of -2 passing through the
shepuryov [24]

Answer:

y+4=-2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-4)

y+4=-2(x-4)

8 0
3 years ago
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