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2 years ago

What is the y-intercept, b, of the additive relationship represented by this table?

Mathematics

1 answer:

algol132 years ago

3 0

Answer:

Step-by-step explanation:

First step: Find the slope, Using the Formula y2 - y1 / x2 - x1 =

6-4=2 3-1=2 then u divde the y/x 2/2=1 So the slope is 1.

Step 2: Use the Slope- Intercept formula, Y=mx+b so 4 = 1(1)+b so 4 = 1 + b

Step 3: subtract 1 on both sides so 4-1=3 1-1=0 so 3 is the Y-Intercept.

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Sam has 100 feet of fencing. Does he have enough fencing to enclose a circular region whose area is 630 square feet? Show work!

slavikrds [6]

A=pi(radius^2)
630/3.14=200.64
radius=14.16 feet
C=2(pi)(radius)
=3.14(2)(14.16)
=6.28(14.16)
C=88.92
88.92<100
Yes! He has enough fencing to enclose the circular area.

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3 years ago

Q2. A train travels at a constant speed of 45 m/s. a) Calculate the distance travelled by the train in:

alex41 [277]

Answer:

i) 1350 m

ii) 5400 m

Step-by-step explanation:

<u>Formula for Speed</u>

$\boxed{\sf Speed=\dfrac{Distance}{Time}}$

Rearrange the formula so that Distance is the subject:

$\implies \sf Distance = Speed \times Time$

<h3><u>Question (i)</u></h3>

Given:

Speed = 45 m/s (meters per second)
Time = 30 seconds

Substitute the given values into the formula for distance:

$\implies \sf Distance = 45 \times 30 = 1350\:m$

<h3><u>Question (ii)</u></h3>

Given:

Speed = 45 m/s (meters per second)
Time = 2 minutes

As the time is given in a different unit of time as the speed, we must first convert the time into seconds:

1 minute = 60 seconds

⇒ 2 minutes = 60 × 2 = 120 seconds

Therefore:

Speed = 45 m/s (meters per second)
Time = 120 seconds

Substitute the values into the formula for distance:

$\implies \sf Distance = 45 \times 120 = 5400\:m$

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strojnjashka [21]

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Answer:

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Step-by-step explanation:

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tables=$550x

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Answer:

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