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Gre4nikov [31]
3 years ago
10

I need help asap someone please help me asap

Mathematics
1 answer:
Delvig [45]3 years ago
3 0

Slope = \frac{y_{2} -y_{1}  }{x_{2} -x_{1}  }

So taking 2 points (0,0) and (60,120)

we have slope = (120-0)/(60-0) = 120/60 = 2

general equation of linear graph is y=mx+b with m be the slope

so y=2x+b

Now to find b, just plug any point of the graph in, such as (0,0)

so we get something like 0=2(0) + b => b=0

So your equation is y=2x

You might be interested in
What is the midpoint of the segment shown below?
kolbaska11 [484]

The midpoint of the segment is (-15/2, -15/2)

<h3>How to determine the midpoint?</h3>

The complete question is in the attached image

The points are given as:

(-8, -7) and (-7, -8)

The midpoint is calculated as:

(x,y) = 1/2 * (x1 + x2, y1 + y2)

So, we have:

(x,y) = 1/2 * (-8 - 7, -7 - 8)

Evaluate the difference

(x,y) = 1/2 * (-15, -15)

Evaluate the product

(x,y) = (-15/2, -15/2)

Hence, the midpoint of the segment is (-15/2, -15/2)

Read more about midpoints at:

brainly.com/question/4747771

#SPJ1

8 0
2 years ago
2. Janine walks on a circular track whose radius is 60 meters. If she walks a total of 100 meters, which of the
katrin2010 [14]

Answer:

0.53πrad

Explanations:

Given the radius of the circular track = 60metres

If she walks a total of 100 meters, the length of the arc of the circle = 100metres

To calculate the radian angle she rotates about the center of the track, we will use the formula for calculating the length of an arc

L = θ/360° × 2πr

100 = θ/360× 2π(60)

36000 = 120π × θ

36000 = 376.8θ

θ = 36000/376.8

θ = 95.5°

Since 180° = πrad

95.5° = x

x = 95.5π/180

x = 0.53π rad

6 0
3 years ago
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h
mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed  = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere  =\frac{2}{3}\pi r^3

Volume of a Cylinder =\pi r^2 h

Therefore:

The Volume of the Solid formed

=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Area of the Hemisphere =2\pi r^2

Curved Surface Area of the Cylinder =2\pi rh

Total Surface Area=

2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh

Cost of the Hemispherical Ends  = 2 X  Cost of the surface area of the sides.

Therefore total Cost, C

=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh

Recall: h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Therefore:

C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}

The minimum cost occurs at the point where the derivative equals zero.

C^{'}=\frac{-27840+32\pi r^3}{3r^2}

When \:C^{'}=0

-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518

Recall:

h=\frac{4640}{\pi r^2}-\frac{4r}{3}\\h=\frac{4640}{\pi*6.518^2}-\frac{4*6.518}{3}\\h=26.074 feet

Therefore, the dimensions that will minimize the cost are:

Radius =6.518 feet

Height = 26.074 feet

5 0
3 years ago
Which of these numbers is between 5/6 and 1?<br> (A) 4/5 <br> (B) 4/7 <br> (C)6/7
djverab [1.8K]
Two basic ways in which to do this problem:

1.  Find and apply the LCD.

2.  Convert all of the given numbers to their decimal form, to 2 or 3 places only.

Try #2 first:

5/6 = 0.83    

4/5 = 0.80 is not between 5/6 and 1.  Reject it.
4/7 = 0.57 Reject
6/7 = 0.86 This is between 5/6 and1.  This is the answer.

 
8 0
3 years ago
Write the number 2.7 x 10^-3
spayn [35]

Answer:

0.0027 -  zero-point-zero-zero-twenty-seven

Step-by-step explanation:

6 0
3 years ago
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