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deff fn [24]
2 years ago
15

Module 1: directions: respond to this question to demonstrate your understanding of the topic/content. be sure to provide adequa

te and relevant details learned in the module to support your response. pay close attention to organizing your response so it makes sense and uses correct grammar. your response should be at least 5-7 sentences at a minimum. question: given the two points (1,5) and (-2, -4), write a set of instructions for your younger cousin that determines the equation of the line in slope-intercept form (y=mx+b). be sure to write the equation.
Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
4 0

The slope intercept form of the line whose points are (1,5) and (-2,-4) is y=3x+2.

Given two points of a line (1,5) and (-2,-4).

We have to form an equation in slop intercept form.

Equation is relationship between two or more variables which are expressed in equal to form.Equations of two variables looks like ax+by=c.

Point slope form of an equation is y=x+mc where m is slope of the line.

From two points the formula of equation is as under:

(y-y_{1})=(y_{2} -y_{1} )/(x_{2} -x_{1} )*(x-x_{1})

where (x_{1} ,y_{1} ) and (x_{2} ,y_{2} ) are the points.

Putting the values of x_{1}=1, x_{2}=-2, y_{1}=5 and y_{2}=-4.

y-5=(-4-5/-2-1)*(x-1)

y-5=-9/-3*(x-1)

y-5=3(x-1)

y-5=3x-3

y=3x-3+5

y=3x+2

Hence the slope intercept form of the line having points (1,5)(-2,-4) is y=3x+2.

Learn more about equation at brainly.com/question/2972832

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What is the mode of the data set?<br><br> A. 8<br> B. 9<br> C. 10<br> D. 5
Lunna [17]

Answer:

A: 8

Step-by-step explanation:

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. ... The mode can be the same value as the mean and/or median, but this is usually not the case

7 0
3 years ago
a cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. the material for the sides of the can costs
fredd [130]

The dimensions of the can are radius of can = 4cm and

height of can = 78.6cm

What is the volume of cylinder?

A cylinder can be seen as a collection of multiple congruent disks, stacked one above the other. In order to calculate the space occupied by a cylinder, we calculate the space occupied by each disk and then add them up.

Thus, the volume of the cylinder can be given by the product of the area of base and height.

Volume of cylinder = πr²h

According to the given question:

We have V cylinder = V = 400cc

We will first find the areas involved

Let x = radius of base then area of the base =  π*x² and this is the area of the top too

For lateral area we need to get h the height of the cylinder as function of x

V = πx²h   ⇒  h= v/πx²    ⇒   h = 400/πx²

Now the total area of the cylinder is:

A(x) = Area of the base + area of the top + lateral area

A(x) = 2*π*x² + 2πx h ⇒  A(x) =  2*π*x² + 2πx (V/πx² )

A(x) =  2*π*x² + 800/x

Taking derivatives:

A´(x)  =  4πx  - 800/x²

A´(x) = 0                4πx  - 800/x² =0     ⇒ πx - 200/x² = 0

( πx³  -  200 )/ x²  = 0      

πx³  -  200 = 0      

x = 4 cm

and h = 400/πx²    ⇒  h = 78.6 cm

To know more about volume of cylinder visit

brainly.com/question/24337953

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3 0
1 year ago
Step by step plz <br> 2x^2 + x - 3
Aleks04 [339]

Answer:

x = 1 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + x - 3 = 0

The left hand side factors into a product with two terms:

(x - 1) (2 x + 3) = 0

Split into two equations:

x - 1 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 1 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 1 or 2 x = -3

Divide both sides by 2:

Answer: x = 1 or x = -3/2

7 0
3 years ago
A rectangle has sides that measure x + 1/4
maksim [4K]

Answer:

6x + 5/6

Step-by-step explanation:

2(x + 1/4) + 2(2x + 1/3)

2x + 1/2 + 4x + 2/3

6x + 5/6

6 0
3 years ago
Explain how to find the lower quartile of a box-and-whisker plot.
elena55 [62]
C. The lower quartile (of a box-and-whisker plot) is the median of the lower half of the data.
Also referred to as "Q1"
6 0
3 years ago
Read 2 more answers
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