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nadezda [96]
3 years ago
11

Someone help me with all of this

Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0
I’m working on the same thing in school! For number 2, what i would do is start by setting up the scatter plot by using the X and Y table and create origins to place on the graph. ( ex. (1,30) for your first one ). Also, remember to write in the laps completed and calories burned. Next, estimate a line that meets as many points as possible. ( I would use the completed scatter plot in number 3 for an example for how to draw the line ). And that’s all I can help you with :( I forgot how to do the equation part because I just started with this on Monday. Hope this helps!
-Taylor
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Consider the line shown on the graph. Enter the
Semenov [28]

<h2>Solution -</h2>

From the graph, we concluded that line passes through the points (0, 3) and (1, 4) respectively.

So, slope of the line (m) passing through the points (a, b) and (c, d) is

m = d - b/ c - a

<h3>So, on substituting the values, we get </h3>

m = 4 - 3 / 1 - 0 = 1/1 = 1

Also, line makes an intercept of 3 units in positive direction of y - axis.

So, c = 3

<h3>So, Equation of line is given by</h3>

y = mx + c

y = 1 × x + 3

<h3>y = x + 3</h3>

<h3>Alternative Method :-</h3>

We know, Equation of line passing through the points (a,b) and (c, d) is given by

y - b = d - b / c - a (x - a)

<h3>Here,</h3>

a = 0

b = 3

c = 1

d = 4

<h3>So, on substituting these values in above result, we get :-</h3>

y - 3 = 4 - 3 /1 - 0 ( x - 0 )

y - 3 = 1/1 ( x - 0 )

y - 3 = x

<h3>y = x + 3</h3>

<h3>Different forms of equations of a straight line :-</h3>

1. Equations of horizontal and vertical lines

Equation of line parallel to x - axis passes through the point (a, b) is y = b.

Equation of line parallel to y - axis passes through the point (a, b) is x = a.

<h3>2. Point-slope form equation of line</h3>

Equation of line passing through the point (a, b) having slope m isy - b = m(x - a)

<h3>3. Slope-intercept form equation of line</h3>

Equation of line which makes an intercept of c units on y axis and having slope m is y = mx + c.

<h3>4. Intercept Form of Line</h3>

Equation of line which makes an intercept of a and b units on x - axis and y axis respectively is x/a + y/b = 1.

<h3>5. Normal form of Line</h3>

Equation of line which is at a distance of p units from the origin and perpendicular makes an angle B with the positive X-axis is x cosB + y sinB = p.

<h2 />

8 0
2 years ago
What is the measure of angle 4?<br> angles 1,3,5,6,7, and 8 are 73 degrees. angles 2 is 107 degrees
uranmaximum [27]

Answer:

34 Deg

Step-by-step explanation:

Since the Triangle is isoceles, each of the internal base angle = 180-107=73

Sum of internal angles =180,  Angle4= 180-(73+73)= 180-146=34

3 0
2 years ago
Please help ASAP ! Will give brainliest!
Svet_ta [14]

27) x>-6

28) x <7

29) x<= -6

30) x < 7

31) x>=-6

32) x>4

33) x > 8

34) x < 4

35 x >= 5

5 0
3 years ago
In a jar of coins, 18 out of the 40 coins are dimes. Express the fraction of the coins
Step2247 [10]

Answer:

Percent: 20%

Fraction: 1/5

Decimal: 0.20

Step-by-step explanation:

8:40*100 =

( 8*100):40 =

800:40 = 20%

Percent to fraction:

20%=20/100

= 0.2

=0.2×10/10

=2/10

=1/5

Percent to decimal:

20/100 = 0.20

8 0
3 years ago
Kirstin knows that the initial fee for adopting a dog from the animal shelter is $75. This fee needs to be considered when calcu
irina [24]

Answer:

The function is represented by C(d) = 75\,USD + r\cdot d.

Step-by-step explanation:

In this case, we must observe that total cost of the dog (C(d)) is the sum of two components: i) <em>Fixed cost</em> (C_{f}) - Adoption fee, ii) <em>Variable cost</em> (C_{v}) - Daily cost of feeding the dog, both measured in US dollars.

In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:

C (d) = C_{f} + C_{v}

C(d) = C_{f} + r\cdot d

Where:

d - Number of days that Kirstin owns her dog, measured in days.

r - Daily feeding costs, measured in US dollars per day.

If C_{f} = 75\,USD, then:

C(d) = 75\,USD + r\cdot d

The function is represented by C(d) = 75\,USD + r\cdot d.

8 0
3 years ago
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