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krok68 [10]
3 years ago
11

Julia plays volleyball and finished the regular season with 25 digs. The graph relates her total number of digs for the season t

o the number of games played in the post-season tournament.
What is the equation in standard form that represents the relationship shown in the graph?

A. y = 3x + 25
B. 3x + y = 25
C. y = -3x + 25
D. -3x + y = 25
E. y - 37 = 3(x - 4)

Mathematics
2 answers:
finlep [7]3 years ago
8 0

Answer:

<u>Standard form</u>:  -3x + y = 25

Step-by-step explanation:

y=mx+b

y = 3x + 25    ... you want to convert to standard form (Ax+By=C)

-3x     -3x       ... you want the variables on the left side of the equation

-3x + y = 25

Law Incorporation [45]3 years ago
6 0
We need to find an equation in the form y=mx+b.

To find m, we use the formula:
m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

We'll use the points (0, 25) and (4, 37):
m=\frac{37-25}{4-0}=\frac{12}{4}=3

The value of b (the y-intercept) is the value of y when x=0, which is 25.

So the equation is y=3x+25 (choice A).
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Help this is due tomorrow please! Carter has 88 feet of fencing to enclose a dog pen in his yard. He is trying to decide whether
svet-max [94.6K]
<h3>Answer:</h3>

The circle makes the larger area

The difference in the two areas is roughly 132.2479 square feet.

=================================================

Explanation:

If Carter decides to go for a circle, then 88 is the circumference, which is the distance around the circle (aka perimeter of the circle).

Use this to find the radius needed

C = 2*pi*r

r = C/(2pi)

r = 88/(2pi)

r = 44/pi

I'll leave it in exact form rather than approximate it.

Once we know the radius, we can find the area of the circle.

A = pi*r^2

A = pi(44/pi)^2

A = pi*(1936/(pi^2))

A = 1936/pi

A = 616.247939651819 approximately

I used my calculator's stored version of pi to compute the area in the final step.

We'll be comparing this number later, so hold onto it for now.

-------------------------------------

If Carter instead decides for a square, then 88 is the perimeter since it's the amount of fencing he has to work with.

Divide it into 4 pieces to find the length of each side of the square (all sides are equal in a square)

88/4 = 22

Each side is 22 feet

The area of this square is (22)^2 = 22*22 = 484 square feet

--------------------------------------

Summary:

  • If Carter goes for a circular enclosure, then he gets roughly 616.2479 square feet.
  • The square enclosure only gets him exactly 484 square feet.

The circle wins in terms of larger area.

The difference being roughly 616.2479  - 484 = 132.2479 square feet.

3 0
2 years ago
Selecting 2 fully charged batteries in a row from a large batch in which 6 ​% of the batteries are dead
Xelga [282]
The probability of s<span>electing 2 fully charged batteries in a row from a large batch in which 6% of the batteries are dead is given by:

P(2)=(1-0.06)^2=(0.94)^2=0.8836</span>
8 0
3 years ago
In ΔLMN, \overline{LN}
Karolina [17]

Answer:

\bold{\angle NLM = 10^\circ}

Step-by-step explanation:

Given a ΔLMN.

Line LN is extended to point O.

such that:

\text{m}\angle MNO = (5x-13)^{\circ}

\text{m}\angle NLM = (x-4)^{\circ} and

\text{m}\angle LMN = (2x+19)^{\circ}

To find:

\text{m}\angle NLM=?

Solution:

Kindly refer to the attached image for the given triangle and dimensions of angles.

Let us recall the external angle property of a triangle:

The external angle of a triangle is equal to the sum of two opposite internal angles.

i.e.

\angle MNO = \angle NLM + \angle LMN\\\Rightarrow 5x-13 = x-4+2x+19\\\Rightarrow 5x-13 = 3x+15\\\Rightarrow 5x-3x = 13+15\\\Rightarrow 2x=28\\\Rightarrow x =14

Putting the value of x in \angle NLM.

\angle NLM=14-4 \\\Rightarrow \bold{\angle NLM = 10^\circ}

5 0
3 years ago
A square has a perimeter of 40 m what is the length of each side
zubka84 [21]

Answer:

10m

Step-by-step explanation:

<u>Perimeter</u> means adding up all of the sides of a shape.

One property of a square is that <u>all lengths of a square are the same</u>.

We also know squares have <u>4 sides</u>.

<u />

Lets set up an expression to solve the length for each side with variable S representing the length of a side:

4 * S = 40

Divide each side by 4:

S = 10

Therefore, each side of the square has a length 10m

<u />

7 0
1 year ago
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x + 4|?
Tamiku [17]

Answer:

Left on the x-axis

Step-by-step explanation:

The opposite of the coefficient's amount of units is how much the graph will be moved.

Table comparisons

g(x)=|x+4|

x  1   -2   <u>-4</u>

y  5   2    <u>0</u>

Underlined is the x-int of the equation.

f(x)=|x|

x  1  <u>0</u>  -1  3

y  1  <u>0</u>   1  3

5 0
3 years ago
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