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arsen [322]
3 years ago
11

Complete the description of the slope of the line that joins the points

Mathematics
1 answer:
Grace [21]3 years ago
7 0

Answer:

The slope of the line that joins the points is negative.

i.e m = -6/5

Step-by-step explanation:

Taking two points from the graph to determine the slope

  • (-3, 4)
  • (2, -2)

Finding the slope between (-3, 4),(2, -2)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}'

\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(2,\:-2\right)

m=\frac{-2-4}{2-\left(-3\right)}

m=-\frac{6}{5}

Therefore, the slope of the line that joins the points is negative.

i.e m = -6/5

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What is m∠PTR? a. 12 b. 40 c. 50 d. 140
nata0808 [166]

Answer:

d. 140

Step-by-step explanation:

QTR is a 180 degree angle, so we can assume  PTR is 140 degrees because (x+28) is (12+28)= 40

7 0
3 years ago
Use substitution to solve<br>y=2x+1 <br>y=x-5
nirvana33 [79]
2x+1 = x-5
-x -x
X+1 = -5
-1 -1

X = -6

2(-6) +1= y
-12+1= y

-11 = y

-11 = -12+1
-11 = -6-5
7 0
3 years ago
You are fundraising for the schools track team by selling clothing. The first day, you sell 13 t-shirts and 17 pairs of shorts f
Anastasy [175]

Answers:

one t-shirt costs  $10

one pair of shorts costs  $15

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

Explanation:

x = cost of one t-shirt

y = cost of one pair of shorts

13x+17y = 385 is the first equation because 13x represents the money you get from selling 13 shirts, and the 17y represents the amount you get from selling 17 shorts. The total 13x+17y is given to be $385

The second equation is 13x+12y = 310 for similar reasoning, but this time you sell 12 shorts this time and you get $310 in revenue.

The system of equations we have is:

\begin{cases}13x+17y = 385\\13x+12y=310\end{cases}

There are a few ways to solve this system. Possibly the quickest method is to note that the 13x shows up twice, so we can subtract straight down to eliminate the x terms

So,

  • 13x-13x becomes 0x or just 0, and the x terms go away.
  • 17y-12y becomes 5y
  • 385-310 becomes 75

After those three subtractions, we have the equation 5y = 75 which solves to y = 15 after dividing both sides by 5. This means the cost of one pair of shorts is $15

Plug this y value into any equation involving x and y, and solve for x

13x+17y = 385

13x+17(15) = 385

13x+255 = 385

13x = 385-255

13x = 130

x = 130/13

x = 10

Therefore, each t-shirt costs $10

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

To help verify the answer, plug (x,y) = (10,15) into each equation. We should end up with a true result after simplifying both sides.

Start with the first equation

13x+17y = 385

13(10)+17(15) = 385

130+255 = 385

385 = 385

We get a true result which confirms the first equation.

Repeat for the second equation.

13x+12y = 310

13(10)+12(15) = 310

130+180 = 310

310 = 310

Both equations are true so (x,y) = (10, 15) has been fully confirmed.

6 0
3 years ago
What is a equivalent fraction for 4/21
joja [24]
One equivalent fraction for 4/21 could be 8/42.
3 0
3 years ago
PLS HELP!!! The snowy tree cricket is sometimes called the temperature cricket because the frequency of its chirps varies based
trasher [3.6K]

Answer:

Step-by-step explanation:

62 degrees Fahrenheit

Step-by-step explanation:

The number of snowy tree cricket chirps per minute is 148 less than 4 times the outside temperature in degrees Fahrenheit.

Let x = number of chirps

f = temp in Fahrenheit

x =  4f -148

Now let x = 100

100 = 4f-148

Add 148 to each side

100+148 = 4f-148+148

248 = 4f

Divide each side by 4

248/4 = 4f/4

62=f

3 0
3 years ago
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