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Alika [10]
4 years ago
5

The system of equations y = negative one-half x + 4 and y = 2x – 1 is shown on the graph below. According to the graph, what is

the solution to this system of equations? (2, 3) (3, 2) (–1, 4) (4, –1)

Mathematics
1 answer:
dimaraw [331]4 years ago
8 0

Answer:

(2, 3 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

point of intersection = (2, 3 ) ← is the solution

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Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only) (6 points)
wolverine [178]

Answer:

35.68°

Step-by-step explanation:

In the picture attached, the triangle is shown.

From sine definition:

sin(y) = opposite/hypotenuse

The leg measuring 7 units is opposite to angle y, and the hypotenuse measures 12 units, therefore:

sin(y) = 7/12

y = arcsin(7/12)

y = 35.68°

4 0
3 years ago
A lab technician has to fill the tank given below. <br> Find it’s volume .
wel

Answer:

The volume of the cylinder shown in the figure is 628 cube meters

Step-by-step explanation:

Given figure is about cylinder

The height of the cylinder = h = 8 meters

The radius of the base of cylinder = r = 5 meters

Now, let The volume of cylinder = V m³

So, The volume of cylinder is given as V = \pi×r²×h

where r is the radius of its base

And h is the height of cylinder

The value of  \pi = 3.14

So, V =  \pi × r² × h

Or, V = 3.14 × (5)² × 8

Or, V =  3.14 × 25 × 8

or, V = 628 m³

So, The volume of cylinder = V  = 628 m³

Hence The volume of the cylinder shown in the figure is 628 cube meters  Answer

6 0
3 years ago
Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make sals.
Grace [21]

The number of batches of salsa that can be made = x = 6 batches

The number of bat  tomato sauce that can be made = y = 3 batches

Step-by-step explanation:

We are given the system of equations:

x+5y=21\\x+y=9

where variable x represents the number of batches of salsa that can be made and y represents the number of bat  tomato sauce that can be made.

We need to solve the systems to find the values of x and y.

Let:

x+5y=21\,\,\,eq(1)\\x+y=9\,\,\,eq(2)

Subtract both equations:

x+5y=21\\x+y=9\\-\,\,\,-\,\,\,\,\,\,-\\------\\4y=12\\y=\frac{12}{4}\\y=3

So, value of y=3

Putting value of y in eq(2) and finding value of x:

x+y=9\\x+3=9\\x=9-3\\x=6

So, value of x=6

The number of batches of salsa that can be made = x = 6 batches

The number of bat  tomato sauce that can be made = y = 3 batches

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

6 0
3 years ago
Read 2 more answers
What is the answer to 4/5 x 3/4
Furkat [3]

3/4  x 4/5

= 3 · 4/4 · 5

= 12/20

= 3 · 4/5 · 4

= 3/5

4 0
3 years ago
Read 2 more answers
Ms. Blevins wants to survey a random sample of students at her middle school about the amount of homework assigned each night. W
NeTakaya
I think maybe 3) would make the most sense because she wants a random sample of students and the other options are specific on the type of students.
6 0
3 years ago
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