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avanturin [10]
3 years ago
5

Solve the following system of equations.

Mathematics
1 answer:
sasho [114]3 years ago
4 0
X is  minus 2
y is equal to 1
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Find the area of the shaded figure below. Use 3.14 for pi. NO LINKS OR IMPROPER ANSWERS
Lapatulllka [165]

Answer:

The area of the shaded region is about 58.9 square inches.

Step-by-step explanation:

To solve this question, let's recall some facts.

We know that the area of a circle can be defined as the following:

A = \pi r^2

where r is the radius of the circle.

We too know that circles have a diameter and a radius. The diameter of a circle is the distance a line that connects two points on a circle with its center, and the radius is half of the diameter.

We also know that figures can touch each other, or be in tangent with each other. For the sake of simplicity, we're going to assume that the shaded circles are in tangent with each other, or touch each other. Because they touch each other, these three circles can share 5 in. of the 15 in. rectangle. This means that the circles are 5 in. in diameter, or 2.5 in in radius.

Now, we can solve the problem.

Because we have 3 circles, each with 2.5 in. radii, we can have the following expression which represents the total area of these circles:

3*\pi (2.5)^2

= 3*3.14(2.5)^2

= 3 *3.14 *6.25

= 58.875

After approximation, I can conclude that the area of the shaded region is 58.9 square inches.

6 0
2 years ago
Solve the following system of linear equations by elimination through addition.
Morgarella [4.7K]

Answer:

this is the method of elimination and how to do it

Hope this helps :))

6 0
3 years ago
How is making a perpendicular bisector different to making an angle bisector
mr_godi [17]

Answer and Step-by-step explanation:

When making a perpendicular line, you take 2 points on a straight line.

- You put the compass on the two points, making marks above and below to be able to draw the line.

When making an angle bisector line, you use the angle and 2 points to make a straight line that will bisect the angle.

- You put the compass on the angle, making an arc from the two lines that join to make the angle. Then, you put your compass on where the arc meets the lines, and make a mark, which you then draw a line through.

<u><em>#teamtrees #PAW (Plant and Water)</em></u>

3 0
2 years ago
One speed skater starts across a frozen lake at an average speed of 8 m/s. Ten seconds later, a second speed skater starts from
Galina-37 [17]

Answer: Hello mate!

Let's define the variable t as the time, and define t = 0 as the moment when the first skater starts to move:

We know that the speed of the first skater is 8 m/s, and we need to find the position as a function of time, then we need to integrate the velocity over time

if v1(t) = 8m/s

then p1(t) = (8m/s)*t

now we also know that the second skater has a velocity of 9m/s and enters in the frozen lake at t= 10s.

then the velocity of the second skater is: v2(t) = 9m/s, and the position is:

p2(t) = (9m/s)*(t - 10s)

now we want to know how many seconds after the second skater starts are needed for the second skater to overtake the first one.

this is equivalent to see when his positions will be equal.

so p1(t) = p2(t):

(8m/s)*t = (9m/s)(t - 10s) = (9m/s)*t - 90m

(8m/s)*t - (9m/s)*t = -90m

(-1m/s)*t = 90m

t = 90m/(1m/s) = 90s

Then in t = 90 seconds, the second skater will overtake the first one, and knowing that the second skater started at t = 10 seconds; there are 80 seconds after the second skater started needed to overtake the first skater.

7 0
3 years ago
Calculate the slope through the points (2, 3) and (2,-6) The slope = _​
MaRussiya [10]

Answer:

m = undef

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (2, 3)

Point (2, -6)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute [SF]:                    m=\frac{-6-3}{2-2}
  2. Subtract:                              m=\frac{-9}{0}
  3. Define:                                 m = undef
5 0
3 years ago
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