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Julli [10]
3 years ago
12

What is the formula for the area of a circle?

Mathematics
1 answer:
Vesna [10]3 years ago
5 0
The answer to your question is A
You might be interested in
Which system of inequalities is represented by the graph?
timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

∴ m = -0.5

- The form of the equation is y = m x  + b, where b is the

   y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

  2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ m=\frac{-5-4}{3-0}=\frac{-9}{3}

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y =  -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

  y is less than or equal -3 x + 4

∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

∵ 2 y ≤ - x + 5

- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4" is represented by the graph

4 0
3 years ago
What is the value of n?<br> A.81<br> B.85<br> C.38<br> D.47
Liula [17]

Answer:

B

Step-by-step explanation:

∠ABC= 180° -142° (adj. ∠s on a str. line)

∠ABC= 38°

∠BAC= 180° -133° (adj. ∠s on a str. line)

∠BAC= 47°

∠ACB= 180° -38° -47° (∠ sum of △)

∠ACB= 95°

n°= 180° -95° (adj. ∠s on a str. line)

n°= 85°

n= 85

6 0
3 years ago
The system of equations is graphed on the coordinate plane. y=−12x−1y=14x−4 A graph with a blue line passing through coordinates
Anika [276]
We have that

 case 1)
<span>system of equations is
</span><span>y=−12x−1
y=14x−4

using a graph tool
see the attached figure

the solution of the system  is the point (0.115,-2.385)

case 2)
</span>system of equations is
<span>blue line passing through coordinates A (0, -4) and B (4, -3)
</span><span>red line passing through coordinates   C(0, -1) and  D (4, -3)

</span>using a graph tool
see the attached figure

the solution of the system  is the point (4,-3)<span>

</span>

8 0
3 years ago
Carolyn is planning a community garden she would like the length of the garden to be 4 feet more than its width. Carolyn wants t
SCORPION-xisa [38]

Let's make the width 'x'.

And the length 'x+4'.

Perimeter is adding up ALL the sides.

Add: x + x + 4 + x + x + 4.

Simplify:

x + x + 4 + x + x + 4 = 4x + 8

4 0
3 years ago
What is the solution of the equation (4x + 3)^2 = 18?
iren [92.7K]

Answer:

x=6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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