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olasank [31]
3 years ago
7

Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 3. (Input decimals only, such as 12.71, as the answer.)

Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0

Answer:

87.92

Step-by-step explanation:

3.14(a² + ab)  where  a = 4  and  b = 3

Plug the given numbers into the appropriate values.  Remember to follow PEMDAS.

3.14((4)² + (4)(3))

3.14(16 + 12)

3.14(28)

87.92

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Morgarella [4.7K]

Answer:

Step-by-step explanation:

KE = ½mv²

KE₁₀ = ½(1100)10² = 55000 = 55 kJ

KE₃₀ = ½(1100)30² = 495000 = 495 kJ

9 times greater

3 0
3 years ago
Solve the equation, and check the solutions (√x+3)+6=3.
larisa86 [58]

Answer:

The equation has no solution.

Step-by-step explanation:

Hi there!

First, let´s write the equation:

(√x + 3) + 6 = 3

To solve the equation, let´s subtract 6 to both sides of the equation:

√x + 3 = -3

subtract 3 to both sides of the equation:

√x = -6  (the square root of any number can´t be negative, but let´s solve it anyway and then check the solution).

Square both sides of the equation:

x = 36

Now, let´s check the solution:

(√x + 3) + 6 = 3

x = 36

(√36 + 3) + 6 = 3

(6 + 3) + 6 = 3

9 + 6 = 3

15 ≠ 3

Then, the equation has no solution.

Have a nice day!

6 0
3 years ago
Find the slope of the line through each pair of points.<br> (2, -4), (5,-8)
slega [8]

Answer:

m=-\frac{4}{3}

Step-by-step explanation:

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

Here

(x_1, y_1)=(2, -4) \ \ and \ \  (x_2, y_2)=(5, -8)

m=\frac{-8-(-4)}{5-2}

m=-\frac{4}{3}

8 0
3 years ago
The question is in the picture
yawa3891 [41]

Answer: May you show the angle we are supposed to solve? its a bit unclear. or can you explain the angle to us?

Step-by-step explanation:

6 0
3 years ago
Complete the square to solve 4x2 + 24x = 4.
igomit [66]

Answer:

x = - 3 ± \sqrt{10}

Step-by-step explanation:

Given

4x² + 24x = 4 ( divide through by 4 )

x² + 6x = 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 1 + 9

(x + 3)² = 10 ( take the square root of both sides )

x + 3 = ± \sqrt{10} ( subtract 3 from both sides )

x = - 3 ± \sqrt{10}

8 0
3 years ago
Read 2 more answers
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