Please help me convert 3.41 m

Combine like terms to create an equivalent expression. 3.4-2.8d+2.8d-1.33.4−2.8d+2.8d−1.3

zysi [14]

Hey there!

Let's combine like terms!

First, let's write them together, like so:

-2.8d+2.8d-2.8d+2.8d-1.33+3.4-1.33

And now we can see that -2.8d and 2.8d cancel out:

-2.8d+2.8d-1.33+3.4-1.33

And they cancel out again:

-1.3+3.4-1.33

Now all we have to do is add the numbers together:

0.77

Hope it helps!

$**GraceRosalia **$

$BRAINLIEST \\PLEASE\\AND\\GOOD\\LUCK\\WITH\\YOUR \\STUDIES! :-)$

3 0

3 years ago

Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is

olganol [36]

<h2>Answer:</h2>

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

<h2>Step-by-step explanation:</h2>

The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;

(x - x₀)² + (y - y₀)² + (z - z₀)² = r² ------------------(i)

From the question:

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25 ------------------(ii)

Open the brackets and have the following:

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0 [equation has already been normalized since the coefficient of x² is 1]

Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:

x² + y² + z² + 18(x - y + z) + 218 = 0

(2) To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25 [subtract 25 from both sides]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

6 0

3 years ago

The diameter of the circle is 9.7 m . Calculate the length of its circumference. Round to the nearest tenth and remember to use

RSB [31]

Answer:

30.4m

Step-by-step explanation:

Diameter(D) = 2r (radius)

D = 9.7m

r = 9.7m / 2

= 4.85m

C = 2πr

= 2π × 4.85m

= 30.47344873982099m

rounding - Leave it as is if the digit in the tenth is 4 or lower

- round it up if it's 5 or higher.

~~ 30.4m

5 0

2 years ago

A function, f(x) = 4x + 5, has a domain 0 < x < 50. What is its range?

Roman55 [17]

Answer:

f(x) = 4x+5 ; 0 ≤ x ≤ 50

The range is the possible output values of f(x)

4(0) + 5 = 5 smallest output value in range

4(50) + 5 = 55 largest output value in range

The outputs are between 5 and 55 including the endpoints so

the range is [5, 55]

7 0

3 years ago

Read 2 more answers

Solve each compound inequality. Graph your solutions. 5 + m > 4 or 7m< -35

Yuliya22 [10]

Answer:

Solving the inequality $5 + m > 4\: or\: 7m< -35$ we get $\mathbf{m>-1\:or\: \:m$

The graph of the inequality is shown in figure attached.

Step-by-step explanation:

We need to Solve each compound inequality $5 + m > 4\: or\: 7m< -35$

Solving the inequalities

For solving compound inequalities we solve both inequalities simultaneously and find the value of m.

For solving 5+m > 4, we subtract 5 from both sides.

While solving 7m < -35, we divide both sides by 7 to get value of m

Applying these functions we get:

$5 + m > 4\: or\: 7m< -35\\m>4-5\:or\:m-1\:or\:m$

So, solving the inequality $5 + m > 4\: or\: 7m< -35$ we get $\mathbf{m>-1\:or\: \:m$

The graph of the inequality is shown in figure attached.

5 0

3 years ago

Please help me convert 3.41 m​

Please help me convert 3.41 m