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kodGreya [7K]
3 years ago
15

Simplify the expression.

Mathematics
1 answer:
Verdich [7]3 years ago
5 0

if you need to simply 12/ c^-8 d^2=
=12 c^8/d^2
is the third choice
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What is the median of the following data set ? {3,4,2,8,5}
Varvara68 [4.7K]

<u>4</u>

<u></u>

Explanation:

3, 4, 2, 8, 5

<u>arrange in ascending order</u>

2, 3, 4, 5, 8

<u>Identify the integer at the middle</u>

median: 4

6 0
2 years ago
Explain how to use the distributive property to find the product (3) ( 4 1 5 )
Masja [62]

Answer:

1245

Step-by-step explanation:

Distribute the number 3 to each of the numbers in the second set of parentheses. Be careful to remember to add zeros to the number depending on which place holder the number is in.

Demonstration:

3 × 400

3 x 10

3 x 5

After solving each equation, add the total

1200 + 30 + 15 = 1245

3 0
3 years ago
Read 2 more answers
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0
2 years ago
Area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).
qwelly [4]
Here: (Aₓ, Ay) = (-3,-4), (Bₓ, By) = (-7,0), (Cₓ, Cy) = (-3, 4)
Now, Formula of area of triangle is:

area = [Aₓ(By - Cy) + Bₓ(Cy - Ay) + Cₓ(Ay - By)] / 2

Substitute the values in to the expression, 
area = [-3(0-4) - 7(-4-(-4)) - 3(-4-0)] / 2
area = [-3(-4) -7(0) -3(-4)] / 2
area = [12-0+12] / 2
area = 24 / 2
area = 12

Final answer would be 12 units.

Hope this helps!
5 0
3 years ago
Consider the following linear equation.y = -1-Step 1 of 2: Determine the slope and the y-intercept (entered as an ordered pair)
Dmitriy789 [7]

Recall that a slope-intercept form of a linear equation is

\begin{gathered} y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \end{gathered}

Rearrange the given so that it follows that slope intercept form

\begin{gathered} y=-1-\frac{2}{5}x\Longrightarrow y=-\frac{2}{5}x-1 \\  \\ \text{Now that it is in the slope intercept form} \\ y=-\frac{2}{5}x-1 \\ \text{we can determine that the slope is } \\ m=-\frac{2}{5} \\ \text{and the y-intercept is} \\ b=-1 \end{gathered}

The y-intercept is the value for which the linear function crosses the y-axis, this is when the value of x is equal to zero. The ordered pair therefore of the y-intercept is (0,-1).

8 0
1 year ago
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