Answer: 5(5 + 2)
Step-by-step explanation: We will be using the distributive property to write a numerical expression that is equivalent to 25 + 10.
The expression 5(5 + 2) is an expression that uses the distributive property and is equivalent to 25 + 10.
5(5 + 2) is equivalent to 25 + 10 because all your doing when using the distributive property is multiply the number outside the parentheses by the numbers inside the parentheses. 5 x 5 = 25 and 5 x 2 = 10, which means 5(5 + 2) equals 25 + 10.
Answer:
I) |xz| ≈ 28.6 km
II) |yz| ≈ 34.8 km
Step-by-step explanation:
Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)
|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°
Using Trigonometric ratio - SOHCAHTOA
I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20
|xz| = 20 * Tan 55 = 20 * 1.428
|xz| = 28.56 km
|xz| ≈ <u>28.6 km</u>
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II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|
|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°
|yz| = 20 ÷ 0.574 = 34.84 km
|yz| ≈ <u>34.8 km</u>
Answer:

Step-by-step explanation:
<u>step(i)</u>
Given function y = 3 x³ - 2 x ... (i)
Differentiating equation (i) with respective to 'x'

Given x = -2


<u><em>Step(ii):-</em></u>
<u><em>we know that </em></u>

Given 

substitute values
⇒ 
cross multiplication , we get

<u><em>Final answer</em></u>:-

Answer:
D. Graph D
Step-by-step explanation:
The "y <" tells you two things: (1) shading will be below the line, where y-values are less than those on the line, and (2) the line will be dashed, because the "equal to" case is not included.
Only one graph has a dashed line with shading below: Graph D.
Answer:
Two ratios equivalent to 27:9
A) 3:1
B)9:3