Answer:
9. 6k + 5 and 2k - 1.
10. 5√2 .
Step-by-step explanation:
9. Area = 12k^2 + 4k - 5
Factoring:
12k^2 - 6k + 10k - 5
= 6k(2k - 1) + 5(2k - 1)
= (6k + 5)(2k - 1)
So the required lengths are 6k + 5 and 2k - 1.
10. The ratio of a leg to the hypotenuse is 1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2
= 10 √2 / 2
= 5√2 .
Answer:
248000 miles
Step-by-step explanation:
if it takes 1 seconds then multiply 186,000 by 1 because 186,000 is equal to 1
<span>The sinusoidal curves are shown in the picture attached.
Note that the two waves have the same amplitude (same "height"), the same wavelength (same distance from one peak to the next one) and therefore the same frequency, but different phase (they start in different points).
When you sum two different sinusoidal curves with the same amplitude and frequency, but different phase you get a sinusoidal wave with the same frequency as the original curves, but a different amplitude and a different phase.
Therefore, the correct answer is
graph B).
</span>
We are going to form our equation in mx+b=y form.
Y= the y intercept; the distance at 0.
M= Rate of which the turtle was walking.
So, M=2 and y=7.
The equation is 2x+7=y.
<h3>Question:</h3>
The length of a rectangle is 6 metres more than its breadth. the perimeter of the rectangle is 60 metres . find the length and breadth of the rectangle.
<h3>To find:</h3>
<h3>Given:</h3>
- length of a rectangle is 6 metres more than its breadth
- perimeter = 60 m
<h3>Let:</h3>
<h3>Answer:</h3>
We know:
<u>Perimeter = 2(L+B)</u>
by using this formula we can find value of x.
Let's Verify whether value of x is correct or not
insert Value of x
Hence verified
First let's find value of length :
- Length = 6+x
- Length =6+12
- <u>L</u><u>ength = </u><u>18</u><u> </u><u>cm</u>
Now Let's find value of breadth:
- Breadth = x
- <u>B</u><u>readth = 12</u><u> </u><u>cm</u>