Hey there!
7 x 5 = 35
3 x 6 = 18
= 35/18
Simplifying 35/18 . . .
35/18 = 1 17/18
The correct answer is 1 17/18.
7/3 divided by 6/5 = 1 17/18 <----
Hope this helps you.
Have a great day! :)
Answer:
a) OA = 1 unit
b) BC = 3 units
c) OD = 2 units
d) AC = 3√2 units
Step-by-step explanation:
Given function:
<h3><u>Part (a)</u></h3>
Point A is the x-intercept of the curve.
To find the <u>x-intercept</u> of the curve (when y = 0), set the function to zero and solve for x:
Therefore, A (1, 0) and so OA = 1 unit.
<h3><u>Part (b)</u></h3>
If OB = 2 units then B (-2, 0). Therefore, the x-value of Point C is x = -2.
To find the y-value of Point C, substitute x = -2 into the function:
Therefore, C (-2, -3) and so BC = 3 units.
<h3><u>Part (c)</u></h3>
<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.
The y-value of Point D is the horizontal asymptote of the function.
The function is undefined when x = 0 and therefore when y = -2.
Therefore, D (0, -2) and so OD = 2 units.
<h3><u>Part (d)</u></h3>
From parts (a) and (c):
To find the length of AC, use the distance between two points formula:
Therefore:
Answer:
17 animals
Step-by-step explanation:
Rachel has a collection of 40 stuffed animals
3/8 are bears
= 3/8 ×40
= 120/8
= 15
1/5 are dogs
= 1/5×40
= 40/5
= 8
15+8
= 23
Therefore the number of animal she have left can be calculated as follows
= 40-23
= 17
Hence there are 17 animals left