Step-by-step explanation:
14/15 - 2/3 =
14/15 and 2/3 lcm is 15
so 14/15 becomes 14/15
- 2/3 become 10/15
15÷5=3 and 10÷5=2
so 14/15
-10/15=4/15
14-10 = 4
answer is 4/15 and since 15 can't be divided by 4 equally it is in simplest form at 4/15
Rewrite in standard form and use the form to find the vertex.
(1, 5)
(x - 1)^2 + 5
Answer:
f(x) = x
Step-by-step explanation:
note : slope is positive 1, so the x term must be positive
also note the graph intersects the curve at y = 0, which means that they y-intercept is zero .
if we substitute this into the general equation for a line
y = mx + b, where m = +1 and b = 0,
we get y = x
or f(x) = x (in function form)
Answer:
x = 95
Step-by-step explanation:
Using the rule of logarithms
•
x = n ⇔ x = 
Given
(x + 30) = 3, then
x + 30 = 5³ = 125 ( subtract 30 from both sides )
x = 95
<u><em>Answer:</em></u>
The bird is approximately 9 ft high up in the tree
<u><em>Explanation:</em></u>
The required diagram is shown in the attached image
Note that the tree, the cat and the ground form a right-angled triangle
<u>Therefore, we can apply special trigonometric functions</u>
<u>These functions are as follows:</u>

<u>Now, taking a look at our diagram, we can note the following:</u>
α = 25°
The opposite side is the required height (x)
The adjacent side is the distance between the cat and the tree = 20 ft
Therefore, we can use the <u>tan function</u>
<u>This is done as follows:</u>
which is 9 ft approximated to the nearest ft
Hope this helps :)