Answer:
see below
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b where m and b are the slope and y-intercept respectively. From the graph we see that b = 11 (because it is halfway between 10 and 12) and m = 3 (see 2 marked points on the graph). Therefore our answer is y = 3x + 11.
Answer:
49°, 59°, 72°
Step-by-step explanation:
Angles of a triangle must add up to 180°.
49° + 59° + 72° = 180°
28° + 58° + 62° = 148°
39° + 89° + 108° = 236°
45° + 70° + 85° = 200°
Only the first set could represent the interior angles of a triangle.
Answer:
14.93°
Step-by-step explanation:
Using trigonometry :
From the diagram attached :
Angle of elevation = x
To obtain the value of x
Tan x = opposite / Adjacent
Tan x = 8 / 30
Tan x = 0.266666
x = tan^-1(0.26666)
x = 14.93°
Therefore, the angle of elevation is 14.93°
Answer:
+1 and -1
Step-by-step explanation:
The function in this problem is:

First of all, we have to define the domain of the function, which is the set of values of x for which the function is defined.
In order to find the domain, we have to require that the denominator is different from zero, so

which means:

So the domain is all values of x, except from 4 and -7.
Now we can solve the problem and find the zeros of the function. The zeros can be found by requiring that the numerator is equal to zero, so:

This is verified if either one of the two factors is equal to zero, therefore:

and

We see that both values are part of the domain, so they are acceptable values: so the zeros of the function are +1 and -1.
Given that the bag contains 5 apples and 3 oranges, if you select 4 pieces of fruit without looking, the number of ways you can get 3 apples is given by:
we can select 3 apples in 5C3 ways but we are selecting 4 pices, this means that one orange can be selected in 3c1 ways. Using product rule, the total ways to select four pices is
5C3*3C1
=5!/[3!*(5-1)!]×3!/[1!(3-1)!]
=120/(6×2!)*6/(2!)
=12×3
=36