Answer:
B(2,4)
Step-by-step explanation:
A(-1,-9)
M(0.5,-2.5)
with M we can find x₂ and y₂
x = 0.5
x = x₁+x₂/2
0.5 = (-1 + x₂)/2
(x₂ -1)/2 = 0.5
x₂-1=0.5×2
x₂-1=1
x₂=2
for y₂
y= -2.5
y=(y₁+y₂)/2
y=(-9+y₂)/2
-2.5=(-9+y₂)/2
-9+y₂=-2.5×2
-9+y₂=-5
y₂=-5+9
y₂=4
.: coordinates are B(2,4).
Answer: Square root of x+3
Step-by-step explanation:
Insert the denominator to 3
Answer:
(15°, 165°)
Step-by-step explanation:
Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval [0, 2π]
Given
6 sin2(x) = 3,
Divide both sides by 6
6 sin2(x)/6 = 3/6
sin2(x) = 1/2
2x = sin^-1(0.5)
2x = 30°
x = 30°/2
x = 15°
Since sin is positive in the second quadrant, x2 = 180-15
x = 165°
Hence the values within the interval are 15 and 165.
(15°, 165°)
Answer:
18 children
Step-by-step explanation:
Given

<em>Required (missing part of the question):</em>
<em>Number of children that will be able to go to the zoo if 8 adult tickets are purchased</em>
<em>The graph is missing. However, the question can be solved without the graph.</em>
<em />
From the question and equation, we can deduce the following:
- x represents adults
- y represents children
So, when 8 adult tickets were sold.
This means

Substitute 8 for x in 


Subtract 96 from both sides



Solve for y


<em>This means that 18 children will be able to go</em>