All sides are the same, hence, all three angles are the same, and each one of them is 60 degrees. Due to that:
7x + 4 = 60
7x = 56
x = 56/7 = 8
8y + 12 = 60
8y = 48
y = 48/8 = 6
Answer:
3) (2,-9)
4) (0,-5)
5) (1,-8)
Step-by-step explanation:
3)
The vertex will occur between you x-intercepts.
You already found that happens at x=2.
To find the corresponding y-coordinate, replace x in
f(x)=(x+1)(x-5) with 2:
f(2)=(2+1)(2-5)
f(2)=(3)(-3)
f(2)=-9
So the vertex is (2,-9).
4)
The y-intercept is when x=0.
So in f(x)=(x+1)(x-5) replace x with 0:
f(0)=(0+1)(0-5)
f(0)=(1)(-5)
f(0)=-5
So the y-intercept is (0,-5).
5)
To find another point just plug in anything besides any x already used.
We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.
So replace x in f(x)=(x+1)(x-5) with x=1:
f(1)=(1+1)(1-5)
f(1)=(2)(-4)
f(1)=-8
So another point to graph is (1,-8).
Suppose that the numbers that the boy being cast from the dice are 3 4 5 6.
3 stands for white, 4 stands for red, 5 stands for green and 6 stands for blue.
We need to interpret the statement given above. The set of numbers is 3 4 4 6 6 5.
First, we need to get the mean of this set. Add all the numbers and divide by the total number that the set has.
3+4+4+6+6+5= 28 / 6
= 4.67 The mean is 4.67
For the variance, we will use the mean above ( 4.67 )
1. Squared the mean and subtract how many numbers are present in the set.
4.67x4.67= 21.8089 /6 = 3.64 set aside this result
2. Next squared all the numbers present in the set and add the result
3x3= 9 , 4x4= 16, 4x4=16, 6x6=36, 6x6=36, 5x5=25
9+16+16+36+36+25= 138
3. Subtract the result of #2 with #1
138 - 3.64= 134.36 set this aside
4. Subtract 1 from the total numbers you have in your set
6 - 1= 5
5. Divide the result we have in #3 with the result of #4
134.36 / 5= 26. 872
So the variance is 26.872
Answer:
Words for dividing:
The problem is asking you to divide, because the key word is, "fill empty egg cartons that each hold"
So Mary will fill each carton with 12 eggs each until she runs out.
<em>12 goes into 216 eighteen times exactly.</em>
<em />
<em>and the result is(R means leftovers, which are none here)...</em>
<em />
Answer:
4x-8
Step-by-step explanation:
3/4(4x-8)+1/4(4x-8)
12/4x-24/4+4/4x-8/4
3x-6+x-2
3x+x-6-2
4x-8
