The equation x squared minus 8x+16 represents the data in the graph because if you use the -b/2a x=4. Then if you plug in the 4 for the x in the equation you would come out with the vertex of (4,0). Hope this helps.
Answer:
- 1/2
Step-by-step explanation:
turn 2/5 to have the same denominator as 10
2 ( 2 ) = 4
5 ( 2 ) = 10
4/10 - 9/10
= -5/10
simplify
-5/10 = -1/2
hope this helps
Answer:
18/5
Step-by-step explanation:
<em>From my understanding, this is 1 whole 2 upon 10</em>
<u>Step 1: Convert mixed fraction into fraction</u>
<em>Multiply whole number by denominator: 1 x 10 = 10</em>
<em>Add numerator: 10 + 2 = 12</em>
<em>Write the result as the numerator and use the same denominator.</em>
12/10
<u>Step 2: Find the total tape used</u>
<em>From my understanding, each student used 12/10 of the tap</em>
<em>So 3 students used: 12/10 x 3 =</em> 18/5
Therefore, the total tape used for three students was 18/5.
!!
The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
Learn more about TRIANGLE here brainly.com/question/2217700
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Answer:
Center = (2,5)
Radius = 10
Choice A
To find this answer, first write the equation
(x-2)^2 + (y-5)^2 = 100
into
(x-2)^2 + (y-5)^2 = 10^2
Note how the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2
We see that (h,k) = (2,5) is the center
and r = 10 is the radius