Answer:
0.400000002
Step-by-step explanation:
3/5 = .6
2/3 = .666667
Tell me if I am wrong.
Can I get brainliest
Answer:
-(x - 1)^2 + 5
Step-by-step explanation:
f(x) = -(x - 1)^2 + 5
This is a form of an equation that gives you lots of information about the parabola (that's the name of the v-ish/u-ish curve shape on the graph)
y = a(x - h)^2 + k
The number in front of the parentheses tells you if the curve is stretched or smashed and if negative (like these) its flipped down so its opening downward.
The number inside the parenthesis added to or subtracted from the x, will tell you if the graph is translated (shifted or slid over) left or right. This left or right shift is kind of backwards from what you might think. An x - 1 means its shifted RIGHT. An
x + anumber will shift it left. Kind of backwards. But there are math reasons. Just memorize the backwardness of horizontal shifts.
The number added on to the end of the equation will translate (slide/shift) the parabola UP for " + anumber" and DOWN for "- anumber" It goes in the direction you would expect for vertical shifts.
The image in the question has been flipped, so start with a negative. Shifted right one, so (x - 1) and lastly, shifted up 5 so tack on a + 5 at the end.
The value of the discriminant is
12.
Since the discriminant is greater than zero, the equation has
two real solutions.
<span> i only know PART B
____
I'm not sure how you were taught, so I'll show work for different methods to get the same answer.
____
Method 1: Solving for the lateral surface area of the triangular prism (not using volume)
Note that for the triangular prism:
**DON'T include the 2 triangular bases. DO include the 3 rectangular sides**
*lateral surface area does not include the area of the bases*
*lateral surface area just includes the lateral faces*
formula: (a + b + c)(h)
[a, b, c still using the values from PART A; h being your height from PART A]
Plug them into the above formula:
(10 + 13 + 13)(20) -> (10 + 26)(20) -> (36)(20) = 720
=> Your lateral surface area is 720.
(If you forget to exclude the area of the bases, you will get the surface area of 840)
___________________
Method 2: Solving for the lateral surface area of the triangular prism (using volume)
Note that we will be using surface area, height, and volume to find the lateral area this time.
formula: A - 2 (V/h)
[A is the surface area; V is the given volume; h is the height from PART A]
Before we can plug things into the above formula, we need to find the surface area.
Since we have already found the lateral surface area (the area of the 3 rectangular sides), we just have to solve for the area of the bases (the area of the 2 triangles).
(Area of a triangle = (1/2)b*h or (0.5)(b*h) -> one-half of the base times the height
We can do this 2 ways:
1) Using our base value from PART A which is 5, and our height from PART A
which is 12
1/2(5*12) -> 1/2(60) -> 30.
Because we split that triangle in half in PART A, there are 4 triangles (2 in
each base).
So 30(4) = 120.
2) Using the whole base of the triangle which is 10, and the height from PART A
which is 12
1/2(10*12) -> 1/2(120) -> 60.
Since this time we used each whole base, instead of splitting them, there are
only 2
triangles (1 per base).
So 60(2) = 120.
Both ways gave you the same answer of 120.
Now add the lateral surface area and the area of the bases.
720 + 120
720 + 120 = 840.
840 is your surface area.
With that, you can now plug things into the formula.
A - 2 (V/h) -> 840 - 2 (1200/20) = 720
=> Your lateral surface area is 720.
___________________
Both Method 1 & Method 2 get you a lateral surface area of 720.
___
The approx. amount of cardboard used for the sides (aka lateral faces[aka rectangular sides]) of the candy box is 720.</span>
(-3,-4) (3, 0)
slope = (0 +4) / (3 + 3) = 4/6 = 2/3
perpendicular so slope = -3/2
line on graph
y = mx + b
0 = 2/3 (3) + b
0 = 2+ b
b = -2
y intercept (0,-2)
answer
<span>The slope is -3/2 and contains the point (0, −2). </span>
