Assuming the bases are laid out in a square, then we can use the Pythagorean Theorem to find the distance from home plate to second base.
This distance is exactly the length of the hypotenuse of the right triangle that forms when you split the square along the diagonal. Let this distance be x
Each of the legs are 90 ft, so a = 90 and b = 90. The hypotenuse is c = x for now.
a^2 + b^2 = c^2
90^2 + 90^2 = x^2
8100 + 8100 = x^2
16200 = x^2
x^2 = 16200
sqrt(x^2) = sqrt(16200) ... apply the square root to both sides
x = 127.2792206
x = 127.3 .... round to the nearest tenth (one decimal place)
The final answer is 127.3 feet
Answer:
x = 3
Step-by-step explanation:
12x = 36
simply 12 will go to the other side and switches to the opposite sign for example + will be -
× will br ÷
so 36 ÷ 12 =3
x = 3
Answer:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but it might be from the "m for multiple" in the equation of a straight line "y = mx + b" or "y = mx + c".[2]
Step-by-step explanation:
Look at this source:
en.wikipedia.org/wiki/Slope
Best regards
The "center" is that of the point?
Step OneFor convenience f(x) = y
y = -(1/2) sqrt(x + 3) Interchange x and y
x = -(1/2) sqrt(y + 3) Multiply both sides by -2
(-2x) = sqrt(y + 3) Square both sides
4x^2 = y + 3 Subtract 3 from both sides
4x^2 -3 = y
f-1(x) = 4x^2 - 3
GraphsThe original graph is in blue
The inverse is red.
Green Line y = x : explained below.
CommentInverses have a very strange property. It acts as a check.
If you perform the following operation
f-1(f(x)) you are left with x
In this case f-1[-1/2 sqrt(x + 3)]= 4(-1/2 * sqrt(x + 3))^2 - 3
f-1 (-1/2sqrt(x+3)) = 4 (1/4 (x+3) - 3
f-1(-1/2sqrt(x + 3)) = x+ 3 - 3 = x
I've included this because I think you have to put the same restriction on f-1(x) as you do on f(x) which is that for f(x) x ≥ -3
This last assertion could be incorrect, but I don't think so.
The answer is f-1(x) = 4x^2 - 3 <<<<<
answer first box and
x≥-3 for the second box. <<<<<<
answer for the second box.Let me know if these are correct. I'm not sure about the restrictions.