Use your knowledge of similar triangles to solve for x
Answers
9514 1404 393
Answer:
x = 10 2/3
Step-by-step explanation:
The ratios of corresponding sides are the same, so we have ...
x/8 = 8/6
x = 8·(8/6) = 64/6
x = 10 2/3
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An icicle is in the shape of an inverted cone with a diameter of 14 mm and a height of 60 mm. How much-frozen water is in the icicle? Use 3.14 for Pi. Round the answer to the nearest tenth.
Find the quotient of negative 21 divided by negative 3
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Answers
Final answer:
After rearranging the given formula to put b on one side, we found the reciprocal of b to be 1/b = 2y/(y-2x). Multiplying by 2 gives 2/b = 4y/(y-2x) in terms of x and y.
Explanation:
To find an expression for 2/b in terms of x and y, let's first rearrange the question's provided formula, b = 1/2x - 1/y, to express b on one side of the equation. This rearrangement allows us to then find the reciprocal of b, which is 1/b. Following that, we can multiply 1/b by 2 in order to give us the expression for 2/b.
With our initial formula, b = 1/2x - 1/y, if we multiply each term by 2y, the formula then becomes 2yb = y - 2x. Rearranging this formula gives us b = (y-2x)/2y. Once we have our rearranged formula, we can find the reciprocal of b, which is 1/b. Therefore, 1/b = 2y/(y-2x).
Finally, to find our desired expression, the expression of 2/b in terms of x and y, we multiply our expression of 1/b by 2, resulting in: 2/b = 4y/(y-2x).
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So, the equation would be, (x-4)^2)=4p(y-28). To determine 4p, we can substitute either of the two points: (0,0) or (0,8). The second coordinate is taken from the given that the ball covers a distance of 4 ft after it reaches a maximum height. The total distance traveled by the ball is twice that, which is 8 ft.
After substituting, 4p = -4/7. Plugging this into the equation and after expanding and simplifying, the equation of the ball's trajectory is:
y = (-4/7)x^2+14x
Answers
P = 12 cm;
The correct answer is B.
c = 4w + 3
c = w + 9
c = w – 3
w = c + 9
w = c – 3
w = c – 9
w = 4c + 3
Answers
c=w+9 and c=w-3
w=c-9 and w=c+3
These pairs of equations are best relationship models between c and w.
How to find pair of best relationship model for c and w?
We have given,
Variable c is 9 more than variable w which can be written as
c=w+9
It can also be written as :w=c-9
It is also given that,Variable c is also 3 less than variable w, which can be written as:
c=w-3
It can also be written as: w=c+3
This way our pair of relationship between c and w are:
c=w+9 and c=w-3
w=c-9 and w=c+3
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C = w + 9
w = C - 9
Variable C is 3 less than variable W.
C = w - 3
w = C + 3
Answers
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis
Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.