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sergij07 [2.7K]
4 years ago
6

If 3^x=5^y=75^z , show that z=xy/(x+y).

Mathematics
1 answer:
SOVA2 [1]4 years ago
7 0

by setting a=3 and b=5

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kow [346]
A I truly believe!! :)))
8 0
3 years ago
A triangle has an area of 30 cm2. The base and height are scaled by a factor of 3. What is the are of the resulting triangle.
Lera25 [3.4K]
The base and height scaled to some factor, simply means,
they're blown up by that much, or multiplied by that much,

in this case is 3, so.. the area would be 1/2 bh, now,
with 3b and 3h, what would it be?

\bf \begin{cases}
A=\cfrac{1}{2}bh
\\\\
\textit{now, scaling "b" and "h" by 3}
\\\\
A=\cfrac{1}{2}\cdot 3b\cdot 3h\to \cfrac{1}{2}\cdot 9bh
\\\\
A=\cfrac{9}{2}bh\to 9\left(\cfrac{1}{2}bh  \right)\\
--------------\\
9\left(\cfrac{1}{2}bh  \right)\textit{ is really 9 times }\cfrac{1}{2}bh
\\\\
\textit{whatever the value of }\cfrac{1}{2}bh \textit{may be}
\end{cases}

-------------------------------------------------------------------------

\bf A=\cfrac{1}{2}bh\qquad 
\begin{cases}
b=2\\
h=3
\end{cases}\implies A=\cfrac{1}{2}\cdot 2\cdot 3\to 3
\\\\\\
\textit{now, let us scale "b" and "h" by 3}
\\\\
A=\cfrac{1}{2}\cdot  3b\cdot  3h\qquad 
\begin{cases}
b=2\\
h=3
\end{cases}\implies A=\cfrac{1}{2}\cdot (3\cdot 2)\cdot (3\cdot 3)
\\\\\\
A=\cfrac{1}{2}\cdot 6\cdot 9\to 3\cdot 9\to 27
3 0
4 years ago
Name
Tpy6a [65]

Answer:

1. A container of milk 2L

2. An Eyedropper has 1 mL

3. A cup of punch 250 mL

4. A jar of pickles 500mL

Step-by-step explanation:

Without even measuring, just think of this problem logically. Remember that a 1 L is 1000mL, so it is 1000 times more than 1 mL.

A milk container would hold more than a cup of milk and that is more than 20 mL. The most logical answer would be 2L.

An eyedropper can hold just a little amount of liquid. Just think that it dispenses liquid in drops, the best answer would be 1mL (which is actually an estimate of the volume of a drop is.)

A cup of punch is about 250 mL. The keyword there is a CUP and 25L is a big amount and the cup would have to be HUGE.

Same as above, the keyword there is a jar. A 50L jar would be a very big amount for just a jar of pickles.

8 0
3 years ago
Please help me! Write an equation in point-slope form of the line that passes through the given point and has the given slope.
andriy [413]

9514 1404 393

Answer:

  1. y -3 = 5(x -1)
  2. y +1 = -3(x +2)
  3. y +7 = -1/4(x -4)

Step-by-step explanation:

When you are given a point and a slope, and asked for the equation in point-slope form, it is simply a matter of putting the given numbers into the appropriate places in the equation template.

  y -k = m(x -h) . . . . . . point (h, k), slope m

__

1. y -3 = 5(x -1) . . . . . . point (1, 3), slope 5

2. y +1 = -3(x +2) . . . . point (-2, -1), slope -3

  note that for k=-1, -k = -(-1) = +1; similarly the value of -h becomes +2

3. y +7 = -1/4(x -4) . . . point (4, -7), slope -1/4

8 0
3 years ago
What type of number is 2 2/3 ? whole number, integer, rational, irrational ?
dedylja [7]

Answer:

rational

Step-by-step explanation:

rational numbers are any number that can be expressed as a fraction

3 0
3 years ago
Read 2 more answers
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