Given

Mathematics

1 answer:

Paladinen [302]3 years ago

8 0

Step-by-step explanation:

$log(x) = 2 \\ {10}^{2} = x \\ x = 100$

then for y:

$log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1$

so:

$xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9$

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If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8,6)

vova2212 [387]

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
X&({{ a}}\quad ,&{{ b}})\quad 
% (c,d)
Y&({{ -8}}\quad ,&{{ 6}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)$

$\bf \left( \cfrac{-8+a}{2}~,~\cfrac{6+b}{2} \right)=\stackrel{M}{(-3,-1)}\implies 
\begin{cases}
\cfrac{-8+a}{2}=-3\\\\
-8+a=-6\\
\boxed{a=2}\\
----------\\
\cfrac{6+b}{2}=-1\\\\
6+b=-2\\
\boxed{b=-8}
\end{cases}$

5 0

3 years ago

What percent of 33 is 22

serious [3.7K]

Wait so are you asking what 22% of 33 is?
if so you cross multiply so
33 = 100%
? = 22%
then you times 33 x 22 = 726
then you divide 726 by 100 = 7.26
so 22% of 33 is 7.26

7 0

4 years ago

Read 2 more answers

Complete the unit rate:<br><br> 924 pages in 33 days : A.______ pages in B. _____ day/s

ValentinkaMS [17]

Answer:

28 pages in 1 day

Step-by-step explanation

you have to find the unit rate of pages to days, the number of days must be 1.

to find the amount of pages, you find 924/33, which equals 28.

a = 28

b = 1