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andriy [413]
3 years ago
13

Please solve and show all steps and work

Mathematics
1 answer:
pshichka [43]3 years ago
5 0
Solve the rational equation by combining expressions and insulating the variable X .
all real numbers .
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Brainliest and Five Stars for correct answers
wel
\bf \lim\limits_{x\to 9}~\cfrac{x^2-81}{x-9}\implies \cfrac{\stackrel{\textit{difference of squares}}{x^2-9^2}}{x-9}\implies \cfrac{\underline{(x-9)}(x+9)}{\underline{(x-9)}}
\\\\\\
\lim\limits_{x\to 9}~x+9\implies (9)+9\implies 18
3 0
3 years ago
A segment with endpoints A (2, 1) and C (4, 7) is partitioned by a point B such that AB and BC form a 3:2 ratio. Find B.
sdas [7]

\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(2,1)\qquad C(4,7)\qquad \qquad \stackrel{\textit{ratio from A to C}}{3:2} \\\\\\ \cfrac{A\underline{B}}{\underline{B} C} = \cfrac{3}{2}\implies \cfrac{A}{C} = \cfrac{3}{2}\implies 2A=3C\implies 2(2,1)=3(4,7)\\\\[-0.35em] ~\dotfill\\\\ B=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill

\bf B=\left(\cfrac{(2\cdot 2)+(3\cdot 4)}{3+2}\quad ,\quad \cfrac{(2\cdot 1)+(3\cdot 7)}{3+2}\right)\implies B=\left( \cfrac{4+12}{5}~,~\cfrac{2+21}{5} \right) \\\\\\ B=\left(\cfrac{16}{5}~~,~~\cfrac{23}{5} \right)\implies B=\left( 3\frac{1}{5}~~,~~4\frac{3}{5} \right)

8 0
3 years ago
Read 2 more answers
What is the first 5 multiples of the following numbers 10,15,20,24​
timofeeve [1]
10 20 30 40 50
15 30 45 55 70
20 40 60 80 100
24 48 72 96 120
6 0
2 years ago
An arts academy requires there to be 3 teachers for every 75 students and 4 tutors for every 48 students. How many students does
bija089 [108]

Answer:

A. or B.

Step-by-step explanation:

I

6 0
2 years ago
Use the slope formula (m =
lubasha [3.4K]

For (7,2) and (0,5)

slope = 5-3/-7 = -2/7

5 0
2 years ago
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