# High school math questions and answers

Recent questions in Secondary
emmostatwf 2022-10-03

### Find the equation of the line that passes through (9,1) and is perpendicular to the line that passes through the following points: (7,−3),(6,3)

garnirativ8 2022-10-03

### lHopitals $\underset{x\to \mathrm{\infty }}{lim}\phantom{\rule{thickmathspace}{0ex}}\left(\mathrm{ln}x{\right)}^{3x}$?Okay, so what do I do with that power? I need to rewrite the term as fractions. How?If it was the inner function that's in the power of something: $\mathrm{ln}{x}^{\frac{1}{3x}}$ then I'd just simply rewritten it as $\frac{1}{3x}\cdot \mathrm{ln}x=\frac{\mathrm{ln}x}{3x}$

braffter92 2022-10-03

### Finding values of x for logarithmThe question is to find the numbers of x which satisfy the equation.${\mathrm{log}}_{x}10={\mathrm{log}}_{4}100.$I have$\begin{array}{rl}\frac{\mathrm{ln}10}{\mathrm{ln}x}& =\frac{\mathrm{ln}100}{\mathrm{ln}4}\\ \frac{\mathrm{ln}10}{\mathrm{ln}x}& =\frac{2\mathrm{ln}10}{2\mathrm{ln}2}\end{array}$What would I do after this step?

Jocelyn Bernard 2022-10-03

### A geometric sequence is defined recursively by ${a}_{n}=5{a}_{n-1}$, the first term of the sequence is 0.45. What is the explicit formula for the nth?

abelynybco 2022-10-03

### Let ${X}_{n}$ be the set of all words of the length 2𝑛 over the alphabet {𝐴,𝐵} which contain as many A's as B's.The number of elements in ${X}_{n}$ is $\left(\genfrac{}{}{0}{}{2n}{n}\right)$, but why?

Gunsaz 2022-10-03

### The position of a particle as it moves along a straight line is given by $s\left(t\right)=\left({t}^{2}-5\right)\left(3t+4\right)$ Find the velocity of the particle as a function of time.

solvarmedw 2022-10-03

### Find the third integer if sum of six consecutive integers is 393

Tabitha Doyle 2022-10-03

### Find the slope that is perpendicular to the line $y=-\frac{1}{2}x+4$

aphathalo 2022-10-03

### Try to determine whether the following function is even or odd: $f\left(x\right)=\frac{x}{x+1}$I pass −x as input to the function to get: $f\left(-x\right)=\frac{-x}{-x+1}$What is next step?

sengihantq 2022-10-03

### Is 0,0,0,... a geometric sequence?

Bruce Sherman 2022-10-03

### Branch points and natural maximal domain of $\mathrm{log}\frac{1+z}{1-z}$So I have a function $\mathrm{log}\frac{1+z}{1-z}$ and I'm supposed to find its branch points, natural maximal domain.So far I converted $z$ to $x+iy$ but no real good. Can't check holomorphicity using this. I know that $\mathrm{log}$ is holomorphic after a branch cut. How do I proceed?I also conclude that $\frac{1+z}{1-z}$ is holomorphic as it doesn't contain $\overline{z}$

miniliv4 2022-10-03

### Write a rule for the nth term of the geometric sequence and then find ${a}_{5}$ given ${a}_{4}=\frac{189}{1000},r=\frac{3}{5}$

Leonel Schwartz 2022-10-03

### Use substitution to solve and $2x-y+z=3$

Tia English 2022-10-03

### Determine the equation of the line parallel to 3x - 2y + 4 = 0 and passing through (1,6)

rancuri5a 2022-10-03

### Write an equation for the line parallel to 2x−y=4 that goes through (8, -12) in slope-intercept form

KesseTher12 2022-10-03

### Find a standard form equation for the line with (-2, 2); perpendicular to y = 4

Sluisu4 2022-10-03