1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Scorpion4ik [409]
3 years ago
9

Write an equation in point-slope form and slope-intercept form for each line.

Mathematics
1 answer:
Crank3 years ago
7 0
Point slope formula is y-y1=m(x-x1)
The slope is -3. So you just plug in what you know which is the (x1,y1). So the point slope form is y+1=-3(x-4).
The slope intercept form is y=mx+b. So you plug in the m,x, and y to solve for b. B is 11. So the slope intercept form is y=-3x+11.
You might be interested in
3+4-8+9-8+78+99-7999+8799+0×6997+90÷797883+677_5=
ratelena [41]
I lost my brain sorry
6 0
3 years ago
CALC- limits<br> please show your method
gladu [14]
A. Factor the numerator as a difference of squares:

\displaystyle\lim_{x\to9}\frac{x-9}{\sqrt x-3}=\lim_{x\to9}\frac{(\sqrt x-3)(\sqrt x+3)}{\sqrt x-3}=\lim_{x\to9}(\sqrt x+3)=6

c. As x\to\infty, the contribution of the terms of degree less than 2 becomes negligible, which means we can write

\displaystyle\lim_{x\to\infty}\frac{4x^2-4x-8}{x^2-9}=\lim_{x\to\infty}\frac{4x^2}{x^2}=\lim_{x\to\infty}4=4

e. Let's first rewrite the root terms with rational exponents:

\displaystyle\lim_{x\to1}\frac{\sqrt[3]x-x}{\sqrt x-x}=\lim_{x\to1}\frac{x^{1/3}-x}{x^{1/2}-x}

Next we rationalize the numerator and denominator. We do so by recalling

(a-b)(a+b)=a^2-b^2
(a-b)(a^2+ab+b^2)=a^3-b^3

In particular,

(x^{1/3}-x)(x^{2/3}+x^{4/3}+x^2)=x-x^3
(x^{1/2}-x)(x^{1/2}+x)=x-x^2

so we have

\displaystyle\lim_{x\to1}\frac{x^{1/3}-x}{x^{1/2}-x}\cdot\frac{x^{2/3}+x^{4/3}+x^2}{x^{2/3}+x^{4/3}+x^2}\cdot\frac{x^{1/2}+x}{x^{1/2}+x}=\lim_{x\to1}\frac{x-x^3}{x-x^2}\cdot\frac{x^{1/2}+x}{x^{2/3}+x^{4/3}+x^2}

For x\neq0 and x\neq1, we can simplify the first term:

\dfrac{x-x^3}{x-x^2}=\dfrac{x(1-x^2)}{x(1-x)}=\dfrac{x(1-x)(1+x)}{x(1-x)}=1+x

So our limit becomes

\displaystyle\lim_{x\to1}\frac{(1+x)(x^{1/2}+x)}{x^{2/3}+x^{4/3}+x^2}=\frac{(1+1)(1+1)}{1+1+1}=\frac43
3 0
3 years ago
6) Determine the dimensions of a rectangle if:<br><br> A = x2 – 19x – 90
Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

Determine the dimensions of a rectangle if:

A = x2 – 19x – 90

4 0
3 years ago
Geometric sequences: <br> Find a sub 10
qaws [65]
50 bro i think i’m just trynna get my answers
6 0
3 years ago
The Omicron Model 99 television costs $450. During a special sale, it’s marked 1⁄3 off. How much money will you save buying this
Fudgin [204]

Answer:

225

Step-by-step explanation:

if it is 1/3 off, then it means it's at 2/3 the price. now, you have to divide 450/2 to get the answer. 2/3 divided by 2=1/3

450/2=225, and thats how much money you will save

3 0
1 year ago
Other questions:
  • Rabbit population can double every 30 days, if there are 20 rabbits on a farm, how many rabbits will be on the farm after 210 da
    11·2 answers
  • Consider the equation ay'' + by' + cy = d, where a, b, c, and d are constants. (a) find all equilibrium, or constant, solutions
    13·1 answer
  • What is rhe lateral edge on a rectangular prizm
    15·1 answer
  • A tank contains 15.6 litres of water when it is 1/6 full.What is its full capacity?
    7·2 answers
  • What is the cosine of angle F?
    9·2 answers
  • The first triangle is dilated to form the second triangle.
    10·1 answer
  • Solve -5x2 - 20x + 35 = 30 by completing the square.
    14·1 answer
  • I need help pls <br> What is angle 3
    9·1 answer
  • It cost Chloe $9.20 to send 92 text messages. How many text messages did she send if she spent $18.00?
    14·1 answer
  • Somebody had a seizure while making this question, please help ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!