y = - 
x - 1
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange - 7x + 5y = 12 into this form
add 7x to both sides
5y = 7x + 12 ( divide all terms by 5 )
y = 
x + 
← in slope- intercept form
with slope m =
given a line with slope m then the slope of a line perpendicular to it is
perpendicular slope = - 
= -
The partial equation of the perpendicular line is
y = - x + c
to find c substitute (- 7, 4 ) into the partial equation
4 = 5 + c ⇒ c = 4 - 5 = - 1
y = - x - 1 ← in slope- intercept form
First you add them together and divide by two,
cuz midpoint is basically the middle of two points
i am not quite sure if you are trying to say 0.14 or 0.014, is it a typo?
so i did both, see which one helps
(0.13 + 0.14) ÷ 2= 0.135
(0.13 + 0.014) ÷ 2 = 0.072
Garbage can is the answer
The exponential function is
f(x)=ab^x, where b is the base, the number to multiply every time x is increased by 1.
If f(x)=92, f(x+4)=280, then
f(x+4)/f(x) = 280/92 = ab^(x+4)/(ab^x) = b^4
to find the base b,
b^4=(280/92)
b=(280/92)^(1/4) ..... fourth root, or take square-root twice
=3.4035^(1/4)
=1.3208 (accurate to 4 places of decimal).
Edit: 92*1.3208^4 gives 279.9858 (missing little bit because of accuracy).
A slightly better accuracy would be
base = 1.320816698856163
and 92*1.320816698856163^4 would still be 279.9999999999993, but VERY close to 280.
So it all depends on the accuracy you need.
If you need more accuracy, please tell me how many accurate digits you'd like the results.
Here it is:
base = 1.320816698856163713875997666455513013800337299231824403890097792042432005288739246325005446716740
and if you multiply together
92*base^4, you will get 280 accurate to at least 90 digits after the decimal.
I think that should be sufficient for what you need. Recall that these calculations cannot be done or verified on a 10 or 12 digit calculator.
Well, to please you, I have calculated it to 500 digits, don't think that's going to be of much practical use for anybody.
By the way, that's as far as I will do this evening. My eyes are almost closing!
base=1.3208166988561637138759976664555130138003372992318244038900977920424320052887392463250054467167408005624428737585147309981331510076693180633495574937759374668399829195521733208637815593771220504215429477168159456265024711237470736388371979840461777898466419772297172931568429339640964205400234392902077320257671263508487367942846685479533507498695981037274512050120058009244868634949261015429944340565311559486391625531554216085859773912355361847787636892603324966350039688974359584811585283183726532
Answer: (6,2)
Step-by-step explanation:
Replace all occurrences of
y with 2x−10 in each equation.
−x+20=14
y=2x−10
Solve for x in the first equation.
x=6y=2x−10
Replace all occurrences of x with 6 in each equation.
y=2x=6
(6,2)
Point Form:
(6,2)
Equation Form:
x=6,y=2
