Answer:
2/3 is the slope of the perpendicular line
Step-by-step explanation:
1) put into slope-intercept form (y=mx+b)
-8=2y+3x
-2y=3x+8
y=-3/2x-4
2) the line is perpendicular so the slope will be opposite and the reciprical of the original slope.
so, because the original was -3/2, the new one is 2/3
A baseball diamond is 90 feet square (NOT 90 square feet!). Coach Jack Handley runs from first base to second base at 25 feet per second. How fast is he moving away from home plate when he is 30 feet from first base (Problem #3)? How fast is he moving away from home plate when he is 45 feet from first base (Problem #4)? Answers should be expressed in terms of feet per second.
Answer:
dx/dt = 5√5/2
Step-by-step explanation:
Given:
dx/dt = 25 feet per second
According to Pythagoras theorem:
x² + 90² = y²
We know that x = 30 ft
So,
x² + 90² = y²
30² + 90² = y²
y = 30√10
So,
x² + 90² = y²
By taking differentiate:
2x dx/dt = 2y dy/dt
[x/y][dx/dt] = dy/dt
dx/dt = 5√5/2
a man is twice as old as his son.Five years ago the ratio of their ages was 9:4.Find the sum of their ages
Let's assume the sons age as x.
Age of the man is 2x
Five years ago,
The man's age=9x
The sons age=4x
Then find the equation.
hope it was helpful.
I am not solving all cuz that u understand how to frame a equation.
2.5 gal/min=____ quart/hour
Answer: 600
Step-by-step explanation:
PLS ANSWER BOTH PARTS FOR BRAINLIEST ANSWER !!
Chelsea is training for a race. From last month to this month, she decreased her average pace in minutes per mile by 12%. Write two different equations to epresent the relationship between p, Chelsea's average
pace last month, and n, Chelsea's new average pace.
Last month, Chelsea ran at an average pace of 7.5 minutes per mile. On average, how long, in minutes,
does it take Chelsea to run one mile this month?
Yolanda, Carlos, and Keith have a total of $68 in their wallets. Keith has $8 less than Yolanda. Carlos has 2 times what Keith has. How much do they have in their wallets?
Answer:
Keith: 15, Carlos: 30, Yolanda: 23
Step-by-step explanation:
Let x be the amount of money Keith has. Then Yolanda has x+8 money and Carlos has 2x money. These all add up to 68.
x+(x+8)+2x=68
4x+8=68
4x=60
x=15
x represents how much money Keith has.
So Keith has 15 dollars, Carlos has 30 dollars, and Yolanda has 23 dollars.
Help I will make you a brainlist!!
What is the equation of the line with a y-intercept of -3 and a slope of 2?
y=-3x + 2
y = -2x - 3
y= 2x - 3
y= 3x + 2
Answer:
y = 2x - 3
Step-by-step explanation:
y = mx + b
slope is m, so m=2
y-intercept is b, so b= -3
============================================================
Given:-
Slope of the line -> 2Line's y-intercept -> -3To find:-
Equation of the lineRemember, slope-intercept form looks like so:-
[tex]\bigstar{\boxed{y=mx+b}[/tex]
Where
m stands for the slope
b stands for the y-intercept
in this case, m -> 2, and b-> -3
Plug in the values:-
[tex]\bigstar{\boxed{y=2x-3}[/tex]
=========================================================
note:-Hope everything is clear; if you need clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
I need help with this last question I have here
Answer:
its d
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
The "quotient" is what you get after you divide 2 number, and in this case, you are dividing m/6.
Find the midpoint of the hypotenuse.
10x^3+34x^2+20x
Factor the trinomial
[tex]2x*(5x^{2} +17+10)[/tex] is the answer I think
I WILL GIVE BRAINLIEST! (Function Composition Application)
Answer:
N(T(t)) = 24(8t + 3)² - 112(8t + 3) + 95 (this is can be the answer for the 1st cloumn since your teacher said "You do not need to simplify your answer)
N(T(5)) = 24(8(5) + 3)² - 112(8(5) + 3) + 95
N(T(t)) = 24(43)² - 112(43) + 95
N(T(t)) = 39 655
answe for 2nd coloumn
(5, 39655)
answer for 3rd coloumn
5 hours
answer for 4th col is
39,655 bacteria
The triangles shown below may not be congruent.
A. True
B. False
Answer: B. False.
They are in face Congruent! :)
1620, 540, 180, 60, 20,...
Find common ratio.
Answer:
multiplying by 3
Step-by-step explanation:
20x3=60 60x3=80. and the rest is the same.
please help thanks in advance
Answer:
43.25
Step-by-step explanation:
Since sides DF and FE are congruent, their opposite angles D and E are also congruent.
m<D + m<E + m<F = 180
x + x + 93.5 = 180
2x = 86.5
x = 43.25
Answer: 43.25
which is not a justification for the proof
a. pieces of right triangles similarity theorem
b. side side side similarity theorem
c. substitution
d. addition property of equality
Answer: B.Side side side similarity theorem
Step-by-step explanation:
Hope this helps <3
^^^^ B.Side side side similarity theorem is correct
i just took the test and it was right!
what is 8 - 7 1/4 i need the answer fast
Answer:
3/4
Step-by-step explanation:
300/3x6
A,580
B.600
C601
D620
Answer:
B. 600
Step-by-step explanation:
300 / 3 = 100
100 x 6 = 600
Can someone put this into slope intercept form?
4x + y *insert greater than or equal to sign here* 2
i’ll give brainliest to first person with an actual answer
(20 point question)
Answer:
y>=-4x+2
Step-by-step explanation:
Answer:
Greater than 2
Step-by-step explanation:
Have trust
Jordan is running a race that is 13 miles long. From his training, he knows that it takes him 72 minutes for every 12 miles he runs and he runs each mile in the same amount of time.
How long will it take for Jordan to run the 13th mile in the race (assuming he runs at the same speed as the first 12 miles)?
Answer:
78 minutes
Step-by-step explanation:
72/12=6
6*13=78
In 2005 the population of a district was 35.700 with a continuous annual growth rate of approximately 4%, what will the population be in 2030 according to the exponential growth function? Round the answer to the nearest whole numberdo not include the unit in your answer.
Given:
Population is 2005 = 35,700
growth rate = 4% = 0.04
To find:
The population in 2030.
Solution:
The general exponential growth model is
[tex]y=a(1+r)^t[/tex]
where, a is initial value, r is growth rate and t is time in years.
Let the initial year is 2005. So, number of years between 2005 to 2030 is
[tex]2030-2005=25[/tex]
Putting a=35,700, r=0.04 and t=25 in the above model.
[tex]y=35,700(1+0.04)^{25}[/tex]
[tex]y=35,700(1.04)^{25}[/tex]
[tex]y=35,700(2.665836)[/tex]
[tex]y=95170.3452[/tex]
Approximate the value to the nearest whole number.
[tex]y\approx 95,170[/tex]
Therefore, population of the district will be about 95,170.
Amount in 2030 is $95,169
Given that:
Amount invested = $35,700
Growth rate = 4% = 0.04
Time invested = 2030 - 2005
Time invested = 25 year
Find:
Amount in 2030
Computation:
A = P[1+r]ⁿ
Amount in 2030 = 35700[1+0.04]²⁵
Amount in 2030 = 35700[1.04]²⁵
Amount in 2030 = 35700[2.6658]
Amount in 2030 = $95,169
Learn more:
https://brainly.com/question/24132206?referrer=searchResults
how do you write a linear equation when given a graph or table? and how do you analyze key features of a function when given its graph?
What would the perimeter of a triangle be if the side lengths were 5x+2, 3x-5, and x+10
please help and give details!!
Answer:
The answer is A.
Step by step explanation
x²-1
Where
Roots (-1,0) (1,0)
Domain x€R
Range f(x)€ [-1,+infinity]
Minimum (0,-1)
Vertical intercept (0,-1)
40 POINTS PLEASE HELPPPPPPP ME !
Answer:
75/100
=15/20
3/4
The probability is3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Hope this helped have an amazing day!
5x +12=27
Solving a 2-step equation
Answer:
x = 3
Work below
Step-by-step explanation:
5x + 12 = 27
-12. -12
5x = 15
/5 /5
x = 3
Hope this helps!!
Answer:
3
Step-by-step explanation:
5x+12=27
subtract 12 from 12 and 27 to cancel the 12 you wan your number that has a letter by its self 12-12=0 12-27=15 then you divide what ever number that has a number by whatever number your left with so 15/5=3
please help I would really Appreciate it so much
Answer:
I think it is b
Step-by-step explanation:
it is 3a times all of the numbers in parenthases
hope you pass your test
HAPPY NEW YEAR
Answer:
the answer is 15a+12ac+6ab
Step-by-step explanation:
3a(5+4c+2b)
(3a)(5+4c+2b)
(3a)(5)+(3a)(4c)+(3a)(2b)
15a+12ac+6ab
6ab+12ac+15a
hope this helps!
Pls can any one help me with question two pls
Someone kind answered question one for me soo can u pls answer question two for me plssss
Answer:
b is the correct answer
While solving a numerical in Physics, Archana got the answer 2.387 x 107instead of 2.367 x 107due to a miscalculation. By how much does her answer differ from the correct answer? Show your work.
please answer quickly i have marks for it!!!
Answer:
correct answer = 2.367x107
wrong answer = 2.387x107
to find difference do big-small
or 2.387x107-2.367x107= (2.387-2.367)x107= 0.02x107=2.14
What is the square root of 3 to the square root of 2 power times the square root of 3 to the negative square root of 2 power
Answer:
3
Step-by-step explanation:
multiplication rule of exponents is to multiply the bases (sq rt 3) and add the exponents
(sq rt 3)^2 = 3
add exponents and power of 1
I need help with this homework
A map's scale is 2 cm = 35 miles. There are 17 cm between Atlanta and the border
of Georgia and Florida on the map.
How many miles are there between Atlanta and the border of Georgia and Florida?