Answer:
The equation of the straight line passing through the point ( 3,1 )
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
Step-by-step explanation:
Step(i):-
The equation of the straight line passing through the point ( 3,1 )
[tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]
[tex]\frac{3}{a} + \frac{1}{b} = 1[/tex]
3b + a = ab ...(i)
Given the difference of length is 4
a-b = 4
b = a - 4 ...(ii)
Step(ii):-
substitute b=a-4 in equation (i) , we get
3( a-4 ) + a = a (a-4)
3a - 12+ a = - 4 a + a²
a² - 8 a + 12 =0
Find the factors of 'a'
a² - 6a -2a +12 =0
a (a-6) -2(a-6) =0
a =2 and a=6
we know that a-b =4
put a = 2
2 - b =4
b = -2
The equation of the straight line whose intercepts on the axes
[tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
The equation of the straight line
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
Verification:-
The equation of the straight line passing through the point (3,1)
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
Put x =3 and y=1
[tex]\frac{3}{2} + \frac{1}{-2} = 1\\\frac{2}{2} =1\\[/tex]
1 = 1
∴ The point (3,1) is satisfies the equation
What is a part to whole ratio?
Answer:
a ratio that compares a selected number of parts. to the total number of parts in a whole.
Step-by-step explanation:
I need help please
*will give brainist*
just make sure the answer is correct!!
HELP MEEEEEE PLEASEEEEEEEEEEEEEEE
Answer:
If she returns the skis at 3 p.m. she would pay $25. IM NOT SURE ABOUT 3:05 PM
Step-by-step explanation:
Start on the hours rented side. If she rents them at noon you would be at zero. Move to the 3 (in between 2 and 4) then if you go up it hits $25 on the rental cost side.
at 3pm $25
step by step solution
Help ME PLSSS I WILL GIVE WHOEVER ANSWERS FIRST A BRAINLIEST!!
Mr. Mayhood had 4½ pounds of sand in a bucket. He put 2¾ pounds
of sand around his flower bed. How much sand did he have left in the
bucket?
Answer:
1 3/4 pounds.
Step-by-step explanation:
4 1/2 = 4 2/4
4 2/4 - 2 3/4 = 1 3/4
Answer:
1 [tex]\frac{3}{4}[/tex] pounds of sand is left in the bucket
Step-by-step explanation:
4.5 - 2.75 = 1.75 or 1 3/4
Part A The domain of a function is the set of all possible values and range of a function is a set of all possible values?
Answer:
value is 35 and the range is2
Step-by-step explanation:
which is greater -5/10 or -3 / -4
Answer: -5/10, But that can be simplified to -1/2
Please explain how to solve it
Answer: [tex]\frac{8x^3}{27y^6}[/tex]
This is the fraction 8x^3 all over 27y^6
On a keyboard, we can write it as (8x^3)/(27y^6)
===========================================================
Explanation:
The exponent tells you how many copies of the base to multiply with itself.
We'll have three copies of [tex]\left(\frac{2x}{3y^2}\right)[/tex] multiplied with itself due to the cube exponent on the outside.
So,
[tex]\left(\frac{2x}{3y^2}\right)^3 = \left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2x*2x*2x}{(3y^2)*(3y^2)*(3y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{(2*2*2)*(x*x*x)}{(3*3*3)*(y^2*y^2*y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{9y^6}\\\\[/tex]
-------------------
Or another approach you could take is to cube each component of the fraction. The rule I'm referring to is [tex]\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}[/tex]
Applying that rule will lead to:
[tex]\left(\frac{2x}{3y^2}\right)^3 = \frac{(2x)^3}{(3y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2^3*x^3}{3^3*(y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^{2*3}}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^6}\\\\[/tex]
Either way you should get 8x^3 all over 27y^6 as one fraction.
can anybody help me solving this simplify
Answer:
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if f(x)=e^x and g(x)=x-4 what is (g o f) (x)?
Answer:
Step-by-step explanation:
f(x)=[tex]e^{x}[/tex]
g(x)= x-4
g∅f(x) = [tex]e^{x}[/tex]-4
Answer:
(g•f)(x)=e^x -4
Step-by-step explanation:
-7.5x + 0.25 = -5.75
The value of x is =
Answer:
x = 4/5
I hope this helps!
Answer:
x = .8
Step-by-step explanation:
-7.5x = -5.75 - 0.25
-7.5x = -6.0
-6.0/-7.5 = .8
252 = 42 x 6
Which statement does the equation represent? Answer options with 4 options
A. 42 is 6 more than 252.
B. 252 is 42 more than 6.
C. 42 is 6 times as many as 252.
D. 252 is 42 times as many as 6.
Answer:
C. 42 is 6 times as many as 252
Step-by-step explanation:
because 42×6 = 252
The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school’s football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.
Complete Question
The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school's football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.
Part A
Write an expression that represents the perimeter of the football field. Let x Represent the length of the football field. Include parentheses in your expression. Next, write an equivalent expression that does not include parentheses.
Part B
The cross country coach later determines that the length of the football field is 120 yards. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap?
Answer:
[tex]p=4A-140[/tex]
[tex]T =or 62sec[/tex]
Step-by-step explanation:
From the question we are told that
The width of the field is seventy yards shorter than the length.
a) Generally the equation for width and length is given as
[tex]B=x-70[/tex]
Mathematically in finding the perimeter [tex]p[/tex] around the field
[tex]p=2(A+B)[/tex]
[tex]p=2(2A-70)[/tex]
[tex]p=4A-140[/tex]
b)Generally[tex]A=120[/tex]
Mathematically
[tex]p= 4(120) -140[/tex]
[tex]p=480-140[/tex]
[tex]p= 340[/tex]
Therefore
Yards ran by individual athlete[tex]Y[/tex]
[tex]340*5=1700\\Y=1700[/tex]
Time elapsed in a lap T
[tex]T=\frac{340}{1700} *6\\T=1.2min[/tex]
[tex]T =or \hspace 662sec[/tex]
11 POINTS. ANSWER PLEASEE
Answer:2 is equal to 18/1 which is 36 divided by 2
Step-by-step explanation:
Answer:
1 is 20/1 or 20 miles per hour
2 is 18/1 or 18 push ups per min
3 is 15/1 or 15 dollars per hour
4 is 50/1 or 50 km per hour
Step-by-step explanation:
divide the numerators by the denominators
WILL MARK BRAINLIEST Select the correct answer. Consider these functions: f(x) = 3x^3 + 8x-2 k(x) = 4x What is the value of k(f(x))?
Answer:
D. 12x³ + 32x - 8
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
f(x) = 3x³ + 8x - 2
k(x) = 4x
k(f(x)) is x = f(x)
Step 2: Find k(f(x))
Substitute: k(f(x)) = 4(3x³ + 8x - 2)Distribute 4: k(f(x)) = 12x³ + 32x - 8im too tired for this please help me.
Answer:
-3
-2
-6
-4
-5
-1
Step-by-step explanation:
The perimeter of a rectangle is 64 feet. The length is two more than double the width. Find the dimensions of the rectangle.
Answer:
Length = 22 ; width = 10
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Perimeter = 64 feets
Length = 2 + (2*width)
Let :
Length = l ; width = w
Perimeter = 2((2 + (2w)) + w)
64 = 2(2 + 3w)
64 = 4 + 6w
64 - 4 = 6w
60 = 6w
w = 60/6
w = 10
Width = 10
Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22
What is the equation of the line with slope 3 through the point (5, 1) in point-slope form?
y-5=3(x-1)
y-1=3(x-5)
y=3x-14
y=3x+2
i need help......,.................
Answer:B
Step-by-step explanation:
The answer is B
everyone should know this
identify the slope in y=-x
Answer:
m = -1
Step-by-step explanation:
y = -x can also be written as
y = -1x + 0
The slope is -1.
In slope intercept equations, if the slope is '1' or '-1' they would usually drop the one.
Hope this helps.
Answer:
the slope of the line y = -x will be: m = -1
The line graph is also attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slope and b is the y-interceptGiven the line
[tex]y = -x[/tex]
comparing with the slope-intercept form of the line equation
The slope = m = -1The y-intercept = b = 0Therefore, the slope of the line y = -x will be: m = -1
The line graph is also attached below.
Translate the following phrase into an expression:
“ the sum of an unknown number and 12”
Answer:
French: la somme d'un nombre inconnu et 12
Spanish: la suma de un número desconocido y 12
Latin: XII numerus ignotus est et summa
Step-by-step explanation:
Sarah has 4 cousins. Melanie has 7 times as many cousins as Sarah. How many Cousins dose Melanie have?
Answer:
Melanie has 28 cousins.
Step-by-step explanation:
4 x 7 = 28
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
A baseball team has a 20-person roster. A batting order has nine people. How many different batting orders are there
Answer:
60,949,324,800
Step-by-step explanation:
We solve the above question using Permutation formula
The formula for Permutation =
nPr = n!/(n - r)!
Total Amount in a Set (n) = 20 persons
Amount in each Sub-Set (r) = 9 batting order
Hence:
20P9 = 20!/(20 - 9)!
= 60,949,324,800
Therefore, the different batting orders they would have are: 60,949,324,800
what is the value of k ?
Given: Ray E B bisects ∠AEC.
∠AED is a straight angle.
Prove: m∠AEB = 45°
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. Angle C E D is a right angle.
Complete the paragraph proof.
We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures
degrees. Since the measure of a straight angle is 180°, the measure of angle
must also be 90° by the
. A bisector cuts the angle measure in half. m∠AEB is 45°.
Answer:
1: 90
2:AEC
3: angle addition postulate
Step-by-step explanation:
Looking at the diagram, ∠CED is a right angle, the angle that measures
degrees are:
90AECAngle addition postulateWhat is an angle?An angle is known to be a term that connote a kind of figure that is created by two rays that can be seen a common endpoint.
Note that an angle is shown by the symbol ∠. and thus Looking at the diagram, ∠CED is a right angle, the angle that measures degrees are 90 and Angle addition postulate.
Learn more about angle from
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If x= -6, which inequality is true?
A-5-3x > 10
B-3-5x < -14
C1 - 2x > 13
D2-x<-3
18-34
Answer:
B
this is because the way the other 3 are set up it just makes it b
Subtract:
a) 89.9 from 44.689
b) 789.03 from 999.8
c) ₹ 789.56 from ₹ 1052. 5
d) 15.56 kg from 28 kg
Answer:
-45.211210.77₹262.94124.44 kgStep-by-step explanation:
Given:
89.9 from 44.689
789.03 from 999.8
₹ 789.56 from ₹ 1052. 5
15.56 kg from 28 kg
Computation:
89.9 from 44.689
44.689 - 89.9
-45.211
789.03 from 999.8
999.8 - 789.03
210.77
₹ 789.56 from ₹ 1052.5
₹ 1052.5 - ₹ 789.56
₹262.94
15.56 kg from 28 kg
28 kg - 15.56 kg
124.44 kg
Find the slope of the line through the given points. (3,4) and (8,-3)
Answer:
The slope is -7 / 5
2. You are rolling a number cube. What is the probability that you will roll a
3? Answer in fraction form only.
Answer:
Step-by-step explanation:
1/2
Pleas help!!!
Rewarded brainly
Answer:
whats up
Step-by-step explanation:
Answer:
With what?
Step-by-step explanation: