Answer:
(-1, 8)Step-by-step explanation:
Given P to be the point that divides the coordinates J and K in the ratio 1:3
then the coordinate of point P will be xpressed as;
P(X, Y) = [tex](\frac{bx_1+ax_2}{b+a}, \frac{by_1+ay_2}{b+a})[/tex]
Given J = (-4, 11) and K = (8, -1)
[tex]x_1 = -4, y_1 = 11, x_2 = 8 \ and \ y_2 = -1, a = 1, b = 3[/tex]
substituting the given parameters into the line division formula
[tex]P(X, Y) = (\frac{3(-4)+1(8)}{3+1}, \frac{3(11)+(1)(-1)}{3+1})\\\\P(X, Y) = (\frac{-12+8}{4}, \frac{33-1}{4})\\\\P(X, Y) = (\frac{-4}{4}, \frac{32}{4})\\\\P(X, Y) = (-1, 8)[/tex]
Hence the coordinates of P is (-1, 8)
Richard buys a new car for $28,000. The car depreciates in value by 9% each year. Write an expression model to represent this situation. Use the variable y to represent the value of the car after t years.
Given :
Worth of new car , C = $28000 .
Depreciates in value of car , D = 9 % .
To Find :
Use the variable y to represent the value of the car after t years.
Solution :
Depreciation formula is given by :
[tex]y=C(1-\dfrac{D}{100})^t[/tex]
Putting all given values , we get :
[tex]y=C(1-\dfrac{D}{100})^t\\\\y=28000\times (1-\dfrac{9}{100})^t\\\\y=28000( \dfrac{91}{100})^t[/tex]
Therefore , the required equation is [tex]y=28000( \dfrac{91}{100})^t[/tex] .
Hence , this is the required solution .
if segment ac has a midpoint of b, and ab=32 and bc=5x+7, what is the length of segemnt bc
Answer:
BC = 32Step-by-step explanation:
B being midpoint of AC means:
BC = AB = 32
plz help me i dont understand this one
Answer:
x^2y^5
Step-by-step explanation:
Simplify the expressions.
Name the sets of numbers to which each number belongs
K ( -3, 7 ), and L ( 8, 7 what is the slope?
Can someone explain/answer this? I think I know the answer but I want to be entirely sure
Answer:
8
Step-by-step explanation:
2×2⁻³×2⁵ =2¹×2⁻³×2⁵ =2¹⁻³⁺⁵ =2³=8Lowest common multiple of 6 , 7 and 8
Answer:
The LCM is 168
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
Answer:
Lowest common multiple is 168
Simplify each expression.
20-2.32
0 18
O 11
O 60
O 2.
Answer:
the answer for this question is 18
What is the midpoint of AB?
Answer:
-4
Step-by-step explanation:
It’s -4
Answer:
(-4,-0.5)
Step-by-step explanation:
1/2 _ 5/4
which one is greater?
Step-by-step explanation:
1/2 is equal to 0.5 and 5/4 is equal to 1.25
0.5_1.25
Which is greater?
1.25 by a long shot
Then we convert back to fractions.
The answer is 1/2<5/4
Hope it helps!
Answer:
1/2 is 50% and 5/4 = 125%
Step-by-step explanation:
M is the midpoint of RT. RM = 5x + 9 and MT = 8x - 36. Find x, RM, MT, and RT. = .
The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.
What is a System of equations?simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given a system of equations Where RM = 5x + 9 and MT = 8x - 36.
Since,
M is the midpoint of RT
Thus,
RM = MT
5x + 9 = 8x - 36
3x = 45
x = 15
So,
1) RM = 5x + 9
RM = 75 + 9 = 84
2) MT = 8x -36
MT = 120 - 36 = 84
3) RT = RM + MT
RT = 84 +84 = 168
Therefore, The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.
Learn more about the System of equations here:
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Solve the formula for the indicated variable. W=XYZ solve for y.
Answer:
W÷XZ= Y
Step-by-step explanation:
isolate the variable by dividing :)
Answer:
W÷XZ= YStep-by-step explanation:
Please help me ASAP 100 PTS
Answer:
The second choice
Step-by-step explanation:
Perimeter is calculated by adding the length and width but multiplied by 2. You add 3.2 and 1.5 and get 4.7. Multiply 4.7 by 2 would give you 9.4.
Area is multiplying the length and width. 3.2 multiplied by 1.5 would be 4.8
The answer is B.P=9.4 m, A 48m^2
6 less than twice a number.
Answer:
X × 2 - 6
Step-by-step explanation:
"Twice a number" means that it needs to be multiplied by two and "6 less than" means you need to subtract 6 at the end.
Ivan makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer: p=8h
Hope this helped
Step-by-step explanation:
Order the numbers from least to greatest -1 4/5 , -7/4, 3/2, (-2.2)
Answer:
-2.2, -1 4/5, -7/4, 3/2
Step By Step:
I just converted all into decimals;
-1.8, -1.75, 1.5, -2.2
Then ordered them;
-2.2, -1.8, -1.75, 1.5
Find the product of (3.7 × 104) and 2.
A. 7.4 x 10^3
B. 0.74 x 10^4
C. 7,4 x 10^4
D. 74 x 10^4
Answer:
A. The answer is 7.4x10^3
Answer:
A. The answer is 7.4x10^3
Step-by-step explanation:
Please Help!!! 20 Points! Brainliest Answer! 2 questions
Answer:
Step-by-step explanation:
its D which is 7
Please 20 points ASAP
Answer:
a. -1, 1
b. 2, 7
c. 1, 1
What is the value of s in the equation 4(2s - 1) = 75 + 12?
Answer:
s=91/8
Step-by-step explanation:
4(2s-1)=75+128s-4=878s=91s=91/8Answer: s=91/8
Step-by-step explanation:
To find the value of s, you want ot use your algebraic properties to isolate s.
4(2s - 1) = 75 + 12 [distribute by FOIL]
8s-4=75+12 [add]
8s-4=87 [add both sides by 4]
8s=91 [divide both sides by 8]
s=91/8
What’s the answer too this problem?
Think about the rule when multiplying powers together.
When multiplying two powers that have the
same base, simply add their exponents.
In this problem, each power has a base
of a and our exponents are m and n.
So adding these exponents together, we have a^m + n.
Use the numbers 1 through 9(each number only once) in the following arrangement to make three equal fractions.
plz help
Answer:
[tex]\frac{3}{6}=\frac{7}{14}=\frac{29}{58}[/tex]
Step-by-step explanation:
By hit and trial method,
Given series of fractions will be,
[tex]\frac{3}{6}=\frac{7}{14}=\frac{29}{58}[/tex]
Since, [tex]\frac{3}{6}=\frac{3\times 1}{3\times 2}[/tex]
[tex]=\frac{1}{2}[/tex]
[tex]\frac{7}{14}=\frac{7\times 1}{7\times 2}[/tex]
[tex]=\frac{1}{2}[/tex]
[tex]\frac{29}{58}=\frac{29\times 1}{29\times 2}[/tex]
[tex]=\frac{1}{2}[/tex]
Therefore, [tex]\frac{1}{2}=\frac{1}{2}=\frac{1}{2}[/tex] is the reduced form of the fractions.
[tex]\frac{3}{6}=\frac{7}{14}=\frac{29}{58}[/tex] will be the answer.
somebody help i gotta headache ... and i just need someone elses opinion.
am sorry i forgot the first but the second is transformation and the third is rotation
1) corresponding
2) translation
3)rotation
Hope this helps a lil I'm not for sure tho
PLEASE HELP!!!
Use the figure and find PT.
PT = 7x - 24 and TQ = 6x-2
Answer:
PT= 130
Step-by-step explanation:
Since T is the midpoint of segment PQ,
PT = TQ
7x - 24 = 6x-2
Subtract 6x both sides and add 24 both sides
7x -6x - 24 = 6x -6x -2
x - 24 + 24 = -2 + 24
x= 22
Substitue x into PT
7(22) - 24
154 - 24
PT= 130
How do u write 0.57 repeating as a fraction in simplest form explain the steps please!
Answer:
57/99
Step-by-step explanation:
let's set up an equation:
x = 0.5757...
set up a second equation so the numbers after the decimal places are equal
100x = 57.5757...
subtract
100x = 57.5757...
- x = 0.5757
99x = 57
divide by 99
x = 57/99
0.57 repeating can be expressed as the fraction 19/33 in simplest form.
We have,
Let x = 0.575757... (with 57 repeatings)
Multiplying x by 100,
100x = 57.575757...
Subtracting the original x from 100x,
100x - x = 57.575757... - 0.575757...
99x = 57
To obtain x, divide both sides by 99:
x = 57/99
Dividing both the numerator and denominator by 3,
x = (57/3) / (99/3)
x = 19/33
Therefore,
0.57 repeating can be expressed as the fraction 19/33 in simplest form.
Learn more about expressions here:
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3х^2–36 = — 84
can someone help me with this one
Answer:
No real solution.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
i dont know can someone help me
Answer:
x = 11/4
Step-by-step explanation:
[tex]\frac{x+8}{4} = \frac{6x+5}{8}[/tex]
Step 1: Cross-multiply.
[tex](x+8)*(8)=(6x+5)*(4)[/tex]
[tex]8x+64=24x+20[/tex]
Step 2: Subtract 24x from both sides.
[tex]8x+64-24x=24x+20-4x[/tex]
[tex]-16x+64=20[/tex]
Step 3: Subtract 64 from both sides.
[tex]-16x+64-64=20-64[/tex]
[tex]-16x=-44[/tex]
Step 4: Divide both sides by -16.
[tex]\frac{-16x}{-16} = \frac{-44}{-16}[/tex]
[tex]x = \frac{11}{4}[/tex]
22 + 14x = 14x + 22
Is this Commutative, Distributive, or Associative
Answer:
I think the answer is Associative.
Step-by-step explanation:
That's Commutative (a + b = b + a)
I hope Can to Help You ^_^
The area of max'ss room ,not incleding his closet is 235.675 square feet the area of his closet is 10.45 square feet what area of his room ,including the closet
Given :
Area of room excluding closet is , [tex]a=235.675\ ft^2[/tex] .
Area of closet is , [tex]b=10.45\ ft^2[/tex] .
To Find :
Area of max's room including the closet .
Solution :
Let , area of max's room including the closet is A .
So , Total area = Area of room excluding closet + Area of closet .
[tex]A=a+b\\\\A=(235.675+10.45)\ ft^2\\\\A=246.125\ ft^2[/tex]
Therefore , area of his room ,including the closet is 246.125 square feet .
Hence , this is the required solution .
Explain how you can write an equation for the given situation in standard form. One number is 5 more than a second number. The product of the two numbers is 891.
A) Let x be the smaller number, and then x+5 is the larger number. This means that x(x+5)=891, which can be rewritten as x^2+5x-891=0
B) Let x be the smaller number, and then x+5 is the larger number. This means that x+(x+5)=891, which can be rewritten as 2x-886=0
C) Let x be the smaller number, and then x+5 is the larger number. This means that x(x+5)=891, which can be rewritten as x^2+5x+891=0
D) Let x be the smaller number, and then x+5 is the larger number, This means that x+5/x=891, which can be rewritten as 890x-5=0
Answer:
you figure it out
Step-by-step explanation:
Number one is going to be N1
Number two is going to be N2
Product of the two numbers combined is going to be 891
N1= N2 +5
N1 + N2 = 891
(N2+5) + N2 = 891
N2 +5 +N2 =891
2N2 + 5 =891
im gonna let you figure the rest out