Point M is on line segment LN. Given LN = 9, MN = 4x, and LM=5x
determine the numerical length of MN
Answer : MN =
Answers
Answer:
MN = 4
Step-by-step explanation:
Given that L, M, N are collinear,
LN = 9,
MN = 4x
LM = 5x
Required:
Length of MN
SOLUTION:
To calculate the numerical length of MN, we need to find the value of x.
To find the value of x, generate an equation to solve for x as follows:
[tex] LM + MN = LN [/tex] (segment addition postulate)
[tex] 5x + 4x = 9 [/tex] (substitution)
Solve for x
[tex] 9x = 9 [/tex]
Divide both sides by 9
[tex] \frac{9x}{9} = \frac{9}{9} [/tex]
[tex] x = 1 [/tex]
MN = 4x
plug in the value of x
MN = 4(1) = 4
Related Questions
What are two consecutive integers of 184
Answers
absolute value of -3 |xy|
Answers
Answer:
|-3| = 3
Step-by-step explanation:
Central Park in New York City is shaped like a rectangle. On a map of the park
in the coordinate plane, three of the vertices are located at (-1.25, -0.25),
(-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the
perimeter of Central Park? Show your work,
Answers
Answer:
6
Step-by-step explanation:
Given that the coordinate plane, three of the vertices of the rectangle are located at (-1.25, -0.25),
(-1.25, 0.25), and (1.25, 0.25)
The length L of the shape will be:
L = 0.25 - ( - 0.25 )
L = 0.25 + 0.25
L = 0.5
The width of the shape will be:
W = 1.25 - ( - 1.25)
W = 1.25 + 1.25
W = 2.5
Perimeter P = 2L + 2W
Substitute the Length and the width into the formula
P = 2(0.5) + 2(2.5)
P = 1 + 5
P = 6 metres
Therefore, the perimeter of the shape is 6 metres
For f(x)=4x+1 and g(x) x2-5, find (g/f)
Answers
Answer:
(f+g) (x)=x^2+4x-4
Step-by-step explanation:
add them together
f(x)+g(x)
14x+1+x^2-5
x^2+4x-4
(f+g)(x)+x^2+4x-4
Explanation:
(g/f)(x) = (x^2 - 5)/(4x + 1)
Round to the nearest hundred thousand. 636,665
Answers
Answer:
600,000
Step-by-step explanation:
I think that it will be 600,000 because the 3 is below 5 which you can not round anything that is below 5.This what I look at when i Round and it may or may not be helpful to other people:
5 or more raise the score
4 or less let it rest
That is what I learned.
Identify the terms, variables, coefficients and constants in each expression -4a-7b+5+c & 7-5h-2-k & 5-4x-8y & 9k+7-k+4 & -5a-7+5d+h & 7m-5-n-8k
Thank you!
Answers
Problem 1
Answers:Terms = -4a, -7b, 5, cVariables = a, b, cCoefficients = -4, -7, 1Constants = 5---------------------
Explanation:
Each term is separated by a plus sign. If we had something like -4a-7b, then rewrite it as -4a+(-7b). This works because subtraction is really adding a negative. Example: 2-3 = 2+(-3)
So the original expression becomes -4a+(-7b)+5+c and we see there are four terms here.
The terms with the variables are -4a, -7b and c. The variables are simply letters so we just say a,b,c are the variables. The coefficients are the numbers to the left of the variables. For the term c, it is really 1c, so the coefficient is 1.
The constant is the term without a variable multiplied with it. So that would be the 5. As the name suggest, the constant term does not change based on whatever the variables are.
=========================================================
Problem 2
Answers:terms = 7, -5h, -2, -kvariables = h,kcoefficients = -5, -1constants = 7, -2--------------------------------------
Explanation:
We'll follow the same idea as problem 1.
Rewrite 7-5h-2-k as 7+(-5h)+(-2)+(-k) and we see there are four terms.
The term -k is the same as -1k, so the coefficient is -1
The variables this time are h,k as those are the two letters that show up.
The constants are 7 and -2 because no variables are attached to them.
=========================================================
I'll let you do the rest. If you're still stuck, then please let me know
Help me I need the answer ASAP ! Aundrea painted the background of a square mural on the wall using 138ft^2 of paint .which measurement is closest to the side length of this mural in feet ?
A.69 ft
B.12 ft
C.139 ft
D.35 ft
Answers
Hey there! I'm happy to help!
Since this mural is a square, all the sides are the same. This means that you square on of the sides to get the area (multiply it by itself). If we have the area and want to find a side, we just go backwards and use something called the square root!
If we plug this into our calculators...
√138≈11.74734
We see that is closest to B. 12 ft.
You could also figure this out without a calculator. 138 is very close to 144, which is 12². All the other answer options are way too big.
Have a wonderful day! :D
In the answer space below, provide one of the two positive integers whose product is 196 and whose sum is a minimum.
Answers
Answer:
14
Step-by-step explanation:
The value of two positive integers are 14 and 14.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Product of two positive integers are 196.
Sum of two positive integers are minimum.
Now,
Let two positive integers are x and y.
Since, Product of two positive integers are 196.
So, we can formulate;
xy = 196 ... (i)
And, Sum of two positive integers are minimum.
So, we can formulate;
s = x + y
From equation (i);
y = 196/x
Substitute in above equation, we get;
s = x + y
s = x + 196/x
Differentiate with respect to x as;
d/dx (s) = d/dx(x + 196/x)
ds/dx = 1 - 196/x² ... (ii)
Substitute ds/dx = 0, we get;
ds/dx = 1 - 196/x² = 0
1 - 196/x² = 0
1 = 196/x²
x² = 196
x = ± 14
Differentiate equation (ii) again;
d²s/dx² = 0 - (-2 × 196)/x³
d²s/dx² = 392/x³
At point x = 14,
d²s/dx² = 392/8³ > 0
Hence, At x = 14, the value is minimum.
So, we get;
xy = 196
at x = 14
y = 196/14
y = 14
Hence, The value of two positive integers are 14 and 14.
Learn more about the product visit:
https://brainly.com/question/13778771
#SPJ2
Martin decided to buy 2 bags of grapes weighing 5 and two-thirds pounds each, instead of the 3 bags weighing 4 and one-fifth pounds each, because the bigger bags were on sale. Did he end up with more grapes or less grapes by buying the bigger bags?
Answers
Answer:
Martin ended up buying less grapes by buying the bigger bag.
Step-by-step explanation:
5 ⅔ + 5 ⅔ = 10 4/6
4 ⅕ + 4 ⅕ + 4 ⅕ = 12 3/15
Answer:D
Step-by-step explanation: hope this helps
Which percent is equivalent to 2.5?
2.5%
25%
250%
2,500%
Please hurry
Answers
Move the decimal point 2 spots to the right to go from 2.5 to 250%
Another example would be that 0.76 converts to 76%
Answer:
c
Step-by-step explanation:
2 to the power of -3 simplified
Answers
Answer:
= 1/8 or 0.125
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
A negative x a negative makes a positive
what is a two variable linear equation
Answers
Answer: Linear equations in two variables. If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by = r.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
It's an equation that has two variables
that's to say it has x and y (generally)
it is linear when you graph it, it forms a line and that only happens when the mayor exponent is one
so
[tex](something_1)x^{1}+(something_2)y^{1} =(something_3)[/tex]
notice all the something are completely different
or you could find it as
[tex]y=mx+b[/tex]
where m is the slope
and b some number
so that's it
2/3 of a number -11. Please help
Answers
Answer:
(2/3)x = -11
x = -33/2
Step-by-step explanation:
2/3 of a number is -11.
Let the unknown number be x.
2/3 of x is -11.
(2/3)x = -11
Multiply both sides by 3/2.
(3/2)(2/3)x = (3/2)(-11/1)
x = -33/2
please answer quickly!
Answers
Answer:
tanx
Step-by-step explanation:
tan=TOA
opp/adj
x=p/r
A fitness center offers boxing classes for $15 per class and sells a set of boxing gloves for
$15.95. Josh paid a total of $135.95 to the fitness center for boxing classes and a set of gloves.
How many boxing classes did Josh attend?
Answers
Answer:
8
Step-by-step explanation:
total paid: $135.95
cost of gloves: $15.95
amount for classes: $135.95 - $15.95 = $120
cost of each class: $15
number of classes: $120/$15 = 8
Answer: 8 classes
plz help i will mark you branlyest also plz answer both questions
Answers
Answer:
D(1, -2)
E(3, -4)
Which of the following statements is true
regarding the solutions to the quadratic
equation 5x2 + 6x + 2 = 0?
Answers
Answer:
c. This quadratic equation has two complex solutions.
Step-by-step explanation:
Of the choices ...
a. This quadratic equation has exactly one real solution.
b. This quadratic equation has two real solutions.
c. This quadratic equation has two complex solutions.
d. This quadratic equation has no solutions.
The one that is true is c: two complex solutions.
__
The discriminant of quadratic ax^2 +bx +c = 0 is ...
d = b^2 -4ac
For this quadratic, the value is 6^2 -4·5·2 = -4.
When the discriminant is positive, there are two distinct real solutions.
When the discriminant is zero, there is one real solution.
When the discriminant is negative, there are two complex solutions. The discriminant of this quadratic is negative, so there are two complex solutions.
What is the slope between the points (3,1) and (4,-1)
Answers
Answer:
Step-by-step explanation:
(-1 - 1)/(4 - 3)= -2/1= -2
y - 1 = -2(x - 3)
y - 1 = -2x + 6
y = -2x + 7
Answer:
-2
Step-by-step explanation:
-1 -1
4-3
-2/1= -2
S=Ut + 1\2 at^2
U=10 a=-2 t=1\2
Work out the value of S
Hope u guys get this!
Answers
=5+ (-1)(0.25)
=5-0.25
=4.75
Hope this can help.
what is 3 3/4 as a decimal
Answers
Answer:
3.75
Step-by-step explanation:
Answer: 3.75
Step-by-step explanation: 3/4=.75 so add 3 and you get 3.73
2(x + 4) = 4x + 3 - 2x + 5
Answers
2x + 8 = 2x + 8
2x-2x= 0
8-8=0
1/9 + 1/9 = * Your answer This is a required question
Answers
Answer:
2/9 obvi
Step-by-step explanation:
Solve the equation 3+
х
* = 10.
X=
Answers
Answer:
x=7
Step-by-step explanation:
subtracting 3 from both sides, you get x=7.
Math problem giving brainlist and points!!
Answers
Answer:
It would be B
Step-by-step explanation:
2/m-5=3/m+5 solve for m
Answers
Answer:
-1/10
Step-by-step explanation:
Answer: m= −1 /10
Step-by-step explanation:
2 m −5= 3 m +5
2 m +−5= 3 m +5
Multiply all terms by m and cancel:
2+−5m=3+5m
−5m+2=5m+3(Simplify both sides of the equation)
−5m+2−5m=5m+3−5m(Subtract 5m from both sides)
−10m+2=3
−10m+2−2=3−2(Subtract 2 from both sides)
−10m=1
−10m
−10
=
1 −10
(Divide both sides by -10)
m= −1 /10
Check answers. (Plug them in to make sure they work.)
m=
−1 /10
(Works in original equation)
m= −1 /10
What is the following expression when simplified 5x + 8(5 + 2x)?
Answers
Answer:
5x+56
Step-by-step explanation:
5x+8(5+2)
5x+8(7)
Step-by-Step:
1) Distribute the 8 to both the 5 and 2x by multiplying.
5x + 40 + 16x
2) Combine like terms.
21x + 40
The size of a playground is 160 feet by 360 feet. A model is created that measures 4 inches by 9 inches. Is it a rate, ratio only or a proportion?
Answers
Answer:
The model is made in a 1:40 ratio
Step-by-step explanation:
How many times is 4 multiplied to be equal to 160?
4(x) = 160
X = 160 / 4
X = 40
The proportion, rate, and ratio are almost the same.
They represent the correspondence between the parts and the whole since they all express a binary relationship between the quantities, that is, objects, people, tablespoons.
If the ratio is 1: 2 it could be read that for every 1 there are 2.
For example 1: 2 cups; For every cup of something there are 2 cups of something else.
In this case, 1:40; For every inch of the model, there are 40 feet in the playground.
Carol walks a circular path with a radius of 280 yards at the local park. How far does she walk? round your answer to the nearest tenth.
Answers
Answer:
1508.6
Step-by-step explanation:
circumference=2πr
=2×22/7×240
=1508.57
=1508.6
divide 0.12 by 0.04. That means we want to find out how many times 0.04, or four-hundredths, goes into 0.12, or twelve-hundredths.
Answers
Answer:
3
Step-by-step explanation:
0.12 ÷ 0.04
if we want to calculate without calculator ,
multiply both nenominator and denominator by 100;
Then,
(0.12×100)÷(0.04 ×100)
= 12÷4
= 3
You are choosing between two different cell phone plans. The first plan charges a rate of 22 cents per minute. The second plan charges a monthly fee of $34.95 plus 8 cents per minute. Let t be the number of minutes you talk and C1 and C2 be the costs (in dollars) of the first and second plans. Give an equation for each in terms of t, and then find the number of talk minutes that would produce the same cost for both plans (Round your answer to one decimal place). C1= C2= If you talk for minutes the two plans will have the same cost.
Answers
Answer:
249.64285714 minutes
Step-by-step explanation:
Let
The number of minutes you talk = t
C1 = Cost in dollars of the first plan
C2 = Cost in dollars of the second plan
First plan
The first plan charges a rate of 22 cents per minute
Converting cents to dollars
100 cents = 1 dollars
22 cents =
22/100 cents
=$ 0.22
C1 = $0.22 × t
C1 = 0.22t
Second Plan
The second plan charges a monthly fee of $34.95 plus 8 cents per minute.
Converting cents to dollars
100 cents = 1 dollars
8 cents =
8/100 cents
=$ 0.08
C2 = $34.95 + 0.08t
Find the number of talk minutes that would produce the same cost for both plans
We would Equate C1 to C2
C1 = C2
0.22t = $34.95 + 0.08t
Collect like terms
0.22t - 0.08t = $34.95
= 0.14t = $34.95
Divide both sides by 0.14
= t = $34.95/0.14
t = 249.64285714
Therefore, the number of talk minutes that would produce the same cost for both plans is 249.64285714 minutes.