Answer:
2y+x = 5Step-by-step explanation:
Given the line L1 as y = 2x perpendicular to an unknown line L2 passing through the point P = (1, 2), we are to find the equation of line L2. to find the equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)
m is the slope of the unknown line
(x₀, y₀) is the given point.
First is to get the slope of the known line:
comparing the line L1: y = 2x with the standard equation of the line y = mx+c, it can be seen that m = 2
Then we will calculate the slope of the required line.
Since L1 is perpendicular to L2, the product of their slope will be -1 i.e
mm₁ = -1 where m₁ is the slope of the required line L2.
Given m =2
m₁ = -1/m
m₁ = -1/2
Finally we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;
y-y₀ = m(x-x₀)
Given (x₀, y₀) = (1,2) and m₁ = -1/2
y-2 = -1/2(x-1)
open the parenthesis
y-2 = -x/2+1/2
multiply through by 2:
2y-4 = -x+1
2y+x = 1+4
2y+x = 5
Hence the equation of the line L2 is 2y+x = 5
Yolanda will be travelling out of town for business. During her travel, she is scheduled to have 4 dinners, 5 lunches, and 3 breakfasts. Her employer will pay her
for these meals at the following rate:
$21.50 for dinner, $12.15 for lunch, and $5.73 for breakfast.
What is the total amount Yolanda will be paid for these meals?
Answer:
$163.94
Step-by-step explanation:
4 dinners at $21.50 each
5 lunches at $12.15 each
3 breakfasts at $5.73 each
4 • 21.50 = $86
5 • 12.15 = $60.75
3 • 5.73 = $17.19
86 + 60.75 + 17.19 = 163.94
Answer:
$163.94
Step-by-step explanation:
Dinners
Yolanda will have 4 dinners and each dinner costs $21.50
Multiply 4 and 21.50
⇒ 4 * 21.50
⇒ 86 = $86
Lunches
She will have 5 lunches that each cost $12.15
Multiply 5 and 12.15
⇒ 5*12.15
⇒ 60.75 = $60.75
Breakfasts
Yolanda is going to have 3 breakfasts at $5.73 for each breakfast.
Multiply 3 and 5.73
⇒ 3*5.73
⇒ 17.19 = $17.19
Find the total. Add the cost for dinners, lunches and breakfasts together.
$86 + $60.75 + $17.19
$163.94
Yolanda will be paid $163.94 for the meals.
Solve x[tex]x^{2} = 225[/tex]
Hi there!
~
Let's solve your equation step-by-step.
[tex]x^{2} =\ 255[/tex]
Step 1: Take square root.
[tex]x =[/tex] ± [tex]\sqrt{255}[/tex]
[tex]x = \sqrt{255}[/tex] or [tex]= - \sqrt{255}[/tex]
Hope this helped you!
5. A real estate agent earns 3.5% commission on the selling price of a home. Find the commission
earned on the sale of a $300,000 home.
$10,500
$5,500
$9,500
$3,500
how many is 18 thousands x 10
two consecutive integers who sum of 111
Answer:
55 and 56
Step-by-step explanation:
Let the first number = k
the second number = k + 1
k + k + 1 = 111
2k + 1 = 111
2k = 111 - 1
2k = 110
k = 110/2
k = 55
The two numbers are 55 and 56
Give the next three terms in each Arithmetic Sequence and the common difference
Answer:
A) Sequence: -5, -10, -15, -20, -25, -30, -35, -40 cd = -5
B) Sequence: -1, 2, 5, 8, 11, 14, 17, 20 cd = 3
C) Sequence: 17, 19, 21, 23, 25, 27, 29, 31 cd = 2
D) Sequence: 11, 16, 21, 26, 31 , 36, 41, 46 cd = 5
E) Sequence: -9, -6, -3, 0, 3, 6, 9, 12 cd = 3
Step-by-step explanation:
A) Sequence: -5, -10, -15, -20, -25
The common difference (cd) - which is the number that we need to add to each term in order to get the next - is -5
and the next three terms are: -30, -35, -40.
B) Sequence: -1, 2, 5, 8, 11,
The common difference is 3, cd = 3
so the next three terms in the sequence are; 14, 17, 20
C) Sequence: 17, 19, 21, 23, 25,
the common difference is 2, cd = 2
so the next three terms in the sequence are: 27, 29, 31
D) Sequence: 11, 16, 21, 26, 31
the common difference is 5, cd = 5
so the next three terms of the sequence are: 36, 41, 46
E) Sequence: -9, -6, -3, 0, 3,
the common difference is 3, cd = 3
so the next three terms in the sequence are: 6, 9, 12
A rectangle has a length of 5 root 26 i ched and a width of 2^1/5 inches find area if rectangle
Answer:
I believe the answer 2.2039 is if you meant inches by "i ched"
Step-by-step explanation:
Hope this helps
7. a. Use the distributive property to rewrite the equation.
Enter the new equation as your answer.
2 (x - 1) - 3 = 5
Enter your answer
8.b. Combine any like terms to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer.
Enter your answer
9.c Use addition or subtraction to rewrite the equation that you entered as an answer in part b.
Enter the new equation as your answer.
Enter your answer
10.d. Use multiplication or division to rewrite the equation that you entered as an answer in part c.
Enter the new equation as your answer."
Answer:
Hey there!
a.
2(x-1)-3=5
2x-2-3=5
b.
2x-5=5
c.
2x=10
d.
x=5
Let me know if this helps :)
Make up your own “which one doesn’t belong” example:
a. 8x^3-64
b. x^6+27y^3
c. 27-x^9
d. -x^3-8
what solution is -19=b-6
Answer:
b = -13
Step-by-step explanation:
Answer:
b = - 13
Step-by-step explanation:
Step 1:
-19 = b - 6
Step 2:
- 19 + 6 = b
Answer:
b = - 13
Hope This Helps :)
A function is described by the following ordered pairs: (7, 4.5) (–4, 7.2) (–7.2, –4) (5.2, 3) Which set of ordered pairs represents the inverse of the function? (7, –4), (–7.2, –4), (3, 5.2), (4.5, –4) (7, –4), (–7.2, 5.2), (4.5, 7.2), (–4, 3) (4.5, 7), (7.2, –4), (–4, –7.2), (3, 5.2) (7, 4.5), (–4, 7.2), (–7.2, –4), (5.2, 3)
Answer: (4,5,7) ,(7.2,-4),(-4,-7.2),(3,5.2)
Step-by-step explanation:
Answer:
it's C
Step-by-step explanation:
Two angles are supplementary if their sum is 180 degrees. The larger angle is 6 degrees more than five times the measure of the smaller angle. Let
x
represent the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.
Answer:
Step-by-step explanation:
x+y=180
y=5*x+6
so
x+5x+6=180
6x=180-6
6x=174
x=174/6
x=29 degrees
y=29*5+6
y=145+6=151
y=151 degrees
Please answer I will make you Brainliest The answer is not Carribean Plate!
Answer:
I am implying that the correct answer would be A, The Pacific plate.
Step-by-step explanation:
The Australian, Nazca and Pacific plates move up to four times faster than the smaller African, Eurasian and Juan de Fuca plates.
The 3 fastest plates:
Australian plateNazca platePacific plateWhat the square root of 50/ 250 (rounded to 2 decimal places)? * 0.45 0.44 0.47 0.46
Answer:
[tex]Root = 0.44[/tex]
Step-by-step explanation:
Required
Determine the square root of [tex]\frac{50}{250}[/tex]
Start by simplifying the fraction
[tex]Digit = \frac{50}{250}[/tex]
Divide the numerator and denominator by 50
[tex]Digit = \frac{1}{5}[/tex]
Next, determine the square root;
[tex]Root = \sqrt{\frac{1}{5}}[/tex]
Split the squarer root
[tex]Root = \frac{\sqrt{1}}{\sqrt{5}}[/tex]
[tex]Root = \frac{1}{\sqrt{5}}[/tex]
Rationalize
[tex]Root = \frac{1}{\sqrt{5}} * \frac{\sqrt{5}}{\sqrt{5}}[/tex]
[tex]Root = \frac{\sqrt{5}}{5}[/tex]
[tex]Root = \frac{2.2360679775}{5}[/tex]
[tex]Root = 0.4472135955[/tex]
[tex]Root = 0.44[/tex] --- Approximated
Equivalent expression to 3y+4-6y-2
Answer : the answer is -3y + 2
ZRQS, what
of one of the
Use the diagram shown.
re collinear.
5 and LN = 17.
alue of MN?
12. If mZ1 equals (2x + 3) and m23
equals (6x - 17), what is the value
of x? What is mZ1?
13. If m 2 equals (15a + 8) and m23
equals (5a - 8), what is the value
of a?
Cso that
hat is x?
Answer:
12. x = 5, m∠1 = 13°13. a = 9°Step-by-step explanation:
12..................................Given:
m∠1 = (2x + 3) m∠3 = (6x - 17) x? m∠1?Solution:
∠1 and ∠3 are vertical angles.
We know the property that vertical angles are equal:
2x + 3 = 6x - 176x - 2x = 3 + 174x = 20x = 5m∠1 = 2*5 + 3 = 13°13 ..................................Given
m ∠ 2 = (15a + 8) m ∠ 3 = (5a - 8)a = ?Solution
∠2 and ∠3 are supplementary angles.
We know the property that supplementary angles add up to 180°:
15a + 8 + 5a - 8 = 180°20a = 180°a = 180°/20a = 9°Sam hss 100 cheese slices to make sandwiches. The equation below can be used to find s, the number of sandwiches he can make based on c, the number of cheese slices per sandwich.
s=100/c
Which equation is the same when solved for c in terms of s?
F. C=100/c
G. C=s/100
H. C=100-s
J. C= s-100
h c=100-s thats the cooreect answer
Answer:
G
Step-by-step explanation:
ion kno how to explain♀️♀️
(I need help again)
Which number is farthest to the right
A. —15
B. —1
C. 0
D. 1
Find -5
A. -5
B. 5
C. 1/5
D. -1/5
Answer:
5
Step-by-step explanation:
on a graph all of the regular numbers are on the left
Find the slope of the line that passes through each
pair of points. Express as a fraction in simplest
form. (-2,6), (1,15)
Answer:
m = 3/1
Step-by-step explanation:
m = (y2 - y1)/(x2 - x1) = (15 - 6)/(1 - (-2)) = 9/3 = 3/1
Julie made 25 international long-distance phone calls to London last month. The scatterplot below shows the length and cost of each phone
call she made.
Cost of International
Long Distance Phone Calls
3
Cost of Call (dollars)
.
N
.
.
0
6 12 18 24
Length of Call (minutes)
Which conclusion is best supported by the scatterplot?
Answer:b
Step-by-step explanation:
Answer:d there is no relationship time and cost varies
Step-by-step explanation:
its conman sense
an investment of $5000 earned $1050 for 1 year. How much will an investment of $9000 earn at the same rate for 1 year?
Answer:
Amount earned (New investment) = $1,890
Step-by-step explanation:
Given:
Amount invested = $5,000
Earned = $1,050
New investment = $9,000
Find:
Amount earned (New investment)
Computation:
Amount earned (New investment) = [Earned / Amount invested]New investment
Amount earned (New investment) = [1,050 / 5,000]9,000
Amount earned (New investment) = $1,890
CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!
Answer:
11.4
Step-by-step explanation:
So we know that Triangle ACB is similar to Triangle EFD.
This means that their sides are proportional to each other.
We want to find x or side AB. To do so, we can set up a proportion.
The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:
[tex]\frac{AB}{ED}=\frac{BC}{DF}[/tex]
Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:
[tex]\frac{x}{3.8}=\frac{15}{5}[/tex]
Reduce the right:
[tex]\frac{x}{3.8}=\frac{3}{1}[/tex]
Cross multiply:
[tex]x=11.4[/tex]
So, the value of x is 11.4
And we're done!
What is 75% of 35 feet?
Answer:
26.25 feet
Step-by-step explanation:
A percentage is simply a ratio of the whole. If we assume 35 feet to be 100%, or the whole, then we can say the following:
0.75 * 35 == 26.25
Hence, 75% of 35 feet is 26.25 feet.
Cheers.
How do you do this question?
Step-by-step explanation:
F(x) = ∫ₓᵃ sin(2t) dt
Use the identity:
-F(x) = ∫ₐˣ sin(2t) dt
Take derivative using fundamental theorem of calculus.
-F'(x) = sin(2x)
F'(x) = -sin(2x)
Una prueba de resistencia se realiza en un circuito de 1.54 km.¿Cuántos kilómetros recorre el corredor si da 6 vueltas?
PORFAVOR AYUDA EN MENOS DE 15 MINUTOS
Answer:
La corredora correría 9 kilómetros y 24 pies.
Step-by-step explanation:
multiplique la longitud de una vuelta (1.54) por cuántos de ellos corrieron (6) para obtener cuántos kilómetros corrieron (9.24)
4) Given: f(x) = 4x – 1 g(x)= 3x - 2
Find:
f(x) + g(x)
f(x) *g(x)
f(g(x))
f(x) - g(x)
Step-by-step explanation:
f(x) = 4x - 1
g(x) = 3x - 2
1) f(x) + g(x) = (4x - 1) + (3x - 2)
= 4x - 1 + 3x - 2
= 4x + 3x -1 - 2 = 7x - 3
2) f(x) * g(x) = (4x - 1) * (3x - 2)
= 12x^2 - 8x - 3x + 2
= 12x^2 -11x + 2
3) f(g(x)) = 4(3x - 2) - 1
= 12x - 8 - 1
= 12x - 9
4) f(x) - g(x) = (4x - 1) - (3x - 2)
= 4x - 1 - 3x + 2
= 4x - 3x - 1 +2
= x + 1
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. 8/9
Answer:
Rational numbersStep-by-step explanation:
A rational number is a number that can be written as a ratio of two integers. The are expressed as fractions. Given the value 8/9, this value is a fraction and is written as a ratio of two integers 8 and 9.
The value is neither a real number, nor an integer because integers and whole numbers are not expressed as fractions.
Natural numbers are also whole numbers starting from 1 and above. Hence 8/9 is not a natural number as well.
Note that irrational numbers are also classified as real numbers and they can not be written as a ratio of two integers.
Conclusively, 8/9 is only classified as a rational number
Write 0.586 in simplest form
0.586 is already in simplest form but we can round if you choose to do so.
Round to the nearest hundreth.
0.586 -> 0.59
Round to the nearest tenth.
0.586 -> 0.6
Round to the nearest one.
0.586 -> 1
Best of Luck!
When conducting a survey, which of the following is a reason to use a random sample?1. To make cause-and-effect connections2. To avoid bias3. No answer text provided.4. To systematically favors the correct choice over every other choice on each question
Answer: 2. To avoid bias
Explanation:
The random sampling can be defined as the method of selecting the samples from the population of interest randomly. The main advantage of this method is to select the samples from the target population and eliminating the bias in sampling. The random sampling is least choice of sampling for research purpose as the researcher wants to choose only selected desired samples for the study.
Karen is working on a project that is due in 8 days.
So far, she has spent 3 2/5 hours on it and figures that she is about 4/8 done.
How many more hours will she need to spend on this project?
Express your answer as a decimal, rounded to the nearest hundredth
Given :
Karen spent 3 2/5 hours on it and figures that she is about 4/8 done.
To Find :
How many more hours will she need to spend on this project .
Solution :
Simplifying time spend in normal fraction .
[tex]t=3\dfrac{2}{5}=\dfrac{(3\times 5)+2}{5}\\\\\\t=\dfrac{17}{5}\ hours[/tex]
Now , time taken to complete full project .
[tex]x=\dfrac{17}{5} \times \dfrac{8}{4}\\\\x=6.8\ hours[/tex]
Therefore , hours required to complete the project is 6.8 hours .
Hence , this is the required solution .