Answer:
y= -1/15x + 16/15
Step-by-step explanation:
When two lines are perpendicular to each other that means their slopes are the negative reciprocals of each other.
So that means if a line has has a slope of 6, a line perpendicular to that line will have a slope of -1/6.
(a reciprocal is when the fraction is flipped over)
In this case, the negative reciprocal of 15 would be -1/15. So the slope of the line that is perpendicular would be -1/15.
The equation we would have so far for that line would be: y=-1/15x+b
Now we have to find the 'b' or the y intercept, which we can get by plugging in the point that was given (1,1), which is on that line.
Which gives us 1=-1/15(1)+b.
1=-1/15+b
1+1/15=b
Then you solve for b and get b= 16/15.
The equation of the line that is perpendicular to the given line is y= -1/15x + 16/15.
The equation of the line that passes through the point (1, 1) and is perpendicular to y = 15x + 45 is
y = 15x - 14.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Let the equation of a line is y = mx + c.
The line is perpendicular to y = 15x + 45.
y = 15x + 45 is in the form of y = mx + c
This means,
Slope = 15
m = 15
The line passes through the point (1, 1) = (x, y).
This means,
y = mx + c
1 = 15 x 1 + c
1 = 15 + c
c = 1 - 15
c = -14
The equation of the line is y = 15x - 14.
Thus,
The equation of the line that passes through the point (1, 1) and is perpendicular to y = 15x + 45 is
y = 15x - 14.
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−3x−8y=−8 y=2−x Is (0,1)(0,1)left parenthesis, 0, comma, 1, right parenthesis a solution of the system?
Answer:
(0,1) is not the solution to the equation
Step-by-step explanation:
Given:
−3x − 8y = −8 (1)
y = 2 − x (2)
Substitute (2) into (1)
−3x − 8y = −8 (1)
- 3x - 8(2 - x) = -8
- 3x - 16 + 8x = -8
- 3x + 8x = -8 + 16
5x = 8
x = 8/5
Substitute x = 8/5 into (2)
y = 2 − x (2)
= 2 - 8/5
= (10-8) / 5
= 2/5
y = 2/5
Solution to the equation:
(x, y) = (8/5, 2/5)
Therefore,
(0,1) is not the solution to the equation
Can someone help me please this is my last one
Answer:
Domain and range: [0, ∞)
Step-by-step explanation:
There is no limit to the number of concert tickets someone can buy, but there cannot be negative concert tickets. The domain, or what the input can be, is [0, ∞) as it can be greater than or equal to 0
The range is the total cost, or what the output can be. Since the total cost is the number of tickets multiplied by 55 (as it is $55 per ticket), this can be represented by 55 * number of tickets. The total cost cannot be negative, but it can be 0 if no one buys tickets. As there is no limit to the amount of tickets someone can buy, there is no limit to what the total cost could be, making the range [0, ∞)
Which set of numbers includes only integers?
a.)Negative 5, negative 3 and one-fourth, 1, one-eighth
b.)Negative 3, negative 2, 2, 3
c.)Negative 6, negative 4, negative 2, negative one-half
d.)One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0
Answer:
a
Step-by-step explanation:
in integer there will negative ,positive or rational number
I need help please, Model 3: Another plan to secure
Answer: Cant see the photo
Step-by-step explanation:
I cannot really see the photo
Sabe-se que EF = xcm , GH = (x + 6) cm , RS = 16 cm e NP = 28 cm . Sabendo que EF ,GH , RS ,e NP São, nessa ordem, segmentos proporcionais, determine o valor de x .
Answer:
The value of x is 8 .
Step-by-step explanation:
It is known that EF = x cm , GH = (x + 6) cm , RS = 16 cm and NP = 28 cm . Knowing that EF ,GH , RS , and NP are, in that order, proportional segments, determine the value of x .
As EF, GH, RS and NP are in proportion
So,
EF : GH = RS : NP
[tex]\frac{x}{x+6}=\frac{16}{28}\\\\7 x = 4 (x + 6)\\\\7 x = 4 x + 24 \\\\3 x = 24 \\\\x = 8[/tex]
Help and explain pls and ty
[tex]\displaystyle\bf (3-5\sqrt{5} )-(5\sqrt{3} -3)=3+3-5\sqrt{5} -5\sqrt{3} =\boxed{6-5\sqrt{5} -5\sqrt{3} } \\\\\\\\\sqrt{5} (\sqrt{5} -2x)=\boxed{-2x\sqrt{5} +5}[/tex]
The transformation which will map triangle PQR onto P'Q'R is
Given:
The graph of triangle PQR and triangle P'Q'R'.
To find:
The transformation that will map the triangle PQR onto P'Q'R'.
Solution:
From the given graph it is clear that the triangle PQR is formed in II quadrant and its base lies on the negative direction of x-axis.
The triangle P'Q'R' is formed in IV quadrant and its base lies on the positive direction of x-axis.
This is possible it the figure is rotated 180 degrees about the origin.
Therefore, the correct option is A.
How do I find question number 43
Answer:
[tex]8)79 + .3y |1| 5131x - 2884 \frac{ {8 - { { - 44 - {516}^{ |?| } }^{?} }^{?} }^{2} }{?} 5 - {1 {y {1 {40091 - \times \frac{?}{?} }^{?} }^{2} }^{2} }^{2} 444 = .3 = 547 - 274[/tex]
pleasee help me,A train travels from station P to station Q at a speed of 90km/h in 3hours 40minutes.The train stops at station Q for 25minutes before returns to station P.The time taken from station P to station Q.Calculate the average speed,in km/h,of the whole journey of the train
solve for x -3x+2=-11 please
Answer:
6.5
Step-by-step explanation:
We need to solve out for x , the given Equation is ,
[tex]: \implies[/tex] x - 3x + 2 = -11
[tex]: \implies[/tex] -2x = -11 -2
[tex]: \implies[/tex] -2x = -13
[tex]: \implies[/tex] x = -13/-2
[tex]: \implies[/tex] x = 6.5
Answer:
x = 6.5
Step-by-step explanation:
[tex]x - 3x + 2 = - 11 \\ - 2x + 2 = - 11 \\ - 2x = - 11 - 2 \\ \frac{ - 2x}{ - 2} = \frac{ - 13}{ - 2} \\ x = + 6.5 [/tex]
STREAM WALLS BY LOUIS TOMLINSON
Answer:
OMG I LOVE LOUIS SO MUCH HE IS SO PERFECT
Step-by-step explanation:
can someone please help me solve this? thank you!:)
First, we need to set up our two equations. For the picture of this scenario, there is one length (L) and two widths (W) because the beach removes one of the lengths. We will have a perimeter equation and an area equation.
P = L + 2W
A = L * W
Now that we have our equations, we need to plug in what we know, which is the 40m of rope.
40 = L + 2W
A = L * W
Then, we need to solve for one of the variables in the perimeter equation. I will solve for L.
L = 40 - 2W
Now, we can substitute the value for L into L in the area equation and get a quadratic equation.
A = W(40 - 2W)
A = -2W^2 - 40W
The maximum area will occur where the derivative equals 0, or at the absolute value of the x-value of the vertex of the parabola.
V = -b/2a
V = 40/2(2) = 40/4 = 10
Derivative:
-4w - 40 = 0
-4w = 40
w = |-10| = 10
To find the other dimension, use the perimeter equation.
40 = L + 2(10)
40 = L + 20
L = 20m
Therefore, the dimensions of the area are 10m by 20m.
Hope this helps!
Answer:
Width: 10 m
Length: 20 m
Step-by-step explanation:
Hi there!
Let w be equal to the width of the enclosure.
Let l be equal to the length of the enclosure.
1) Construct equations
[tex]A=lw[/tex] ⇒ A represents the area of the enclosure.
[tex]40=2w+l[/tex] ⇒ This represents the perimeter of the enclosure. Normally, P=2w+2l, but because one side isn't going to use any rope (sandy beach), we remove one side from this equation.
2) Isolate one of the variables in the second equation
[tex]40=2w+l[/tex]
Let's isolate l. Subtract 2w from both sides.
[tex]40-2w=2w+l-2w\\40-2w=l[/tex]
3) Plug the second equation into the first
[tex]A=lw\\A=(40-2w)w\\A=40w-2w^2\\A=-2w^2+40w[/tex]
Great! Now that we have a quadratic equation, we can do the following:
Solve for its zeros/w-intercepts.Take the average of the zeros to find the w-variable of the vertex. (The area (A) in relation to the width of the swimming area (w) is what we've established in this equation, and the area (A) is greatest at the vertex. Finding the value of w of the vertex will tell us what the width needs to be for the area to be at a maximum.)Plug this w value into one of the equations to solve for l4) Solve for w
[tex]A=-2w^2+40w[/tex]
Factor out -2w
[tex]A=-2w(w-20)[/tex]
For A to equal 0, w=0 or w=20.
The average of 0 and 20 is 10, so the width that will max the area is 10 m.
5) Solve for l
[tex]40=2w+l[/tex]
Plug in 10 as w
[tex]40=2(10)+l\\40=20+l\\l=20[/tex]
Therefore, the length of 20 m will max the area.
I hope this helps!
If a apple cost d dollars, which of the following expressions gives the cost for 20 apples in dollars?
Answer:
$ 20d
Step-by-step explanation:
Since each Apple costs d dollars , therefore 20 will cost , $ 20d .
The correct expression that gives the cost of 20 apples, in dollars, is 20a/d. So, correct option is A.
To find the cost of 20 apples, we need to determine the expression that correctly calculates the cost based on the given variables.
Given that a represents the cost of one apple in dollars and d represents the number of dollars, we can identify the expression that calculates the cost of 20 apples.
Let's analyze each option:
A. 20a/d: This expression calculates the cost of 20 apples by multiplying the cost of one apple (a) by 20 and then dividing by d. Therefore, this expression correctly gives the cost of 20 apples in dollars.
B. 20d/a: This expression calculates the cost of 20 apples by multiplying the number of dollars (d) by 20 and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.
C. a/20d: This expression calculates the cost of 20 apples by dividing the cost of one apple (a) by 20 and then dividing by d. This does not give the correct cost of 20 apples.
D. 20/ad: This expression calculates the cost of 20 apples by multiplying 20 by d and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.
Therefore, the correct expression that gives the cost of 20 apples, in dollars, is A. 20a/d.
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Complete question is:
If a apples cost d dollars, which of the following expressions gives the cost of 20 apples, in dollars?
A. 20a/d
B. 20d/a
C. a/20d
D. 20/ad
Sandra needs a new bicycle tire. Her tire has a circumference of about 113,04 inches. What is the radius of her tire?
Answer:
113,04 square root is 10.632027088 divided by Pi
3.38427933228
so the radius of her tire is 3.38
Hope This Helps!!!
a drinks company use 76.8 kg of sugar in April .How much sugar the day use each day?
Answer:
2.56 kgs
Step-by-step explanation:
76.8kg ÷ 30 days = 2.56 kgs
Amount of sugar used - 76.8 kg
No. Of Days in Month of April - 30 days
∴ Sugar used each day is = 76.8 ÷ 30
[tex]76.8 \div 30 \\ \\ = \frac{76.8}{30} \\ \\ = \frac{768}{30 \times 10} \\ \\ = \frac{ \cancel{768}}{ \cancel{30} \times 10} \fbox{cancelling by 3} \\ \\ = \frac{256}{10 \times 10} \\ \\ = \frac{256}{100} \\ \\ = 2.56 \: kg[/tex]
So 2.56 kg is used everyday.Hope This Helps YouWhich is the equation of a line perpendicular to the line with the equation: y = −14x + 7
y = -4x - 7
y = 4x + 2
y = 14x − 12
y = −14x + 3
PLEASE HELP ASAP!!!!
Use the graph of ƒ to find x if ƒ(x) = 2.
x = –0.5
x = –8
(–∞, –0.5)
x = 0.5
Answer:
[tex]{ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}[/tex]
-4y=-20
Graph each line that represents each linear equation
Answer:
y = 5
Step-by-step explanation:
The given equation to us is
⇒ -4y = -20
⇒ y = -20/-4
⇒ y = 5
Therefore this line will pass 5 units away from y axis. For graph refer to the attachment .
More Information :-
The equation of x axis is y = 0 The equation of y axis is x = 0 .HELP SOMEONE PLSSSSS
Classwork Let's tick (V) the correct answer.
a) The terms of expression 5x2 – 3xy are (i) 5x² and 3xy (ii) x and xy (iii) 5x2 and - xy
Answer:
Option i
Step-by-step explanation:
The given expression is , 5x² - 3xy .
We can clearly see that there are two terms in the expression , 5x² and 3xy .
Therefore option (i) is correct .
What are the solutions to the equation?
Answer:
x = -4 ±3
x = -7,-1
Step-by-step explanation:
x^2 + 8x = -7
1/2 B ^ 2 = 16
x^2 + 8x + 16 = 16 -7
(x + 4) ^2 = 9
x + 4 = ±3
x = -4 ±3
x = -7,-1
How do I write 7^2 (4 - 15x) in written form?
Answer:
square of 7 times 4-15xhope it helps
stay safe healthy and happy...Pls answer this pls pls
1) 520
2)60
3)2600
4)3760
Answer:
1. 520
2. 60
3. 2600
4. 3760
Step-by-step explanation:
[tex]{hope it helps}}[/tex]
A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the height of the prism is placed inside the prism, as shown in the figure.
The volume of the space outside the pyramid is _ cubic centimeters.
Answer:
the answer is 200cm^3
explication
How many ways can you order a hamburger if you can order it with or without cheese, ketchup, mustard, bacon, mayo, or lettuce?
1. 66
2. 69
3. 64
4. 68
Answer:
64
Step-by-step explanation:
2x2x2x2x2x2 = 64
Help me out please, thank you
Answer:
The answer is D (-0.7)
Step-by-step explanation:
Using d formular,a is 1,b is -5,c is -4
Input ur values and u will get ur answer
Find (f9)(x).
A.
B.
C.
D.
Answer:
(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)
Step-by-step explanation:
Mathematically;
(fg)(x) = f(x) * g(x)
so we have;
4x^2 +x^4 * √(x^2 + 4)
But √(x^2 + 4) = (x^2 + 4)^(1/2)
So we have;
(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)
please help me! im having trouble
Answers:
3 chocolate cones
1 strawberry cones
===========================================================
Explanation:
Let's isolate the variable c in the first equation
c+s = 4
c = 4-s
we subtract s from both sides to get c all by itself. This will then be plugged into the second equation. I'm using the substitution property.
1.75c + 1.3s = 6.55
1.75(4-s) + 1.3s = 6.55 ..... replace c with 4-s
1.75*4 + 1.75*(-s) + 1.3s = 6.55
7 - 1.75s + 1.3s = 6.55
-0.45s + 7 = 6.55
-0.45s = 6.55 - 7
-0.45s = -0.45
s = -0.45/(-0.45)
s = 1
So he bought 1 strawberry cone. Use this value of s to find c
c = 4-s
c = 4-1
c = 3
This says he also bought 3 chocolate cones.
-------------------
As a check, we see that c+s = 3+1 = 4, showing that he bought 4 cones total.
Also,
1.75c + 1.3s = 1.75*3 + 1.3*1 = 6.55
indicating he spent $6.55 total for the four cones. This matches with what the instructions tell us, so the answer is confirmed.
Answer:
Step-by-step explanation:
[tex]\left \{ {{c+s=4} \atop {1.75c+1.3s=6.55}} \right.[/tex]
1.75c + 1.75s = 1.75 × 4 ........ (1)
1.75c + 1.3s = 6.55 ........ (2)
(1) - (2)
0.45s = 0.45 ⇒ s = 1
c + 1 = 4 ⇒ c = 3
[ 3 ] chocolate [ 1 ] strawberry
__1. What is the other term for Q3?
2. What measure of position is divided into four equal parts?
3. How many equal parts is the quartile divided into?
4. How many percentile is equivalent to Q1?
5. What is the other term for Median?
_6. What is the equivalence of D2 to Percentile?
7. What measure of position is divided into 10 equal parts?
_8. What measure of position is divided into 100 equal parts?
9. What is the decile equivalence of P80?
10. What quartile is equivalent to P75?
Answer:
1. The third quartile
2. The quartile
3. Four
4. 25
5. The second quartile, Q₂
6. 20th percentile
7. Decile
8. Percentile
9. D₈
10. The third quartile, Q₃
Step-by-step explanation:
1. The other term(s) for Q₃ is third quartile (or upper quartile). It is the mid point between the distribution's largest number and the median
2. The measure of position divided into four equal parts is the quartile
3. The quartile is the division of the data at three points (Q₁, Q₂, and Q₃) into four equal parts equal parts
4. Q₁, which is the first quartile is equivalent to the 25th percentile
5. The other term for the median is the second quartile, Q₂
6. D₂ which is the second decile (a decile divides the data into 10 equal parts) is equivalent to 20th percentile
7. The decile, D, divides a given data into 10 equal parts
8. The percentile divides a given data into 100 equal parts
9. The decile equivalent to P80, which is the 80th percentile, is D₈
10. The quartile equivalent to P75, which is the 75th percentile or the three quarter mark point of the data is equivalent to the the third quartile, Q₃
Which one of these would be geometry or is it none of the above.