Answer:
x = -1
Step-by-step explanation:
When two lines are parallel, they have the same slope. To find the value of x, we first have to find the slope of the other line. We can do this by inputting the given points (-7, 10) and (9, 2) into the expression [tex]\frac{y2-y1}{x2-x1}[/tex]:
[tex]\frac{10-2}{-7-9}[/tex]
Solve:
10 - 2 = 8
-7 - 9 = -16
8/-16 can be simplified to -1/2.
The slope of the first line is -1/2. Now we can input the points (1, 3) (x, 4) into the expression used to find slope and equal that expression to the value of the first line's slope. We can do this because we know the slopes will be equal to each other.
[tex]\frac{4-3}{x-1}[/tex] = -[tex]\frac{1}{2}[/tex]
First simplify the left side:
4 - 3 = 1
[tex]\frac{1}{x-1}[/tex] = -[tex]\frac{1}{2}[/tex]
Now, multiply both sides of the equation by x - 1 to isolate the x on the right side of the equation:
1 = [tex]\frac{-x+1}{2}[/tex]
Multiply both sides by 2:
2 = -x + 1
Subtract 1 from both sides:
1 = -x
Divide both sides by -1 to isolate the x:
-1 = x
The value of x is -1.
To check if our answer is correct we can put the value of x back into the expression used to find slope:
[tex]\frac{4-3}{x-1}[/tex]
[tex]\frac{4-3}{-1-1}[/tex]
Solve:
4 - 3 = 1
-1 - 1 = -2
The slope of the second line is -1/2, which is the same as the slope of the first line, which means that our answer is correct.
Hope this helps :)
Jasmine bought 3 chocolates for Dhs.12.34 and her brother Alan bought 2 packets of biscuits for Dhs 3.5 each. How much they paid in total?
Answer:
$39.02
Step-by-step explanation:
$12.34 *3=37.02
$3.5*2=7
37.02+7=39.02
Errol bought a skateboard helmet on sale at 40% off. The original price was $49.95. What is the amount of discount?
Answer:
[tex]Discount = \$19.98[/tex]
Step-by-step explanation:
Given
[tex]Amount = \$49.95[/tex]
[tex]Price\ Off = 40\%[/tex]
Required
Determine the discount
The discount is calculated by multiplying the price off by the original price:
[tex]Discount = Amount * Price\ Off[/tex]
[tex]Discount = \$49.95 * 40\%[/tex]
Convert % to decimal
[tex]Discount = \$49.95 * 0.40[/tex]
[tex]Discount = \$19.98[/tex]
Hence, the amount of discount is $19.98
3x – 8y > 32
what the answer
Answer:
y < 3/8x-4
Step-by-step explanation:
Jackson hikes 220.2 meters up a mountain. If he is 60% of the way up, how tall is the mountain?
A. 132.12 meters
B. 280.2 meters
C. 367 meters
D. 13,200 meters
Answer:
367 meters
Step-by-step explanation:
(220.2÷60)x100
The graph of g is a vertical shrink by a factor of 1/3 and a reflection in the y-axis, followed by a translation 3 units right of the graph of f(x)=x2. Write a rule for g.
Answer: g(x) = (1/3)*(-x)^2 + 3.
Step-by-step explanation:
Let's define all the transformations in a general way,
A vertical contraction/dilation of a scale factor a is written as:
g(x) = a*f(x)
where if a > 1, it is a dilation.
if 0 < a < 1, it is a contraction.
A reflection in the y-axis changes the value of the x-component and leaves the y-component invariable, then this transformation is written as:
g(x) = f(-x).
A translation of A units up (A positive) is written as:
g(x) = f(x) + A.
Then for this case we have:
A dilation with scale factor 1/3.
g(x) = (1/3)*f(x)
A reflection over the y-axis.
g(x) = (1/3)*f(-x)
A translation of 3 units up.
g(x) = (1/3)*f(-x) + 3
(in that order, remember that the order in which you applly the transformations matters)
Then g(x) = (1/3)*f(-x) + 3
and f(x) = x^2, so we can replace that in the equation for g(x)
g(x) = (1/3)*(-x)^2 + 3.
Transformation involves changing the position of a function.
The rule for g is: [tex]\mathbf{g(x) = \frac 13(x - 3)^2}[/tex]
The parent function is given as:
[tex]\mathbf{f(x) = x^2}[/tex]
The rule of vertical shrink by a factor of 1/3 is:
[tex]\mathbf{(x,y) \to (x,\frac 13y)}[/tex]
So, we have:
[tex]\mathbf{f'(x) = \frac 13x^2}[/tex]
The rule of reflection across the y-axis is:
[tex]\mathbf{(x,y) \to (-x,y)}[/tex]
So, we have:
[tex]\mathbf{f''(x) = \frac 13(-x)^2}[/tex]
[tex]\mathbf{f''(x) = \frac 13x^2}[/tex]
The rule of translation 3 units right is:
[tex]\mathbf{(x,y) \to (x - 3,y)}[/tex]
So, we have:
[tex]\mathbf{g(x) = \frac 13(x - 3)^2}[/tex]
Hence, the rule for g is: [tex]\mathbf{g(x) = \frac 13(x - 3)^2}[/tex]
Read more about transformations at:
https://brainly.com/question/11709244
Plzzzzzzzz help me plzzzzzzzzzzzz
Answer:
$1.50 and 4.5 miles
Step-by-step explanation:
The constant of proportionality is basically just the slope of a line on a graph
Slope can be found by:
[tex]\frac {y_{2} - y_{1}} {x_{2} - x_{1}}[/tex]
10.50 - 7.50 = 3
7 - 5 = 2
3/2 = 1.50 = $1.50
_________________
135 miles / 30 days = 4.5 miles per day
Use the interactive to adjust the values, r and 0, and
choose the correct statements based on your
observations.
The point revolves around the pole when ris
changed.
The point revolves around the pole
counterclockwise when 0 is negative.
The point revolves around the pole
counterclockwise when 0 is positive.
The point gets closer to or farther from the pole
when r is changed.
The point gets closer to or farther from the pole
when is changed.
Answer:
Numbers 3 and 4
Step-by-step explanation:
- The point revolves around the pole counterclockwise when θ is positive.
-The point gets closer to or farther from the pole when r is changed
What is the value of x in the equation −6 + x = −3?
Answer:
x = 3
Step-by-step explanation:
Simply solve for x.
In this equation all we have to do is add 6 to both sides of the equation to solve for x.
x = 3
The answer is 3.
#teamtrees #WAP (Water And Plant)
Answer:
3
Step-by-step explanation:
what positive whole number can you multiply by 3 and add1,or multiply by 2 and add 8?
Answer:
7 is the positive whole number which we can multiply by 3 and add 1, or multiply by 2 and add 8; and it will give the same answer.
Step-by-step explanation:
Multiplying the positive whole number 7 by 3 and adding 1 will get:
(7 × 3) + 1 = 21 + 1 = 22
Multiplying the positive whole number 7 by 2 and adding 8 will get:
(7 × 2) + 8 = 14 + 8 = 22
Therefore, 7 is the positive whole number which we can multiply by 3 and add 1, or multiply by 2 and add 8; and it will give the same answer.
Consider continuous functions f,g,h and I. Then complete the statements. Select the correct answer from each drop down menu. The function that has the least minimum value is function . The function that has the greatest minimum value is function .
Answer:
The least minimum value is continuous function
The greatest minimum value is quadratic function.
Step-by-step explanation:
The minimum and maximum value of function is different for the different equations. The minimum value is the point below the vertex. The maximum value of the quadratic function is the positive value and it has minimum value as negative.
Answer:
Least
Most
Step-by-step explanation:
Kendra was asked to find the number of students who planned to attend the evening symphony performance. She
was told that 40 percent of the 50 students planned to attend. Kendra's work is shown below.
part 40x2 80
whole 100x2 – 200
What mistake did Kendra make?
ОООО
Kendra should have multiplied by 4 instead of multiplying by 2.
O Kendra should have divided by 2 instead of multiplying by 2.
Kendra should have added 40 and 50.
Kendra should have subtracted 40 from 50.
Answer:
I actually think it’s c I’m sorry if I’m wrong
Step-by-step explanation:
Answer:its B guys not c because kendra should of divde both by 2 and not multiplie it by 2 trust me
Step-by-step explanation:
It is B not A,C,D!
What does 6 1/2 mean in the situation
Answer:
2 ÷ 61
Step-by-step explanation:
The / means division so it's practically means you must divid
Simplify 32 divided by 7 eigths
Answer:
256/7 = 36 4/7 =36.571
Step-by-step explanation:
Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore
the town. The movie will cost the family $36, and parking costs $4 per hour,
How long will the family be able to spend in Millersville if they want to spend less than $60 and
they don't have any other expenses?
Follow the steps to answer this question
I
1. Write an inequality that shows that Tyra's family spends less than their limit.
2. Solve your inequality Show your work
Answer:
They have to spend less that 6 hours in the town.
(60-36) = m
m divided by 4= 6
Step-by-step explanation:
Answer:
They have to spend less that 6 hours in the town.
(60-36) = m
m divided by 4= 6
Step-by-step explanation:
HOPE IT HELPSSS! :D
ill cashapp you rn If you get this Impossible question right
What is the perimeter of the figure?
Answer:
21.2 yd
Step-by-step explanation:
8 + 6 + 7.2 = 14 + 7.2 = 21.2
21.2 yd
To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.
Help I don't understand my kids work, we have been doing this for 30 mins now
Answer:
Step-by-step explanation:ygvt fvbygtfr5nBHY$nujmk,mjnhbygtf
Answer: divide thats all i know what to do bye
Step-by-step explanation:
divide
what is the perimeter of an angle with a sides of 10cm, 15cm, 40cm and 5cm
Answer:
10 + 15 + 40 + 5 = 70cm
Step-by-step explanation:
A population of geese doubles every 18 months. If there are 5 geese initially, how many years will it take for there to be 111 geese?
Answer: 7 years
Step-by-step explanation:
Let t be the number of periods in which geese doubles .
The exponential growth function:[tex]y=Ab^t[/tex] , where A = initial value , b= growth factor.
As per given , A = 5 , b=2
i.e. Number of geese after t periods = [tex]y=5(2)^t[/tex]
Put y=111, we get
[tex]111=5(2)^t\\\\\Rightarrow\ \dfrac{111}{5}=2^t\\\\\Rightarrow\ 22.2=2^t[/tex]
Taking log on both sides , we get
[tex]\log 22.2 = t\log 2\\\\\Rightarrow\ 1.346353=t(0.30103)\\\\\Rightarrow\ t=\dfrac{1.346353}{0.30102}\\\\\Rightarrow\ t=4.47263636\approx4.47[/tex]
Now , total months = 4.47 x 18 =80.46≈ 80 months
since 1 year =12 months
Number of years it will take [tex]=\dfrac{80}{12}=\dfrac{20}{3}=6.66666666667\approx7[/tex]
Hence, it will take 7 years (approx.)
Kimberly's family has a dinner bill of $26 and wants to leave a 15% tip for their server. How much tip are they leaving?
A.3.90
B.$4
C.$29.90
D.$39
Answer:
uuummm i need this answer too actually
Step-by-step explanation:
Answer:
A.$3.90
Step-by-step explanation:
So we have $26 and the tip is 15%, so we just find 15% of $26A percentage is a number divided by 100, so 15% is the fraction [tex]\frac{15}{100}[/tex] Now what fraction of 26 is [tex]\frac{15}{100}[/tex] ? We multiply and seeSo [tex]\frac{15}{100}*26=\frac{15*26}{100}=\frac{390}{100}=3.90[/tex] so $3.90 is 15% 0f $26 Then $3.90 is the amount of the tipHelp plz due tomorrow
Answer:
D, (6,3)
Step-by-step explanation:
When you are reflecting something, you are reflecting the exact point, except any negative sign on the x-val, turns positive, so first, you end up with (4,3), shifting two units to the right, would cause it to go to (6,3).
can you please help me with this question .
Answer:
The answer is 4
Explanation:
5 divided by 20 is 4 right?
Evaluate 4 + (m - n) ^4when m
7 and n = 5.
) The value of the expression is
Answer:
20
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of the expression 4 + [tex](m - n)^4[/tex] at m = 7 and n = 5 is 20.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3 + 4x = 5 is an expression.
We have,
An expression:
4 + [tex](m - n)^4[/tex]
We will solve the expression when m = 7 and n = 5.
Now,
4 + [tex](m - n)^4[/tex]
= 4 + [tex](7 - 5)^4[/tex]
= 4 + [tex]2^{4}[/tex]
[tex]2^{4}[/tex] = 2 x 2 x 2 x 2 = 16
= 4 + 16
= 20
Thus,
The value of the expression 4 + [tex](m - n)^4[/tex] at m = 7 and n = 5 is 20.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Roberto must make his costume for the school play. He needs a piece of fabric that is 2 and 2/3 yards long and 1 and 1/2 yards wide. What is the area of the piece of fabric Roberto needs?
Answer:
4 yd².
Step-by-step explanation:
From the question given above, the following data were obtained:
Length (L) = 2⅔ yards
Width (W) = 1½ yards
Area (A) =.?
The area of the piece of fabric that Roberto needs can be obtained by using the formula for calculating the area of a rectangle. This is illustrated below:
Area (A) = Length (L) × Width (W)
A = 2⅔ × 1½
A = 8/3 × 3/2
A = 8 × ½
A = 4 yd²
Thus, the area of the piece of fabric that Roberto needs is 4 yd²
How long is 50% of a 24-hour day?
Answer: Its 12 hours
Step-by-step explanation:
50% is equal to 1/2 so half of a day is 12 hours :)
pls give me the answer....
7½ – 4/7 ×7/8
= 15/2 – 1/2
= 7
Answer:
its 7
Step-by-step explanation:
what is the height of the cone if a metal sphere of radius 4m is melted to form a cone of base 5m?
9514 1404 393
Answer:
10.24 m
Step-by-step explanation:
The volume formulas for the figures are ...
V = 4/3πr³ . . . sphereV = 1/3πr²h . . . coneYou can fill in the given radii and set the volumes equal:
4/3π(4 m)³ = 1/3π(5 m)²h
h = (4^4)/(5^2) m . . . . . divide by the coefficient of h
h = 10.24 m
The height of the cone is 10.24 meters.
help please!!!!!!!!!
A. (1, -2)
B. (1, 2)
C. (2, -1)
D. Infinite number of solutions
Answer:
(1, -2) Option A in your list of possible answers
See attached image.
Step-by-step explanation:
We need to graph the lines by using a couple of points on the plane for each equation.
For example:
the points (0, -3) and (3, 0) for the line y = x - 3
and the points (0, 1) and (-1, 4) for the line y = - 3 x + 1
Please see the lines in the attached image, and notice that they intersect at the point (1, -2), which gives you the solution for the system.
Jalen measured a bookcase to be 8.4 feet. The actual measurement is 5.6 feet. What is Jalen's percent error?
Answer:
hey man thats my name im about to answer my own question. i used my caculator and i got 150.0 if its not right sorry
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
please help asap question ten
Answer:
D. 2, 4
Step-by-step explanation:
6x+8y=44
5y = 20
y = 4
6x = 12
x = 2