Follow the guided instructions below to create the line of reflection that would map the pink figure onto the blue figure. Now write the slope of the line of reflection and any dotted line. 10 -9 -8 7 -6 5 4 3 2 y 10 2 8 2 73 6 -8 10 Slope of one of the dotted lines: Slope of the line of reflection:
Answers
Slope of one of the dotted lines: -1/3
Slope of the line of reflection: 3
From given figure, we can observe that the line of reflection passes through points (2, 8) and (0, 2)
We need to find the slope of the line of reflection and any dotted line.
Using the formula of slope, the slope of the line of reflection would be,
m1 = (y2 - y1)/(x2 - x1)
m1 = (2 - 8)/(0 - 2)
m1 = -6 / (-2)
m1 = 3
The dotted lines are perpendicular to the line of reflection.
Let m2 be the slope of any dotted line.
We know that the product of slopes of any perpendicular lines is -1.
so, m1 * m2 = -1
3 * m2 = -1
m2 = -1/3
So, the slope of dotted any line = - 1/3
Therefore, Slope of one of the dotted lines: -1/3
Slope of the line of reflection: 3
Learn more about the slope of the line here:
https://brainly.com/question/13204313
#SPJ1
Related Questions
Teresa surveyed 100 students about whether they like pop music or country music. Out of the 100 students surveyed, 41 like only pop, 35 only like country, 11 like both pop and country, and 13 do not likeeither pop or country. Complete the two-way frequency table.
Answers
we have
see the attached figure to better understand the problem
please wait a moment (to fill the table)
x+3/5 + x-2/5
as a single fraction
Answers
Answer:
x+3/5 + x-2/5
simply add variable
x+x +3/5-2/5
2x+3/5-2/5
taking L.C.M
5*2x+3-2/5
10x+1/5
Zachary purchased a computer for
$1800 on a payment plan. He plans to
pay $150 per month on his payment
plan. What is an equation that models
the balance y after x months?
Answers
Answer:
y= 1 800- 150x
Step-by-step explanation:
y= 1 800- 150x
A rectangular prism is 9 inches long, 3 inches wide, and _____ inches high.
The volume of the box is 324 in.
What is the height of the box?
Answers
Answer:
height = 12
Step-by-step explanation:
try and use the formula to plug it in and solve for x.
Determine if the equation is linear,quadratic,exponential, or absolute value Y=x² -5x+6
Answers
Explanations:
Note that any expression of the form:
[tex]ax^2\text{ + bx + c}[/tex]is a quadratic polynomial.
The given equation in the question is:
[tex]Y=x^2\text{ - 5x + 6}[/tex]Comparing the given equation with the general expression I wrote above:
a = 1, b = -5 and c = 6.
Since the given equation takes the form of the general expression, it is therefore quadratic.
Question 1
Write the equation of the line that is parallel to the x-axis and contains point (2, 7).
Answers
PARALLEL LINES HAVE EQUAL GRADIENTS
THE GRADIENT IN THE X-AXIS IS EQUAL TO 0 SINCE THE THE Y VALUE FOR ANY X VALUES IS 0
[tex]m = \frac{0 - 0}{x2 - x1} \\ m = 0[/tex]
This just means that the gradient for the line parallel to the given line is 0
I will use the technique of the General equation of a straight line. y=mx+c
[tex]7 = (0)(2) + c \\ c = 7[/tex]
THE EQUATION IS
[tex]y = 7[/tex]
ATTACHED IS THE SOLUTION.
Use the diagram and the given angle measure to find the other three measures
Answers
If angle ∠4 = 29 degrees, then
m∠1 = 151 degreesm∠2 = 29 degreesm∠3 = 151 degreesThe m∠4 = 29 degrees
Part 1
The angles on a straight line add up to 180 degrees.
∠4 + ∠1 = 180
29 + ∠1 = 1180
∠1 = 180-29
= 151 degrees
Part 2
The angles on a straight line add up to 180 degrees.
∠1 + ∠2 = 180
151 + ∠2 = 180
∠2 = 180-151
= 29 degrees
Part 3
The angles on a straight line add up to 180 degrees.
∠2 + ∠3 = 180
29 + ∠3 = 180
∠3 = 180-29
= 151 degrees
Hence, If angle ∠4 = 29 degrees, then
m∠1 = 151 degreesm∠2 = 29 degreesm∠3 = 151 degreesLearn more about angle here
brainly.com/question/28451077
#SPJ1
5x+2y=12. Convert from standard form to slope-intercept form
Answers
Answer:
y = [tex]\frac{-5}{2}[/tex] x + 6
Step-by-step explanation:
We want the form
y = mx + b
5x + 2y =12 Subtract 5x from both side of the equation
2y = -5x + 12 Divide all the way by 2
y = [tex]\frac{-5}{2}[/tex] x + 6
5x+3=53
I don’t know pls help
Answers
5x/5 = 50/5
X=10
Answer:
x10
Step-by-step explanation:
How to solve your problem
5x+3=53
Subtract 3 from both sides
5x+3=53
5x+3-3=53-3
Simplify
Subtract the numbers
5x+3-3=53-3
5x=53-3
Subtract the numbers again
5x=53-3
5x50
Divide both sides by the same factor
5x=50
5x=50\
[tex]\frac{50x}{5}[/tex][tex]\frac{50}{5}[/tex]
Simplify
Cancel terms that are in both the numerator and denominator
[tex]\frac{5x}{5}[/tex]=[tex]\frac{50}{5}[/tex]
x=[tex]\frac{50}{5}[/tex]
Divide the numbers
x=[tex]\frac{50}{5}[/tex]
x=10
answer is 10
Use the diagram and the given angle measure to find the other three measures
Answers
The measures of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.So, ∠2 = 34°:
Now calculate other angles as follows:
(1) ∠1:
We can easily tell that ∠1 and ∠2 together make a straight angle which makes 180°. Then,
∠1 + ∠2 = 180∠1 + 34 = 180∠1 = 180 - 34∠1 = 146°(2) ∠3:
∠1 and ∠3 are a pair of vertically opposite angles and thus are equal.
∠1 = ∠3 = 146°∠3 = 146°(3) ∠4:
∠2 and ∠4 are a pair of vertically opposite angles and thus are equal.
∠2 = ∠4 = 34°∠4 = 34°Therefore, the measure of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.
Know more about angles here:
https://brainly.com/question/25716982
#SPJ13
How is a number squared?Select one:a. Multiplying a number by 4. b. Multiplying a number by itself. c. Dividing a number by 4. d. Dividing a number by itself.
Answers
A number is squared when it is multiplied by itself.
Hence, the correct option is Option B
Which one of these expressions doesn’t have a value less than 1 please help thank you if u do
Answers
The fourth option [tex](3^{5)^{2} }[/tex]/[tex](3)^{4}[/tex] does not have value less than 1.
What is Power or Exponent?Power of a number is defined as how many times to use the number in a multiplication. We also call Powers as Exponents or Indices. For example, [tex]8^{2}[/tex] could be called “8 to the power 2” or “8 to the second power”, or simply “8 squared”.
Step-by-step explanation:
In first option, [tex]4^{11}[/tex]/[tex]4^{14[/tex], if we solve this, the answer comes out to be 1/[tex]4^{3}[/tex] which will be 1/64 which is 0.015 that is lesser than 1.
In second option, [tex](5^{4)^{2} }[/tex]×[tex]5^{-11}[/tex],if we solve this, the answer comes out to be 1/[tex]5^{3}[/tex] which will be 1/125 which is 0.008 that is lesser than 1
In third option,[tex](2^{3)^{-2} }[/tex],if we solve this, the answer comes out to be 1/[tex]2^{6}[/tex] which will be 1/64 which is 0.015 that is lesser than 1
in Fourth option ,[tex](3^{5)^{2} }[/tex]/[tex]3^{4}[/tex] , if solve this, the answer comes out to be [tex]3^{6}[/tex] which will be 729 that is larger than 1
∴fourth option will be the answer.
To know more about Exponent, Visit:
https://brainly.com/question/219134
#SPJ13
What is 102 divided by 105?
Answers
Answer:
102 / 105 = 0.971428571
Step-by-step explanation:
i used a calculator c:
HURRY WILL MARK BRIANLIEST Evaluate.
0.33÷0.9⋅20+6.4÷0.2
Enter your answer as a decimal in the box.
Answers
Answer:
39.3
but the 3 in the the tenths place is repeating
Step-by-step explanation:
Answer:
39.33...
Step-by-step explanation:
Using PEMDAS,
First, 0.33 / 0.9 = 0.366...
Second, 0.366... * 20 = 7.33...
Then, 6.4 / 0.2 = 32
Lastly, 7.33... + 32 = 39.33...
PLS HELP!!!
Building an A-frame dog house. Your club has decided to build and sell dog houses for a fundraising project. You found this dog house and set of plans by searching the net.
A customer has offered to pay extra if you will make one half the size called for in the plans. Take each of the 5 measurements shown in the drawing and find half of the measurement. Show your work to get full credit!
Answers
The one half of the dimensions of the frame dog house is obtained.
What is termed as the mixed fractions?A mixed fraction is a form of fraction that has both a whole number as well as a fractional part. An improper fraction could also be formed from a mixed fraction. To do so, follow the steps outlined below. Step 1: Multiply the mixed fraction's denominator by the whole number part.Step 2: Subtract the numerator from the product obtained in step 1.Step 3: In numerator/denominator form, compose the improper fraction only with sum obtained in step 2.For the given question, the dimensions of the frame dog house are given as;
Gusset plate:Height = 5 ³/₂ inchesBase = 3 ¹/₂ inchesFloor plate = 47 ¹/₄ inches Thickness = 2 inchesSlope = 45 ¹/₄ inchesConvert the following fraction in improper by the above method;
Gusset plate:Height = 13/2 inchesBase = 7/2 inchesFloor plate = 189/4 inches Thickness = 2 inchesSlope = 181/4 inchesNow, customer has offered to pay extra if you will make one half the size called for in the plans.
Multiply each dimension with 1/2.
Gusset plate:Height = 13/2 × 1/2 = 13/4 inchesBase = 7/2 × 1/2 = 7/4 inchesFloor plate = 189/4 × 1/2 = 189/4 inches Thickness = 2× 1/2 = 1 inchSlope = 181/4 × 1/2 = 181/8 inchesThus, the one half of the dimensions of the frame dog house is obtained.
To know more about the mixed fractions, here
https://brainly.com/question/353115
#SPJ13
find h from this help please
Answers
The variable h, as the subject of the given formula is h = 3 / (G.V + 1)
Making a variable the subject of the formulaFrom the question, we are to make h the subject in the given formula
The given equation is
(3 - h) / V = G . h
Multiply both sides of the equation by V
V × (3 - h) / V = G . h × V
3 - h = G . h . V
Add h to both sides
3 - h + h = GhV + h
3 = GhV + h
Factorize h
3 = h(G.V + 1)
Now,
Divide both sides of the equation by (G.V + 1)
That is,
3 / (G.V + 1) = h
∴ h = 3 / (G.V + 1)
Hence, the value of h is 3 / (G.V + 1)
Learn more on Making a variable the subject of the formula here: https://brainly.com/question/20432560
#SPJ1
Write an exponential expression equivalent to 8^3 that has a base of 2.
Answers
The exponential expression equivalent to 8^3 that has a base of 2 is 2^9.
What is exponential expression?
Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied.
Applying the laws of indices,
The expression 8^3 can be written as,
8 x 8 x 8 = (2^3) x (2^3) x (2^3)
= 2^(3+3+3) ...{If a^m x a^n then a^(m+n) }
8 x 8 x 8 = 2^9
Therefore, the exponential expression equivalent to 8^3 that has a base of 2 is 2^9.
To know more about the exponential expressions, click on the link
https://brainly.com/question/28200743
#SPJ13
A 16 oz pack of green salad costs $2. Find the price of salad per ounce. Also, find the cost of 8 oz, 12 oz, 18oz, and 28 oz packs of salad.
Answers
step 1
Find out the unit price
Divide the total cost by the total ounces
so
2/16=$0.125 per ounce
step 2
Find the cost of 8 oz
Multiply the number of ounces by the unit price
so
0.125*8=$1
Find the cost of 12 oz
0.125*12=$1.5
Find the cost of 18 oz
0.125*18=$2.25
Find the cost of 28 oz
0.125*28=$3.5
Which points are solutions to the system of inequalities shown below?
Check all that apply.
y2 x + 3
y< 2x
X>6
A. (8, 12)
B. (6, 11)
C. (7,10)
D. (5, 10)
E. (8, 10)
F. (9,12)
Answers
Solution for the given Inequality
x > 6 : (6 , 11), (5 , 10)
y < 2x: (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)
What is Inequality?
Inequality of wealth in major cities Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income.
Let us study each inequality and find the right solutions
∵ x > 6
∴ The x-coordinates of the points are 7,8,9
- That means answer A and D is out because its x-coordinate not greater
than 6 ⇒ (6 , 11), (5 , 10),
∵ y < 2x
∴ The y-coordinates of the points are 10,11,12
- That means all are answers because y-coordinates is
not greater than 2x ⇒ (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)
To learn more about Inequality click on the link
https://brainly.com/question/24372553
#SPJ9
Which transformations do not result in mapping (-k, k) to
(k, - k) ?
A) Reflection in the line y = x
B) Reflection in the line y = -x
C) Reflection in the y -axis, followed by a reflection in the x-axis
D)Translation k units right, followed by a reflection in the y-axis
Answers
The function translation / transformation rules:
f (x − b) moves the function b units to the right.−f (x) reflects the function in the x-axis (that exists, upside-down).What are the types of transformations on a graph?Function transformations specify how a function is moved on a graph and how its shape is altered. Translation, dilatation, and reflection are the three main categories of function transformations.
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations is a typical kind of algebraic problem.
The function translation / transformation rules:
f (x) + b moves the function b units upward.f (x) − b moves the function b units downward.f (x + b) moves the function b units to the left.f (x − b) moves the function b units to the right.−f (x) reflects the function in the x-axis (that exists, upside-down).To learn more about transformations refer to:
https://brainly.com/question/28827536
#SPJ13
Please help! I have no idea what I’m doing and I’m super behind, I absolutely suck at math!
The function f(x) is graphed below.
(Picture below)
A) what is f(0)
B)what is f(3)
C) what is f(2)
Answers
Answer: 0, 3, 0
Step-by-step explanation:
f(a) represents the value of f(x) at x=a.
what do the factoring of special products have in common?
Answers
We know that specific products multiply specific kinds of binomials, so these binomials will be the product's factors.
Example:
2 × 3 = 6Factors of 6: 2 × 3What are special products?Simply put, special products are just special cases of multiplying together specific types of binomials. We offer three unique products: (a + b)(a + b) (a - b)(a - b)So, we know that special products are multiplying special types of binomials which means that these binomials will be the factors of the product.
For example:
2 × 3 = 6Factors of 6: 2 × 3Therefore, we know that specific products multiply specific kinds of binomials, so these binomials will be the product's factors.
Example:
2 × 3 = 6Factors of 6: 2 × 3Know more about special products here:
https://brainly.com/question/23846134
#SPJ13
A data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74.
Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form.
Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer.
Answers
18/5 = 3.6 (just divide 18 by 5)
2 4/5 = 2.8 (4/5 = 0.8, so 2 4/5 = 2.8)
97% = 0.97
1.74 is already in decimal form.
Part A:
97%, 1.74, 2 4/5, 18/5
(based on the calculations above)
Part B:
I rewrote the numbers in equivalent forms, in this case the equivalent form being decimal form, to be able to determine which number was bigger or smaller than the other.
Use substitution to find the solution to the linear/quadratic system. y - 2x^2 = 4x + 1 y = 14x - 7 Blank 1: (___7) Blank 2: (___49) Blank # 1:Blank # 2:
Answers
The given system is
[tex]\mleft\{\begin{aligned}y-2x^2=4x+1 \\ y=14x-7\end{aligned}\mright.[/tex]Let's replace the second equation with the first one.
[tex]14x-7-2x^2=4x+1[/tex]Now, we solve the quadratic equation.
[tex]\begin{gathered} 14x-7-2x^2-4x-1=0 \\ -2x^2+10x-8=0 \\ -2(x^2-5x+4)=0 \\ x^2-5x+4=0 \end{gathered}[/tex]Then, we have to find two numbers whose product is 4 and whose sum is 5. Those numbers are 4 and 1.
[tex]\begin{gathered} (x-4)(x-1)=0 \\ x_1=4 \\ x_2=1 \end{gathered}[/tex]We use these values to find y.
[tex]\begin{gathered} y_1=14\cdot4-7=49 \\ y_2=14\cdot1-7=7 \end{gathered}[/tex]Hence, the solutions to the given system are (4,49) and (1,7).is 1.030030003 a whole number a natural number an integer a real number a rational number or irrational number
Answers
Real numbers are numbers that are continous on the number line. They include positive and negative numbers. They can be integers, natural numbers, rational or irrational numbers.
In this exercise the number 1.030030003 is a real number because it can be found on the real number line
It is also a rational number because it is a repeating decimal
2000x2400 need the answer
Answers
Answer: 4,800,000
Step-by-step explanation: 2 times 24 is 48 then there is 3 zeros in 2000 and 2 zeros in 2400 so just add those on to the end of 48 and then you get your final answer of 4,800,000.
X - 2 = 3.5 A: 1.5 B: 5.5 C: 5 1/2 D: 5 3/6
Answers
To solve this expression we have to add 2 to both sides of the equation:
[tex]x-2+2=3.5+2[/tex][tex]x=5.5[/tex]So, the correct option is: B: 5.5
What’s the area ? 50 points
Answers
Answer:
The area of the figure is 325.17 ft²===============================
The area of the given shape can be found as a sum of three simpler shapes:
Triangle, rectangle and semi-circle.The semi-circle has the radius of 9 ft, its area is:
A = πr²/2 = 3.14*9²/2 = 127.17 ft²The rectangle has dimensions of 9 ft and 26 - 9 = 17 ft, its area:
A = lw = 9*17 = 153 ft²The triangle has bas of 9 ft and height 26 - 9 - 7 = 10 ft, its area is:
A = bh/2 = 9*10/2 = 45 ft²Area of the shape is:
A = 127.17 + 153 + 45 = 325.17 ft²Tell whether x and y show direct variation. Explain your reasoning.
y - x = 0. Find the value of k
Answers
In the given equation x and y show a direct variation of the form:
y = x
Where the value of k is 1.
Is there a direct variation?
A direct variation between two variables x and y is written as:
y = k*x
Where k is called the constant of proportionality.
Here we have the equation:
y - x = 0
moving x to the right side we get:
y = x
This is a direct variation with k = 1.
y = 1*x
Learn more about direct variation.
https://brainly.com/question/6499629
#SPJ1
Jessica is trying to save money to set aside for emergencies. she already has $75 and she earns $9 per hour at her family job. how many hours will she need to work to earn at least $500?
Answers
Answer:
Either 55.56 or 47.222 hours, depending on how the qyuestion is interpreted. The first answer assumes that Jessica's existing savgings of $75 is not available for emergencies.
Step-by-step explanation:
The question is difficult to answer. It doesn't specify that the $75 counts agains the $500. It simply asks how many hours of work does she need to earn $500.
Jessica is paid $9/hr, so her earnings (y, in $) are described by the formula: x hours at :
y = ($9/hr)*x
If we set y = $500:
$500 = ($9/hr)*x
x = $500/($9/hr)
x = 55.56 hours.
However, if we set y = $500 - $75, the Jessica only needs to work:
$425 = ($9/hr)*x
x = $425/($9/hr)
x = 47.222 hours