Given:
Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩.
The point is (-3,-2).
To find:
The image of given point after the transformation.
Solution:
Consider the given point be P(-3,-2).
Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩. If means first we have apply translation T⟨–5, 3⟩ after that we have to apply reflection R x-axis.
If a figure translated by T⟨–5, 3⟩, then
[tex](x,y)\to (x-5,y+3)[/tex]
[tex]P(-3,-2)\to P'(-3-5,-2+3)[/tex]
[tex]P(-3,-2)\to P'(-8,1)[/tex]
If a figure reflected by R x-axis, then
[tex](x,y)\to (x,-y)[/tex]
[tex]P'(-8,1)\to P''(-8,-1)[/tex]
Therefore, the image of given point after transformation is (-8,-1).
If g(x) = 3x² – 2x–5, what is the
value of g(-1) ?
Answer:
0
Step-by-step explanation:
g(-1)=3×(-1)²-2×(-1)-5 g(-1)=3×1+2-5 g(-1)=3+2-5 g(-1)=5-5 g(-1)=0 ......
The value of g(x) = 3x² - 2x - 5, at x = -1 is g(-1) and it is equal to zero.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function g(x) = 3x² - 2x - 5.
Now, The value of g(-1) is the same as x = - 1 in g(x).
Therefore, g(-1) = 3(-1)² - 2(-1) - 5.
g(-1) = 3 + 2 - 5.
g(-1) = 0.
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Match the vocabulary word with the correct definition.
Answer:
1. right triangle - a triangle with one angle that measures 90 degrees
2.radius- a line segment from the center of a circle to any point on the circle
3. ray- a part of a line that has 1 endpoint that goes in one direction forever
4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same
5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure
6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure
Step-by-step explanation:
HELP ME PLEASE!
Complete the work to find the equation of a line that passes through point (–5, –3) and is parallel to line y – 3x = –7. Step 1: Write the equation of the given line in slope intercept form: y = 3x – 7. Step 2: Determine the slope of the parallel line: m = 3. Step 3: Substitute the slope and given point into y = mx + b to find the y-intercept of the new line. –3 = 3 (–5 ) + b 3 = –15 + b b = 12 Step 4: Write the equation of the line parallel to 3x – y = 7 that passes through point (–5, –3).
Answer:
Y=3x+12 (its the first option)
Step-by-step explanation:
I did the assignment.
The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.
Given :
The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):
Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
Step 2 - The one-point form is given below:
[tex](y-y_1) = m (x-x_1)[/tex]
Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.
Step 4 - Now, substitute the values of slope and the point in the above expression.
[tex](y+3) = 3 (x+5)[/tex]
y = 3x + 2
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Answer:
∠3, it is quite clear
Step-by-step explanation:
help 8th grade math multiple choice question
Answer:
P1 (-1,1)
P2 (-2,4)
FOURTH OPTION IS CORRECT.
Which ordered pairs are solutions to the inequality y−3x<−4? Select each correct answer.
Answer:
Okay so what you need to understand first is that this is a line right?
So, ask yourself if you know how to graph this line.
If you do graph it, and because this line has a < less than sign it means you shade down but it also means that any point directly on the line won't be a solution because the line is dashed!
There can be many solutions to this line, but only in the solution area/shaded region. This in on the lower right side of the diagonal line that is crossing from almost 2 x-axis to -4 y- axis on the line!
If you would've shown me the list of ordered pairs I would've been able to select the correct ones.
Answer:
(4,-2) and (5,1) I took the test
Step-by-step explanation:
Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?
A. (9, 6)
B. (–1, –5)
C. (1, –8)
D. (3, 2)
Answer:c
Step-by-step explanation:
Find three consecutive integers such that if the third is subtracted from six times the sum of the first and second, the result is 452 more than twice the second.
Answer:
The numbers are 50, 51, and 52.
Step-by-step explanation:
The consecutive integers are (x-1), x, and (x+1).
6*(x-1+x)-(x+1)=452+2x
6x-6+6x-x-1=452+2x
9x = 459
x=51
The numbers are 50, 51, and 52.
Using the divisibility rules, explain why 678 is divisible by 2, 3, and 6.
Answer:
678
678 is even, so it's divisible by 2
6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3
Since 678 is divisible by both 2 and 3, it has to be divisible by 6
Step-by-step explanation:
The punch layout for a piece of 12 gage sheet metal is as shown. What is the area of the cross hatched center "star" shape ? Show all calculations! circle radius 1 foot Not drawn to scale I
Answer:
.86 square feet.
Step-by-step explanation:
Directions
You have to do this by following directions.
1, Go one circle to your right. Make it the top circle.
2, Drop a perpendicular from the circle you've just been directed to.
3. Draw until you hit the center of the circle below the circle you started your line from. You should get a square.
Find the area of the square.
Each side of the square is 2 feet. You get that because the side of the square = 2 radii -- one radii from the two circles in the center.
Area Square = s^2
Area Square = 2 * 2
Area Square = 4
Find the are of the circles
The 4 central circles that are touching (2 to the left and 2 to the right) are each are 1/4 of a full circle. 4 * 1/4 circle Area = 1 full circle.
Area = pi * r^2 = 3.14 * 1^2 = 3.14
Find the area of the star
Area of the star = area of square - area of circle.
Area of the star = 4 - 3.14
Area of the star = .86 sqr feet
What is the percent of change from 4 to 1?
Answer:
1 is 25% of 4, so 75% decrease
Step-by-step explanation:
hduuw8sisihaisiswkjznaswiqqlnaa
Answer:
whats ur question?
Step-by-step explanation:
Answer:
I don't understand
Step-by-step explanation:
Sorry, I cannot help
true or false decimals
Answer:
The first and last one are true and the ones in the middle are false
Which of these statements about savings is incorrect? *
1 point
People often believe they are saving when they buy products at a listed
discount, even if they didn't need the product in the first place
It is extremely difficult to open a savings account, as you typically need at
least $10,000 for your initial deposit
Without a vehicle to save (like a savings account), it's much easier to spend
and harder to keep track of finances
Billions of dollars is spent on marketing to persuade consumers to spend
money instead of saving it
dinion in high school and Hust started his
1
Answer:
The answer is "Option b"
Step-by-step explanation:
The numbering of the choices was defined in the attached file please find it.
In the question except for option b, all choices were correct, that can be defined as follows:
Citizens also believe because they save by buying products at a price, even if the product wasn't required first. It's cheaper to take and tough to maintain track of funds without a way to invest (like a bank account). Billions of lives were expended on ads and convince consumers to invest money in the junior high rather than saving their union so Hust started his career.Please answer correctly !!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Help me plzzzzz
A cyclist rides her bike at a speed of 9 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 10 minutes? Do not round your answers.
Answer:
per minute: 0.15 km
in 10 minutes: 1.5
Step-by-step explanation:
there are 60 minutes in an hour. we need to find the constant rate of change (is that the name sorry). so 9/60 is 0.15. now we know she goes 0.15 km per minute. then do 10 times 0.15 since 10 minutes. you get 1.5. now we know.
Given ac is perpendicular to cb and cx is perpendicular to ab, prove angle 2 is congruent to angle 3.
Answer:
Step-by-step explanation:
Given in the question,
AC ⊥ BC and CX ⊥ AB
m∠ACB = 90°
m∠ACX = 90° - m∠3
Now by applying the property of interior angle of triangle,
m∠CAX + m∠CXA + m∠ACX = 180°
m∠2 + 90° + (90°- m∠3) = 180°
m∠2 + 180° - m∠3 = 180°
m∠2 - m∠3 = 0
m∠2 = m∠3
Therefore, m∠2 ≅ m∠3.
Can someone help PLEASEE???
Answer:
44%
Step-by-step explanation:
There are a total of 25 tiles. 11 of them are shaded. To solve this divide 11/25*100. This equals 44%.
Please help me with this one please, I've been having trouble figuring this one out.
Answer:
y = - 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (2, - 3)
m = [tex]\frac{-3-5}{2+2}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2
The line crosses the y- axis at (0, - 1) ⇒ c = - 1
y = - 2x - 1 ← equation of line
Pls help ASAP
only answer 4, 7, and 10 please
Answer:
q4: ΔGHJ≡ΔARE by ASA
q7: ΔABC≡ΔILH by SSS
q10: ΔABC≡ΔKPG by AAS
Step-by-step explanation:
q4: ΔGHJ≡ΔARE by ASA
q7: ΔABC≡ΔILH by SSS
q10: ΔABC≡ΔKPG by AAS
Graph each linear equation that passes through the given pair of points. Use graph paper.
1. (2,2) and (4,5)
2. (0,1/2) and (2,3/2)
3. (-1,2) and (5,0)
4(-5,-3) and (-3,5)
Answer:
The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.
But let's be more complete:
Let's find the equations for each line:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
1) Here the points are (2,2) and (4,5)
then the slope is:
a = (5 - 2)/(4 - 2) = 3/2
y = (3/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)
2 = (3/2)*2 + b
2 = 3 + b
2 - 3 = b
-1 = b
y = (3/2)*x - 1
2) Here the points are (0,1/2) and (2,3/2)
then the slope is:
a = (3/2 - 1/2)/(2 - 0) = 1/2
y = (1/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)
1/2 = (1/2)*0 + b
1/2 = b
y = (1/2)*x + 1/2
3) Here the points are (-1,2) and (5,0)
then the slope is:
a = (0 - 2)/(5 + 1) = -1/3
y = (-1/3)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)
2 = (-1/3)*-1 + b
2 = 1/3 + b
2 - 1/3 = b
5/3 = b
y = (-1/3)*x + 5/3
4) Here the points are (-5,-3) and (-3,5)
then the slope is:
a = (5 + 3)/(-3 + 5) = -4
y = -4*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)
5 = -4*-3 + b
5 = 12 + b
5 - 12 = b
-7 = b
y = -4*x - 7
Now that we have all the equations, we can find the graphs.
where the colors are:
(4) green
(3) orange
(2) Blue
(1) Gray.
Word problem: A High School had a musical in which students ($5 tickets) and adults ($7 tickets) attended. If a total of 47 tickets were sold and they made a total of $269. How many student tickets were sold and how many adult tickets were sold?
Answer:
30 of them were students
17 were adults
Step-by-step explanation:
bunny and rabbit problems
if they were all adults
7 x 47 = 329
329 - 269 = 60
60/ (7-5) = 30
30 of them were students
17 were adults
Find the slope of the line that passes through the points (1.2) and (2.6).
Answer:
4
Step-by-step explanation:
Use slope intercept form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{6-2}{2-1}[/tex] = [tex]\frac{4}{1}[/tex] = 4
8x + 8 = 180 help me please
Answer:
Step-by-step explanation:
8x=180-8
8x=172
8x/8=172/8
x=21.5
Answer:
43/2
Step-by-step explanation:
Move Constant to the left
8x+8=180
calculate
8x=180-8
divide bothsides
8x=172
Answer
z=43/2
Help me I want good grades i
-2/3d -1/4d= -22 for d
Please help I am dumb!!
Answer:
ok so the answer is d = 24
Step-by-step explanation:
happy to hellp!
Susan runs 22 km in 2 hours and 45 minutes. What is her average speed in km an hour? Explain your answer please!
Answer:
22km= 2 hours and 45 mins
To find speed: Distance/Time
22/2.75 = 8
Your answer 8km/h
Step-by-step explanation: When finding speed, the formula is always distance divided by time. 45 minutes of 60 minutes is 3/4 of an hour, and 3/4 is 0.75 is decimal. So you add the 2 + .75, and you'll get 2.75. After you convert the time, you begin dividing and you'll get your answer!
when have I ever done this leave me alone please
Answer:
zusvhzbzhz
Step-by-step explanation:
zuzuch bzhzhs bu sizhshsuhsnd uh s gsv sjizhs
Answer:
ok I will leave u alone
Step-by-step explanation:
(•ө•)♡
A company makes 130 bags.
49 of the bags have buttons but no zips.
32 of the bags have zips but no buttons.
39 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
130-49 = 81
Answer 81/130
The probability that the bag has buttons is 0.38.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.
Given that, a company makes 130 bags.
Here, the number of favorable outcomes = 49 and the total number of outcomes =130
Now, probability of an event = 49/130
= 0.38
Therefore, the probability that the bag has buttons is 0.38.
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Find the equation of the line . Write in slope intercept form and in standard form. (SHOW YOUR SOLUTION)
1. m = -5, b=1
2. ( 1, -2), (3, 3)
3. (-2, 0) and (0, 5)
4. a = 2, b = -7
5, m = 2, (3, -1)
Answer:
1) The slope-intercept and standard forms are [tex]y = -5\cdot x + 1[/tex] and [tex]5\cdot x +y = 1[/tex], respectively.
2) The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x -\frac{9}{2}[/tex]. The standard form of the line is [tex]-5\cdot x +2\cdot y = -9[/tex].
3) The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x + 5[/tex]. The standard form of the line is [tex]-5\cdot x +2\cdot y = 10[/tex].
4) The slope-intercept and standard forms of the family of lines are [tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex] and [tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex], respectively.
5) The slope-intercept form of the line is [tex]y = 2\cdot x-7[/tex]. The standard form of the line is [tex]-2\cdot x +y = -7[/tex].
Step-by-step explanation:
From Analytical Geometry we know that the slope-intercept form of the line is represented by:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
In addition, the standard form of the line is represented by the following model:
[tex]a\cdot x + b \cdot y = c[/tex] (2)
Where [tex]a[/tex], [tex]b[/tex] are constant coefficients, dimensionless.
Now we process to resolve each problem:
1) If we know that [tex]m = -5[/tex] and [tex]b = 1[/tex], then we know that the slope-intercept form of the line is:
[tex]y = -5\cdot x + 1[/tex] (3)
And the standard form is found after some algebraic handling:
[tex]5\cdot x +y = 1[/tex] (4)
The slope-intercept and standard forms are [tex]y = -5\cdot x + 1[/tex] and [tex]5\cdot x +y = 1[/tex], respectively.
2) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that [tex](x_{1},y_{1})=(1,-2)[/tex] and [tex](x_{2},y_{2}) = (3,3)[/tex], then we construct the following system of linear equations:
[tex]m+b= -2[/tex] (5)
[tex]3\cdot m +b = 3[/tex] (6)
The solution of the system is:
[tex]m = \frac{5}{2}[/tex], [tex]b = -\frac{9}{2}[/tex]
The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x -\frac{9}{2}[/tex].
And the standard form is found after some algebraic handling:
[tex]-\frac{5}{2}\cdot x +y = -\frac{9}{2}[/tex]
[tex]-5\cdot x +2\cdot y = -9[/tex] (7)
The standard form of the line is [tex]-5\cdot x +2\cdot y = -9[/tex].
3) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that [tex](x_{1},y_{1})=(-2,0)[/tex] and [tex](x_{2},y_{2}) = (0,5)[/tex], then we construct the following system of linear equations:
[tex]-2\cdot m +b = 0[/tex] (8)
[tex]b = 5[/tex] (9)
The solution of the system is:
[tex]m =\frac{5}{2}[/tex], [tex]b = 5[/tex]
The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x + 5[/tex].
And the standard form is found after some algebraic handling:
[tex]-\frac{5}{2}\cdot x+y =5[/tex]
[tex]-5\cdot x +2\cdot y = 10[/tex] (10)
The standard form of the line is [tex]-5\cdot x +2\cdot y = 10[/tex].
4) If we know that [tex]a = 2[/tex] and [tex]b = -7[/tex], then the standard form of the family of lines is:
[tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex]
And the standard form is found after some algebraic handling:
[tex]-7\cdot y = -2\cdot x +c[/tex]
[tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex], [tex]\forall \,c\in\mathbb{R}[/tex] (11)
The slope-intercept and standard forms of the family of lines are [tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex] and [tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex], respectively.
5) If we know that [tex](x,y) = (3,-1)[/tex] and [tex]m = 2[/tex], then the y-intercept of the line is:
[tex]3\cdot 2 + b = -1[/tex]
[tex]b = -7[/tex]
Then, the slope-intercept form of the line is [tex]y = 2\cdot x-7[/tex].
And the standard form is found after some algebraic handling:
[tex]-2\cdot x +y = -7[/tex] (12)
The standard form of the line is [tex]-2\cdot x +y = -7[/tex].