Answers
Using translation concepts, we have that:
The x-coordinates in the image are the opposite of the y-coordinates in the pre-image.The y-coordinates in the image are the same as the x-coordinates of the pre-image.Therefore, the triangle was rotated clockwise 270º about the origin.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the vertices of the pre-image are given as follows:
D(-5,2), E(1,5), F(0,-1).
The vertices of the transformed image are given by:
D'(-2, -5), E'(-5,1), F(1,0).
From this, we the rule is given by:
(x,y) -> (-y,x).
Which is equivalent to the rotation rule of a rotation of 270º clockwise.
Hence:
The x-coordinates in the image are the opposite of the y-coordinates in the pre-image.The y-coordinates in the image are the same as the x-coordinates of the pre-image.Therefore, the triangle was rotated clockwise 270º about the origin.More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
Related Questions
When converting measurements in the metric system, you can move the decimal point to the left or to the right why? Select all that apply.
A When converting from smaller to larger units zero dividing by the power of 10
B Moving a decimal point is The same thing as adding or subtracting
C The metric system is based on powers of 10
DWhen converting some larger to smaller unit, you are applying by the power of 10
Answers
Answer:
C The metric system is based on powers of 10
Step-by-step explanation:
If a₁ = 5 and a,, = 0,-1+5 then find the value of as.
Answers
Answer:
a1 = 6 and an = an-1 - 5
a2 = a2-1 - 5 = a1 - 5 = 1
a3 = a3-1 - 5 = a2 - 5 = -4, etc
Step-by-step explanation:
Simplify y to the negative seventh power over x to the negative third power.
Answers
The expression is simplified to y ^-7/x^-3
What are algebraic expressions?Algebraic expressions are expressions comprising of variables, terms, factors, coefficients, constants.
These expressions are also made up of arithmetic operations such as;
AdditionSubtractionMultiplicationDivisionBracketFrom the information given, we have;
y to the negative seventh power over x to the negative third power
This can be represented as;
Negative seventh power = ^-7
Negative third power = ^-3
Substitute into formula
y ^-7/x^-3
Thus, the expression is simplified to y ^-7/x^-3
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
What fraction of £1 is 17p?
Answers
Answer:
17 / 100 or 1 / 17
Step-by-step explanation:
Hope this helps :)
The required fraction of 17p in £1 is 17 / 100.
Given that,
To determine the fraction of £1 is 17p.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
£1 = 100p
p = 1 / 100
Multiply by 17 on both sides,
17p = 17 / 100
Thus, the required fraction of 17p in £1 is 17 / 100.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
(This is a Linear Programming Word problem) (Honors Algebra II)
You are screen printing t-shirts and sweatshirts to sell at the County Blues Festival and are working within the following constraints
- You have at most 1200 minutes to make shirts
- You want to spend no more than $600 on supplies
- You want to have at least 50 items to sell
- T-shirts take 10 minutes to make with a cost of $4 and a profit of $6
- Sweatshirts take 30 minutes to make with a cost of $20 and a profit of $20
How many T-shirts and how many sweatshirts should you make to maximize your profit?
How much is the maximum profit?
Answers
The maximum profit is 800, and the most T-shirts, sweatshirts, and hoodies you should produce is 10.
Linear programming: what is it?A mathematical model whose requirements are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming.
based on the available facts;
x= tshirt
y =sweatshirts
10x+20y≤1200
2x+20y≤600
x+y≥50
x≥0
y≥0
so p=6x+20y(objective function)
from above 10x+20y≤1200
20y/20=(-10x/20)+(1200/20)
y=-1/2+(60)
put y value in all formula
to know more about Linear programming visit;
https://brainly.com/question/17902544
#SPJ1
sketch the curve by using the parametric equations to plot points. indicate with an arrow the direction in which the curve is traced as t increases.
Answers
As t increases the curve is changing according to the plot points given by the parametric equations.
Define parametric equations?The coordinates of the points that make up a geometric object, such as a curve or surface, are frequently expressed using parametric equations; in this case, the equations are collectively referred to as a parametric representation or parameterization (alternatively spelled as parametrisation) of the object. It describes a collection of numbers that represent functions with one or more independent variables. The parameters used here are the independent variables. For the representation of the coordinates that make up geometric objects like curves and surfaces, parametric equations are used. Additionally, a curve that is not a function can be drawn using parametric equations.
The equations are
x=1-t²
y=2t-t²,-1≤t≤2
The sketch is in the diagram picture.
To know more about parametric equations, click here:
https://brainly.com/question/12718642
#SPJ4
A parabola opening up or down has vertex (0, 1) and passes through (12, -17). Write its
equation in vertex form.
Simplify any fractions.
Answers
The equation of the parabola is y = (-3/2)x + 1.
The general vertex form of the equation of a parabola is y = a(x - h)2 + k
where (h, k) are the coordinates of the vertex
Here, we are given that vertex = (0, 1)
Thus, the equation of the parabola is-
y = a(x - 0)2 + 1
y = 2ax + 1
Also, we are given that the parabola passes through (12, -17).
Thus, (12, -17) must satisfy the equation of the parabola
⇒ -17 = 2a(12) + 1
-17 = 24a + 1
24a = -17 -1
24a = -18
a = -18/24
a = -3/4
Thus, the equation of the parabola becomes-
y = 2(-3/4)x + 1
y = (-3/2)x + 1
Learn more about parabolas here-
https://brainly.com/question/17987697
#SPJ9
the hypotenuse of an isosceles right triangle is $4\sqrt{2}$ units. how many square units are in the area of the triangle?
Answers
If hypotenuse of an isosceles right triangle is [tex]4\sqrt{2}[/tex] units, then the area of the triangle is 8 square units
Given,
The hypotenuse of an isosceles triangle =[tex]4\sqrt{2}[/tex]
An isosceles triangle is a triangle that has at least two sides of equal length
Consider the two equal sides as x
According to Pythagoreans theorem
[tex]x^{2} +x^{2} =(4\sqrt{2})^{2} \\2x^{2} =32\\x^2=16[/tex]
x=4 units
We know,
Area of two isosceles right triangle equal to the area of the square with same length
Area of the square = [tex]x^{2} =4^{2}=16[/tex] square units
Then the area of the triangle =[tex]\frac{16}{2}=8[/tex] square units
Hence, if hypotenuse of an isosceles right triangle is [tex]4\sqrt{2}[/tex] units, then the area of the triangle is 8 square units
Learn more about isosceles triangle here
brainly.com/question/10147636
#SPJ4
Why do you think calculators change the way of scientists notation appears
Answers
Answer:
Yes because, Maybe because it's sometimes of technology occurs many things such as we no longer using old stuffs and living because. Even the calculator it's similar
1/5(10x−5)=5x−1 is the problem.
some one help please.
9th grade math
Answers
Solution of the equation [tex][\frac{1}{5(10x-5)} =(5x-1)][/tex] is [x = (-0.512788205961), (-0.187211794039)].
As per the question statement, our concerned equation is [tex][\frac{1}{5(10x-5)} =(5x-1)][/tex].
We are required to find the value of "x" that satisfied the equation. First, we will have to convert the given equation to the form of quadratic equation.
[tex][\frac{1}{5(10x-5)} =(5x-1)]\\or, 1=5(10x-5)*(5x-1)\\or, 1=5*5(2x-1)*(5x-1)\\or,1=25[(2x-1)(5x-1)]\\or,1=25(10x^{2} -2x-5x+1)\\or,1=25(10x^{2} -7x+1)\\or,1=250x^{2} -175x+25\\or,250x^{2} -175x+24=0\\[/tex]
Now, [(250x² - 175x + 24) = 0] is in the form of a quadratic equation.
Also, the formula to calculate the solutions of a standard quadratic equation [ax² + bx +c = 0] goes as [tex][x=(\frac{-b+\sqrt{(b^{2}-4ac) } }{2a}), (\frac{-b-\sqrt{(b^{2}-4ac) } }{2a}) ][/tex]
Comparing [ax² + bx +c = 0] with [(250x² - 175x + 24) = 0], we get
(a = 250), (b = 175) and (c = 24), and using these values in the above mentioned formula to calculate the solutions of quadratic equations, we get, [x = (-0.512788205961), (-0.187211794039)].
Quadratic Equations: In algebra, any polynomial equation whose highest degree is two and can be rearranged to the standard form of [ax² + bx + c = 0], where (a ≠ 0), is known as a quadratic equation.To learn about Quadratic Equations, click on the link below.brainly.com/question/1863222
#SPJ9
the distance from sacramento to fresno can be respresented as 2x+10 and the distance from fresno to san bernardino can be represented as 4c + 12. To Travel from sacramento to san bernardino is 340. How many miles is it to travel from Fresno to San Bernardino? Show your work below.
Answers
The distance travel from Fresno to San Bernardino is 224 miles.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
Distance from sacramento to fresno =2x+10
Distance from fresno to san bernardino= 4x + 12
Distance from sacramento to san bernardino = 340.
According to given question we have
Distance from sacramento to fresno+Distance from fresno to san bernardino=Distance from sacramento to san bernardino
2x+10 +4x + 12 =340.
Compare the like terms we get
6x+22=340
Subtract 22 from both sides we get
6x=318
x=53
So,
Distance from sacramento to fresno
=2x+10
=2*53+10
=106+10
=116
Distance from fresno to san bernardino
= 4x + 12
=4*53+12
=224
Therefore, the distance travel from Fresno to San Bernardino is 224 miles.
Learn more details about distance here:
https://brainly.com/question/15172156
#SPJ1
Solve for the value of v.
(9v-3) 84°
Answers
Answer:
v = 11
Step-by-step explanation:
(9v - 3) and 84 are a linear pair and sum to 180° , that is
9v - 3 + 84 = 180
9v + 81 = 180 ( subtract 81 from both sides )
9v = 99 ( divide both sides by 9 )
v = 11
A boys weighs 90 pounds on earth and 34.5 pounds on mars how much would a 600 pound man weigh on mars
Answers
Answer:
about 230lbs
Step-by-step explanation:
I think
Someone help with both pls
Answers
There is a daily fee for renting a movin truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to rent a truck. Write and solve an equation to find the daily fee
Answers
Answer:
Step-by-step explanation:
$0.50 x 48 + $64 = $88. Because of order of operations or PEMDAS, multiplication goes first, then comes addition. Hope you found this helpful!
There are 5 white balls,8 red balls ,7 yellow balls and 4 green balls in a container a ball is choosen at random.what is the probabilty of chooseing neither white or green? .
Answers
15/19 + 14/19 = 29/19
Step-by-step explanation:
Add the number of balls in the basket together.
Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball
solve these simultaneous equations
2x+3y=13
and 4x+6y=26
Answers
Answer:
2x + 3y = 13
4x - y = -2
In the second equation, subtract 4x from both sides.
-y = -2 - 4x
Divide both sides by -1.
y = 2 + 4x
Put this into the first equation in place of y.
2x + 3(2 + 4x) = 13
Multiply everything in the parenthesis by 3.
2x + 6 + 12x = 13
Combine like terms.
14x + 6 = 13
Subtract 6 from both sides.
14x = 7
Divide 14 on both sides.
x = 7 / 14
x = 0.5
Put this into the second equation in place of x.
4(0.5) - y = -2
2 - y = -2
Subtract 2 from both sides.
-y = -4
Divide both sides by -1.
y = 4
So x = 0.5 and y = 4.
Step-by-step explanation: I hope this helps.
Multiply.simplify your answer and write it as a mixed number 5•7/8
Answers
Answer:
it should be 4 3/8 but sorry if it's wrong <3
(-1)7 + (-1)8 + 1" + (-1)² + (-1)2n+1
Answers
Answer:
In the picrure
Step-by-step explanation:
a dose was increased from 250 to 500 milligrams. what is the percent increase??
I got 1, so can anyone confirm if it's right or not please
Answers
Step-by-step explanation:
initally dose was 250 mg and then increased to 500 mg.
so, percent increase would be :-
(500-250)/250 * 100
= 1 %
so I guess u are correct.
The percentage increase in the size of the dosa is 100%
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the size of the dosa is increased from 250 to 500.
The amount of increment is:
500 - 250
= 250
The percentage change is given by:
(250/250) × 100%
= 100%
Hence, the percentage increase in the size of the dosa is 100%
Learn more on percentages here:
https://brainly.com/question/14979505
#SPJ2
Please give an explanation along with your answer.
Answers
Answer: 1.19
Step-by-step explanation:
[tex]\displaystyle\\\frac{3\frac{1}{2}-1\frac{4}{5} }{1\frac{3}{7} }=\\\\\frac{\frac{3*2+1}{2} -\frac{1*5+4}{5} }{\frac{1*7+3}{7} } =\\\\\frac{\frac{6+1}{2}-\frac{5+4}{5} }{\frac{7+3}{7} } =\\\\\frac{\frac{7}{2}-\frac{9}{5} }{\frac{10}{7} } =\\\\\frac{\frac{7*5-9*2}{2*5} }{\frac{10}{7} } =\\\\\frac{\frac{35-18}{10} }{\frac{10}{7} } =\\\\\frac{\frac{17}{10} }{\frac{10}{7} } =\\\\\frac{17*7}{10*10} =\\\\\frac{119}{100} =\\\\1.19[/tex]
Pleaseeee hellp meeeee
Answers
Answer:
57,600 ft
Step-by-step explanation:
boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes. how long will it take for both mowing at the same time to mow the lawn?
Answers
The time taken by both to mow the lawn is 36 minutes.
This is a question of time and work.
It is given that:-
Time taken by boy to mow the loan = 90 minutes.
Time taken by girl to mow the loan = 60 minutes.
We have to find the time taken by both of them together to mow the lawn.
LCM(60,90) = 180
Let the total work to be done to mow the lawn be 180 units.
Hence,
Efficiency of boy = 180/90 = 2 units
Efficiency of girl = 180/60 = 3 units
Total efficiency = 2 + 3 = 5 units.
Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.
To learn more about time and work, here:-
https://brainly.com/question/8032605
#SPJ4
Solve for the value of c.
(20-3)
97°
Answers
i attached a pdf, hopefully it helps you understand!
Perimeter < 18.7 feet
4,1 ft
4.9 ft/
6.4 ft
x ft
Inequality:
Solution:
Answers
The solution to the inequality is x < 3.3
How to determine the solution to the inequality?The given parameters are:
Perimeter < 18.7 feet
Side lengths: 4.1 ft 4.9 ft 6.4 ft x ft
The perimeter of a shape is the sum of the side lengths
So, we have
Perimeter = 4.1 ft + 4.9 ft + 6.4 ft + x ft
Remove the unit
So, we have
Perimeter = 4.1+ 4.9 + 6.4 + x
Evaluate the sum
Perimeter = 15.4 + x
Recall that
Perimeter < 18.7 feet
So, we have
15.4 + x < 18.7
Subtract 15.4 from both sides
x < 3.3
Hence, the solution to the inequality is x < 3.3
Read more about inequality at
https://brainly.com/question/24372553
#SPJ1
Tom made $171 for 9 hours of work. At the same rate, how many hours would he have to work to make 323 ?
Answers
Answer:
Your answer would be 17 because 171 divided by 9 is 19, so 323 divided by 19 would be 17.
Answer:
17 hoursStep-by-step explanation:
Tom made $171 for 9 hours of work. At the same rate, how many hours would he have to work to make 323 ?
we can solve with an equation171 : 9 = 323 : x
x = 9 * 323 : 171
x = 2907 : 171
x = 17
-------------------------
check
171 : 9 = 323 : 17
19 = 19
the answer is goodWILL GIVE 12 POINTS AND BRAINLIEST IF ANSWERED IF ANSWERED CORRECTLY
Solve for t: d=rt-g
Answers
Answer:
d=rt-g
First, add G to both sides
d=rt-g
+g +g
----------
dg=rt
Then divide by r since you're solving for t
dg rt
---=-----
r r
Your answer should be t=dg/r
Hope this helps!
Step-by-step explanation:
5.6x0.7
HElp I DUnNo hOW TO gEt the ANSWER
Ik it’s 3.92 but hOWWw??
Answers
Answer:2
Step-by-step explanation:
There is 2 decimal places because you see how many numbers there are behind each of the decimals when multiplying then add them and that’s how many numbers are behind the decimal in the problem
2 digit long multiplication.
__________________________________________
Long multiplication can seem very intimidating, especially if you're multiplying two numbers that are pretty large, or like in this case if you're using decimals. If you take it step by step, though, you'll be able to do long multiplication in no time.
[tex]\frac{\begin{matrix}\:\:&3&4&\:\:\\ \:\:&\:\:&5&6\\ \times \:&\:\:&\:\:&7\end{matrix}}{\begin{matrix}\:\:&3&9&2\end{matrix}}[/tex]
How do we determine where the decimal point goes?
[tex]5.6\mathrm{\:has\:}1\mathrm{\:decimal\:place}[/tex]
[tex]0.7\mathrm{\:has\:}1\mathrm{\:decimal\:place}[/tex]
[tex]\mathrm{Therefore,\:the\:answer\:has\:}2\mathrm{\:decimal\:places}[/tex]
[tex]=3.92[/tex] is your FINAL ANSWER!
__________________________________________
Learn more:
https://brainly.com/question/12341666
If you still don't understand do not hesitate to reach out.
Hope you have a WONDERFUL day! (:
please solve this question (and explain how it works) thank you!
Answers
Answer:
Equation is 15(x-20) = 945
x = $83
Step-by-step explanation:
The cost of each lesson is $x
The discounted cost = x-20
Since 15 lessons cost 945,
the equation is
15(x-20) = 945
Simplifying by multiplying the term in brackets by 15:
15x - 15(20) = 945
15x - 300 = 945
Adding 300 on both sides isolates the 15 x term
15x = 945 + 300 = 1245
15x = 1245
Dividing both sides by 15 ,
x = 1245/15 = 83
So cost of lesson before discount is $83
Find the value of 3 + x when x = 5?
Answers
Answer: your mom
(x−5)(x−3)