The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)
How to work with transformation of objects?
We are given the vertices of Triangle CDE as;
C(-2,-2), D(1,-4), and E(-3,-4).
Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.
However, we are told that it is centered about the point (-1.-3).
Thus;
Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.
Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)
Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.
Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)
Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.
Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)
B) Reflection in the line y = -x gives;
C'(2, -2), D(-1, 4), and E(3, 4)
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Pls answer I need help!
Dividing fractions is the same as multiplying the reciprocal.
As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.
Keep: [tex]\frac{4}{9}[/tex]
Switch: the division sign to multiplication.
Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].
Now, your problem looks like this:
[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)
Multiply across.
4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.
Given vectors u = (2, -3) and v= (1, -1), what is the measure of the angle between the vectors?
O 11.3°
O 78.9°
O 92.2°
O 101.3°
Answer:
A) 11.3°
Step-by-step explanation:
got it right on edge :)
The measure of the angle between the vectors will be 11.3°. Then the correct option is A.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The angle between the vector is given as,
[tex]\theta = \cos^{-1} \dfrac{u \cdot v}{\left|a \right|\left|b \right|}[/tex]
Given vectors u = (2, -3) and v= (1, -1).
Then the measure of the angle between the vectors will be
[tex]\theta = \cos^{-1} \dfrac{(2, -3)\cdot (1, -1)}{\sqrt{2^2+(-3)^2} \ \sqrt{1^2 + (-1)^2}}\\\theta = \cos^{-1} \dfrac{2 + 3}{\sqrt{13} \sqrt{2}}\\\theta = \cos^{-1} \dfrac{5}{\sqrt{26}}\\[/tex]
θ = 11.3°
Then the correct option is A.
More about the angled link is given below.
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i need help only 10 points today
Answer:
D is the correct answer
Step-by-step explanation:
hopes this helps
Answer:
C- $4,822
Step-by-step explanation:
4% of 41300 is 1652
4.5% of 44100 is 1984.5
3% of 39500 is 1185
1185 + 1984.5 + 1652 = 4821
4822 is 1 number away from 4821, which is the closest of all of the choices. Therefore the answer is C- 44,822. If this answer helped you please consider giving it brainliest.
- •Trix•
( Yes I know my -•Trix• is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
Can you please help me with this question?
Answer:
Reflection over the y-axis and a translation down two units
Step-by-step explanation:
You can see that the corners of the triangle have been vertically reflected because of their orientation and then you have to think about what that would look like and decide what else was done to the object. With this, we can tell that the object moved down 2 units.
Slope From Graph.. Help
slope is 3
Step-by-step explanation:
y2-y1/x2-x1
so 3-0/-1--2 or 3-0/-1+2
what is the equation of the line 6x+8y=-10 in slope intercept form
Please help me, It'll mean a lot. :)
Answer
The answer is B
WILL GIVE BRAINLIEST!!
Answer:
1 1/3?
Step-by-step explanation:
What is the value of x? Enter your answer in the box
Answer:
x=28
Step-by-step explanation:
Set 2x-4 equal to 60 and solve.
The three angles in the triangle add up to 180. Divide this by 3 and you get 60.
what is the fractional equivalent of the repeating decimal 0.6
Step-by-step explanation:
To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6 , the six is in the tenths place , so we place 6 over 10 to create the equivalent fraction , 6 / 10
Can Any One Help
WILL GIVE BRAINLIEST
1) A
Equations simplified:
A: y = 2x + 3
B: y = -3x + 3
2) Red is A, Blue is B
on a beautiful day there are 65 cars in the beach parking lot 26 more cars park in the parking lot before noon but 17 car slept how many cars are in the beach parking lot
Answer:
a
Step-by-step explanation:
Given the side lengths, determine whether the triangle is acute,right, obtuse, or not a triangle
Answer:
acute angle
Step-by-step explanation:
just took the test
Given the point (1, 2) and a slope of 4, write the equation in point slope form.
This article is about the math term. For other uses, see Slope (disambiguation).
For the grade (incline or gradient or pitch or slope) of any physical feature, see Grade (slope).
Slope: {\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}{\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]
Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.
The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.
A line is increasing if it goes up from left to right. The slope is positive, i.e. {\displaystyle m>0}m>0.
A line is decreasing if it goes down from left to right. The slope is negative, i.e. {\displaystyle m<0}m<0.
If a line is horizontal the slope is zero. This is a constant function.
If a line is vertical the slope is undefined (see below).
The rise of a road between two points is the difference between the altitude of the road at those two points, say y1 and y2, or in other words, the rise is (y2 − y1) = Δy. For relatively short distances, where the earth's curvature may be neglected, the run is the difference in distance from a fixed point measured along a level, horizontal line, or in other words, the run is (x2 − x1) = Δx. Here the slope of the road between the two points is simply described as the ratio of the altitude change to the horizontal distance between any two points on the line.
In mathematical language, the slope m of the line is
{\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}m=\frac{y_2-y_1}{x_2-x_1}.
The concept of slope applies directly to grades or gradients in geography and civil engineering. Through trigonometry, the slope m of a line is related to its angle of incline θ by the tangent function
{\displaystyle m=\tan(\theta )}m = \tan (\theta)
Thus, a 45° rising line has a slope of +1 and a 45° falling line has a slope of −1.
True or False: 400 more than the product of 60 and 90 is the same as 60 x 90 + 400
Answer:
true
Step-by-step explanation:
mark as brainliest plz
Answer:
True
Step-by-step explanation:
400 + 60 x 90 = 400 + 5400 = 5800
60 x 90 + 400 = 5400 + 400 = 5800
put these in order from least to greatest
14 √166 13
Answer:
sqrt166, 13, 14
Step-by-step explanation:
What percentage of a dollar is the value of each coin combination?
a. 4 dimes:
b. 1 nickel and 3 pennies:
c. 5 quarters and 1 dime:
Answer:
C.
Step-by-step explanation:
I got this correct!
Please solve the equation x+16=9x and show work please
Answer:
2
Step-by-step explanation:
x+16=9x
x-9x=-16
-8x=-16
x=2
+16=9
x+16=9xx+16=9x
Solve
Subtract
16
1616
from both sides of the equation
+16=9
x+16=9xx+16=9x
+16−16=9−16
Simplify
Subtract the numbers
=9−16
x=9x-16x=9x−16
Subtract
9
9x9x
from both sides of the equation
=9−16
x=9x-16x=9x−16
−9=9−16−9
Simplify
Combine like terms
Combine like terms
−8=−16
Divide both sides of the equation by the same term
−8=−16
-8x=-16−8x=−16
−8−8=−16−8
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
x=2
A tie-dye kit with one T-shirt costs $15. Each additional T-shirt costs $4 more. Choose the explicit formula to represent the situation.
A. an = 11 + 4n
B. an = 4 + 15n
C. an = 19 + 4n
D. an = 15 + 4(n + 1)
Answer:
a
Step-by-step explanation:
i just took the test
The explicit formula that represents the situation is [tex]a_{n}[/tex] = 11 + 4n thus option (A) is correct.
What is the pattern?A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.
Another example is 2,4,16,256 in this pattern each term is the square of the previous term and this will become its specific pattern.
As per the given,
Cost of a tie-dye kit + 1 T-shirt = $15
Additional T-shirt = $4
This, means,
Cost of a tie-dye kit + $4 = $15
Cost of a tie-dye kit = $11
The total cost with n number of T-shirts will be as,
[tex]a_{n}[/tex] = 11 + 4n
Hence "The explicit formula that represents the situation is [tex]a_{n}[/tex] = 11 + 4n".
For more information about the pattern,
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Please hurry! Marking beainliest!
Answer:
the ine you have selected is right
Step-by-step explanation:
we know12 inches is 1 foot we can keep going up andsee that 24 inches is 2 and so on
Answer: C correctly converts inches to feet.
Step-by-step explanation:
12 inches is one foot. 12+12 is 24. 12+12+12+12 is 48. And so on
Create a linear equation for the following data:
x | y
-1, 11/3
1, 7/3
3, 1
6, -1
Please help if you know
Answer:
y=-.386x + 2.879
Explanation:
For these type of calculations, you would have to use a graphing calculator to use the linear regression function. What this does is, it takes the x & y values given on the chart and it gives you the best possible linear equation for the given data set.
The exact results were:
y = -0.3862928349 + 2.869158879
10. What is the value of x in the solution to the system of equations?
x – 2y = 7
3x + 2y = 21
+/-
Solve for x in first equation:
x-2y=7
Add “2y” to both sides
x=2y+7
Put this in to second equation:
3(2y+7)+2y=21
Solve for y:
Distribute the 3 into the ()
6y+21+2y=21
Combine the like y terms
8y+21=21
Subtract 21 from both sides
8y=0
Divide by 8 on both sides
y=0
Put this into the first solved equation:
x=2(0)+7
Solve for x:
Multiple 2(0)
x=0+7
Add 0 and 7
x=7
So the value of x is positive 7.
Kim reads 360 words in 3 minutes. It Kim continues to read at the same rate, how many words can she rend in 1 hours?
Answer:
7200 word in 1 hour
Step-by-step explanation:
360/3 to get how many words she can read in a minute which is 120.
Then times it by 60 (60 mins in an hour) to get the total amout of words she reads in an hour. 120 x 60 = 7200 words.
What is the value of the expression when x = 7 and y = 7? A. 8 B. 15 C. 50 D. 97
PLS HELP
Answer:
B. 15
Step-by-step explanation:
Ella finished a bike race in 37.6 minutes. Miranda finished the race minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race?
Complete question :
Ella finished a bike race in 37.6 minutes. Miranda finished the race 9 1/10minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race
Answer:
28.5
Step-by-step explanation:
Time taken by Ella = 37.6 minutes
Time taken by Miranda = 9 1/10 minutes sooner than Ella
Hence,
Miranda's finish time :
37. 6 minutes - 9 1/10 minutes
37.6 - 91/10 minutes
37. 6 minutes - 9.1 minutes
= 28.5 minutes
Adams High School is going to select a committee. The committee will have a faculty member, a male student, a female student, a parent, and a school board member. Here are the positions and the people interested in each. Position People interested Faculty member Mr. Jackson, Mrs. Washington Male student Tom, Omar, Keith, Justin Female student Donna, Charmaine, Rita, Keiko Parent Dr. Ward, Ms. Allen, Mrs. Flores, Mrs. Smith School board member Dr. Davis, Ms. Young, Mrs. King, Mr. Adams Based on this list, how many ways are there to fill the five committee positions?
Answer:
512 ways
Step-by-step explanation:
Given
Selection
Faculty Member = 1
Male Student = 1
Female Student = 1
Parent = 1
School Board Member = 1
Select from:
Faculty Member = 2
Male Student = 4
Female Student = 4
Parent = 4
School Board Member = 4
Required
Determine how many ways they can be selected
There are 2 faculty members of which 1 will be selected from.
Any of these two members may be selected.
So, Selection = 2
There are 4 male students of which 1 will be selected from.
Any of these four students may be selected.
So, Selection = 4
There are 4 female students of which 1 will be selected from.
Any of these four students may be selected.
So, Selection = 4
There are 4 parents of which 1 will be selected from.
Any of these four parents may be selected.
So, Selection = 4
There are 4 school board members of which 1 will be selected from.
Any of these four members may be selected.
So, Selection = 4
Total number of selection is then calculated as thus:
[tex]Selection = 2 * 4 * 4 * 4 * 4[/tex]
[tex]Selection = 512[/tex]
Hence, there are 512 ways
Find the area of the patio
Answer:19x^2-68x
Step-by-step explanation:
first, add the 2x on the side of the large rectangle to the 2x on the pool side to find the length. then find the area of the entire image (4x•8x-10=32x^2-40x) now find the area of the pool (2x•6x-14=12x^2-28x) and add it to the area of the hot tub (x•x=x^2) (13x^2-28x) finally subtract that from the area of the entire image (32x^2-40x=19x^2-68x)!
okay so who else on here is a stoner whos doing online school cuz regular school is just not it
Answer:
ME
Step-by-step explanation:
Need help with finding my solution and graphing !
Answer:
Step-by-step explanation:
Both the equations that you modelled are correct.
Use the substitution method to solve the system of equations
[tex]R+C = 526\\5R+4C=2327\\[/tex]
Take the first equation
[tex]R+C=526\\C=526-R[/tex]
Now this becomes our third equation and now insert it into our second equation
[tex]5R+4C=2327\\5R+4(526-R)=2327\\5R+2104-4R=2327\\R=2327-2104\\R=223[/tex]
Now insert R = 223 in any equation. Lets insert it into equation number three
[tex]C=526-R\\C=526-223\\C=303[/tex]
So 223 number of roll papers were sold and 303 number of candles were sold.
I have attached the graph below check it out.
Where both the equations of line intersect is our solution thus we can confirm that our answer is correct.
Does this look right?
Answer:
yes
Step-by-step explanation:
Answer:
sure
Step-by-step explanation: