Answer:
Where's the triangle? Do you have an image?
Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E
Answer:
Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.
Step-by-step explanation:
It's clear from the graph,
Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'
Let's choose a point A having coordinates (-2, -1)
By reflecting point A across x-axis,
Rule to be followed for the reflection,
(x, y) → (x, -y)
By this rule, coordinates of the image point A will be,
A(-2, -1) → A"(-2, 1)
Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).
Rule for the dilation of a point about the origin is,
A"(x, y) → A'(kx, ky)
A"(-2, 1) → A'(-2k, k)
Since, coordinates of point A' are (-4, -2),
Therefore, -2k = -4
k = 2
k = 2
Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.
Math help ASAP !!!
Show work!
Answer:
16. -16 17. 15
Step-by-step explanation:
16. Plug in the numbers based on the equation.
-3^2+-2(-3+2)-3^2 = 2
17. Add up the lengths to get the perimeter.
2+2+2+6+3 = 15
Please show full solutions! Will mark brainliest for the best answers! Thanks. Question is attached!
9514 1404 393
9514 1404 393
Answer:
a) P = -28(x -112)² +7500
b) $102.55 or $121.45
Step-by-step explanation:
a) A quadratic relation with a maximum of 7500 at x=112 can be written in vertex form as ...
P = a(x -112)² +7500
The other given point (x, P) = (89, -7312) can be used to find the value of 'a'.
-7312 = a(89 -112)² +7500
-14812 = a(529)
a = -14812/529 = -28
So, the desired quadratic relation is ...
P = -28(x -112)² +7500
__
b) The values of x that make P = 5000 can be found from ...
5000 = -28(x -112)² +7500
-2500 = -28(x -112)² . . . . . . . . subtract 7500
89.286 = (x -112)² . . . . . . . . . . . divide by -28
±9.45 = x -112 . . . . . . . . . . take the square root
x = 112 ± 9.45 = {102.55, 121.45}
Setting the price at about $102.55, or $121.45, will yield a profit of $5000.
Could you please help me with this!!
Answer:
35%
Step-by-step explanation:
7/20 = 35%
Answer:
Step-by-step explanation:
7 /20 = 0.35 = 35%
What two numbers add up to -18 and multiply to 45? (Don’t need to show work)
Which is the correct calculation for the volume of the prism?'
3 units
5 units
4 units
O 3 + 5 + 4 = 12 units
O3(4) + 5 = 17 units?
3(4) = 12 units
3(5)(4) = 60 units
Step-by-step explanation:
V = l.W.H
3(5)(4) = 60 units
The volume of rectangular prism is given by the product of its dimensions hence the correct option is 3(5)(4) = 60 units
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes.
Given that, we need to determine the correct calculation for the volume of the prism,
We know that, the volume of a rectangular prism is the product of its dimensions = length x width x height
Therefore, the correct formula is 3(5)(4) = 60 units
Hence, the correct option is 3(5)(4) = 60 units
Learn more about volumes, click;
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help really fast i need help
Answer:
[(-4+3)(4+2)-5]×3[-1×6-5]×3-6-5×3-11×3-33A) -33 is yr answer.
stay safe healthy and happy.Answer:
A) [tex] - 33[/tex]
Step-by-step explanation:
[tex][{(−4+3) \times (4+2)−5} \times 3][/tex]
[tex]{[−1 \times (4+2)−5} \times 3][/tex]
[tex](−1 \times 6−5) \times 3[/tex]
[tex](−6−5) \times 3[/tex]
[tex]−11 \times 3[/tex]
[tex] - 33[/tex]
Hope it is helpful....Find the slope of the line passing through the points (7,-8)
and
(1, -1).
Answer:
5= - 7/6
Hope this helps
slope = "rise over run" (the change in y coordinates divided by the change in x coordinates) =
(8--7)/(3-7) = 15/-4 = -15/4
6+(-14)
show work add and subtract negative numbers
Answer:
-8
Step-by-step explanation:
6+(-14)
=6+-14
= -8
(Number Line Is Available Just In Case)
Peter wants to purchase a car that costs $3,200. He signs an installment agreement
requiring a 25% down payment. He currently has $650 saved. Does he have enough for the Down payment
Answer:
the answer is No
Step-by-step explanation:
he needs $800 yet he only has $650, he will need $150 more
Find the median of the data set:
10, 9, 4, 8, 8, 3, 6, 8.
Answer:
The median is 8
Step-by-step explanation:
Hope this helps
ning Task 2: Radius and Diameter
plete the table by finding the unknown length of the radius
surement)
Radius Diameter
1 120 cm
2 35 m
3 19 km
Answer:
60
27.5
9.5
Step-by-step explanation:
Recall that: D/2 = r
Therefore 120cm÷2 = 60cm
35m÷2 = 27.5m
19km÷2 = 9.5km
A fair dice is rolled . work out the probability of getting a factor of 8 Give your answer in it's simplest form
Answer:
[tex]Pr = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5,6\}[/tex] --- the faces of the dice
[tex]n(S) = 6[/tex]
Required
Pr(Multiple of 8)
The multiples of 8 in the given dataset are:
[tex]Multiples = \{1.,2,4\}[/tex]
[tex]n(Multiples) = 3[/tex]
So, we have:
[tex]Pr = \frac{n(Multiples)}{n(S)}[/tex]
[tex]Pr = \frac{3}{6}[/tex]
Simplify
[tex]Pr = \frac{1}{2}[/tex]
the florida gators football team recorded the following yardage in seven plays, 9, -3, -5, 0, 12, 20, and -4, order these from greatest to least
HELP ME REALLY FAST
I WILL MARK BRAINLIEST
do these form a proportion?? please help!!!
Answer:
No they do not.
Step-by-step explanation:
For it to form a proportion it needs to be 3/7 and 9/21 not 12/21.
\Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
y = 6 x + 18. y = 2 x minus 6.
y = 6 (x + 18). Y = 2 (x minus 6).
y = one-sixth x + 3. y = one-half x + 6.
y = one-sixth x + 3. y = one-half x + 3.
Answer:
last option: y = 1/6x+3; y = 1/2x+3
Step-by-step explanation:
6y = x + 18
Solve the above for 'y' to get:
y = 1/6x + 3
2y - x = 6
Solve the above for 'y' to get:
2y = x + 6
y = 1/2x + 3
Sabi has $2.50 more than Toni. Together they have $17.50. How much does Toni have?
Answer:
6.25
Step-by-step explanation:
17.50/2=8.75
8.75+2.50=11.25
17.50-11.25=6.25
Answer:
Toni has $7.50
Step-by-step explanation:
Tobi = x
Sabi = x + 2.5
x + x + 2.5 = 17.5
2x + 2.5 = 17.5
2x = 15
x = 7.5
hello please help i’ll give brainliest
Answer:
it will decrease
Step-by-step explanation:
if theres not enough food water, ect for all 55 to survive and only enough to support 40 wolves they will die down
Answer:
It will decrease
Step-by-step explanation:
There are 55 wolves means the wolf population will decrease as the place have only sufficient resources to 40 wolves and will eventually die.
I think this is the answer.
Help me pleaseeeeeeee
Answer:
a
Step-by-step explanation:
i’m so bad at this someone please help me lol!
Answer:
It's B
Step-by-step explanation:
B makes the most sense to me
please help asap! thank you so much! Select the correct answer.
What is the complete factorization of x2 + 4x - 45?
OA. (x + 15)(x-3)
OB. (x-9)(x+5)
OC. (x + 9)(x-5)
OD.
(x- 15Xx+3)
the answer is C. (x+9)(x-5)
Answer:
The answer is C :)
Step-by-step explanation:
Below. What is m∠1?
m∠1 =
Given:
The figure of a triangle.
To find:
The measure of angle 1.
Solution:
Exterior angle theorem: In a triangle, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
Using Exterior angle theorem, we get
[tex]101^\circ =31^\circ +m\angle 1[/tex]
[tex]101^\circ -31^\circ =m\angle 1[/tex]
[tex]70^\circ =m\angle 1[/tex]
Therefore, the measure of angle 1 is 70 degrees.
HELP I'LL GIVE EXTRA POINTS
Step-by-step explanation:
5x+5+79+11x=180°{sum of angle of triangle}
16x+84=180°
x=96/16
x=6
now angle A=5x+5
5×6+535°stay safe healthy and happy.Answer:
5x+5+11x=180-79
16x=101-5
16x=96
x=6
Measure of angle A=5x+5
=(5×6)+5
=35
A rectangle has an area of 228 ft square and a length that measure 12 ft. Find the perimeter of the rectangle. (Answer number only)
Answer: 62 ft^2
Step-by-step explanation: LxW=228. 12w=228. W=19. 19+19+12+12=62
Rewrite the equation in standard form.
x^2=−x−3
Standard form: ____ =0
Answer:
x^2+x+3=0
Step-by-step explanation:
x=-(1+√1-12)/2
Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
Given:
The equation of parallel line is:
[tex]3x-2y=5[/tex]
The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
To find:
The equation of required line.
Solution:
Midpoint of line segment joining the points (-4,2) and (2,4) is:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)[/tex]
[tex]Midpoint=\left(-1,3\right)[/tex]
It means the required line passes through the point (-1,3).
The slope of line [tex]Ax+By=C[/tex] is:
[tex]m=\dfrac{-A}{B}[/tex]
The given equation is:
[tex]3x-2y=5[/tex]
Here, A=3 and B=-2. So, the slope of the line is:
[tex]m=\dfrac{-3}{-2}[/tex]
[tex]m=1.5[/tex]
Slope of parallel lines are same. So, the slope of the required line is 1.5.
The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3=1.5(x-(-1))[/tex]
[tex]y-3=1.5(x+1)[/tex]
[tex]y-3=1.5x+1.5[/tex]
Adding 3 on both sides, we get
[tex]y=1.5x+1.5+3[/tex]
[tex]y=1.5x+4.5[/tex]
Therefore, the equation of the required line is [tex]y=1.5x+4.5[/tex].
Sebastian opened a savings account with $800 that pays no interest. He deposits an
additional $170 each week thereafter. How much money would Sebastian have in the
account 21 weeks after opening the account?
Answer:
$4,370
Step-by-step explanation:
170(21)= $3,570
3,570+800= $4,370
The stem-and-leaf plot above shows the high temperatures for two cities during a period of 7 days.
What is the difference between the mean temperatures for the two cities?
A. 4.1
B. 5.4
C. 7.0
D. 7.7
Answer:
C: 7.0
Step-by-step explanation:
We are told that; 0|5| means 50 and that |4|8 means 48. Thus;
Temperatures for baker city are;
49, 46, 43, 55, 53, 50, 61
Temperatures for felina are;
48, 54, 54, 58, 62, 63, 67
Thus;
Mean temperature of baker city = (49 + 46 + 43 + 55 + 53 + 50 + 61)/7 = 51°F
Mean temperature of Felina = (48 + 54 + 54 + 58 + 62 + 63 + 67)/7 = 58°F
Thus, difference between the 2 mean = 58°F - 51°F = 7.0°F
Jennifer is a car saleswoman. She is paid a salary of $2200 per month plus $300 for each car that she sells. Write a linear function describing the relationship between the number of cars sold x and the monthly salary y?
Answer:
y = 300x + 2200
Step-by-step explanation:
y = 300x + 2200
Im not good at math plz help :)
Answer:
D. 23/27
Step-by-step explanation:
The good news is, they wrote out all the possible options for you.
There are 27 possibilities in all, so that's our denominator.
They want to know which possibilities have a W in there OR an R comes first. So we'll count up the possibilities that start with R. There are 9.
Then, of the remaining 18, 14 include a W somewhere in there.
9 + 14 = 23 out of 27.
We are not counting the Ws in the possibilities that start with R, because of the OR in the sentence.
Please let me know if you have questions about this.