Answers
Answer:
17. D
18. C
Step-by-step explanation:
For both of these questions, you only need a general understanding of what rotation, translation, and dilation do. That is sufficient to let you choose the correct answer.
17.The coordinates of Y are both negative, so it is a point in quadrant III on the graph. Rotating a point in quadrant III 270° clockwise will rotate it through quadrants II and I to quadrant IV, where it will be to the right and below the origin. Translation 9 units right and 5 units down will put it farther to the right and farther below the origin, still in quadrant IV.
As you know, translation right 9 units adds 9 to the x-coordinate. Translation down 5 units subtracts 5 from the y-coordinate. That means the coordinates of Y' must have x > 9 and y < -5. There is only one answer choice like that:
D. Y'(11, -8)
__
18.Dilation about the origin multiplies each coordinate by the scale factor. It does not change the quadrant of a point on the graph. The original coordinates of R are (negative, positive), so it is in quadrant II. The dilated point will still be in quadrant II, but will be closer to the origin. Both coordinate values will change.
R' = (1/3)R = (1/3)(-2, 3) = (-2/3, 3/3)
R' = (-2/3, 1) . . . . . matches choice C
Related Questions
Expand the following expressions and write in standard form. Show your work.
a) (3x + 2)(1 - 4x)
b) (x - 5)^2(2x + 7)
Please help!!!!
Answers
3x(1-4x)+2(1-4x)
3x-12x²+2-8x
-5x-12x²+2
a
The eighth-grade class has a total of 162 students. The students need to be
divided evenly into homerooms. There needs to be at least 20 students in
each homeroom. List all the possible combinations. Which combination
makes the most sense? Explain.
Answers
Answer:
162/20 Would be your answer, however, it wouldn't make sense as you can not switch students into decimals. Therefore, you could make 7 classes of 20, and one of 22, and 6 classes of 20, and two of 21. Therefore, there are two combinations that are possible.
Step-by-step explanation:
Refer to the answer.
Answer:
56
Step-by-step explanation:
please help,I WILL GIVE BRAINLIEST.
Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answers
Answer:
During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours.y = 5x + 3
During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. y = 5.5x + 2
Then using both equations will be:
y = 5x + 3
y = 5.5x + 2
Subtract the equations
0.5x = 1
x = 1/0.5 = 2
Therefore, the value of y will be:
y = 5x + 3 = 5(2) + 3 = 13
Shawna wanted to boat across the river, but did not know how wide it was. She walked along the shore for 90 feet and sighted across the water to the point she wanted to go. The angle that the sight line made with the shoreline was 65°. What was the distance across the river?
Answers
The distance across the river, given the angle of the line of sight and the
distance along the shoreline is found using trigonometric ratios.
The distance across the river is approximately 193 feet.Reasons:
The distance along the the shore Shawna walked before sighting across the river = 90 feet
The angle made by the line of sight and the shoreline, θ = 65°
Required:
The distance across the river.
Solution:
Taking the initial location of Shawna to be the closest place to point she wanted to go across the river, we have;
The shortest distance across the river = A perpendicular line
Therefore, the following sides, form a right triangle;
The line of sight.The distance along the shoreline Shawna walked, andThe closest distance across the river.Where:
The line of sight = The hypotenuse side
The distance she walked = The adjacent side to angle 65° angle
The closest distance across the river = The opposite side to the 65° angle
By trigonometric ratio, we have;
[tex]\displaystyle tan(\theta) = \frac{Opposite \, side \, to\ angle}{Adjacent\, side \, to\, angle} = \mathbf{\frac{Distance \ across \ the \ river}{Distance \ along \ the \ shoreline}}[/tex]Which gives;
Opposite side to angle = tan(θ) × Adjacent side to angle
Therefore;
Distance across the river = tan(65°) × 90 feet ≈ 193.0 feet
The distance across the river is approximately 193 feetLearn more about trigonometric ratios here:
https://brainly.com/question/10270672
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pls help due soon i’ll mark brainliest
Answers
I can't see anything dude, you on something?
Determine the intercepts of the line.
Answers
Answer:
y-intercept: (0,5)
x-intercept: (5/2,0)
Step-by-step explanation:
[tex]-4x+7=2y-3[/tex]
[tex]-4(0)+7=2y-3[/tex]
[tex]0+7=2y-3[/tex]
[tex]7=2y-3[/tex]
[tex]10=2y[/tex]
[tex]5=y[/tex] <-- y-intercept: (0,5)
[tex]-4x+7=2y-3[/tex]
[tex]-4x+7=2(0)-3[/tex]
[tex]-4x+7=-3[/tex]
[tex]-4x=-10[/tex]
[tex]x=\frac{5}{2}[/tex] <-- x-intercept: (5/2,0)
(03.02) If g(x) = x2 + 2, find g(3). (2 points) Group of answer choices 9 8 11 6
Answers
this answers is 8 am I right
The cost of a jacket increased from $60.00 to $71.40. What is the percentage increase of the cost of the jacket?
Answers
Answer:
19%
Step-by-step explanation:
Percentage increase = ( (final value - original value) / original value ) x 100
= ( ($71.40 - $60.00) / $60.00 ) x 100
= 19%
[tex]71.40 - 60 = 11.40[/tex]
to find the increase of percentage, divide the amount of increasing price with intial price and multiply with 100%
[tex] \frac{11.40}{60} \times 100\% = 19\%[/tex]
so the cost of jacket has increased 19%
Jim has 44 nickels and dimes totaling $2.95. How many nickels does he have?
Answers
29 Nickels
15 Dimes
Hope this is helpful!
Kashira has 3/9 of a pizza and Laila gave her 1/3 of a pizza. How much pizza does Kashira have now? Please provide your answer in simplest form. (NVM FIGURED IT OUT)
Answers
Answer:4/9 pizzas
Step-by-step explanation:
Need Help....
I can't understand the question so please help me.....
[tex]for \: x \: such \: that \: 0 < x < \frac{\pi}{2}[/tex]
It is the expression
[tex] \frac{ \sqrt{1 - {cos}^{2}x } }{sin \: x} \:- \frac{ \sqrt{1 - {sin}^{2}x } }{cos \: x} \\ \\ is \: equivalent \: to:[/tex]
[tex]f.0 \\ g.1 \\ h.2 \\j. - tan \: x \\ k. \: sin \: 2x[/tex]
Don't spam and Don't copy
Don't answer if you don't know
Thank You!
Answers
If 0 < x < π/2, then both sin(x) and cos(x) are positive.
From the Pythagorean identity, we then have
cos²(x) + sin²(x) = 1
⇒ cos(x) = + √(1 - sin²(x)) and sin(x) = + √(1 - cos²(x))
Then
√(1 - cos²(x))/sin(x) = sin(x)/sin(x) = 1
and
√(1 - sin²(x))/cos(x) = cos(x)/cos(x) = 1
so that the overall expression reduces to
1 - 1 = 0
A moneylender’s income decreased by $60 When the rate of interest dropped from 8% per annum to 7 3/4 % per annum . What was his principal?
Answers
Answer:
$24,000
Step-by-step explanation:
The difference for principal amount P is ...
(8% × P) - (7 3/4% × P) = $60
0.0025P = $60
P = $24,000 . . . . . multiply by 400
His principal was $24,000.
Q6 (i) please i don’t know what i’m doing wrong
Answers
x + 5 = 5^2 – x
x + 5 = 25 – x
Then rearrange to make x the subject.
x + 5 = 25 – x
2x + 5 = 25
2x = 20
x = 10
Answer:
x = 4
Step-by-step explanation:
Square both sides
x+5 = 25-10sqrt(x)+x
20 = 10sqrt(x)
sqrt(x) = 2
Square both sides again
x=4
Verify sol
x = 4
Brian has DVDs and CDs. The number of CDs he has can be modelled with the formula C = 2D + 11, where C represents the number of CDs and D represents the number DVDs. If he has 41 CDs, how many DVDs does he have?
Answers
Answer: 15 DVDs
Step-by-step explanation:
C = 2D + 11
41 = 2D + 11
2D = 30
D = 15 DVDs
y = 2x + 7
3x - 4y = -13
Answers
Can someone please help me with 54? It’s the last one and it’s due in 1 hour Tysm if you do!!
Answers
Answer:
The awnser should be 4. (3x4 = 12, 12 x 4 = 48, 48 x 12 = 192, 192 x 4 = 768. )
Step-by-step explanation:
(Hope this helps, Happy holidays!!)
If 12g of a radioactive substance are present initially and 8yr later only 6g remain, how much if the substance will be present after 13 years?
Answers
The weight of substance remaining after 13 years is 2.25 g.
Given:
Present weight of substance = 12 g
After 8 years weight remains = 6 gm
Now, weight loss in 8 year will be,
12-6=6 gm
So, weight loss in 1 year will be,
[tex]\dfrac{6}{8} =\dfrac{3}{4}[/tex]
Total weight loss in 13 year will be,
[tex]\dfrac{3}{4}\times13=9.75[/tex]
The weight of substance remaining after 13 years will be,
[tex]12- 9.75 = 2.25 \;\rm g[/tex]
Therefore, the weight of substance remaining after 13 years is 2.25 g.
To know more about radioactive decay, refer to the link:
https://brainly.com/question/12116123
Unit Rate
Madison can eat 12 eggs in 20 minutes. How many
eggs can she eat in 35 minutes?
Answers
Answer:
37
Step-by-step explanation:
38 + u actually thought lol
A T-shirt company charges $4 per T-shirt, plus a
flat shipping fee of $5. Terry bought some
T-shirts. How can you write an algebraic
expression to represent the total cost of Terry's
order including shipping?
Plz help plz
Answers
Answer:
y = 4x + 5
Step-by-step explanation:
4 times the number of shirts, which is unknown, +$5 no matter how many.
Answer:
4x + 5
Step-by-step explanation:
Four multiplied by the number of shirts purchased (x) plus five dollars for shipping.
I hope this helps!!
Please answer both please please I’ll give brainly
Answers
Answer:
4. 9
5. 5x
Step-by-step explanation:
its an isocoles
What is the coefficient of the term x°ys in the
expansion of the binomial expression
(2x - y)8?
Answers
Answer:
if it is (2x-y)8
then it is 16x - 8y
[tex]x^0[/tex]y = 1.y = y
so the co efficient of y is -8
Step-by-step explanation:
A ball is thrown upward from a height of 15 feet with an initial upward velocity of 5 feet per second. Use the formula b(t)= -16t^2 + 5t + 15 to find the time it takes for the ball to reach the maximum height of the ball. Round to the nearest tenth
A. 0.2 seconds
B. 0.1 seconds
C. 0.3 seconds
D. 0.9 seconds
Answers
Answer:
0.2 seconds
Step-by-step explanation:
The graph of b(t) = -16t^2 + 5t + 15 is a parabola opening downward. The maximum value of b(t) occurs at the vertex. The t-coordinate of the vertex is t = -5 / (2(-16)) = 5/32 = 0.15625 sec ≈ 0.2 sec.
Answer:
A) 0.2 seconds
Step-by-step explanation:
[tex]b(t)=-16t^2+5t+15[/tex]
[tex]v(t)=-32t+5[/tex] <-- Take the derivative
[tex]0=-32t+5[/tex] <-- Set equal to 0
[tex]-5=-32t[/tex]
[tex]\frac{5}{32}=t[/tex]
[tex]t=\frac{5}{32}[/tex]
[tex]t\approx0.2[/tex]
Therefore, it will take the ball about 0.2 seconds to reach its maximum height (which happens to be about 15.4 feet BTW).
Alternatively, another non-calculus approach is the fact that the parabola opens downward, and as such, the maximum of [tex]b(t)[/tex] occurs at the vertex where [tex]t=-\frac{b}{2a}[/tex], therefore [tex]t=-\frac{5}{2(-16)}=\frac{-5}{-32}=\frac{5}{32}\approx0.2[/tex]
The ratio of three number is 5:6:7. If the sum of the numbers is 54. What
are the numbers?
Answers
[tex]5x + 6x + 7x = 54 \\ = > 18x = 54 \\ = > x = 3[/tex]
So, the numbers are (5 × 3) i.e., 15, (6 × 3), i.e., 18, (7 × 3), that is 21.Answer:
The numbers are 15, 18 and 21.
Hope you could get an idea from here.
Doubt clarification - use comment section.
four water bottles can hold 8 gallons of water how much water can ten big water bottles hold
Answers
Answer:
20 gallons of water.
Step-by-step explanation:
4 water bottles = 8 gallons
1 water bottle = 2 gallons
X = Number of Water bottles
N = Gallons Per Water Bottle
X * N
10 * 2
20
The standard configuration for a Colorado license plate is 3 letters followed by 3 digits. How many different license plates are possible if letters and digits can be repeated?
Answers
Answer:
17,576,000 different combinations possible.
Step-by-step explanation:
Write the name of a polynomial (using the degree) with the sequence of the
outputs: (5,2,-1,-4, ...}*
Type ONE word
Answers
Answer:
pentagon
Step-by-step explanation:
5 degree angle
A dress originally priced at 8080 dollars was put on sale for 25\%% off. If 10\% tax was added to the sale price, then the total selling price (in dollars) of the dress was
Answers
Answer: If the dress orginially priced at 8080 dollars and put for 25 percent, that means that you have to move the decimal point to the left twice which will result as 0.25 and 10 percent tax ends up as 0.10. Multiply the two and the product, you have to add to the 8080!
Step-by-step explanation:
HELP GIVING BRAINLIEST!
Answers
Answer:
C
Step-by-step explanation:
Answer:
y = 1/4x
Step-by-step explanation:
A salesperson's commission rate is 4% what is the commission from the scale of 39,000 worth of furnaces?
Suppose sales would double. What would be true about the commission?
Answers
Answer:
3,120
Step-by-step explanation:
hope it will help you
9 13 / 16 + 10 3 / 8 =