Answer:
Q(2, −1), S(−6, 5)
Step-by-step explanation:
The original ordered pairs were (2, 1) and (−6, −5). When you reflect across the x-axis the x-coordinates of the two ordered pairs are the same, and the y coordinate is the opposite in sign (positive and negative).
so since the original ordered pairs were (2, 1) and (−6, −5), the reflected ordered pairs would be Q(2, −1), S(−6, 5) because the y-coordinates are different and the x-coordinates are the same.
Hope this helped fellow FLVS student!!
The coordinates are Q(2, −1) and S(−6, 5)
What is reflection of points?A reflection point occurs when a figure is constructed around a single point, known as the point of reflection or centre of the figure. For every point in the figure, another point is found directly opposite to it on the other side. Under the point of reflection, the figure does not change its size and shape.
Given that, On a coordinate grid, point P is at (2, 1) and point R is at (−6, −5). Points Q and S are a reflection of both points across the x-axis.
We know that, when you reflect across the x-axis, the x-coordinates of the two ordered pairs are the same, and the y coordinate is the opposite in sign (positive and negative).
So, since the original ordered pairs were (2, 1) and (−6, −5), the reflected ordered pairs would be Q(2, −1), S(−6, 5) because the y-coordinates are different and the x-coordinates are the same.
Hence, The coordinates are Q(2, −1) and S(−6, 5)
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Brian has reduced his cholesterol level by 16% by following a strict diet and regular exercise. If his original level was 260, what is his approximate cholesterol level now?
Answer:
218.4
Step-by-step explanation:
What are the coordinates of point Q after this reflection
-8,3
-8,-3
-3,-8
8,3
The new coordinates of Q are (-8, -3).
When reflecting a point across the X-axis, the X-coordinate remains unchanged, while the Y-coordinate changes its sign. From the figure attached, we find coordinates of Q are (-8,3). Therefore:
The X-coordinate of Q remains as -8.The Y-coordinate of Q changes from 3 to -3.As a result, the coordinates of point Q after reflection along the X-axis will be (-8, -3).
Therefore, the new coordinates of point Q are (-8, -3).
What are the coordinates of the vertex for f(x) = x2 + 6x + 13?
A. (4, 4)
B. (−4, 4)
C. (3, 4)
D. (−3, 4)
Which of the following is a factor of 5x3 + 320?
A. 5
B. x+4
C. x^2-4x+16
D. All of the above
Which expression is equivalent to (b^n)^m
Answer:
C. [tex]b^{n\cdot m}[/tex]
Step-by-step explanation:
We have been given an expression [tex](b^n)^m[/tex]. We are asked to find the equivalent expression to our given expression.
Using exponent property [tex](a^b)^c=a^{b\cdot c}[/tex], we can write our given expression as:
[tex](b^n)^m=b^{n\cdot m}[/tex]
Therefore, option C is the correct choice.
A quarter circle is attached to the side of a square as shown.
What is the best approximation for the area of this figure?
Use 3.14 to approximate pi.
28.6 m²
41.1 m²
66.24 m²
116.5 m²
The measures of two of the angles in a triangle are green. Find the measure of the thirs angle. Show your calculations to support your answer.
5-8?
The area of a rectangle is 9.312 x 104 cm2 and the width is 2.56 x 102 cm. What is the length? A) 3.6375 x 102 B) 3.6375 x 106 C) 6.752 x 102 D) 6.752 x 106
Step-by-step explanation:
For USATestprep people.
what is the classification for this polynomial?
4
Choices:
A. Monomial
B. Binomial
C. Trinomial
The price of a share of stock started theday at $37. During the day it went down $3, up $1, down $7, and up $4.What was the price of a share at the end of the day?
Two tons of water is pumped into a tank 15 ft. high in 5 minutes. Determine the power output of the pump.
Answer:
0.364 horsepower
Step-by-step explanation:
You want to know a pump's power output if it raises 2 tons of water 15 ft in 5 minutes.
PowerThe power is conveniently measured in horsepower. One horsepower is 33,000 ft·lb/minute.
Here, we have (2t · 2000 lb/t · 15 ft)/(5 min) = 12000 ft·lb/min
In terms of horsepower, that is ...
(12000 ft·lb/min) / (33000 ft·lb/min/hp) = 4/11 hp ≈ 0.364 hp
The power output of the pump is about 0.364 horsepower.
__
Additional comment
That's about 271 watts.
The distance dimensions are in feet, so we assume the tons are US short tons of 2000 lb each.
Carson’s estimate for the cost of tiling his bathroom floor is $25 plus $5 per square foot. He says that he can model the cost with a linear function. Is Carson correct? Why or why not?
Joe can buy a pair of canvas shoes for $7 or a pair of leather shoes for $35. At these prices, what is the ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes?
A. 1/10
B. 1/5
C. 2/5
D. 2/15
E. 3/10
Final answer:
The ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes is D. 2/5.
Explanation:
To find the ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes, we need to calculate the total cost of each option.
For 6 pairs of canvas shoes, the cost is $7 per pair, so the total cost is 6 x $7 = $42.
For 3 pairs of leather shoes, the cost is $35 per pair, so the total cost is 3 x $35 = $105.
Therefore, the ratio is $42 : $105, which simplifies to 2/5.
△ XYZ∼ △ DEF, YZ is 10 meters, XZ is 15 meters, and EF is 8 meters. What is DF?
△ XYZ∼ △ DEF, YZ is 10 meters, XZ is 15 meters, and EF is 8 meters. What is DF?
Solution:
As, △ XYZ∼ △ DEF , so the ratio of sides of triangle is equal.
So, we have, [tex] \frac{XY}{DE} =\frac{YZ}{EF} =\frac{XZ}{DF} [/tex]
Using, [tex] \frac{YZ}{EF} =\frac{XZ}{DF} [/tex]
So, we get,[tex] \frac{10}{8} =\frac{15}{DF} [/tex]
Now, to solve for DF, we must simplify
Simplifying,[tex] \frac{10}{8} =\frac{5*2}{4*2}=\frac{15}{DF) [/tex]
[tex] \frac{5}{4} =\frac{15}{DF} [/tex]
To simplify, Let us multiply by 4*DF on both sides
[tex] \frac{5*4DF}{4} =\frac{15*4DF}{DF} [/tex]
[tex] \frac{5DF}{1} =\frac{15*4}{1} [/tex]
So, 5 DF=15*4=60
To solve for DF, let us divide by 5 on both sides
[tex] \frac{5}{5} DF=\frac{60}{5} [/tex]
[tex] \frac{1}{1} DF=\frac{12}{1} [/tex]
So, DF=12meters
solve proportion 12/p = 36/45
The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If the flagstick is 6 feet tall, how far away is the golf ball from the base of the flag stick?
A. 13.5 ft
B. 12.3 ft
C. 9.8 ft
D. 14.6 ft
E. 15.1 ft
Answer:
The Golf ball from the base of the flag stick is 13.5 ft
A is correct.
Step-by-step explanation:
Please see the attachment for figure.
Let AB is height of flag stick. AB=6 ft
BC is distance of golf ball from base of the flag stick.
In ΔABC, ∠B=90°
[tex]\dfrac{AB}{BC}=\tan 24^\circ[/tex]
[tex]\dfrac{6}{BC}=0.4452[/tex]
[tex]BC=13.5[/tex] ft
Hence, The Golf ball from the base of the flag stick is 13.5 ft
What is the sum of the geometric series:
3
∑5(-2/3)^i
i=0
helppppppppppppppppppppp
How many possible outcomes would there be if three coins were each tossed once?
The blue figure is a dialation image of the black figure. The labeled point is the center of dilation. Tell wheaten the dilation is a enlargement or a reduction. Then find the scale factor of dilation
The dilation's scale factor will be 1/4.
The division method is used to divide a bunch of items into equal portions.
Division is the inverse of multiplication. For instance, dividing 20 by 2 means dividing 20 into two equal groups of ten.
Given this,
The blue figure is a magnified version of the black one.
Furthermore, the origin is the center of dilatation.
Now,
Because the blue figure is a dilatation of the black one.
Furthermore, the origin is the center of dilatation.
In this case, the length of the black figure equals 16 units.
Furthermore, the length of the blue figure equals 4 units.
As a result, the dilation scale factor is 4/16.
= 1/4
which term describes the red curve of the figure below?
Answer:
A) Hyperbola.
Step-by-step explanation:
Given : Figure .
To find : Which term describes the red curve of the figure below.
Solution : We can see from the given figure two red curve up and down .
Hyperbola : A hyperbola is two curves that are like infinite bows.
Therefore, A) Hyperbola.
What is 0.673 rounded to the nearest hundredths
0.673 rounded to the nearest hundredth as 0.67
The digit in the smallest location is unaffected if it is less than 5 in number. Rounding down is the process of reducing a number to zero after a certain number of digits. The digit in the smallest location is added with +1 if it is bigger than or equal to 5.
To round off 0.673 to the nearest hundredth means hundredth digit after decimal, To do so take a look on the thousandth digit after decimal, If it is greater than 5 or equal to 5 increase the hundredth digit after decimal by 1 otherwise no change,
Here, the thousandth digit is 3, 3<5. So, no increment is required.
It will remain as 0.67.
Thus, 0.673 is 0.67 after rounding off to the nearest hundredth.
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solve 30 - 9.8x
A.) x = 39.8
B.) x = 20.2
C.) x = 3.06
D.) x = 0.33
Answer: x = 3.06
Step-by-step explanation:
You do 30 divided by 9.8 and you get 3.06
what is the solution to the proportion 3/m=12/15
a fair cube is used in a game . the face of the cube are labeled 1 through 6 . what is the probability of a player rolling a number grater than 4 ?
A) –6n + 2mn – 25np
B) –6n + 2m – 25np
C) –6n – 2mn + 25np
D) –24n + 8mn – 100np
Can someone please explain this to me? I keep getting -infinity as the answer.
what is the domain of the function y=3sqrt(x)
Find the prime factorization of 60
Can I get some help
Choose the right answer. If the distance on a map from point R to point T measures 3.0 inches and the scale is 1 inch = 0.5 miles, what is the distance in miles from point R to point T? ______ miles
A. 6.0
B. 3.0
C. 1.5
Answer: The distance from point R to point T is 1.5 miles.
Step-by-step explanation:
In the map, the scale is,
1 inches = 0.5 miles,
3 inches = 3 × 0.5 = 1.5 miles,
Thus, in the map 3 inches shows 1.5 miles,
Since, in the map, the distance from point R to point P = 3 inches,
Thus, the actual distance from point R to point P = 1.5 miles.
⇒ Option C is correct.