Distance between two points is 7
Explanation:
This is a question based on reflection of point w.r.t line. During reflection we can see the mirror image with t-shirt print inverted.But the distance from mirror remains same.
Assume a point (x,y), and it reflect in x-axis, then x-axis serves as the mirror, and the new point is (x,-y), because the distance from the mirror remains same. If the reflection of the point is (x,y) in y-axis, then y-axis serves as the mirror, and the new point is (-x,y). And if you reflect (x,y) in y=x line, then new point will be (y,x).
So considering the above question, if new point is (5, -3.5), then the original point must be (5, 3.5)
Distance between two points [tex]P(X_1, Y_1)[/tex] and [tex]Q(X_2, Y_2)[/tex]is given by:
d(P, Q) = [tex]\sqrt{ (X_2-X_1)^{2} + (Y_2-Y_1)^{2}}[/tex]
[tex]Y_2-Y_2 = (3.5) - (-3.5) = 3.5+3.5 = 7\\ \\X_2-X_1 = 5 - 5 = 0[/tex]
[tex]So \sqrt {(Y_2-Y_1)^{2} + (X_2-X_1)^{2}} = \sqrt { 7^{2} + 0^{2}} = \sqrt { 14+0} = \sqrt {14} = 7[/tex]
So distance = 7
7. Destiny made 47 out of 70 free throws in her basketball season. What percent of free
throws did she make a Round io the nearest tenth of a percent.
Help please!!!
Answer:
72.3%
Step-by-step explanation:
Arleta is 2 years younger than Josh, and Josh is 5 years older than Monica, who is 9 years old. Which expression
could you use to find Arleta's age?
A (9+5+2) B (2+9-5) C (9-5+2)
D (9+5-2)? Please
Answer:
D (9+5-2)
Step-by-step explanation:
Monica is 9 years old, Josh is 5 years older -> 9 +5 is Josh's age
We also know that Arleta is 2 years younger than Josh -> 9+5 -2
Therefore Arleta (9+5-2) years old
find the pair of fractions as a pair of fractions with a common denominator 1/4 and 2/3
Answer:
[tex]\frac{3}{12} ,\frac{8}{12}[/tex]
Step-by-step explanation:
Given fraction: 1/4 and 2/3
To find common denominator, we will use Least common divisor (LCD) of 4 and 3.
[tex]4= 2\times 2\\3= 3\times 1[/tex]
∴ Least common divisor (LCD) = [tex]4\times 3= 12[/tex]
Now, to make denominator common for both the fractions, we need to multiply denominator with a number equal to 12.
∴ [tex]\frac{1}{4} =\frac{?}{12}[/tex]
Multiply numerator and denominator by 3
[tex]\frac{1\times 3}{4\times 3} = \frac{3}{12}[/tex]
Next solving for another fraction:
[tex]\frac{2}{3} =\frac{?}{12}[/tex]
Multiply numerator and denominator by 4
[tex]\frac{2\times 4}{3\times 4} = \frac{8}{12}[/tex]
∴ We have [tex]\frac{3}{12}\ and \ \frac{8}{12}[/tex] with common denominator.
Solve for y 9x - y = -6x + 4y
Answer:
y = 3x
Step-by-step explanation:
Given
9x - y = - 6x + 4y ( subtract 4y from both sides )
9x - 5y = - 6x ( subtract 9x from both sides )
- 5y = - 15x ( divide both sides by - 5 )
y = 3x
need help pls i dont understand
Answer:
yes it is proportional but i can't see what the rest of the answers say
Step-by-step explanation:
PLEASE HURRY!! CORRECT GETS BRAINLIEST!!!
Answer:
arc VU = 44º
Explanation:
The angle STV is an inscribed angle, i.e. an angle with its vertex (point T) on a circle and formed by two intersectic chords.
As per the inscribed angle therorem, this angle is half the central angle.
Thus, the central angle is 82º × 2 = 164º.
That central angle is the measure of the arc SVU.
By the construction, the measure of the arc SV plus the measure of the arc VU is equal to the measure of the arc SU.
Thus, you have:
arc SVU = arc SV + arc VU 164º = 120º + arc VU arc VU = 164º - 120º = 44ºWhat is the scale of a map if b 3 cm on a map represent 4 km
PLEASE HELP
4 km = 4000 m = 400000 cm
Scale: 3:400000
answer: 3:400000
Final answer:
Scale on a map is the ratio between map distance and actual distance on Earth's surface. For the given question, the scale is found to be approximately 1 cm representing 1.33 km.
Explanation:
Scale on a map is the ratio between the distance on the map and the actual distance on Earth's surface. In this question, a scale of 3 cm representing 4 km means the ratio is 3 cm to 4 km. To find the scale, divide the map distance by the actual distance: 3 cm / 4 km = 0.75 cm/km. Therefore, the scale of the map is 1 cm representing approximately 1.33 km.
Choose the point-slope form of the line passing through (3.5) with a slope of -3.
O y– 3 = -3 (x – 5)
o =3(y – 5) = 2-3
O y - 5 = -3 (2-3)
o 30 – 5y = -3
Answer:
y-5=-3(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-3(x-3)
Identify the given item as probability distribution, continuous random variable, or discrete random variable. The number of oranges purchased in a grocery store.
Answer:
Discrete random variable
Step-by-step explanation:
We are given the following in the question:
x is the number of number of oranges purchased in a grocery store.
Thus, it have the following properties.
The number of oranges can always be counted and not measured.They will always have a finite value.They will have discrete values.They cannot take any value within an interval.Thus, it is a discrete random variable
What decimal is bigger 0.33 or 0.34
To determine which decimal is bigger between 0.33 and 0.34, we compare the digits after the decimal point. Since the hundredths place in 0.34 is 4 and in 0.33 is 3, 0.34 is the larger decimal.
Explanation:The question is asking to compare two decimals to determine which is larger. To compare 0.33 and 0.34, you look at the digits from left to right. Both numbers have a 0 before the decimal point, so you compare the digits after the decimal point. First, you compare the tenths place, the digit immediately after the decimal point. In both numbers, this digit is 3, so they are equal up to this point. Next, you look at the hundredths place, the next digit to the right. In 0.33, the digit is 3, while in 0.34, the digit is 4. Because 4 is greater than 3, 0.34 is the larger decimal.
Final answer:
0.34 is larger than 0.33 because the digit in the hundredths place is greater for 0.34.
Explanation:
When comparing two decimals, 0.33 and 0.34, we can determine which is larger by examining the digits from left to right. Here, both numbers have 0 before the decimal point and a '3' in the tenths place, but they differ in the hundredths place. Since 4 is greater than 3, the decimal 0.34 is larger than 0.33. To compare 0.33 and 0.34, we can look at the digits to the right of the decimal point. In this case, 0.34 has a larger digit than 0.33, so it is bigger.
A plane is thrown. After 2 seconds is has gone 15 feet. After 7 seconds it has gone 55 feet. Find average rate of change of the plane.
Answer:
average rate of change of the plane = average speed = [tex]\frac{40}{5} =8\frac{feet}{s}[/tex]
Step-by-step explanation:
we know that
average rate of change of the plane = average speed of the plane
average speed = (change in distance)/(change in time)
since th goes from 15 feet to 55 feet from 2 seconds to 7 seconds
change in time = final time - initial time = 7-2 = 5 seconds.
change in distance = final distance - initial distance
= 55-15 = 40 feet.
therefore average speed = [tex]\frac{40}{5} =8\frac{feet}{s}[/tex]
© MP.7 Use Structure A carton of
staples has 50 packages. The carton
contains 25,000 staples in all. Each
package has an equal number of staples.
How many staples are in each package?
Explain how to use a basic fact to find the
answer.
Answer:
There are 500 staples in each package.
Step-by-step explanation:
This is a simple problem which requires us to tell number of staples each package have. The total number of staples in the catoon and the total number of staples that each package have is given in the question. So we can easily calculate total number of staples that each package have by dividing total number of staples in the cartoon by number of staples each packet have i.e.
25,000/50 = 500
point e is located at -12 on the numbers line. Point f is located at 9 on the numbers line.
what is the distance between point E and point F on the number line?
Hanley made 14 out of 35 shots in his last basketball game. What percent did he shoot ?
Answer: 40%
Step-by-step explanation: To find out what percent of shots Hanley made in the last basketball game, we need to write 14/35 as a percent.
To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. So to write 14/35 as a percent, we need to find a fraction equivalent to 14/35 with a 100 in the denominator. We can do this by setting up a proportion.
So we have [tex]\frac{14}{35} = \frac{n}{100}[/tex]
Now, we can use cross products to find the missing value.
1,400 = 35n
÷35 ÷35 ← divide by 35 on both sides of the equation
40 = n
This means that Hanley made 40% of his shots last basketball game.
To find the percentage of how many shots Hanley made, we can divide how many shots he made to how many shots he took.
14 ÷ 35 = 0.4
Multiply by 100 to find the percentage.
0.4 * 100% = 40%
Thus, Hanley made 40% of his shots.
Best of Luck!
If 5 tractors can plow a field in 4 hours, how many hours will it take 3 tractors to plow the field?
It will take 3 tractors approximately 2.4 hours to plow the field.
Explanation:To find out how many hours it will take 3 tractors to plow the field, we can use the concept of work rates.
Given that 5 tractors can plow the field in 4 hours, we can set up a proportion:
5 tractors / 4 hours = 3 tractors / x hours
Cross-multiplying, we have:
5(x) = 3(4)
Simplifying, we get:
5x = 12
Dividing both sides by 5, we find that x = 2.4 hours.
Therefore, it will take 3 tractors approximately 2.4 hours to plow the field.
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It would take one tractor 20 hours to plow the field, so with the combined rate of three tractors, it will take them approximately 6.67 hours to plow the field together.
Explanation:The subject of this question is work-rate problems in Mathematics. To solve this problem, we must first determine the rate at which a single tractor can plow the field. If five tractors can plow a field in four hours, then one tractor would take five times as long, or 20 hours, to plow that same field alone.
Knowing this, we can now calculate how long it would take three tractors to plow the field together. Since one tractor takes 20 hours to plow the field, the rate of one tractor is 1 field per 20 hours. Therefore, three tractors would work at a rate of 3 fields per 20 hours, and so, it will take them 20/3, or approximately 6.67 hours to plow the field together.
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is y=2/7x proportional?
In the equation y=2/7x, y is directly proportional to x.
To determine if the equation y = (2/7)x represents a proportional relationship, you can check if it fits the criteria for proportionality. In a proportional relationship, the ratio between y and x should remain constant. This means that if you double x, y should also double, and so on.
In the equation y = (2/7)x, the coefficient 2/7 is a constant, and it is the same for all values of x.
Therefore, this equation represents a proportional relationship.
In this case, if you double the value of x, the value of y will also double, and if you triple x, y will also become three times its original value, and so on. This is a key characteristic of a proportional relationship.
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Alex runs on the track at school each Weekday morning . If he runs 5.9 miles each day, about how much does he run every month?
Answer:
118 miles
Step-by-step explanation:
Assuming that a month has 4 weeks
Each week has 5 weekdays.
The number of weekdays in a month is the number of weeks times 5.
4 X 5 = 20
Multiply the number of weekdays in a month by 5.9 miles.
20 X 5.9 miles = 118 miles
Therefore he runs 118 miles every months.
find the diamter of a circle if its area is 706.9mm²
Answer:
30 mmStep-by-step explanation:
The formula of an area of a circle:
[tex]A=\pi r^2[/tex]
r - radius
We have
[tex]A=706.9\ mm^2[/tex]
Substitute:
[tex]\pi r^2=706.9[/tex] divide both sides by π
[tex]r^2=\dfrac{706.9}{\pi}[/tex] use π ≈ 3.14
[tex]r^2\approx\dfrac{706.9}{3.14}\\\\r^2\approx225\to r=\sqrt{225}\\\\r= 15\ mm[/tex]
The diameter d = 2r.
Therefore
[tex]d=2(15)=30\ mm[/tex]
Answer:
30mm
Step-by-step explanation:
A=[tex]\pi[/tex][tex]r^{2}[/tex]
Substitute 706.9 for A and [tex]\pi[/tex] for 3.14
706.9= 3.14[tex]r^{2}[/tex] divided both sides by 706.9
when you divided 3.14 by 3.14 it will cross and when you divide 706.9 by 3.14 it will give you 225.
[tex]\sqrt{225}[/tex]
15 times 15 is 225
radius= 15
d=2r
multiply 15 by 2
the answer is 30.
The function f(x) = 37x + 20 models the total cost for Rachel to be a member at a gym for x months. What can be interpreted from the y-intercept of the function?
A Rachel must pay $37 per month to use the gym.
B. Rachel must pay $20 per month to use the gym
C. Rachel must pay a $37 membership fee to join the gym.
D. Rachel must pay a $20 membership fee to join the gym.
" Rachel must pay a $20 membership fee to join the gym " can be interpreted from the y-intercept of the function ⇒ D
Step-by-step explanation:
The form of the linear function is f(x) = mx + b, where
m is the slope (rate of change) of the functionb is the y-intercept (initial amount) of the function∵ f(x) = 37 x + 20 models the total cost for Rachel to be a member
at a gym for x months
∵ f(x) = m x + b
∴ m = 37 and b = 20
∵ m represents the rate of change
- That means she must to pay 37 per month for x months
∴ Rachel must pay $37 per month to use the gym
∵ b represents the initial amount
- That means she pays a fixed amount one time
∴ Rachel must pay a $20 membership fee to join the gym
" Rachel must pay a $20 membership fee to join the gym " can be interpreted from the y-intercept of the function
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The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the change in temperature per hour? HURRY I ONLY HAVE 20 MIN PLEASE PLEASEEEEEEE
Answer:
-3.5 degrees per hour
[tex] - 3.5t[/tex]
Step-by-step explanation:
The total change is temperature is -12.25 degrees.
The total time is 3.5 hours.
This means that temperature changes by -3.5 degrees per hour (-12.25 degrees ÷ 3.5 hours).
As an expression of hours, simple multiply the coefficient by a variable. I'm assuming the letter t for time (where t is the number of hours):
[tex] - 3.5t[/tex]
find the equivalent expression using the same bases (97*59)^9
Answer:
Exact form : 5723^9
Decimal form : 6.58587848 • 10^33
Step-by-step explanation: Evaluate.
Hope this helps you out! ☺
A parabola has its vertex at (2, 1) and crosses the x-axis at (1,0) anu al l
the equations below has this parabola for its graph? (TEKS A2.4B-R)
ui...
Ay=1-(x - 2)^2
C y = -1 - (x + 2)^2
Dy= -1 - (x - 2)^2
B
y = 1 + (x + 2)^2
Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, 1), thus
y = a(x - 2)² + 1
To find a substitute (1, 0) into the equation
0 = a(1 - 2)² + 1
0 = a + 1 ( subtract 1 from both sides )
a = - 1
Hence
y = - (x - 2)² + 1 or
y = 1 - (x - 2)² → A
The equation of the parabola with its vertex at (2, 1) and that crosses the x-axis at (1, 0) is y=1-(x - 2)^2.
Explanation:The vertex form of a parabola's equation is y=a(x-h)^2+k where (h, k) is the vertex. Here, the vertex is given as (2, 1). Also, it crosses the x-axis at (1,0), which makes it a downward-facing parabola(as y=0 when x=1), and hence, 'a' is negative. Now, we can compare the given options with these details.
Option A: y=1-(x - 2)^2 perfectly matches our requirements, because it's in the correct vertex form, and 'a' is negative (-1) which corresponds to a downward parabola.
So, the equation of the parabola with its vertex at (2,1) and that crosses the x-axis at (1,0) is y=1-(x - 2)^2.
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4/18 exact decimal no rounding
0.222222222 is the exact decimal.
There are 14 boys and 12 girls in Mateo's homework class. Which ratio correctly describes the students in the class?
A) The ratio of boys to girls is 7:6
B) The ratio of girls to boys is 6:8
C) The ratio of boys to all students is 14:28
D) The ratio of girls to all students is 6:7
Answer:A should be the best answer to this problem
Step-by-step explanation:
Answer:
The ratio of boys to girls is 7:6
Step-by-step explanation:
1/2 of 14 is 7. So the boys would be equal to 7. 1/2 of 12 is 6.
So the girls would be equal to 6. If you put that in a ratio it would be 7(boys):6(girls) = 7:6
Therefore your answer is A: The ratio of boys to girls is 7:6
Hope this helped! Please mark Brainliest! :)
How does the graph of g(x) = (x - 1) + 5 compare to the parent function f(x) = xº?
O g(x) is shifted 1 unit to the right and 5 units up.
g(x) is shifted 5 units to the right and 1 unit up.
g(x) is shifted 1 unit to the left and 5 units up.
g(x) is shifted 5 units to the right and 1 unit down.
Answer:
g(x) is shifted 1 unit to the right and 5 units up.
Step-by-step explanation:
f(x) =,
x --------> (original function)
(x - 1) = [x - (+1)]------> shifted 1 unit in the positive x direction, i.e 1 unit to right
(x - 1) + 5 ----------> shifted 5 units in the positive y direction, i.e 5 units up.
combining all the steps.
g(x) is shifted 1 unit to the right and 5 units up.
angle M and angle N are complementary angles which is the measure of angle N
Answer:
75 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. If we are given that one angle is 15 degrees, we can find the other one using a simple one-step equation.
let x represent the measure of angle N
90 = 15 + x
Subtract 15 from both sides to isolate the variable
75 = x
Angle N measures 75 degrees
Circles!! Need help
Answer:
[tex]x_{123} x^{2} \sqrt{x} \neq \sqrt{x} \sqrt{x} \geq \neq \pi \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] x^{2} \pi[/tex]
Step-by-step explanation:
because im smart
Answer:
see explanation
Step-by-step explanation:
The measure of arc AE is
AE = 360° - (100 + 40 + 60)° = 360° - 200° = 160°
∠ BCD = 0.5( m arc AE - m arc BD ), that is
x = 0.5(160 - 40) = 0.5 × 120 = 60
What is another way to write 101 - 13.7x = 73.6
Answer:
x=2
Step-by-step explanation:
101-13.7x=73.6
13.7x=101-73.6
13.7x=27.4
x=27.4/13.7
x=2
Answer:
Step-by-step explanation:
well....there's a few
101 - 13.7x = 73.6
can be written like :
101 - 73.6 = 13.7x
or
- 13.7x = - 101 + 73.6
or
27.4 = 13.7x
or
27.4 / 13.7 = x
Is that what you mean ?
i need answersssss y<-2x+4
How many 1/3 inch cubes does it take to fill a box with a width of 3 1/3 inches, a length of 2 2/3 inches, and a height of 1 1/3 inches?
Answer:
320 cubes
Step-by-step explanation:
3 1/3 inches = 10/3 inches
There are 10 lengths of 1/3 inch in 10/3 inches.
2 2/3 inches = 8/3 inches
There are 8 lengths of 1/3 inch in 8/3 inches.
1 1/3 inches = 4/3 inches
There are 4 lengths of 1/3 inch in 4/3 inches.
In the 3 1/3 inch by 2 2/3 inch by 1 1/3 inch box, you can place 10 by 8 by 4 cubes measuring 1/3 inch on the side.
10 * 8 * 4 = 320
Answer: 320 cubes
It will take 320 cubes of size 1/3 inch to fill the box a box with a width of 3 1/3 inches, a length of 2 2/3 inches, and a height of 1 1/3 inches
Volume of a cube of side a inch is [tex]\rm a^3\; inch^3[/tex]
Length of one side of the cube = 1/3 inch
[tex]\rm Volume\; of \; the \; cube = (1/3)^3 = 1/27 \; inch^3[/tex]
[tex]\rm Length\; of \; the \; box = 3 \dfrac{1}{3}\; inches = \dfrac{10}{3}\; inches[/tex]
[tex]\rm Width\; of \; the \; box = 2 \dfrac{2}{3}\; inches = \dfrac{8}{3} \; inches[/tex]
[tex]\rm Height\; of \; the \; box = 1 \dfrac{1}{3}\; inches = \dfrac{4}{3} \; inches[/tex]
[tex]\rm The\; volume \; of \; cuboid\; = \; Length\times Width \times Height\\\\So \; the \; volume \; of\; the\; box = (10/3)\times (8/3) \times (4/3)[/tex]
Let there be n be the number of cubes in the box so
Sum of volumes of n cubes = Volume of the box
[tex]\rm n \times (1/27 ) = (10/3)\times (8/3)\times (4/3)\\n \times (1/27) = 320 /27\\n = \bold{320}[/tex]
So, It will take 320 cubes of size 1/3 inch to fill the box a box with a width of 3 1/3 inches, a length of 2 2/3 inches, and a height of 1 1/3 inches.
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