The RS line segment will be 16 units long.
What exactly are collinear points?An axis is a line on which points are located, especially if that line is connected to a triangle or other geometric shape. Because a line is determined by two factors, two points are transparently collinear. If the points are in a straight line, they are collinear points.The collinear points are Q, R, S, and T.
The collinear's condition will then be determined:
QR + RS + ST = QTThe points Q, R, S, and T all lie on the same line segment in that order, so the QR:RS:ST ratio is 1:4:5. If QT = 40.
Let QR / 1 = RS / 4 = ST / 5 = xQR = xRS = 4xST = 5xThe value of the variable x will then be:
QR + RS + ST = QTx + 4x + 5x = 4010x = 40x = 4The length of the line segment RS will then become:
RS = 4xRS = 4 (4)RS = 16Therefore, the RS line segment will be 16 units long.
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The correct question is given below:
The points Q, R, S, and T all lie on the same line segment, in that order, such that the
ratio of QR:RS: ST is equal to 1:4:5. If QT = 40, find RS.
35. What is the equation of the line that is parallel to y = 4x + 3 and passes through the point (2, 6) ?
The equation of the line that is parallel to y = 4x ₊ 3 and passes through the point (2,6) is y = 4x ₋ 2.
The slope of the preceding equation is 4 because it is in slope intercept form. The slope of an equation is always equal for parallel lines, hence the slope of the equation we are requested to create is also 4. We are given that this line passes through (2,6).
In the absence of intersection, two lines are said to be parallel. Each line has the same slope. In the event where m₁=m₂, f(x)=m₁x+b₁ and g(x)=m₂x+b₂ are. parallel
In order to write in y = mx +b form, we need to solve for b (the y-intercept).
Given, x=2, y=6, and m = 4.
6 = (4) (2) ₊ b
simplify
6 = 8 ₊ b
solve for b.
b = 6 ₋ 8
b = ₋2
So the equation of the parallel line is y = 4x ₋ 2
Hence we get the equation of the line that is parallel to y = 4x ₊ 3 and passes through the point (2,6) is y = 4x ₋ 2
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The minimum temperature of mercury is approximately -275 F.The minimum temperature of Mars is approximately -195 F.Which is the following best compares the minimum temperature of two planets?
A. -195 > -275
B. -275 > -195
C. -195 > -275
D. -275 < -195
The expression that best compares the minimum temperature of the two planets is -195 > -275
Magnitude of temperaturesFrom the question, we are to determine which of the given options best compares the minimum temperature of the two planets
From the given information,
"The minimum temperature of mercury is approximately -275 F"
and
"The minimum temperature of Mars is approximately -195 F"
NOTE: The number -195 is greater than the number -275
Thus,
The minimum temperature of Mars is greater than the minimum temperature of Mercury
Hence, the expression that best compares the minimum temperature of the two planets is -195 > -275
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can someone tell me what the asnwer is thanks (geometry)
Greg took an Uber home from the airport.
The fare was $2.30 a mile and he gave a $7.50 tip to the driver.
His total with tip was $54.65
How many miles was the trip from the airport to Greg's house?
Answer if you know your right, bur dont answer just for the points
Answer: 6.7% 0.67 6
-
9
Step-by-step explanation:
Answer:
[tex]\sf 6.7\% < 6/9 < 0.67[/tex]
Explanation:
You would think 6.7% is a lot bigger than both, but it is not. Remember 6.7 is a percentage out of 100, thus, 6.7% actually is 0.067.
Leah wants to divide x by What number should she 12 multiply by x to find the answer??
Leah should multiply x with [tex]\frac{12}{5}[/tex].
If we are to divide x by [tex]\frac{5}{12}[/tex], we need to write it like this,
[tex]\frac{x}{\frac{5}{12} }[/tex]
⇒ x ÷ [tex]\frac{5}{12}[/tex]
⇒ x × [tex]\frac{12}{5}[/tex]
Thus, x should be multiplied [tex]\frac{12}{5}[/tex] to get the answer.
Answer) [tex]\frac{12}{5}[/tex]
In fractional division, we need to find the reciprocal of the divisor fraction and then multiply it with the dividend to find the solution.
In the given question, the divisor is ' [tex]\frac{5}{12}[/tex].' Thus, it should be reciprocated to find the fraction ' [tex]\frac{12}{5}[/tex].' This should be then multiplied by the variable x to find the answer to the fractional division.
Fractional multiplication also needs to carry out the arithmetic functions of multiplication and division to find out the answer.
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The complete question is given below:
Leah wants to divide x by [tex]\frac{5}{12}[/tex]. What number should she multiply by x to find the answer??
Part A: Wilson bought fruit that weighs 2 and 1 over 2 pounds. How many ounces does the fruit weigh? Show your work. (5 points) [16 ounces = 1 pound] Part B: A running tap dispenses 0.14 gallons of water every second. How many pints of water is dispensed after 50 seconds? Show your work. (5 points) [1 gallon = 4 quarts, 1 quart = 2 pints]
The weight of the fruits in ounces is 40 ounces
The pints of water dispensed after 50 seconds is 56 pints
What are the converted units?The mathematical operations that would be used to determine the answer is multiplication. Multiplication is the process of determining the product of two or more numbers. Multiplication is represented with the sign - x.
A mixed fraction is a non-integer that is made up of a whole number and a proper fraction. An example of a mixed fraction is 2 1/2.
Weight of the fruits in ounces = 2 1/2 x 16
5/2 x 16 = 40 ounces
Pints of water dispensed after 50 seconds = gallon per second x 50 x 4 x 2
0.14 x 50 x 4 x 2 = 56 pints
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Given f(x)=x²-9, find the indicated values.
f(-1)
Answer: -8
Step-by-step explanation:
First, you plug -1 in for x
[tex]f(x)=f(-1)=(-1)^2 -9[/tex]
[tex]=1-9=-8[/tex]
find the equation of the line with slope −6 which goes through the point (−9,−6).
Give your answer in slope-intercept form y=mx+b.
The equation of the line with slope −6 which goes through the point (−9,−6) = y = -6x + 9.
How do you calculate slope intercept?When you know the slope of something like the line to be investigated and the point given also contains the y-intercept, you can utilize the slope-intercept formula y = MX + b. (0, b). The y value of the y-intercept point is represented by b in the formula.
What is the definition of a slope?A line's slope is the ratio of how much y grows as x increases by a certain amount. The slope of a line indicates how steep it is, or how much y grows as x increases.
According to the given information:The slope of the line = -6 = m
The points (−9,−6). x = -9 , y = -6
Find the y-intercept.
y=mx+b
Substituting the value we get:
-6 = (-6 x -9) + b
-6 = -54 x b
b = 54/6
b = 9.
The equation in slope intercept form as:
y=mx+b
y = (-6)x + 9
y = -6x + 9
The equation of the line with slope −6 which goes through the point (−9,−6) = y = -6x + 9.
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Use the given information
7) Given ABC=94°, Find CBD, ABD=(3x+15)°, DBC= (x+7)°
The angles ∠ABD and ∠CBD are equal to 144° and 50° respectively.
The angle ∠ABC is equal to 94°.The angle ∠ABD is equal to (3x + 15)°.The angle ∠DBC is equal to (x + 7)°.An angle is defined as the figure formed when two rays intersect at a single point known as the vertex. The angle is represented by the symbol "∠".The sum of the angle ∠ABC and the angle ∠CBD is equal to the angle ∠ABD.94° + (x + 7)° = (3x + 15)°101° + x = 3x + 15°86° = 2x43° = xx = 43°The angle ∠ABD is equal to 3(43°) + 15° = 129° + 15° = 144°The angle ∠CBD is equal to 43° + 7° = 50°.To learn more about angles, visit :
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Which of the following values is greater than −2.5? −6.5 −3.4 −2.75 −2.25
Worth 100 points
The value which is greater than -2.5 as requested in the task content is; -2.25.
Which of the numbers given is greater than -2.5?It follows from the task content that the value which is greater than -2.5 is to be determined.
On this note, since greater numbers appear to the right on the number line, one can be sure that the number which is greater than -2.5 among the answer choices is; -2.25 as it appears to the right of -2.5.
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2. Solve the equation for x .
zx - 13 = k
Step-by-step explanation:
Solving steps
ZX-13 k
Move the constant to the right
zX = 13+k
Divide both sides
Solution
x=13+k/z , z≠0
Answer:
x=(k+13)/zStep-by-step explanation:
Solve the equation for x .
zx-13=k
zx−k−13=0
(z)⋅x+(−k−13)=0
x=−(−k−13)/z
x=(k+13)/z
----------------------------
check
z(k+13)/z-13=k
(k+13)−13−{k}=0
k−{k}=0
0=0
the answer is good
Aida starts the week with $18.00. The table below shows the change in the amount of money she has each day.
Day Change in Amount ($)
Monday -5.15
Tuesday +12.40
Wednesday -11.20
Thursday +2.50
Friday x
Aida declares that she ended the week with the same amount of money with which she started the week. Determine the value of x for which Aida's statement is true.
Answer:
+ 1.45
Step-by-step explanation:
the end result is 16.55, therefore you add 1.45 to get $18 again.
find the value of the variable and the measure of each labeled angle
value=
measure=
Is this a linear or nonlinear?
Answer:
non
Step-by-step explanation:
bc its not a straight line
Answer: Non-linear
Step-by-step explanation:
It’s not a straight line and there is no pattern.
A certain substance in an experiment was being stored at −2.4°F. It was then placed on a table where the temperature was raised by 5.3°F.
What was the new temperature of the substance?
A. 7.2.9°F
B. 2.9°F
C. −2.9°F
D. −7.7°F
Solve the inequality.
2(4x-3) ≥-3(3x) +5x?
Answer:
Step-by-step explanation:
2(4x-3)≥-3(3x)+5x
8x-6≥-9x+5x
8x≥-4x+6
8x+4x≥6
12x≥6
x≥6/12
or
x≥1/2
what are the possible values of x such that 10[x] =2.5
There is no solution for the given equation i.e.10[x] =2.5
Equation:
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Greatest integer function:
The largest integer function is one that yields an integer that is closest to the specified real value. Additionally known as the step function. The closest integer is used to round off the input using the biggest integer function. Thus, the equation to determine the largest integer is fairly straightforward. It is symbolised by [x] where x can take on any value.
⇒10[x] =2.5
⇒[x] =[tex]\frac{2.5}{10}[/tex]
⇒[x] =0.25
⇒[x] will be always a interger.As a result there is no solution for the given equation.
Therefore,There is no solution for the given equation i.e.10[x] =2.5
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Employees of the store in the Example wear shirts with the logo on the back. The
scale from the original logo in inches to the shirt in inches is 1 : 8. What is the area
of the logo on their shirts? Show your work.
The original logo is a triangle and measures
1.5in x 1.5in
Magnification is
Original shirt = 1:8
Shirt logo area
A = 1/2bh
A = 1 / 2 * (1.5 * 8) (1.5 * 8) = 72 square inches
The area is a quantity that describes the extent of an area on a plane or curved surface. Planar region or planar region area refers to the area of a shape or planar layer, and surface area refers to the open surface or boundary area of a three-dimensional object.
The area is defined as the total space occupied by a planar (2-D) surface or shape of an object. Take a pencil and draw a square on a piece of paper. A two-dimensional character. The space a shape occupies on paper is called its area. Now imagine that the square is made up of smaller unit squares.
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I will give brainlist
Choose an equivalent expression for two thirds to the fourth power times two thirds raised to the third power comma all raised to the second power.
four ninths raised to the fourteenth power
four ninths raised to the twenty fourth power
two thirds raised to the fourteenth power
two thirds raised to the twenty fourth power
Using exponent properties, the equivalent expression is given as follows:
[tex]\left(\frac{2}{3}\right)^14[/tex]
What is the equivalent expression?Two thirds to the fourth power is given by:
[tex]\left(\frac{2}{3}\right)^4[/tex]
Two thirds to the third power is given by:
[tex]\left(\frac{2}{3}\right)^3[/tex]
When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, hence:
[tex]\left(\frac{2}{3}\right)^4 \times \left(\frac{2}{3}\right)^3 \left(\frac{2}{3}\right)^{4 + 3} = \left(\frac{2}{3}\right)^7[/tex]
Then, this entire expression is raised to the second power, meaning that:
[tex]\left[\left(\frac{2}{3}\right)^7\right]^2 = \left(\frac{2}{3}\right)^7 \times \left(\frac{2}{3}\right)^7 = \left(\frac{2}{3}\right)^{7+7} = \left(\frac{2}{3}\right)^14[/tex]
[tex]\left(\frac{2}{3}\right)^14[/tex] is the equivalent expression.
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What is (-2/3) + (-7/8)?
Answer:
[tex]=-\frac{37}{24}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3}+\left(-\frac{7}{8}\right)[/tex]
[tex]=-\frac{2}{3}-\frac{7}{8}[/tex] <- Apply the rule a + (-b) = a - b
[tex]=-\frac{16}{24}-\frac{21}{24}[/tex] <- The LCM of 3 and 8 is 24.
[tex]=\frac{-16-21}{24}[/tex] <- Apply the fraction rule [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{-37}{24}[/tex] <- Subtract
[tex]=-\frac{37}{24}[/tex] <- Apply the fraction rule [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
_____________________________________________________
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Hope you have a WONDERFUL day!
Answer:
-1.542
Step-by-step explanation:
(-2/3) + (-7/8)=-37/24=-1 13/24= -1.542
Sep 20, 8:10:23 AM
The sum of three consecutive integers is 51. Find the value of the greatest of the
three.
The first integer is 16 and the next two integers are 17 and 18. The largest one is 18
What in math is an integer?
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.Three categories of integers exist: Zero (0) Good integers (Natural numbers) Integer Negatives (Additive inverse of Natural Numbers)The first integer will be called x. Consequently, the second integer is x+1 and the third is x+2 (this is because they are consecutive integers). The total of these three numbers is 51, so build up the following equation and answer it.
x+(x+1)+(x+2)=51
3x+3=51
3x=48
x=16
Therefore, the first integer is 16 and the next two integers are 17 and 18. The largest one is 18 and this is the answer.
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5, 32, 229, 1016, 3133, 7780, 16,757 whats the next term
Answer: 32604
Step-by-step explanation:
help with this ...............................
Answer: The first one. 2.289<2.297
Step-by-step explanation:
A dolphin dives from the surface into the ocean at a rate of 6.2 feet per second estimate the approximate location of the dolphin after 25 seconds
The approximate location of the dolphin is 155 feet as it moves at the rate of 6.2 feet per second.
Rate in defined as the speed or the distance travelled by the dolphin in unit time.
rate or speed is calculated by dividing the distance travelled by the total time taken to cover that distance.The units of rate is given by unit of distance/unit of time .The units of rate are meter/second , miles/hour , feet/second etc..Velocity is defined as the rate in a specified direction. Velocity is a vector quantity while speed or rate is a scalar quantity.Given the rate of the dolphin is feet per second .
Time taken by the dolphin is 25 seconds.
∴ distance travelled is given by rate × time
Hence distance travelled is 6.2 × 25 = 155 feet
Therefore the approximate location is given by 155 feet from the starting point.
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Please help me I will give brainliest
Answer:
5
Step-by-step explanation:
The points are (4, -3) and (7, -7).
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(7 - 4)^2 + (-7 - (-3))^2} [/tex]
[tex] d = \sqrt{3^2 + (-4)^2} [/tex]
[tex] d = \sqrt{9 + 16} [/tex]
[tex] d = \sqrt{25} [/tex]
[tex] d = 5 [/tex]
Answer: 5
Triangle ABC has its vertices at the following coordinates:
A(-4, 1) B(0, 2) C(-11, 3)
Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise
rotation about the origin.
Answer:
(1,-4) (2,0) (3,-11)
Step-by-step explanation:
if you graph these you will see its the same images just turned up i would also know because im from k12 but anyways yea same image just turned counterclockwise ,next time search up "graph 90 counterclockwise" and itll show you step by step not of this exact problem but a similar type, it helps alot
5 to the power of -2 multiplied by 2
Answer:
im pretty sure its -20
Step-by-step explanation:
There are 43 jazz songs, 56 rock songs, and 16 country songs on your music player. If you set your music player on random, what is the probability that the next song will be a country song? Give your answer as a decimal rounded to the nearest thousandth
Answer:
0.139
Step-by-step explanation:
total = 43 + 56 + 16 = 115
country songs = 16
p(country song) = 16/115 = 0.139
what is 4 multiplied by pi multiplied by 4.6 to the power of 3
Answer:
193,153.72460551
Step-by-step explanation:
Multiply 4 times pi or 3.14 if you are rounding. Then multiply that number by 4.6
Lastly once you done all of put it to the po wer of 3