WILL GIVE BRAINLIEST! A line contains the points R (-5, -3) S (-1, -1) and T (x, 3). Solve for x. Be sure to show and explain all work
Answers
The x-coordinate of point T is 7. Thus, point T is (7, 3).
To solve for x, we will use the concept of slope. The slope between any two points on a line remains constant. Let's find the slope between points R(-5, -3) and S(-1, -1):
Slope (m) = (y2 - y1) / (x2 - x1)
m = (-1 - (-3)) / (-1 - (-5))
m = (2) / (4)
m = 1/2
Now, we will use the slope between points S(-1, -1) and T(x, 3):
m = (3 - (-1)) / (x - (-1))
1/2 = (4) / (x + 1)
Now, we will solve for x:
1/2 (x + 1) = 4
x + 1 = 8
x = 7
So, the x-coordinate of point T is 7. Thus, point T is (7, 3).
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Related Questions
Translate the sentence into an Inequality.
The sum of 6 and x is less than or equal to - 20.
Answers
The sum of 6 and x is less than or equal to - 20.
Answer: (6+x) ≤ -20
Shaan’s math homework scores for the semester are 90, 85, 98, 60, 84, and 78. Shaan’s teacher said she would drop the lowest homework score when calculating grades. How does the mean of Shaan’s actual math scores compare to the mean of the scores when the lowest one is dropped?
a. The relationship cannot be determined.
b. The final mean is the same as the original.
c. The final mean is lower than the original.
d. The final mean is higher than the original.
Answers
Answer:
The final mean is higher
Step-by-step explanation:
The mean of all the scores = \(\frac{90 + 85 + 98 + 60 + 84 + 78}{6\\} = \frac{495}{6} = 82.5\\\)
The mean of the scores with the 60 dropped = \(\frac{435}{5} = 87\)
The final mean is higher
That will always happen when you drop the lowest score. I worked it out for you so that you would see that it happened in your case.
Answer:
lol i have this question too
Step-by-step explanation:
btw is yall really in highschool, cuz this is a middle school question......
if y=45 and x=75
what is 5x+4y=
Answers
375+180=555
Step-by-step explanation:
5x+4y
5×45+4×75
225+300
525
I need help with this practice I attempted this and got 13.96? Make sure your answer is rounded to the nearest hundredth
Answers
Law of Cosines
Given two side lengths a and b of a triangle and the angle included by them θ, the length of the third side can be calculated as:
\(c^2=a^2+b^2-2ab\cos \theta\)We have a = 14, b = 9, θ = 71°. Substituting:
\(\begin{gathered} c^2=14^2+9^2-2\cdot14\cdot9\cos 71^o \\ c^2=196+81-252\cdot0.325568 \\ c^2=194.956825 \\ c=\sqrt[]{194.956825} \\ c=13.96 \end{gathered}\)The length of CD is 13.96
here is a scatter plot for a set of bivariate data. what would you estimate the correlation coefficient to be?
Answers
You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.
What is meant by scatter plot?The relationship between the two variables in a bivariate data set is graphically represented by a scatter plot. Consider them to be the graphic depiction of two data sets that have been combined by allocating each axis in the plot to a distinct variable.
Due to the presence of two variables, this type of data is known as bivariate data. Only 1 variable may be displayed on a line plot. You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.
The standard deviation of each variable and the covariance between them must first be determined in order to calculate the Pearson correlation. Covariance is subtracted from the product of the standard deviations of the two variables to get the correlation coefficient.
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What is the factor of x³ 3x² 9x 5?
Answers
(x+1) & (x-5) are the factors of given equation.
The given Equation is,
x3- \(3x^{3}\) - 9
Substitute - Substitute means to put something in the place of another and in mathematics substitution means putting numbers in the place of letters. It is used to calculate the value of an expression.Here, If we substitute x =5, in the given equation, then we find
(5)3 - 3(5)3 - 9*5 -5 = 0
x-5 is factor of given equation to find another factor dividing given equation by x-5
we will get =(x2+2x+1) after dividing the equation by x - 5
Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)
=(x+2)2 (x-5)
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Are the lines given parallel, perpendicular, or neither? y=3x-7 and y=3x+1. Please help!
Answers
Answer:
These lines are parallel to each other
Step-by-step explanation:
It has the same slope of 3 and the only thing that is different is the y-intercept
The average of a sample of high daily temperature in a desert is 114 degrees F, a sample standard deviation or 5 degrees F, and 26 days were sampled. What is the 90% confidence interval for the average temperature? Please state your answer in a complete sentence, using language relevant to this question.
Answers
In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.
To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.
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when should you use dot plots and why?
Answers
The midpoint of GĦ is M(-3, 4). One endpoint is G(-2, 2). Find the
coordinates of endpoint H.
Answers
Answer:
Step-by-step explanation:
(x-2)/2 = -3
x - 2 = -6
x = -4
(y + 2)/2 =4
y + 2 =8
y = 6
(-4, 6)
In a sample of 20 items, you found six defective. In constructing a confidence interval for the proportion of defectives, you should use: the plus four method. the large-sample interval. neither of these two methods.
Answers
To construct a confidence interval for the proportion of defectives, we should use the plus four method.
Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes.
The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.
The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.
To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.
This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.
The equation for the certainty interim utilizing the also four strategies is:
p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)
where:
p is the test extent (number of defectives/test estimate)
zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2
n is the test estimate (counting the included four nonexistent perceptions)
Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.
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determine the average rate of change, in mph, from 2 to 4 hours on the graph shown below
Answers
Answer:
maybe, probably 20mph
Step-by-step explanation:
The average rate of change is equal to 10 miles per hour.
What is the average rate of change?It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
Given that the function is changing from point (30,2) to (20,1). The average rate of the change will be calculated as,
The average rate of change = ( 30 - 20) / ( 2 - 1)
Average rate of change = 10 miles per hour
Therefore, the average rate of change is equal to 10 miles per hour.
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Suppose that the temperature u(x,t) of a rod of length ℓ satisfies the heat equation with Neumann boundary conditions: u
t
=ku
xx
(00),u
x
(0,t)=0,u
x
(ℓ,t)=0 Recall that the Neumann conditions correspond to the rod being perfectly insulated at the endpoints. Let A(t)=
ℓ
1
∫
0
ℓ
u(x,t)dx, which is the average temperature of the rod at time t. (a) Show that A
′
(t)=0, so that the average temperature across the rod is independent of time. (Hint: use the fact that
dt
d
∫
0
ℓ
u(x,t)dx=∫
0
ℓ
∂t
∂
u(x,t)dx and then use the heat equation.) (b) Consider the problem u
t
=2u
xx
(00),u
x
(0,t)=0,u
x
(1,t)=0 with initial condition u(x,0)=120x(1−x). Since the rod is insulated, we expect the heat to spread and to approach a uniform temperature across the rod after a long time. Use the fact that A(t) is constant to determine what the numerical value of this temperature will be after a long time. (c) Consider now the wave equation u
tt
=c
2
u
xx
for 0
ℓ
1
∫
0
ℓ
u(x,t)dx, which is the average height of the vibrating string at time t. Find boundary conditions at x=0 and x=ℓ for which it will be true that A
′′
(t)=0, and show that this is the case. (Note that A(t) need not be constant here. )
Answers
a. The average temperature across the rod is independent of time.
b. The average temperature across the rod will approach 30ℓ - 20ℓ^(2).
c. The average height of the vibrating string remains constant over time.
(a) To show that A'(t) = 0, we differentiate A(t) with respect to t:
A'(t) = d/dt [ ∫₀ˡᵤ u(x,t) dx ]
Using the Leibniz rule for differentiating under the integral sign, we have:
A'(t) = ∫₀ˡᵤ ∂u/∂t dx
Now, let's use the heat equation: uₜ = k uₓₓ
A'(t) = ∫₀ˡᵤ k uₓₓ dx
By applying the boundary conditions, we know that uₓ(0,t) = 0 and uₓ(ℓ,t) = 0. This implies that the derivative of u with respect to x is zero at both endpoints.
Therefore, A'(t) = ∫₀ˡᵤ k uₓₓ dx = k [uₓ]₀ˡᵤ = k [0 - 0] = 0
Hence, the average temperature across the rod is independent of time.
(b) In this case, we are given u_t = 2u_xx with Neumann boundary conditions: u_x(0, t) = u_x(1, t) = 0, and the initial condition u(x, 0) = 120x(1 - x).
Since A'(t) = 0 as shown in part (a), we know that the average temperature A(t) is constant over time.
Therefore, to find the constant value of A(t) at long times, we can evaluate A(t) at t = 0:
A(0) = (1/ℓ) ∫₀ˡᵉ u(x, 0) dx
Substitute the initial condition:
A(0) = (1/ℓ) ∫₀ˡᵉ 120x(1 - x) dx
Evaluate the integral:
A(0) = (1/ℓ) [120 * (x^(2)/2 - x^(3)/3)] | from 0 to ℓ
A(0) = (1/ℓ) [120 * (ℓ^(2)/2 - ℓ^(3/3))]
A(0) = 60[ℓ/2 - ℓ^(2/3)]
A(0) = 30ℓ - 20ℓ^(2)
So, after a long time, the average temperature across the rod will approach 30ℓ - 20ℓ^(2).
(c) In this case, we are dealing with the wave equation u_tt = c^(2)* u_xx for 0 < x < ℓ, and we define A(t) as the average height of the vibrating string at time t:
A(t) = (1/ℓ) ∫₀ˡᵉ u(x, t) dx
To find the boundary conditions at x = 0 and x = ℓ for which A''(t) = 0, we need to differentiate A'(t) with respect to t:
A''(t) = d^(2)/dt^(2)[∫₀ˡᵉ u(x, t) dx]
Using the property of Leibniz integration rule, we can interchange the order of differentiation and integration:
A''(t) = ∫₀ˡᵉ (∂^(2)/∂t^(2)) dx
Now, we apply the wave equation u_tt = c^(2)* u_xx to the integrand:
A''(t) = ∫₀ˡᵉ (c^(2)* u_xx) dx
Now, we use the boundary conditions: u_x(0, t) = u_x(ℓ, t) = 0
Since the derivative of a constant is zero, we can rewrite the integral as:
A''(t) = c^(2)* ∫₀ˡᵉ u_xx dx
Now, using integration by parts on the right-hand side:
A''(t) = c^(2)* [u_x(ℓ, t) - u_x(0, t)]
Since both u_x(0, t) and u_x(ℓ, t) are zero due to the Neumann boundary conditions, we have:
A''(t) = 0
Therefore, A(t) need not be constant, but A''(t) is zero, indicating that the average height of the vibrating string remains constant over time.
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liza measures the circumferences of circles with different diameters and records them in a table. rounded to the nearest hundredth, what is the ratio of the circumference to the diameter of a circle?
Answers
The correct answer is A) 3.14 is the approximate ratio of the circumference to the diameter of a circle, rounded to the nearest hundredth.
This is due to the fact that the circle's circumference to diameter ratio, often known as pi, is roughly equal to 3.14.
A circle's circumference divided by its diameter is known as pi, and it is a mathematical constant.
Thus, the ratio of circumference to diameter will always be equal to pi, regardless of the size of the circle.
Hence, the circumference to diameter ratio of a circle, rounded to the closest hundredth, is approximately 3.14.
Complete Question:
Liza measures the circumferences and diameters of different circles and records them in a table. What is the approximate ratio of the circumference to the diameter of a circle, rounded to the nearest hundredth?
Options:
A) 3.14
B) 6.28
C) 12.56
D) None of the above
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the use of intersecting lines in a drawing to indicate areas of shadow and depth is called __________.
Answers
The use of intersecting lines in a drawing to indicate areas of shadow and depth is called "cross-hatching."
Cross-hatching is a technique used in drawing and other visual arts to create the illusion of shadows, volume, and depth. It involves drawing a series of intersecting parallel lines or strokes in close proximity to one another. By varying the density, spacing, and direction of these lines, an artist can create areas of darker shading or indicate the contours and three-dimensional form of an object.
The intersecting lines create a pattern that visually simulates the effect of shadows and adds dimensionality to the artwork. Cross-hatching is a versatile and effective method to enhance the realism and visual impact of a drawing, and it is commonly employed in various art forms such as sketching, illustration, and pen-and-ink techniques.
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Bradley and angie can mow their yard together with two lawn mowers in 30 minutes. when bradley works alone, it takes him 50 minutes. how long would it take angie to mow the lawn by herself?
Answers
Angie would take 75 minutes to mow the lawn by herself.
What is the time?Time can be defined in mathematics as an ongoing and constant sequence of events that occur in succession, from the past to the present to the future. Time is being used to quantify, measure, compare, and even sequence events.To find out how long will Angie take to mow the lawn:
Let's take Angie's time as x.
So, 30/50 + 30/x = 1Now, multiply by 50x to obtain:
30x + 1500 = 50x1500 = 20xx = 75 minutesTherefore, Angie would take 75 minutes to mow the lawn by herself.
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Percy drew a scale drawing of a hotel. A room in the hotel is 6 inches long in the drawing. The actual room is 24 feet long. What scale did Percy use for the drawing?
1 inch:__ feet
Answers
Answer:
4
Step-by-step explanation:
24/6=4
Rearrange the sequence to model the process of photosynthesis. The beginning of the equation should start at the top, with the products of photosynthesis at the bottom. Sunlight C6H12O6 +6O2C_{6}H_{12}O_{6}\ +6\mathrm{O}_{2}C 6 H 12 O 6 +6O 2 6CO2 + 6H2O6\mathrm{CO}_{2}\ +\ 6\mathrm{H}_{2}\mathrm{O}6CO 2 + 6H 2 O
Answers
1. Sunlight is absorbed by the chloroplasts in the plant cells. 2. Water molecules are split into oxygen and hydrogen ions. 3. The hydrogen ions combine with carbon dioxide to form glucose. 4. Oxygen is released into the atmosphere as a byproduct.
Photosynthesis is the process by which plants, algae, and some bacteria convert light energy into chemical energy in the form of glucose, which can then be used by the organism for energy. The equation for photosynthesis is 6\(CO_{2}\) + 6\(H_{2}\)O → \(C_{6}\)\(H_{12}\)\(O_{6}\) + 6\(O_{2}\). However, the question asks for the sequence of the equation, which is important for understanding the order in which the process occurs.
The process of photosynthesis begins with the absorption of sunlight by the chloroplasts in the plant cells. This light energy is used to split water molecules into oxygen and hydrogen ions. The hydrogen ions combine with carbon dioxide to form glucose, which is stored in the plant as energy. The oxygen is released into the atmosphere as a byproduct.
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If FG is a perpendicular bisector of HI at midpoint Q, what is TRUE about the following statements?
A. HQ 10
B. FG = HI
C. FG HI
D. FQ OG
Answers
Answer:
Option (A).
Step-by-step explanation:
"Two line segments are called to be perpendicular if the angle between them is 90°."
"A bisector of a line segment divides the segment in two equal parts."
By adding these two statements, "a perpendicular bisector of a segment divides the segment in two equal parts and the angle between them is 90°."
In this question, FG is the perpendicular bisector of HI at point Q.
Therefore, HQ ≅ IQ
Option (A) will be the answer.
Match the graph shown with the following equation
Answer a and b please
Answers
Answer:
a) D b)B
Step-by-step explanation:
a) the graph is of negative slope as it slants downwards hence slop/gradient is negative. y intercept is positive so only option d is right
b) sub each option point into 3y = 2x - 1 if they equate to be the same, it is correct.
3(2) = 2(6) - 1
6 = 11 (not equal)
3(1) = 2(2) - 1
3 = 3 (equal) this is the answer
of course you can sub in the rest to confirm but I'm lazy so yeah I'll stop here
Topic: Linear Graphs and its equations
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is 15,13,11,9 an arithmetic sequence?
Answers
Answer: Yes it is an arithmetic sequence.
Step-by-step explanation: Because it is decreasing and you subtracted by 3.
can you give me the answer please
Answers
M=9.8
Identify the system of inequalities from the following. 3x + y > 2 and 3y 2 and 3y 2 and 3y < 9 4x + y = 2 and 3y < 2m
Answers
Answer:
The inequalities are;3x+y>2,3y<9,4x+y=2and 3y<2m
Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?
Answers
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:
= $365 + (5% × $4800)
= $605
The amount is $605.
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A farmer has 180 bushels of apples to sell at his roadside stand. He sells an average of 16 1/8 bushels each day. Represent the total change in the number of bushels he has for sale after 7 days.
HELPPPPPPP
Answers
Answer:
180-2 x 7=166
180-166=14
Use the quadratics formula to solve 2x² +7+4= 0. Approximate the solutions to the nearest hundredth.
A-3.35, -0.15
B) 1.28, 3.66
C) -5.56, -1.44
D) -2.78,-0.72
Answers
Answer:
Step-by-step explanation:
so you do me and can’t
Translate the sentence into an inequality. Ten times the sum of a number and 21 is at most 16. Use the variable y for the unknown number.
Answers
Answer:
10y+ 21 ≥ 16
Step-by-step explanation:
giving brainliest, just for naming off the letters! I can't think of the combination, I just need the names of the letters!
Rafael is burning a CD for Selena. The CD will hold 35 minutes (2100 seconds) of music. Which songs should he select from the list to record the maximum, time on a CD without going over?
A - 304 B - 550 C - 252 D - 189 E - 224 G- 300 H - 441 I - 273
J - 358 F - 270
Answers
Answer:
J,C,H,D,B, and G
Step-by-step explanation:
J and C: 358 + 352 = 610
H and D: 441 + 189 = 630
B and G: 550 + 300 = 850
610 + 630 = 1240
1240 + 850 = 2090
This is what i think is the closest you can get to the max.
1) Find the value of x and y
X
15
78
10
Answers
Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.
What are the values of x and y?To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.
Applying law of cosine;
x² = 15² + 10² - 2(15)(10)cos78
x² = 225 + 100 - 300cos78
x² = 225 + 100 - 62.4
x² = 262.6
x = √262.6
x = 16.2 units
From this, we can apply law of sine to determine y;
x / sin X = y / sin Y
Substituting the values into the formula above;
16.2 / sin78 = 10 / sin y
Cross multiply both sides and solve for y;
16.2siny = 10sin78
sin y = 10sin78 / 16.2
sin y = 0.6038
y = sin⁻¹ (0.6038)
y = 37.14°
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I need this today. Which two integers is 37 square root between?
Answers
Answer:
The square root of 37 is approximately 6.0827. To determine which two integers it lies between, we can find the integers that are closest to the square root of 37.
The integer that is smaller than 6.0827 is 6, and the integer that is larger than 6.0827 is 7.
Therefore, the square root of 37 is between the integers 6 and 7.