The midpoint of AB = ([?], [])
M = (x¹+x², ¹2²)
PLS HELP I WILL MARK BRAINLIEST
![The Midpoint Of AB = ([?], [])M = (x+x, 2)PLS HELP I WILL MARK BRAINLIEST](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/m9pzzwVO13gvpZ6Buo9oaRohkB6kJIQz.png)
Answers
Answer:
[tex]\sf M=\left(-\dfrac{1}{2},0\right)[/tex]
Step-by-step explanation:
Let (x₁, y₁) = Point A = (-2, 1)
Let (x₂, y₂) = Point B = (1, -1)
[tex]\sf Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\implies \sf Midpoint=\left(\dfrac{-2+1}{2},\dfrac{1+(-1)}{2}\right)[/tex]
[tex]\implies \sf Midpoint=\left(-\dfrac{1}{2},0\right)[/tex]
Related Questions
Which of the following is the correct graph of the solution to the inequality -13> -5x + 2 > -28?
Answers
Answer:
3 < x < 6
Step-by-step explanation:
1) Subtract 2 from the whole equation.
- 13 - 2 > -5x > -28 - 2
2) Simplify.
-15 > -5x > -30
3) Divide the whole equation by -5.
-15/-5 < x < -30/-5
4) Simplify.
3 < x < 6
a pie shop offers 20% off the price of a large pie every Monday night. If the regular price is $22, what is the discounted price?
brainliest to answrer
Answers
Answer:
$17.60
Step-by-step explanation:
20% of $22 is $4.4 - Subtract $4.40 from $22 to calculate the discounted price: $17.60
Hope this helped! :)
In an oblique drawing, which surface is shown in its true size and shape and is parallel to the horizon?
top
side
bottom
front
Answers
In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front.
What is the drawing about?The Position of an object in a drawing is known to be parallel to the plane of projection and the circular shape is true in front plane of the oblique view.
The measurements on the front and oblique faces are known to have all its lengths to be true.
Note also that A pictorial drawing that has the front view of an object parallel to the projection plane and shown its true size and shape is known to be Oblique Drawing.
Therefore, In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front and as such, option d is correct.
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State the various transformations applied to the base function f(x)=|x| to obtain a graph of the function g(x) = |x| − 2.
Horizontal shift of 1 unit to the right and a vertical shift upward of 2 units.
Horizontal shift of 1 unit to the right and a vertical shift downward of 2 units.
Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.
Horizontal shift of 1 unit to the left and a vertical shift upward of 2 units.
Answers
Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.
Transformation of functionTransformation technique is a way of changing the position of an object on an xy-plane.
Given the parent function of a modulus function f(x) = |x|, the graph of the function g(x) = |x| - 2 shows a vertical translation of the parent function down by 2 units.
The resulting graph of the translated function is as shown below
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Which of the expressions are equivalent to the one below? (5x1)-7
Answers
Answer:
-2
Step-by-step explanation:
[tex](5 \times 1) - 7 \\ 5 - 7 \\ - 2[/tex]
The length of a reclangle can be represented by the expression 2x - 1. The width of the same rectangle can be represented by the expression x^2 - x + 3. Which of the following expressions can represent the area of the rectangle?
Answers
Answer:
2x^3 - 3x^2 + 7x - 3
Step-by-step explanation:
Area = length * width
= (2x - 1)(x^2 - x + 3)
= 2x(x^2 - x + 3) - 1(x^2 - x + 3)
= 2x^3 - 2x^2 + 6x - x^2 + x - 3
= 2x^3 - 3x^2 + 7x - 3
Write a rule to describe the transformation
Answers
A pilot scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 10 minutes. Air traffic control approved a new flight plan that will allow her to arrive three times faster then she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.
A. Y = 1/3x + 10
B. Y = 3x + 10
C. Y = 1/3x - 10
D. Y = 3x - 10
Answers
y = (1/3)x+10
=============================================================
Explanation:
x = number of minutes of the original flight
Because the pilot travels 3 times faster than before, it means she travels 1/3 of the original time. If she took x minutes on the original flight, then she will take (1/3)x minutes for the new faster flight.
Then add on the 10 minute delay to end up with (1/3)x+10
a man invested $6000 at 8% per annum simple interest for 5 years.
a).calculate the simple interest.
b).the total amount of money collected at the end of the 5 year period.
Answers
Answer:
*r = R/100 = 8%/100 = 0.08 per year, A = P(1 + rt)
a) A = 6000[1 + (0.08 × 5)] = 8400
b) A = $8,400.00
Answer:
a) $2400
b) $8400
Step-by-step explanation:
The simple interest formula can be used to find the amount of interest. The amount collected at the end of the period is the total of principal and interest.
__
a)The simple interest is given by the formula ...
I = Prt . . . . . . P is the principal amount, r is the annual rate, and t is the number of years
For this investment, the interest is ...
I = $6000·0.08·5 = $2400
The simple interest amounts to $2400.
__
b)The amount collected at the end of 5 years is the principal plus interest:
P +I = $6000 +2400 = $8400
The total collected is $8400.
20 POINTS + BRAINLY Complete the table.
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
Interval Frequency
50-54 2
55-59
60-64
65-69
70-74
Answers
The frequency of the data set that matches with the interval stated are:
50 - 54: 2
55 - 59: 6
60 - 64: 7
65 - 69: 3
70 - 74: 2
What is a Frequency?Frequency is the number of times a data point or a set of points within an interval appears often in a data set.
The corresponding frequency to each of the interval given for the data would be as follows:
50 - 54: 2
55 - 59: 6
60 - 64: 7
65 - 69: 3
70 - 74: 2
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please simplify and keep the answer with exponents.
(6^7 * 6^12)/ 6^8
Answers
Answer:
6¹¹
Step-by-step explanation:
Simplifying the numerator :
When two terms with the same base are multiplied, the powers are added6⁷ x 6¹²6¹⁹Solving the expression :
When two terms with the same base are divided, the powers are subtracted6¹⁹ / 6⁸6¹¹write the slope-intercept form of the equation of a line passing through the following two points: (-3, 7) & (6, -5)
Answers
In order to find equation, first find slope:
[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1} \quad where \ (x_1, y_1) , \ (x_2, y_2) \ are \ points[/tex]
Given points: (-3, 7) and (6, -5)
[tex]\rightarrow \sf slope : \dfrac{-5-7}{6-(-3)} =-\dfrac{4}{3}[/tex]
Equation:
[tex]\sf y- y_1 = m(x - x_1)[/tex]
insert values
[tex]\rightarrow \sf y - 7 = -\dfrac{4}{3} (x -(-3))[/tex]
[tex]\rightarrow \sf y = -\dfrac{4}{3} x - 4 +7[/tex]
[tex]\rightarrow \sf y = -\dfrac{4}{3} x +3[/tex]
If f(x) and f¹(x) are inverse functions of each other and f(x) = 2x+ 5, what is ƒ˜¹ (8) ?
Answers
If f(x) and f¹(x) are inverse functions of each other then value of ƒ˜¹ (8) = 3/2.
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
We have,
f(x) = 2x + 5
Let us consider f(x) as y
So, y= 2x + 5
Now replace x to y and y to x
x= 2y+ 5
Solving for y we get
2y = x - 5
y = (x - 5)/2
[tex]f^{-1[/tex](x) = (x - 5)/2
Now, [tex]f^{-1[/tex](8) = (8 - 5)/2
[tex]f^{-1[/tex](x) = 3/2
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what is the slope of the line graphed below?
Answers
Answer:
5
Step-by-step explanation:
the gradient is 5
change in Y over change in X
Which is the completely factored form of 12x3 – 60x2 + 4x – 20?
Answers
Answer:
[tex]4(x-5)(3{x}^{2}+1)[/tex]
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
1 - What is the largest number that divides evenly into [tex]12x^3,-60x^2,4x,[/tex] and [tex]-20[/tex] ?
It is [tex]4.[/tex]
2 - What is the highest degree of [tex]x[/tex] that divides evenly into [tex]12x^3,-60x^2,4x,[/tex] and [tex]-20[/tex] ?
It is 1, since [tex]x[/tex] is not in every term.
3 - Multiplying the results above,
The GCF is 4.
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})[/tex]
3) Simplify each term in parentheses.
[tex]4(3{x}^{3}-15{x}^{2}+x-5)[/tex]
4) Factor out common terms in the first two terms, then in the last two terms.
[tex]4(3{x}^{2}(x-5)+(x-5))[/tex]
5) Factor out the common term [tex]x-5[/tex].
[tex]4(x-5)(3{x}^{2}+1)[/tex]
What is the domain of the given function?
{(3,-2), (6, 1), (-1, 4), (5, 9), (-4, 0)}
{x|x = -4,-1, 3, 5, 6}
Oyly=-2, 0, 1, 4, 9}
O {x|x = -4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
Oyly=-4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
h
Answers
Answer:
A
Step-by-step explanation:
the domain are the value on the x coordinate
i.e 3, 6, -1, 5, -4 = {-4,-1,3,5,6}
a line contains the point (2,3) and has a slope of 1/2 What is the point-slope form of the equation for the line
Answers
The point-slope form of the equation for the line is y - 3 =1/2(x - 2)
Point-slope formFrom the question, we are to determine the point-slope form of the equation for the line
The point-slope form of the equation of a line is given by
y - y₁ = m(x - x₁)
Where (x₁, y₁) is a point on the line
and m is the slope of the line
From the given information,
Slope, m = 1/2
and we have the point (2,3)
∴ The point-slope form of the equation for the line is
y - 3 =1/2(x - 2)
Hence, the point-slope form of the equation for the line is y - 3 =1/2(x - 2)
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answer is 8.99, but how tho
Answers
Answer:
x ≈ 8.99
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides in a right triangle. Here, the geometry of the problem can be modeled by a right triangle. We are given one side and want to find the difference in lengths of the other side for two different angles.
__
setupThe tower height is the side opposite the angle of elevation. The distance from the tower to the end of the shadow is the side adjacent to the angle of elevation, so the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(angle of elevation) = (tower height)/(length of shadow)
Solving for the length of shadow, we have ...
length of shadow = (tower height)/tan(angle of elevation)
The difference in shadow lengths is 2x for the two different angles, so we have ...
2x = 24.57/tan(30°) -24.57/tan(45°)
__
solutionDividing by 2 and factoring out the tower height, we have ...
x = 12.285(1/tan(30°) -1/tan(45°)) = 12.285(√3 -1)
x ≈ 8.993244
The value of x is about 8.99.
Write the product using exponents.
(-6)x(-6)x(-6)
The expression is
Answers
Answer:
(-6)³z² or -6³z²
Step-by-step explanation:
An exponent is used to signify the number of times a factor appears in a product.
__
In the expression (-6)·(-6)·(-6)·z·z, the factor (-6) appears 3 times, and the factor z appears 2 times. Written with exponents, this could be ...
(-6)³z²
_____
Additional comment
We can simplify this by realizing the product of the constant factors will be negative. (There is an odd number of minus signs.) The expression can also be written as ...
-6³z²
The version with (-6) being cubed is a more direct translation to the use of exponents.
The diagonals of a trapezoid are 15 cm and 13 cm. The height is 12 cm. Find the area of the trapezoid.
Answers
Answer:
168cmsqured
Step-by-step explanation:
as for me,15 acts as the lower part of the trapezium while 13 acts as the upper part of the trapezium .so since I know the measurements of the both sides I can easily calculate the area use using the formula indicated in the image.hope it helps
Is LMN = OPQ? If so, name the congruence postulate that applies. N Given: LM = OP PQ = MN P M = 00 O A. Congruent - SAS O B. Congruent - SSS O C. Might not be congruent O D. Congruent - ASA
Answers
Based on the sides of LMN and OPQ, the congruence postulate that applies is B. Congruent - SSS.
When is the SSS rule used?It is used when the two triangles given have three equal corresponding sides which also have equal angles.
All three sides of LMN and OPQ are equal sides and have equal angles and so the SSS rule applies.
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LL
F
C
9
5
D
2x+3
E
What is the value of x and the length of segment DE?
1 5
9
9
2x + 3
2. 10x+15=9(9)
Length of DE=
units
Answers
Answer:
[tex]x=\boxed{6.6}[/tex]
[tex]\overline{\sf DE}=\boxed{13.2}\:\:\sf units[/tex]
Step-by-step explanation:
Geometric Mean Theorem - Altitude Rule
The altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments. The ratio of one segment to the altitude is equal to the ratio of the altitude to the other segment:
[tex]\sf \dfrac{segment\:1}{altitude}=\dfrac{altitude}{segment\:2}[/tex]
From inspection of the given diagram:
altitude = FD = 9segment 1 = CD = 5segment 2 = DE = [tex]2x+3[/tex][tex]\begin{aligned}\sf \dfrac{segment\:1}{altitude} & = \sf \dfrac{altitude}{segment\:2}\\\\\implies \dfrac{5}{9} & = \dfrac{9}{2x+3}\\\\5(2x+3) & = 81\\\\10x+15 & = 81\\\\10x & = 66\\\\ \implies x & = 6.6\end{aligned}[/tex]
Substitute the found value of x into the expression for DE:
[tex]\begin{aligned}\sf \overline{DE} & = 2x+3\\\implies \sf \overline{DE} & = 2(6.6)+3\\& = 13.2+3\\& =16.2\:\: \sf units\end{aligned}[/tex]
suppose a normal distribution has a mean of 38 and a standard deviation of 2 what is the probability that a data value is between 37 and 41? round your answer to the nearest tenth of a percent
Answers
Using the normal distribution, it is found that there is a 62.4% probability that a data value is between 37 and 41.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 38, \sigma = 2[/tex]
As a proportion, the probability that a data value is between 37 and 41 is the p-value of Z when X = 41 subtracted by the p-value of Z when X = 37, hence:
X = 41:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41 - 38}{2}[/tex]
Z = 1.5
Z = 1.5 has a p-value of 0.933.
X = 37:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{37 - 38}{2}[/tex]
Z = -0.5
Z = -0.5 has a p-value of 0.309.
0.933 - 0.309 = 0.624,
0.624 = 62.4% probability that a data value is between 37 and 41.
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At the local pet store, zebrafish cost $2.10 each, and neon tetras cost $1.95 each. if ernesto bought 13 fish for a total cost of $26.70 not including tax, how many of each type of fish did he buy?
Answers
Answer:
zebrafish: 9neon tetras: 4Step-by-step explanation:
The numbers of zebrafish and neon tetras can be found by writing an equation relating the numbers of each to their total cost.
__
setupLet z represent the number of zebrafish Ernesto bought. Then the number of neon tetras is (13 -z), and the total cost of the purchase was ...
2.10z +1.95(13 -z) = 26.70
solution0.15z +25.35 = 26.70 . . . . . . simplify
0.15z = 1.35 . . . . . . . . . . . . subtract 25.35
z = 9 . . . . . . . . . . . . . . . divide by 0.15
Ernesto bought 9 zebrafish and 4 neon tetras.
Isabel says that 0.02 can be expressed as 20%. Is she correct? Explain why or why not.
Answers
[tex]\text{She is not correct because}\\\\20\% = \dfrac{20}{100} = \dfrac 2{10} = 0.2 \neq 0.02[/tex]
The median of the values:29,24,30,23,28,18,
Answers
Answer:
26
Step-by-step explanation:
18,23,24,28,29,30
(6 in total + 1)/2=3.5.
- the number which is 3.5 is between 24 and 28.
- middle number between these two is 26.
Which ordered pair is a solution to the following system of inequalities?
y < –x2 + x
y > x2 – 4
(0, –1)
(1, 1)
(2, –3)
(3, –6)
Answers
Answer: (0,-1)
Step-by-step explanation:
Let's start with the first inequality, [tex]y < -x^{2}+x[/tex]. To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.
A) [tex]-1 < -0^{2}+0 \longrightarrow -1 < 0 \longrightarrow \text{ True}[/tex]B) [tex]1 < -1^{2}+1 \longrightarrow 1 < 0 \longrightarrow \text{ False}[/tex]C) [tex]-3 < -2^{2}+2 \longrightarrow -3 < -2 \longrightarrow \text{ True}[/tex]D) [tex]-6 < -3^{2}+3 \longrightarrow -6 < -6 \longrightarrow \text{ False}[/tex]Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).
A) [tex]-1 > 0^{2}-4 \longrightarrow -1 > -4 \longrightarrow \text{ True}[/tex]C) [tex]-3 > 2^{2}-4 \longrightarrow -3 > 0 \longrightarrow \text{ False}[/tex]Therefore, the answer is (A) (0, -1).
A wire goes from the top of a 55 ft pole to the ground. It makes a 70
o angle with the ground. How long is the wire? NEEDN ASAP!!! ill give 20 points for this
Answers
Answer:
58.5 ft
Step-by-step explanation:
sin 70=55/length
length=58.5 ft
Look at the photo and answer the question.
Please don’t just put the answer at the top of the text and don’t make it hard to find.
Answers
Answer:
second option
Step-by-step explanation:
5 newton pushing it to the right
while a mere 4 newton pushing it to the left
more force pushing towards right
This would be the answer because there are 5 newtons forcing the given object to the right while there are 4 newtons forcing the object to the left. Because 5 is greater than 4, the object would accelerate to the right in this model with 1 newton more of force than it would to the left.
anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board. two students will be selected, and they will alternate attending the school board meetings. all five students are equally well qualified, so the school superintendent decides to draw names at random. what is the probability he will choose debbie and esther as the two representatives? enter your answer as a fraction in simplest terms.
Answers
Probability that he will choose debbie and esther as the two representatives is 1/20 .
What is the meaning of Probability ?Probability is the stream in mathematics in which likeliness of an event to happen is studied.
The range of probability lies between 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.
It is given that anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board.
two students will be selected, and they will alternate attending the school board meetings.
all five students are equally well qualified, so the school superintendent decides to draw names at random.
probability he will choose debbie and esther as the two representatives = ?
Probability of chosing debbie is 1/5
Probability of choosing Esther is also 1/5
Either of them if chosen first the probability is 1/5
and the either of them chosen second the probability is 1/4
Probability that he will choose debbie and esther as the two representatives = (1/5)*(1/4) = 1/20 .
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