Answer:
[tex](\frac{u+s}{2} , \frac{v+t}{2} )[/tex] (the first option)
Step-by-step explanation:
The midpoint of a segment connecting two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] can be described by the following formula: [tex]\frac{x_1 + x_2}{2} = x_{mid}[/tex] and [tex]\frac{y_1 + y_2}{2} = y_{mid}[/tex]. As you can see, the formula essentially takes the average of the x- and y-coordinates to find the point in the middle.
With points (u, v) and (s, t), the midpoint becomes [tex](\frac{u+s}{2} , \frac{v+t}{2} )[/tex] (the first option).
Solve 4(x - 3) - 2x - 1) > 0
Answer:
x > 5.5
Step-by-step explanation:
4(x - 3) - (2x - 1) > 0
4x - 12 - 2x + 1 > 0
4x - 2x - 11 > 0
2x - 11 > 0
2x - 11 + 11 > 0 + 11
2x > 11
2x ÷ 2 > 11 ÷ 2
x > 5.5
Answer:
x>13/2
Step-by-step explanation:
4x-12-2x-1>0
2x-13>0
2x>13
X>13/2
Martina read that the average graduate student is 33 years old. She wanted to estimate the mean age of graduate students at her large university, so she took a random sample of 30 graduate students. What is Martina's margin of error?
Answer: Martina's margin of error is 1.5.
Step-by-step explanation:
Given: Average graduate student (upper limit) = 33
Random sample graduate student (lower limit) = 30
Formula to calculate margin of error is as follows.
Margin of error = [tex]\frac{upper limit - lower limit}{2}[/tex]
Substitute the values into above formula as follows.
[tex]Margin of error = \frac{upper limit - lower limit}{2}\\= \frac{33 - 30}{2}\\= \frac{3}{2}\\= 1.5[/tex]
Thus, we can conclude that Martina's margin of error is 1.5.
There jar of milk contains 40 litre,50 litre, and 60 litre of milk. Find the greatest capacity of vessel which can empty out each jar with the exact number of fillings
Answer:
10
Step-by-step explanation:
Do HCF of 40,50,60 and the answer is 10
What is the area of a rectangle with vertices at 4,3 11,3 11,9 4.9
Answer:
42 units²
Step-by-step explanation:
the area = (11-4) × (9-3)
=7×6 = 42 units²
Solve for c.
3c - 15 = -45
Answer:
c = -10
Step-by-step explanation:
For this we can use basic algebra. Add 15 on both sides. This gives us 3c = -30. Divide by 3 on both sides. The final answer is c = -10.
The value of c is -10 in the equation 3c - 15 = -45.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 3c-15=-45
Three times of c minus fifteen equal to minus forty five.
In the given equation minus is the operator and c is the variable.
We need to solve for variable c
3c-15=-45
Add 15 on both sides
3c-15+15=-45+15
3c=-30
Divide both sides by 3
c=-10
Hence, the value of c is -10 in the equation 3c - 15 = -45.
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I need help in this question
Answer:
the think the answer is €170
because 15000+20/100
= 170Dado un rectángulo cuya base, lado mayor es 15 cm y cuya altura, lado menor, es 10 cm. Calcular el perímetro y el área
ayuda es para hoy doy 5 estrellas
Answer:
Área de un rectángulo = 150 cm²
El perímetro de un rectángulo = 50 cm
Step-by-step explanation:
Área de un rectángulo = largo × ancho (alto)
= 15 cm × 10 cm
= 150 cm²
El perímetro de un rectángulo = 2L + 2W
Donde L = longitud = 15 cm
W = Ancho = 10 cm
= 2 (15 cm) + 2 (10 cm)
= 30 + 20
= 50cm
749
B
C
(2y +34)
Okay
...........................
Select the correct answer.
Which number is an irrational number?
A. √100
B. 1/8
C. -2.2675
D. ^3√16
The none of no irrational number in the given option.
What is an irrational number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
In another word, irrational numbers are those numbers that can not terminate.
For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.
Among the given option
A) √100 = 10 which is integer.
B) 1/8 were 1 and 8 both integer.
C) -2.2675 here also it is an integer.
D) [tex]0^{12}[/tex] which is 0 so it is also a rational number.
Hence none of the irrational numbers. It might be possible that there is a typing mistake in the question or in option D there is something else.
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select the expression that is equivalent to (x-7)
probability please help i will give brainliest
There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.
After putting back the first marble, the probability of drawing another red is again 5/11.
So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.
HELP NOW!!! Yani buys 4 dozen flyers for $7.80. What is the unit rate?
Answer:
1.95
Step-by-step explanation:
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = 1/2 (x - 1). What is the slope-intercept for of the equation for this line?
A.) y = 1/2x + 2
B.) y = 1/2x - 4
C.) y = 1/2x + 5/2
D.) y = 1/2x - 7/2
PLEASE HELP!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
To convert from point-slope form to slope-intercept form, we can simplify and isolate the y.
We have the equation:
[tex]\displaystyle y-3=\frac{1}{2}(x-1)[/tex]
Distribute the right-hand side:
[tex]\displaystyle y-3=\frac{1}{2}x-\frac{1}{2}[/tex]
Add 3 to both sides:
[tex]\begin{aligned} \displaystyle y&=\frac{1}{2}x-\frac{1}{2}+3\\\\&=\frac{1}{2}x-\frac{1}{2}+\frac{6}{2}\\\\&=\frac{1}{2}x+\frac{5}{2}\end{aligned}[/tex]
Our answer is C.
The quantity p varies inversely as the square of (q + 2)
p=5 when q = 3
Find p when q = 8
Answer:
p = 1.25
Step-by-step explanation:
varies inversely
p (q + 2)² = k
-----------------------
Find k
p=5 when q = 3
5(3 + 2)² = k
5(25) = k
125 = k
----------------------
Find p when q = 8
p(8 + 2)² = 125
p(100) = 125
divide both sides by 100
p = 1.25
Please help meeee
Similar Figures Activity - Dilations Not at the Origin
Step-by-step explanation:
∆ABC =>by reflection over x-axis and then dilation with scale factor 2, the point of center (5, -1) ==> ∆ XYZ
Solve the system of equations: y=2x+1. y=x^2+2x-8
Answer:
Step-by-step explanation:
Answer:
(- 3, - 5 ) , (3, 7 )
Step-by-step explanation:
Given the 2 equations
y = 2x + 1 → (1)
y = x² + 2x - 8 → (2)
Substitute y = x² + 2x - 8 into (1)
x² + 2x - 8 = 2x + 1 ( subtract 2x + 1 from both sides )
x² - 9 = 0 ( add 9 to both sides )
x² = 9 ( take the square root of both sides )
x = ± [tex]\sqrt{9}[/tex] = ± 3
Substitute these values into (1) for corresponding values of y
x = - 3 : y = 2(- 3) + 1 = - 6 + 1 = - 5 ⇒ (- 3, - 5 )
x = 3 : y = 2(3) + 1 = 6 + 1 = 7 ⇒ (3, 7 )
Kevin buys the items listed below at a grocery store. 3 packages of chicken priced at $12.36 per package 12 pound of broccoli priced at $1.98 per pound 1 gallon of milk priced at $6.48 per gallon There is no sales tax on the food she buys. Susan pays for the items and receives $0.45 in change. What amount of money does Kevin use to pay for the items?
Answer:
67.77$ Kevin use to pays for the items.
Step-by-step explanation:
According To the Question, We have
Kevin buys the item listed below at a grocery store
3 Packages of chicken priced 12.36$ per package = 12.36×3=37.08$12 Pound of Broccoli Priced 1.98$ per pound = 1.98×12 = 23.76$1 gallon of milk priced 6.48$ per gallon = 6.48×1 = 6.48$Now, Kevin Pays for the items and receives 0.45$ in Change.
Amount of Money Kevin Pays
6.48$+23.76$+37.08$+0.45$ = 67.77$
Lin scored 18 marks in a test and Jon scored 12 marks.
Calculate Lin's mark as a percentage of Jon's mark
Answer:
=60
Step-by-step explanation:
18 + 12
=30
18/30 × 100%
=60
25 points!!!!!!!!!!!!!!!!!!!!!!
2x+2y=, for ,x=-2,y=5
Answer:
6
Step-by-step explanation:
2x+2y=2*(-2)+2*5=6
Answer:
6
Step-by-step explanation:
Substitute x = - 2, y = 5 into the expression
2x + 2y
= 2(- 2) + 2(5)
= - 4 + 10
= 6
Find the reciprocal of 9.
the reciprocal of 9 is 1 divided by 9, i.e. 1/9
Written as a simplified polynomial in standard form, what is the result when (2x - 7) ^ 2 is subtracted from 1?
Answer:
ans: -4( x-3 )( x-4 ) I.e -4( x² + x - 12 )
Step-by-step explanation:
as per question
1- (2x-7)²
= (1 + 2x - 7)(1- 2x + 7)
= ( 2x - 6)(-2x +8)
= -4(x-3)(x+4)
The simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].
And we get, [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.
What is the polynomial?
Polynomials are algebraic expressions that consist of variables and coefficients.
What is the identity for [tex](a-b)^{2}[/tex]?[tex](a-b)^{2} =a^{2} +b^{2} -2ab[/tex]
According to the given question
We have a polynomial [tex](2x -7)^{2}[/tex].
Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is given by
[tex](2x-7)^{2} =(2x)^{2} +(7)^{2} -2(2x)(7)[/tex]
⇒[tex](2x-7)^{2} =4x^{2} +49-28x[/tex]
Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].
Now,
[tex]1-(4x^{2} +49-28x)= 1-4x^{2} -49+28x[/tex]
⇒[tex]1-(4x^{2} +49-28x)=-4x^{2} -48+28x[/tex]
Hence, we get [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.
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Simplify variable expressions involving like terms and the distributive property
Answer:
gracias por los puntos xd
how do i solve for x with an equation that says 19 = x - 3
Answer: x = 22
Step-by-step explanation: Since x is unknown, we want to isolate it and determine what it equals. We know that x - 3 gives us 19, but we don't want to know what x - 3 is, just x. So we can add three to both sides of the equation, to get our answer and keep it balanced. As a result, we get x = 22
Answer:
x = 22
Step-by-step explanation:
19 = x - 3
Add 3 to each side
19 + 3 = x - 3 + 3
Simplify
22 = x
What is the slope of the line that passes through the points (3,2) and (-4,3)?
Answer:
slope = 1/-7
Step-by-step explanation:
We have two points which are (3,2) and (-4,3) .
To find slope , use the slope formula
m = ( y² - y¹ ) / ( x² - x¹)
Where,
m is the slope of line.( y² - y¹ ) = ( 3 - 2 )( x² - x¹) = ( - 4 - 3)substitute the values
m = ( 3 - 2 ) / ( - 4 - 3)
m = 1/-7
Hence, slope of line is 1/-7
Please help me the picture is above I’ll mark as brainliest. I really need the answer
Which peicewise function is shown in the graph?
Answer:
Option (1)
Step-by-step explanation:
From the graph of the piecewise function,
There are two pieces of the function,
1). Segment (1) having x < 0
2). Segment (2) having x ≥ 0
Segment (1),
Segment starts with a hollow circle at x = 0 and passes through two points (0, 1) and (-2, 2)
Slope of the segment = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{2-1}{-2-0}[/tex]
= [tex]-\frac{1}{2}[/tex]
Equation of the segment passing through (-2, 2) with slope = [tex]-\frac{1}{2}[/tex],
[tex]y-y'=m(x-x')[/tex]
[tex]y-2=-\frac{1}{2}(x+2)[/tex]
[tex]y=-\frac{1}{2}x-1+2[/tex]
[tex]y=-\frac{1}{2}x+1[/tex]
[tex]y=-0.5x+1[/tex] For x < 0
Segment (2),
Segment starts with a solid circle at x = 0 and passes through (0, -2) and (2,2)
Slope of the segment = [tex]\frac{2+2}{2-0}[/tex]
= 2
Equation of the segment passing through (0, -2) and slope = 2,
y - y' = m(x - x')
y + 2 = 2(x - 0)
y = 2x - 2 For x ≥ 0
Therefore, Option (1) will be the correct option.
Which of these shows 9 + 4p rewritten using the commutative property of addition?
4p + 9
9p + 4
9 − 4p
4p − 9
Answer:
[tex]4p + 9[/tex]
Step-by-step explanation:
Commutative property of addition:
Changing the order of addends does not change the sum.
Hope it is helpful...Answer:
4p+9
Step-by-step explanation:
Addition is the same reversed.
For example,
7+5=12
AND
5+7=12
HELP PLEASE ITS DUE TODAY!
I'll give brainliest.
Answer:
930=9 hundreds 3 tens
93times10
80=8 tens
320= 3 hundreds 2 tens
8000=8 thousands
The length of the sides of a triangle are y, y + and 7 centimeters. If the triangles perimeter is 56 centimeters, what is the value of y?
A) 24
B) 25
C)31
D) 32
HELP PLEASE! 50 points
Answer:
D. 270°Step-by-step explanation:
mADC = 360° - m∠AOCmADC = 360° - 90° = 270°Correct choice is D
Answer:
D. 270°
Step-by-step explanation: