Answer:
\((-4, -\frac{1}{2})\)
Step-by-step explanation:
Hi there!
We are given the line segment, with the end points AB
The coordinates of A are (-5, -4), and the coordinates of B are (-3, 3).
We want to find the midpoint of the line segment AB
The midpoint formula is given as \((\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})\), where \((x_1, y_1)\) and \((x_2, y_2)\) are coordinates
We have two coordinates, which is what we need, but let's label their values to avoid any confusion:
\(x_1=-5\\y_1=-4\\x_2=-3\\y_2=3\)
Now substitute those values into the formula:
\((\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})\)
\((\frac{-5+ -3}{2}, \frac{-4+ 3}{2})\)
Now simplify the numerator and denominator
\((\frac{-8}{2}, \frac{-1}{2})\)
Simplify again:
The midpoint is (-4, \(-\frac{1}{2}\))
Hope this helps!
plz help. y=-4x , brainliest
Answer:
0
The slope is: m=4. The y -intercept is: b=0 or (0,0)
Step-by-step explanation:
plz giv it to me i need it
Answer:
this is the other guy stars im on a dif account can i get it now on ther other 1
Step-by-step explanation:
In ΔHIJ, h = 33 cm, i = 61 cm and j=39 cm. Find the area of ΔHIJ to the nearest square centimeter.
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
Explain about the Heron's formula:Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)
where s = half the perimeter,
s = (a + b + c)/2.
given data:
In ΔHIJ,
h = 33 cm, i = 61 cm and j =39 cm.semi -perimeter s = (i + j + h) / 2
s = (33 + 61 + 39) / 2
s = 66.5
Now,
s - h = 66.5 - 33 = 33.5
s - i = 66.5 - 61 = 5.5
s - j = 66.5 - 39 = 27.5
area of ΔHIJ = √s(s - h)(s - i)(s - j)
area of ΔHIJ = √66.5*33.5*5.5*27.5
area of ΔHIJ = √336947.1875
area of ΔHIJ = 580.47
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
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Show that sin⁴x-cos⁴x/ sin²x-cos²x = 1
Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1.
Here, we have,
given that,
the LHS is:
sin⁴x-cos⁴x/ sin²x-cos²x
now, we know that,
sin²x+cos²x = 1
and, we know that,
a² - b² = (a+b) (a-b)
so, we get,
sin⁴x-cos⁴x/ sin²x-cos²x
= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x
=(sin²x+cos²x)
=1
= RHS
Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1
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(-2,6) and (1,1) point slope equation
Answer:
\(y=-\frac{5}{3}x +\frac{8}{3}.\)
Step-by-step explanation:
\(1. \ formula:\\ \frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1};\)
2. according to the formula above:
\(\frac{x+2}{1+2} =\frac{y-6}{1-6}; \ = > \ \frac{x+2}{3} =\frac{y-6}{-5};\)
3. finally, 5x+3y=8 ⇔
\(y=-\frac{5}{3}x +\frac{8}{3}.\)
WILL GIVE BRAINLIEST if you show the steps
Answer:
i really dont know how to do this
Step-by-step explanation:
Use place value to find the
product.
Densila at
8 X 60 8 X tens
=
=
tens
We know that,
each digit in a number has a place value. The place a number occupies in a number tells us its importance. The product of a number and the digit value it occupies gives the digit value.
What are some example location values?
Product Importance Image Results
A digit value can be defined as a value represented by a digit within a number given its position within the number. For example, the sevens digit value of 3,743 is 7000 or 700. However, the 7th digit value of 7,432 is 7,000 or 7,000.
tens
According to the question,
We find the value of tens
1. 4 tens ×8 =320
2.5×6 tens=30 tens =300
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Please help asap!!!!!!
By SAS congruence triangle MLN and triangle OLN are congruent.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Given that, LM≅LO, ∠MLN≅∠OLN.
LM≅LO (Given)
∠MLN≅∠OLN (Given)
LN≅LN (Reflexive property of congruence)
ΔMLN≅ΔOLN (SAS congruence)
∠M≅∠O (CPTC)
MN≅ON (CPTC)
Therefore, by SAS congruence triangle MLN and triangle OLN are congruent.
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∠A and ∠B are complemntry angles. If m∠A = (3x+18) and m∠B = (2x+17) then find the measure of ∠A
Work Shown:
Complementary angles add to 90 degrees.
A+B = 90
(3x+18)+(2x+17) = 90
5x+35 = 90
5x = 90-35
5x = 55
x = 55/5
x = 11
Then we can determine each angle:
angle A = 3x+18 = 3*11+18 = 33+18 = 51 degrees is the final answerangle B = 2x+17 = 2*11+17 = 22+17 = 39 degreesAs a check: A+B = 51+39 = 90 to confirm the answer.
Hi- I need help please to get my HS diploma...did not graduate :(
For the inequality y+4x≤x2+2, where is the graph shaded and is the curve solid or dotted?
Answer:
B
Step-by-step explanation:
first for the easy one : the curve line is dotted, if the line points are NOT part of the solution. and it is solid, if the points are included.
you know what the curve line indicates ? it indicates the points for which there is equality.
so, if there is a ">=" or "<=" relation, then that includes equality, and the curve is solid.
if there is only a true inequality ("<", ">"), then the curve is dotted, as the equality is not included.
so, I how this is now really clear.
in our case here (I suspect it really looks like this)
y + 4x <= x² + 2
we have a "<=" sign, so, the curve is ..., well ? ... well ? ...
well ? ... well ? ... solid !
and we still treat inequalities as much as possible as regular equalities.
so,
y <= x² - 4x + 2 (after subtracting 4x from both sides).
and now you see it, right ?
all y values that are smaller or equal to the quadratic expression.
SMALLER ! so, BELOW the curve (as the smaller y values are represented by the lower part of the y-axis).
A rectangle has vertices on a coordinate plane at points E(-2,-2), F(-2,5), G(4,5), and H(4,-2). What is the length of side EF
Answer:
7 cm
Step-by-step explanation:
If y= -252 when x = 84, what is Y when X =74?
Answer:
Step-by-step explanation:
So lets turn this into a ratio
-252/84
so now we need to know
y/74
So, -252/84= -3
so y/74 needs to be equal to -3
74*-3 = 222
-222/74=-3
So our answer is y = -222
Hope this helps!!^^
The graph of g consists of two straight lines and a semi circle. Evaluate each
Given:
a)
\(\int ^1_0g(x)dx\)Consider the shape included in the region from 0 to 1 of g(x).
The area is,
\(\int ^1_0g(x)dx=\frac{1}{2}\times1\times4=2\)b) From x = to x = 6 includes the semi-circle. Its area is calculated as,
\(\int ^6_2g(x)dx=-\frac{1}{2}(\pi\times r^2)=-\frac{1}{2}(\pi\times2^2)=-2\pi=-6.28\)The total number of atoms represented by Cd(CH₂CICO₂)2 is:
O a) 13
Ob) 16
O c) 17
Od) 15
Oe) 14
The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.
What is addition?In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.
Cd(CH₂CICO₂)₂ contains:
1 cadmium (Cd) atom
2 carbon (C) atoms
6 hydrogen (H) atoms
4 oxygen (O) atoms
2 chlorine (Cl) atoms
Adding these up, we get:
1 + 2 + 6 + 4 + 2 = 15
Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.
The answer is (D) 15.
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Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit.
(Hint: Assume that the central point of each arc is its corresponding vertex.)
The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.
To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.
First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.
In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.
Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.
Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.
Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.
Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.
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Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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HELP HELP HELP First to "help" rather than just answer with a random thanks for the points kinda response gets brainliest
find the roots of f(x)=(x-6)^2(x+2)^2
Answer:
look online and it will give u the answer
7(4p+2q+3r) apply the distributive property to create an equivalent expression
Answer:
28p + 14q + 21r
Step-by-step explanation:
7(4p + 2q + 3r) ← multiply each term in the parenthesis by the 7 outside
= 28p + 14q + 21r
Find the AQR Ten for the following list of numbers: 1, 2, 4, 3, 3, 8, 5, 6
The calculated IQR of the list of numbers is 3
How to calculate the IQR of the list of numbersFrom the question, we have the following parameters that can be used in our computation:
1, 2, 4, 3, 3, 8, 5, 6
Sort the above number in ascending order
So, we have
1, 2, 3, 3, 4, 5, 6, 8
Split the above numbers to 2
So, we have
1, 2, 3, 3
4, 5, 6, 8
In the above, we have
Q1 = (2 + 3)/2 = 2.5
Q3 = (5 + 6)/2 = 5.5
using the above as a guide, we have the following:
IQR = 5.5 - 2.5
Evaluate
IQR = 3
Hence, the IQR of the list of numbers is 3
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Expand each expression
\ln \frac { 4 y ^ { 5 } } { x ^ { 2 } }ln
x
2
4y
5
Therefore , the solution of the given problem of expression comes out to be its final simplification is 5ln4y - 2lnx.
What is an expression?There is a need for mathematical operations such addition, multiplication, multiplication, and division. When variable combined, they produce the following: A mathematical operator, some data, and an equation A statement of fact is composed of values, parameters, plus operations like additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.
Here,
Given :
To expand the given expression :
=> ln [ (4y)⁵/ x² ]
=> ln [ (4y)⁵/ x² ]
=> ln(4y)⁵ - lnx²
=> 5ln4y - 2lnx
Thus,
its final simplification is : 5ln4y - 2lnx.
Therefore , the solution of the given problem of expression comes out to be its final simplification is 5ln4y - 2lnx.
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Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
If u(x) = −2x² +3 and v(x)=1/x, what is the range of (uv)(x)?
Given:
\(\begin{gathered} u(x)=-2x^2+3 \\ v(x)=\frac{1}{x} \end{gathered}\)Required:
To find the range of the function (uv)(x).
Explanation:
We know that
\(\begin{gathered} (uv)(x)=u(v(x)) \\ \\ =u(\frac{1}{x}) \\ \\ =-2(\frac{1}{x^2})+3 \\ \\ =-\frac{2}{x^2}+3 \end{gathered}\)The horizontal asymptote of this function is at y=3.
So, the range of this function is from
\((-\infty,3)\)Final Answer:
The range of (uv)(x) is
\((-\infty,3)\)To determine the amount of wrapping paper needed for a rectangular box, Ryan finds the surface area of the box. How much wrapping paper is needed if the boxmeasures 10 cm by 3 cm by 8 cm?O 134 cm? of wrapping paper0 220 cm? of wrapping paperO 268 cm? of wrapping paperO 240 cm? of wrapping paper
268 cm²
Explanation:The dimension of the box is 10cm by 3cm by 8cm
The box is rectangular. To find the surface area, we will use formula of surface area of rectangular prism
\(\text{Surface area = 2(lh + wh + lw)}\)let the length = l = 10cm,
width = w= 3cm
height = h = 8cm
substitute for the values in the formula:
\(\begin{gathered} \text{Surface area of the box = }2((10\times8)\text{ + (3}\times8)\text{ + (10}\times3)) \\ \text{surface area of the box = 2(80 + 24 + 30)} \end{gathered}\)\(\begin{gathered} \text{surface area of the box = 2(134)} \\ \text{surface area of the box = 268 cm}^2 \end{gathered}\)Hence, the amount of wrapping paper needed for the box is 268 cm²
Yo anyone know the answer
Answer:
12350
Step-by-step explanation:
I had the same question on a math test
number 5 pls pls pls i need it nowww
Answer:
4.583
Step-by-step explanation:
\(\frac{6+8+15+18+18+21+24}{24} \\=110/24\\=4.583\)
There are blue, red and yellow counters in a bag in the ratio 9:6:3.
There are 6 more blue counters than red counters. How many counters
are there in total?
Answer:
36Step-by-step explanation:
The ratio is given:
b : r : y = 9 : 6 : 3Let each equal part be x, then we have:
b - r = 69x - 6x = 63x = 6x = 2Total number of counters:
2(9 + 6 + 3) = 2(18) = 36Step-by-step explanation:
Let,
Blue counter = 9x
Red counter = 6x
Yellow counter = 3x
Given,
9x = 6x + 6
9x - 6x = 6
3x = 6
x = 6/3
x = 2
Now,
Total number of counter = 2(9) + 2(6) + 2(3)
=> 18 + 12 + 6
=> 36
y varies directly as x.y = 52 when x=4. Find y when x= 10.
y=
(Simplify your answer.)
Answer:
9ha
shhsi a sa.anjwkw a zkaq
Amanda tiene 4 bolitas más que Rodrigo, y Patricio tiene una bolita más que el doble de Amanda y Rodrigo juntos. Si en total tienen 103 bolitas, cuantas bolitas tiene Amanda
Las cantidades de bolitas para cada una de las tres personas son las siguientes:
Amanda: 19 bolitas
Rodrigo: 15 bolitas
Patricio: 69 bolitas
¿Cuántas bolas tienen Amanda, Rodrigo y Patricio?En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:
Amanda
x = y + 4
Rodrigo
y
Patricio
z = 2 · (x + y) + 1
Total
x + y + z = 103
A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:
x + y + 2 · (x + y) + 1 = 103
3 · x + 3 · y = 102
x + y = 34
y + 4 + y = 34
2 · y = 30
y = 15
Luego, determinamos las cantidades de bolitas de Amanda y Patricio:
x = 15 + 4
x = 19
z = 2 · (19 + 15) + 1
z = 2 · 34 + 1
z = 68 + 1
z = 69
ObservaciónEl enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.
The statement is written in Spanish and the language used in the answer is the same of the statement.
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The mean of the data set is and the sample proportion of numbers less than the mean is
The mean of the data set is 22.1 , and the sample proportion of numbers less than the mean is 46.67 %
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Mean of the data set is calculated by adding all numbers and dividing it with total number sample data.
Then Adding all the numbers;
25.5 + 26 +18.2 +15.3 + 28.5 + 27 + 20.7 +20.2 +26.1 +18.2 +21.4 +17.9 +24.3 +22.6+ 19.6 =331.5
Now Dividing by total,
331.5/15 =22.1
Mean =22.1
The sample proportion of numbers less than the mean will be;
= (7/15 ) 100
=46.67%
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The complete question is;
For this question, any non-integer answers should be entered as decimals, rounded to the hundredths place.
Consider this data set. The mean of the data set is ___ , and the sample proportion of numbers less than the mean is ___%
Select the sketch of the right rectangular prism with height of 2cm and bases that are 5 cm by 3 cm.
Answer: See image
Step-by-step explanation:
The bases are 5cm times 3cm, meaning that 2 parallel sides have to be 5cm by 3cm, 2 other parallel sides have to 2cm by 3cm, and the 2 other parallel sides have to be 5cm by 2cm.