The coordinates of the point that divides the segment into a 3:2 ratio is (-2.2, -1.2)
How to determine the coordinate?The points are given as:
G = (-4,3)
H = (-1,-4)
Ratio, m : n = 3 : 2
The coordinate of the point is calculated using:
[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1, my_2 + ny_1)[/tex]
This gives
[tex](x,y) = \frac{1}{3 + 2} * (3 * -1 + 2 * -4, 3 * -4 + 2 * 3)[/tex]
Evaluate
[tex](x,y) = \frac{1}{5} * (-11, -6)[/tex]
Evaluate the product
(x,y) = (-2.2, -1.2)
Hence, the coordinate of the point is (-2.2, -1.2)
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In class 8 A, there are 20 students, 55% students are present on Wednesday. Find out how many people are present that day? How many people are absent on that day?
Answer:
11 students are present and 9 are absent.
16-
15-
14-
13-
12-
11-
65
Distance (meters)
1698
master bedroom
living room
2nd bedroom.
X
0 1 2 3 4
5
6
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 2
Distance (meters)
What is the area of the kitchen floor in this floor plan?
6 5
y
4
3
2-
0
kitchen
entry-
bath
Answer:
[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]
Gamitin mo utak mo bleh
[tex]\red{\rule{10pt}{999999pt}}\orange{\rule{10pt}{999999pt}}\green{\rule{10pt}{999999pt}}\blue{\rule{10pt}{999999pt}}\purple{\rule{10pt}{999999pt}}[/tex]
Twenty-five students are competing in a Science Fair. In how many ways can 3 students win first, second, and third place?
A) 2.6 · 10^24 B) 3.9 · 10^25 C) 13,800 D) 19,656
Please help
Answer:
C
Step-by-step explanation:
[tex]\frac{25!}{(25-3)!} =13800[/tex]
Julian has partially filled the prism below with 16 unit cubes.
A rectangular prism with a length of 4, height of 3, and width of 3.
How many more unit cubes will he need to completely fill the prism?
11
20
25
36
He needs 20 more unit cubes to completely fill the prism
How to determine the number of unit cubes?The dimension of the prism is given as;
4 by 3 by 3
The volume is calculated as:
Volume = 4 * 3 * 3
Volume = 36
He has already filled 16 units.
So, the units remaining is
Remaining = 36 - 16
Evaluate
Remaining = 20
Hence, he needs 20 more unit cubes to completely fill the prism
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You are building a brick patio. the length of the patio is (x+11) feet.
the total area of the patio can be represented by x^2+14x+33. write an expression for the width of the patio
The expression that represents the width of the patio is (x+3) feet
Calculating areaFrom the question, we are to determine the width of the patio
The area of the patio = Length of the patio × Width of the patio
From the given information,
Length of the patio = (x+11) feet
Area of the patio = x^2+14x+33 = x²+14x+33
Putting the parameters into the formula,
x²+14x+33 = (x+11) × Width of the patio
∴ Width of the patio = (x²+14x+33) / (x+11)
First, we will factor x²+14x+33
x²+14x+33
x²+11x+3x+33
x(x+11) +3(x+11)
(x+3)(x+11)
Thus,
Width of the patio = [(x+3)(x+11)] / (x+11)
∴ Width of the patio = (x+3) feet
Hence, the expression that represents the width of the patio is (x+3) feet
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what is the difference between squaring and taking the square root ?
Answer:
Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value.
Step-by-step explanation:
Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.
Help please thanksssssssssss
Answer:
what is your from my from is province philippines
The value of x is 50% more than the value of t.
the value of y is 10% less than the value of w.
x = y
work out t/w
Answer:
To hard sorry
Step-by-step explanation:
heyyy.... can someone pls help asap. Rearrange the formula to write r in terms of P and pi.
[tex]p = 2r + \pi \: r[/tex]
Step-by-step explanation:
p = 2r + pi×r
p = r(2 + pi)
r = p/(2 + pi)
Answer:
r = [tex]\frac{p}{2+\pi }[/tex]
Step-by-step explanation:
p = 2r + πr ← factor out r from each term
p = r(2 + π) ← divide both sides by (2 + π )
[tex]\frac{p}{2+\pi }[/tex] = r
wyatt has a square garden. he adds 3 feet to one side and 1 foot to the other and now it is a rectangle with an area of ft^2 what are the new dimensions of the garden
Answer:
The new dimensions are 6 ft and 4 ft.
Step-by-step explanation:
Let x = side of original square.
The sides are increased by 3 ft and 1 ft, so the new side lengths of the rectangle are
x + 3 and x + 1
The area of the rectangle is length × width.
area = (x + 3)(x + 1)
area = x² + 4x + 3
The area is 24 ft².
x² + 4x + 3 = 24
x² + 4x - 21 = 0
(x + 7)(x - 3) = 0
x + 7 = 0 or x - 3 = 0
x = -7 or x = 3
x + 3 = 3 + 3 = 6
x + 1 = 3 + 1 = 4
The new dimensions are 6 ft and 4 ft.
Find the value of x.
Answer:
x=36
Step-by-step explanation:
2x+2x+70+78+68=360
4x+216=360
4x=360-216
4x=144
x=144/4=36
The radius of a circle is 13 ft. Find its area in terms of pi.
Answer:
The area of the circle would be 530.93 sq ft.
Step-by-step explanation:
The formula is A = π r². We know that the radius or r is 13, meaning that the new equation is A = π 13². 13 to the second power is 169 meaning that the formula would now be A = π(169). 169 times π is 590.93 getting you your answer. I hope this helped! :)
Leg = 11 meters, Hypotenuse = 15 meters
Answer:
10.19
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]a^{2}+b^{2}=c^{2}[/tex]
Substitute the numbers given:
[tex]11^{2}+b^{2}=15^{2}[/tex]
[tex]121+b^{2}=225\\ b^{2}=225-121\\ b^{2}=104\\ \sqrt b^{2}= \sqrt{104} \\ b=10.19[/tex]
There are eleven divers on a swim team. If the team can only send four divers to a competition, how many ways can they send four
If the team can only send four divers to a competition. Then the number of the ways will be 330.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
There are eleven divers on a swim team. If the team can only send four divers to a competition.
Then the number of the ways will be
Number of ways = ¹¹C₄
Number of ways = 11! / [(11 - 4)! x 4!]
Number of ways = 330
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The Perimeter of the triangle is 141cm work out value of p
By definition of perimeter and consecutive side, we conclude that the side lengths of the triangle with perimeter of 141 centimeters are 46, 47 and 48 centimeters.
How to determine the lengths of the side of a triangle
The three sides of a triangle are consecutive if and only if they are represented by three consecutive natural numbers. The perimeter is the sum of the three side lengths, whose formula is presented below:
x + (x + 1) + (x + 2) = 141
3 · x + 3 = 141
3 · (x + 1) = 141
x + 1 = 47
x = 46
By definition of perimeter and consecutive side, we conclude that the side lengths of the triangle with perimeter of 141 centimeters are 46, 47 and 48 centimeters.
Remark
The statement is complete, the correct statement is the following:
The triangle has three consecutive sides and its perimeter is 141 centimeters. Work out the value of each side.
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factor completely 4a^3b^5-18a^2b^3+8a^3b^3
The factored expression of the expression 4a^3b^5 - 18a^2b^3 + 8a^3b^3 is 2a^2b^3(2ab^3 - 9 + 4a)
How to factor the expression?The expression is give as:
4a^3b^5 - 18a^2b^3 + 8a^3b^3
Factor out 2
2(2a^3b^5 - 9a^2b^3 + 4a^3b^3)
Factor out a^2b^3
2a^2b^3(2ab^3 - 9 + 4a)
Hence, the factored expression of the expression 4a^3b^5 - 18a^2b^3 + 8a^3b^3 is 2a^2b^3(2ab^3 - 9 + 4a)
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Please help I’m begging you!!
Answer:
Here is the ans ...hope it helps:)
use the tables below to find (p+q)(2).
The value of the composite function (p + q)(2) is 1
How to evaluate the function?The function expression is given as:
(p + q)(2)
As a general rule
(p + q)(x) = p(x) + q(x)
Substitute 2 for x
(p + q)(2) = p(2) + q(2)
From the table, we have:
p(2) = 3 and q(2) =-2
So, we have:
(p + q)(2) = 3 - 2
Evaluate
(p + q)(2) = 1
Hence, the value of the composite function (p + q)(2) is 1
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Answer: (p+q)(2)=1
Step-by-step explanation:
Edge
It costs $363 to make 90 bags of cotton candy and $440 to make 200 bags of cotton candy.
a) find the cost equation.
Answer:
363=90bags
then you look into it and say
440=200bags
What is the quotient if -3/8 and -1/3
[tex]\left(- \dfrac 38 \right) \div \left(-\dfrac 13 \right)\\\\\\=-\dfrac 38 \times (-3)\\\\\\=\dfrac 98[/tex]
Find the measure of the missing angle.
112°
a
The measure of angle b is 112° and the measure of angle c is 68°
Calculating the measures of anglesFrom the question, we are to determine the measures of the missing angles
From the diagram,
b = 112° (Vertically opposite angles)
∴ b = 112°
Also,
112° + c = 180° (Sum of angles on a straight line)
c = 180°- 122°
∴ c = 68°
Hence, the measure of angle b is 112° and the measure of angle c is 68°
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write an equation of the line that passes through (-6, 6) and is parallel to the line y = -2x + 2.
Answer:
y = -2x - 6
Step-by-step explanation:
We know that the slopes of the lines are equal when the lines are parallel to each other.
So, the equation of the given line is y = -2x + 2.
Here,
y = mx + c
y = -2x + 2
slope ⇒ m ⇒ -2
Therefore, the slope of the new line will be ( - 2 ).
And now we have to find the y-intercept ( c ).
For that let us use the given coordinate.
( -6 , 6 ) ⇒ ( x , y )
To find the y-intercept we have to make c the subject of the equation y mx + c.
Also, we have to replace m with ( - 2 ) as the slope of the new line is -2.
Let us solve it now.
y = m x + c
6 = -2 × -6 + c
6 = 12 + c
6 - 12 = c
-6 = c
Now we have found that,
m ⇒ - 2
c ⇒ -6
And now let us write the equation of the line.
y = m x + c
y = -2x - 6
Find the volume of the pyramid
Step-by-step Explanation:
the volume of a pyramid is:
volume = (1/3) • base_area • height
(area = length • width)
(area) • (height) = (volume)³
Example:
area = 12cm² (12 cm squared)
height = 4cm
12 • 4 = 48cm³ (48 cm cubed)
Answer:
area: 6 • 8 = 48(1/2) = 24cm²
height: 12
volume: 24 • 12 = 288cm³(1/3) = 96cm³
I kinda need an explanation on how to solve this.
Answer:
36.
Step-by-step explanation:
There were 10 elephants that were marked. Only 4 of those were counted. The other 26 were new elephants. Because of this, we know that there were 6 other elephants that were not counted. There were the 30 counted, and the other 6. Add those and you get 36.
Answer:
75 elephants
Step-by-step explanation:
This sort of population study assumes that the probability of catching any particular elephant is the same as for any other.
__
We are given that there is a population of 10 painted elephants, of which 4 of them are caught in a sample of 30 elephants. We know the total population of painted elephants is 10/4 = 2.5 times the number caught in the sample. This suggests the total population of elephants is 2.5 times the sample size.
estimated population = 2.5 × 30 = 75 . . . elephants
what is 2x-45y=22 when y=21
answer:
483.5
step by step explanation:
2x-45y=22
2x-45(21)=22
2x-945=22
2x =22+945
2x=967
x=483.5
can someone help me out?
The factor if the root is 2 is x - 2 and the factor if the root is -3 is c + 3
Factors of a polynomialAccording to the question, we are to find the factors of the polynomial expression
Given the polynomial expression
y = x² + x - 6
Factorize
y = x² + 3x - 2x - 6
y = x(x+3)-2(x+3)
y = (x-2)(x+3)
Hence the factor if the root is 2 is x - 2 and the factor if the root is -3 is c + 3
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Which of the following transformations will result in an image that maps onto itself?
A. rotate 180 degrees counterclockwise and then reflect across the y-axis
B. reflect across the y-axis and then reflect again across the y-axis
C. rotate 90 degrees counterclockwise and then rotate 270 clockwise
D. reflect across the y-axis and then reflect across the x-axis
If we reflect across the y-axis and then reflect again across the y-axis , it will give result an image that maps onto itself , Option B is the right answer.
What are the rules of Transformations ?The reflection of the point (x,y) across the x-axis is the point (x,-y), across the y-axis is the point (-x,y). , across the line is the point (y, x)
The 90 degree counterclockwise rotation of a point (x, y) is the point (-y, x)
The 180 degree counterclockwise rotation of a point (x, y) is the point (-x, -y)
The 270 degree clockwise rotation of a point (x, y) is the point (-y, x)
Therefore on application of these rules
For Case A
The point will be (-y , x)
For Case B
The point will be (x,y)
Therefore Option B is the answer.
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answer please hahahahhaha
[tex]\dfrac{5-i}{4+3i}=\dfrac{(5-i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{20-15i-4i-3}{16+9}=\dfrac{17-19i}{25}=\dfrac{17}{25}-\dfrac{19}{25}i[/tex]
Simplify please help me with this question
Answer:
a^4
Explanation:a^2×a^3= a^5(a^2+3)
a^5/a= a^4(a^5-1)
Which rule describes a translation 3 units down?
A (x, y) → (x+3, y + 3)
B (x, y) → (x, y - 3)
(x, y) → (x, y + 3)
D (x, y) → (x, -3y)
B; the y axis is what moves up and down