The resulting expression from the factorization of 26r³s + 52r^(5) - 39r²s⁴ is; 13r²(2rs + 4r³ - 3s⁴)
We want to factor the algebraic expression;
26r³s + 52r^(5) - 39r²s⁴
Now, we need to first find the highest common factor here and factorize out.
First of all for the letters;
The highest common factor of the letters is r²
Factors of 26 = 1, 2, 13, 26
Factors of 39 = 1, 3, 13, 39
Factors of 52 = 1, 2, 4, 13, 26, 52
The highest common factor for the 3 numbers is 13.
Thus,in total, the highest common factor for the algebraic expression is 13r².
Finally, we have;
13r²(2rs + 4r³ - 3s⁴)
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Ann and Betty shared a sum of money in the ratio 2:3 respectively. Ann Received $120. What was Betty’s share?
Answer:
A:B::2:3
123:x
set up as fractions:
[tex]\frac{2}{3}[/tex] [tex]\frac{120}{x}[/tex] 120*3=360
360/2=180
Betty Received $180
what is the probability
Can someone please help me with this one? Tysm! ^^
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Answer:
What's this question? Oh my gosh!
The interior angle of a regular polygon IS 180°.find the value if its exterior regular polygon
Answer:
Sum of exterior angle is [tex]360^0[/tex]
Value of each exterior angle is [tex]120^0[/tex]
Step-by-step explanation:
Sum of interior angles of a polygon with n sides [tex]=(n-2)\times180[/tex]
Here
[tex](n-2)180=180\\\\n=3[/tex]
Hence the polygon is triangle
Sum of exterior angle is [tex]360^0[/tex]
Sum of one exterior angle
[tex]=\frac{360}{3} \\\\=120^0[/tex]
Aaron and Kevin are on the school golf team. Aaron buys 6 cheap golf balls and 4 expensive ones for $18.00. Kevin buys 4 cheap and 3 expensive balls for $13.00.
The distance between two cities on a map is 6cm. If the scale one the map is 2 cm=50 miles, how many miles apart are the two cities
Work Shown:
2 cm : 50 miles
3*(2 cm) : 3*(50 miles)
6 cm : 150 miles
On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4). What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary. X = y =.
The x and y coordinates of point C are -2.6 and 5.2, respectively
The coordinate of the points are given as:
[tex]A = (-4,8)[/tex]
[tex]B =(2,-4)[/tex]
The ratio is given as:
[tex]m :n = 3 : 10[/tex]
The point at the given ratio is calculated as:
[tex]C = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
So, we have:
[tex]C = (\frac{3 \times 2 + 10 \times -4}{3+10},\frac{3 \times -4 +10 \times 8}{3+10})[/tex]
Simplify
[tex]C = (\frac{-34}{13},\frac{68}{13})[/tex]
[tex]C = (-2.6,5.2)[/tex]
Hence, the x and y coordinates of point C are -2.6 and 5.2, respectively
Read more about line ratios at:
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Answer:
a
Step-by-step explanation:
please help with hegarty algebraic fractions and quadratic equations
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf \dfrac{3}{x} - \dfrac{3}{x + 4} = 1[/tex][tex] \sf \dfrac{3(x + 4) -3x }{x(x + 4)} = 1[/tex][tex] \sf \dfrac{3x + 12-3x }{x(x + 4)} = 1[/tex][tex] \sf 12 = {x(x + 4)} [/tex][tex] \sf {x}^{2} + 4x = 12[/tex][tex] \sf{ {x}^{2} + 4x - 12 = 0 }[/tex][tex] \sf{ {x}^{2} + 6x - 2x - 12 = 0}[/tex][tex] \sf{x(x + 6) - 2(x + 6) = 0}[/tex][tex] \sf(x - 2)(x + 6) = 0[/tex]Hence,
[tex] \sf x = 2 \: \: or \: \: x = - 6[/tex]Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot? Assume y not-equals 0. (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) (x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline) (x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline) (x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline).
Answer:
[tex]\frac{5}{X^{2} } y^{2}[/tex]
Step-by-step explanation:
sorry the Y isn't under the 5 anyway hope this helped
Answer:
A is the answer.
Step-by-step explanation:
(X^7/2)(y^-3/5)
Find the slope of the line that goes through (5,-8) and (-2,2)
Answer:
-1.42857
Step-by-step explanation:
2. Daniel orders sushi from the sushi restaurant. The total bill is $80. He tips the sushi chef 20%.
How much money does the sushi chef get?
Answer:
16
Step-by-step explanation:
(20/100) * 80=16
Answer:
16
Step-by-step explanation:
$20.43 is how much tip was
27% >>> .27
.27 * 75.68 = 20.43 tip
Bonus: $96.11
the bold word are tip but your answer is 16
mark me brinilylist
Confused on both 9 and 10 please help
Someone please help i forgot how to do math aaaaaaaaaa
Answer: Refer to Step-by-step explanation
Step-by-step explanation:
To find the MAD
Step 1 Find the mean of the data.
Step 2 Find the distance between each data value and the mean.
Step 3 Add the distances together from Step 2
Step 4 Divide the sum in Step 3 by the total number of values in the data.
1) MAD = 21.36
2) Mean = 56
MAD = 3.75
3) Mean = 57
MAD = 16.67
60.98 x 62xv Whats v
Write 2^100 as a power with the following base of 32.
Answer:
your answer is 30
Step-by-step explanation:
I have completed the test
What is 1/2 of 14? this is an algebraic expression!!
2x+5(x+1) = -8;
Can someone help me solve this problem step by step please?
Answer:
-13/7
Step-by-step explanation:
2x+5(x+1)=-8
2x+5x+5=-8
7x+5=-8
7x=-8-5
7x=-13
7x/7=-13/7
x=-13/7
Answer:
x = -13/7
Step-by-step explanation:
2x+5(x+1) = -8
2x+5x+5 = -8
7x+5 = -8
7x = -8-5
7x = -13
x = -13/7
what is the equation of the line with slope -7 which goes through the point (2,5)
Answer:
y=-7x+19
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-7(x-2)
y=-7x+14+5
y=-7x+19
The equation of the line with slope - 7 which goes through the point (2, 5) is
y = - 7x - 19.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through points (2, 5) with a slope of - 7.
∴ 5 = -7(2) + b in slope-intercept form.
5 = - 14 + b.
b = - 19.
y = - 7x - 19.
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greg drove 300 miles at a constant speed for 5 hours. the speed limit is 70 miles per hour. was his rate grater than the speed limit?
No.
Step-by-step explanation:To find the rate for how many miles Greg drove for 5 hours, we need to divide 300 by 5:
300 / 5 = 60.
60 miles represents the speed for 1 hour.
60<70.
The inequality indicates that his rate (60 miles per hour) is less than the speed limit.
The area of the triangle below is 5.52 square feet.
What is the length of the base?
Answer:
4.6 ft
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
Fill in the given values and solve for the base.
5.52 = 1/2b(2.4)
5.52/1.2 = b = 4.6 . . . . divide by the coefficient of b
The base is 4.6 feet.
A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each successive bounce is 80% of the previous bounce's height. What would be the height of the 12th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:
0.3 feet
Step-by-step explanation:
2.75(0.8)^x
in which x is the number of bounces after the firts bouce
bouce 12 would mean x=11
2.75(0.8)^11 = 0.2
The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.
Answer:
3cm and 7cm
Step-by-step explanation:
The length is 7cm.
The width is 3cm.
Area = Length × Width = 7cm × 3cm = 21cm²
there is 60 girls and 90 boys in the 7th grade at sycamore middle school of theses students 14 boys and 10 girls write left handed what percentage of the 7th graders at sycamore middle school write left handed
Answer:
16%
Step-by-step explanation:
60+90=150 total students
14+10=24 left handed students
24/150= 0.16 or 16% of the population being left handed
15+25 distributive property
Answer:
(5 x 3) + (5 x 5)
Step-by-step explanation:
hope thats what your looking for
ill make u a brainlist (please answer the question )
Answer:
9. 5 19/70 10. 26 11. 5/12 12. 5/12
Step-by-step explanation:
You don't have to worry about whether the fractions have the same denominator or not. Simply multiply the denominator together. Simplify the resolution fraction if needed. GOOD LUCK.
A cable is 40 decimeters long how long is the cable in meters and be sure to include the correct unit
Answer:
4 m
Step-by-step explanation:
1 m = 10 dm
1 dm = 0.1m
(pls brainliest)
Thank you will give thanks + more + brainliest!!!!
Given the system of linear equations:
{x+6y=6 y= 1/3 x−2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B
Answer:
You must graph this on a graphing site
Step-by-step explanation:
Use one from enternet and type in the equation!!
A, E and B lie on a straight line segment.
C, D and B lie on a straight line segment.
BD = 3m, CD = 15m and AB = 21m.
Work out the length of BE.
Give your answer as a decimal.
The length of line BE on the given line segment is 3.5 m.
The given parameters:
Length BD = 3 mLength CD = 15 mLength AB = 21 mThe sketch of the given line segments is presented in the diagram uploaded.
The length of BE is determined by applying similar triangle theorem as follows;
[tex]\frac{CB}{AB} = \frac{BD}{EB} \\\\\frac{15 + 3}{21} = \frac{3}{EB} \\\\18EB = 63 \\\\EB = \frac{63}{18} \\\\EB = 3.5 \ m[/tex]
Thus, the length of line BE on the given line segment is 3.5 m.
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which equation generates the value in the table
Answer:
A
Step-by-step explanation: