Answers
Given:
(a) [tex]12a^2b^2c, 15a^3b^3c[/tex]
(b) [tex]2^3\cdot 3^2\cdot 7\cdot 11\text{ and }2^2\cdot 3^3\cdot 5\cdot 7[/tex]
To find:
The GCF.
Solution:
(a)
We have,
[tex]12a^2b^2c, 15a^3b^3c[/tex]
The factor forms are
[tex]12a^2b^2c=2\cdot 2\cdot 3\cdot a\cdot a\cdot b\cdot b\cdot c[/tex]
[tex]15a^3b^3c=3\cdot 5\cdot a\cdot a\cdot a\cdot b\cdot b\cdot b\cdot c[/tex]
Now,
[tex]GCF=3\cdot a\cdot a\cdot b\cdot b\cdot c[/tex]
[tex]GCF=3a^2b^2c[/tex]
Therefore, the GCF is [tex]3a^2b^2c[/tex].
(b)
We have,
[tex]2^3\cdot 3^2\cdot 7\cdot 11\text{ and }2^2\cdot 3^3\cdot 5\cdot 7[/tex]
GCF is the product of common prime factors with least power.
[tex]GCF=2^2\cdot 3^2\cdot 7[/tex]
Therefore, the GCF is [tex]2^2\cdot 3^2\cdot 7[/tex].
Related Questions
Find the remainder when 2x^3 + 15x^2 + 31x + 12 is divided by (x-1)
Answers
Answer:
1/
2 3 15 2 31 12
2 1 14 -12 43
__________________
2 1 14 -12 43 -31
so the answer is r=-31
Answer:
remainder = 60
Step-by-step explanation:
Given f(x) divided by (x - h) then the remainder is f(h)
f(x) = 2x³ + 15x² + 31x + 12 , then
f(1) = 2(1)³ + 15(1)² + 31(1) + 12
= 2 + 15 + 31 + 12 = 60 ← remainder
A hot air balloon went from an elevation of 6,039 feet to an elevation of 3,288 feet in 42 minutes. What was its rate of descent?
Answers
Answer:
65.5 feet per second
Step-by-step explanation:
In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...
6,039 - 3,288 = 2,751 ft
Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.
2,751 ft / 42s = 65.5 ft/s
Finally we can see that the rate of descent was 65.5 feet per second
What’s the volume of this cube?
Answers
Answer:
Formula: V = a^3
a = 2in
Input: V = a^3 = 2^3 = 8
Step-by-step explanation:
If the triangle are similar, write a similarity
statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.
Explanation
Answers
Answer:
The triangles are similar due to AAA
Step-by-step explanation:
'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.
Then the triangles are similar due to AAA
True or False Exponential Growth occurs when the same number is added to
the consecutive output values.
Answers
Answer:
False
Step-by-step explanation:
Because you're not supposed to add to the output values, you need to multiply the output values.
it’s false
please Help me i'm timed
Answers
Answer:
X=28
Step-by-step explanation:
4x+248=360
112=4x
x=28
Answer:
28
Step-by-step explanation:
Ten cards numbered 1-10 are placed in a hat.What is the probabiliy of randomly drawing a card with an even number then a card with a number equal to five if the firdt card iis replaced
Answers
Answer:
1/ 20
Step-by-step explanation:
Given :
Cards = {1,2,3,4,5,6,7,8,9,10}
Even number = {2,4,6,8,10}
Probability (drawing an even number) :
Number of even / total. Number of cards
5 / 10 = 1/2
Card with number, 5 :
P(card numbered 5) = 1/10
Since they are independent events :
P(even number) * P(card numbered 5)
1/2 * 1/10 = 1/20
write a polynomial in standard form that represents the area of the shaded region.
Answers
Then expand
2x^2 +10x -9x -45
Simplify
2x^2 +x -45
After substituting, what is the first step when evaluating (4y+9)/7 when Y = 8
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
A. Add 4 and 9.
B. Multiply 8 by 4.
C. Divide 9 by 7.
D. Divide 4 by 7.
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
Answers
Answer:
B. Multiply 8 by 4 is the answer
Use the volume formula to find the volume of the prism.
A. 21 cubic units
B. 27 cubic units
C. 42 cubic units
D. 9 cubic units
Answers
Answer: A
Step-by-step explanation:
Ax
the supplement of a 65° angle has a measure of
Answers
Answer:
115 degrees
Step-by-step explanation:
supplementary angles add up to 180 degrees, so if x is the angle you're trying to have you get:
[tex]x + 65 = 180\\x = 115[/tex]
plz help!!!! i’ll mark brainliest!!
Answers
A store has a 20% off sale on pants. With this discount, the price of one pair of paints is $15.20. What was the original price of the pants?
Answers
Find the value of x and the measure of the angle labeled 3x.
A. x= 14; angle measure is 30°
B. x = 10; angle measure is 42".
C. x = 14; angle measure is 42"
D. x = 10; angle measure is 30°
Answers
Answer:
D
Step-by-step explanation:
3x and 30 are vertically opposite angles and congruent, then
3x = 30 ( divide both sides by 3 )
x = 10 , thus
3x = 3 × 10 = 30°
x = 10 ; angle measure is 30° → D
Answer:
the answer is D, x= 10;angle measure is 30°
Consider the system of equations.
8x+2y=8
y= −4x+4
The system has blank solutions.
SELECT CHOICE
no,
infinitely many,
one.
Answers
then both equation r same after we re arrange it so no result
Find the length of the indicated
side of the similar figure.
x = [?]
Enter the number that belongs in the green box.
Answers
x=12
In a similar the sides of the figure are in proportions. Therefore we can conclude that 16/12=x/9
Then just solve for the equation!
12x=144
x=12
Please give Brainlliest!
Answer:
12
I hope this helps!
Harold cut 18 1/2 noches of ropero that was 60 inches long how much is the length of the remaining rope un inches written un decimals f From
Answers
Answer:
41.5
Step-by-step explanation:
If you do 60- 18.5 (1/2 = 0.5), you get about 41.5 inches left of the rope
11 ounces of tomato soup has 70 calories. How many calories are in 22
ounces of soup? *
Answers
Answer:
140 ounces
Step-by-step explanation:
We use ratio and proportion.
[tex]\frac{11}{22} =\frac{70}{x}[/tex]
Cross multiply, and you get:
11x = 1,540
Divide both sides by 11. Thus:
140 ounces.
Answer:
140
Step-by-step explanation:
70/11 = 6.363636364
6.363636364 * 22 = 140
Students in a class were asked to name their favorite type of soup. The results are shown in the circle graph. How many times more students prefer tomato soup than prefer French onion soup? French onion=0.06% Tomato=33%
Answers
Answer:
5.5 times
Step-by-step explanation:
0.33/0.06=5.5
determine if f (x) = - x^3 + 4x^2 +7x - 6
Answers
Find the area of the shape shown below
Answers
Answer: 15
Step-by-step explanation:
3*3=9
4*3/2=6
9+6=15
Answer:
The area is 15 units squared
Simplify (4y - 3x - 2) - (7y + 4x + 3)
Answers
Answer:
-7x - 3y -5
Step-by-step explanation:
Answer:
-7x - 3y - 5
Step-by-step explanation:
In this question, you will simplify the expression given.
Solve:
(4y - 3x - 2) - (7y + 4x + 3)
Use the distributive property.
4y - 3x - 2 - 7y - 4x - 3
Combine like terms.
4y - 3x - 2 - 7y - 4x - 3
-7x + 4y - 2 - 7y - 3
-7x - 3y - 2 - 3
-7x - 3y - 5
Since we can't simplify further, your final answer would be -7x - 3y - 5
I need help ASAP pleaseeeeee
Answers
Answer: area of smaller is 18 and larger is 45 so the answer is 27
Step-by-step explanation:
please help me if you can please
Answers
Answer:
hello! :) have a good day!
Exact Form:
x= 87/35
Decimal Form:
x= 2.48571428
Mixed Number Form:
x= 2 17/35
graph the line please help
Answers
5
Evaluate the expression when x = 3 and y = 6
The product of 8 and a number x
Answers
Answer:
46
Step-by-step explanation:
First, we must write the mathematical form for "the product of 8 and a number x":
8
×
x
Then "6 more than this" would be:
(
8
×
x
)
+
6
So, to evaluate for
x
=
5
we substitute
5
for
x
and calculate:
(
8
×
5
)
+
6
→
40
+
6
→
46
Question 4 20 pts The measure of an interior angle of a regular polygon is 120°. Find the number of sides.
Answers
Answer:
6
Step-by-step explanation:
180(n-2) / n = 120
180n - 360 / n = 120
180n - 120n = 360
60n = 360
n = 6
El largo de una sala es 2 metros más grande que su ancho. El área es de 80 m?. ¿Cuánto mide de largo? Cuánto mide de ancho?
Answers
Answer: Translation:
The length of a room is 2 meters greater than its width. The area is 80 m ?. How long is it? How wide is it?
Step-by-step explanation:
explain the arrangements of the atoms, I already have the first part done
Answers
Step-by-step explanation:
The ongoing arrangement of metal atoms in a three-dimensional regular ordered pattern is known in chemistry as a lattice structure. A simple model of an atom is a central atomic nucleus with electrons arranged in shells at different distances from the nucleus.
5x = 4x + 7 .....................................
Answers
Answer:
x=7
Step-by-step explanation:
do the math lol
5x=4x+7 subtract the 4x from both sides
-4x -4x
————-
1x=7 which is the same thing as x=7
