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 g. 45° 45°
[tex] 3\sqrt{2} [/tex]
Write your answer in simplest radical form, units
Answers
Answer:
sin45=3√2/g
g=3√2/(1÷√2)=3×√2×√2=3×2=6units
Answer: 6 (the math sign that’s like a checkmark i thinks it’s square root) 2. So like 6/2 you get the point.
Step-by-step explanation: I just had this problem on ixl and it gave me the answer
Triangles are similar Find the value of x.
Please i need help Thank you in advanced
Answers
28 1/3
Step-by-step explanation:
The scale factor is 5/3
Multiply 17 by 5/3.
28 1/3
Answer:
x=28.33 or 28 1/3
Step-by-step explanation:
12/17=20/x
12x=340
x=28.33
Given A=
What is the value of matrix B if A + B = C
Answers
Answer:
A
Step-by-step explanation:
We know that 8+3x= x
solve for x
8= -2x
-4 =x
The only answer that has -4 is A
HELP ME PLEAAAAAAAAAASSSSSSSSE
Answers
Answer:
jwjsjsjwujksikwpqñk1972
The coordinates of the vertices of △UVW are U(−2,−1), V(2,−1), and W(2,−8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.
Answers
Answer:
UV = 4; VW = 7, UW ≈ 8.06
m∠V = 90°, m∠U ≈ 60°, m∠W ≈ 30°
Step-by-step explanation:
Using the distance formula, find the length of UW⎯⎯⎯⎯⎯⎯⎯.
UW=(2−(−2))2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
Simplify.
UW=(4)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√
Square.
UW=16+49‾‾‾‾‾‾‾√
Simplify.
UW=65‾‾‾√
Use a calculator to approximate.
UW≈8.06
Therefore, UW≈8.06.
Using the distance formula, find the length of UV⎯⎯⎯⎯⎯⎯.
UV=(2−(−2))2+(−1−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
Simplify.
UV=(4)2+(0)2‾‾‾‾‾‾‾‾‾‾√
Square.
UV=16+0‾‾‾‾‾‾√
Simplify.
UV=16‾‾‾√
Simplify.
UV=4
Therefore, UV=4.
Using the distance formula, find the length of VW⎯⎯⎯⎯⎯⎯.
VW=(2−2)2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
Simplify.
VW=(0)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√
Square.
VW=0+49‾‾‾‾‾‾√
Simplify.
VW=49‾‾‾√
Simplify.
VW=7
Therefore, VW=7.
The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. The length of segment U V is 4 units. The length of segment V W is 7 units. The length of segment U W is 8.06 units.
Notice that UW2=UV2+VW2. So, by the Converse of the Pythagorean Theorem, △UVW is a right triangle.
Since VW⎯⎯⎯⎯⎯⎯ and UV⎯⎯⎯⎯⎯⎯ are perpendicular, m∠V=90°.
Therefore, m∠V=90°.
By the definition of tangent, tan∠U=VWUV.
Take the inverse tangent of both sides.
m∠U=tan−1(VWUV)
Substitute 7 for VW and 4 for UV.
m∠U=tan−1(74)
Use a calculator to calculate the inverse tangent.
The figure shows a calculator screen on which the inverse tangent of seven fourths is calculated. The result of the calculation is 60 point 2 5 5 1 1 8 7.
m∠U≈60°
Therefore, m∠U≈60°.
The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. Angle V is a right angle. Angle U measures 60 degrees.
The acute angles of a right triangle are complementary by the corollary of the Triangle Sum Theorem.
So, m∠U+m∠W=90°.
Substitute 60° for m∠U.
60°+m∠W≈90°
Subtract 60° from both sides.
m∠W≈90°−60°
Simplify.
m∠W≈30°
Therefore, m∠W≈30°.
-8= -4+x
Solve for x
Answers
Answer:
-4 + x = - 8
x = - 8 +4
x = - 4
hope it helps :-
Answer:
-4=x or x=-4
Step-by-step explanation:
Move -4 to the other side by adding 4 on both sides:
-8+4=4-4+x
-4=x or x=-4
Hope this helps!
I REALLY NEED AN ANSWER FAST! Which statement about the diagram is true?
A. m1 m3 + m4
B. m1 + m2 m2 + m3 + m4
C. m2 = m3 + m4
D. m1 m4
Pick one of the answers
Answers
Answer:
D
Step-by-step explanation:
To keep it short, refer to triangle exterior angle theorem.
Edit: If you want the full explanation,
A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.
Meaning that
measure of angle 1 equal the measure of 3 and 4 combined.
B. is wrong they are equal to each other because angle 2 is equal to angle 2
angle 1 is equal to angle 3 and 4
So they are equal
C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong
D. is right since measure of angle 4 and angle 3 add up to angle 1, angle 4 would be lesser than angle 1.
Answer:
d
Step-by-step explanation:
If three points are coplanar, they must be collinear. Since the answer is false, state a counterexample.
Answers
Answer:
Collinear points are points that lie on a line. Any two points are always collinear because you can always connect them with a straight line. Three or more points can be collinear, but they don't have to be. … Any two or three points are always coplanar
Step-by-step explanation:
Answer:
They could be on different lines or on no line, but in the same plane.
Step-by-step explanation:
Hope This Helps!!
(brainliest please, if possible)
Need help with the rule transformation
Answers
[tex]T(x,y)=(x+3,y-2)[/tex]
Hope this helps.
help please !!! it's 6th grade math
Answers
Answer:
$150
Step-by-step explanation:
$30 x 3 = 90
$20 x 3 = 60
90 + 60 = $150
hope this helps! (:
Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket
Find the slope, y-intercept and write the equation for this Linear Relationship.
Answers
Answer:
Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.
obtenha os zeros da função
[tex]f(x) = 2x {}^{2} + 32[/tex]
Answers
Someone plz help me I will give brainliest:)
Answers
"If we leave now," she said. "We'll be right on time."
"Do you have dear Mr. Henshaw? Alice, ask the clerk."
Blvd.
add ness to strange making it strangeness
I think that the broken tv is the subject
Answer:
1) "If we leave now" she said, "We'll be right on time.
2) "Do you have deer, Mr. Henshaw?" Alice asked the clerk.
3) blvd.
4) Er (Strang-er)
5) Television
Step-by-step explanation:
Hope this Helps!!:D
Anyone, please help me pretty please
Answers
Answer:
The answer is D
Step-by-step explanation:
Answer:
D i think. if not im very srry
Step-by-step explanation:
Which of the following coordinate pairs make the equation x-9y=12 true? A (3,-1) B (0,-4/3) C (0,12) D (12,0) (There are multible answers.)
Answers
Answer:
Burun yardımı lazım ders programlı
Step-by-step explanation:
Lise pitirdim üventisiyi bitirdim
olve for x: 3(x + 1) = −2(x − 1) + 6.
Answers
-2(x-1)+6=-2x+2+6=-2x+8
3x+3=-2x+8
X=1 because 3(1)+3=6 and -2(1)+8=6
The rectangle has an area of 128 square inches and a width of 8 inches. Find the perimeter of the rectangle.
Answers
The answer is 48 square inches as the perimeter.
The perimeter of the rectangle is 48 inches.
What is rectangular perimeter?The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.
Given:
The rectangle has an area of 128 square inches and a width of 8 inches.
That means, the length,
= area of the rectangle / the width of the rectangle
= 128/8
= 16 inches.
The perimeter of the rectangle,
= 2 (length + width)
= 2 (16 + 8)
= 48 inches.
Therefore, the perimeter is 48 inches.
To learn more about the rectangular perimeter;
https://brainly.com/question/22109593
#SPJ2
The table shows the number of tropical cyclones that formed during the hurricane
seasons over a 12-year period.
a. Find the probability to predict whether a future tropical cyclone in the Northern
Hemisphere is a hurricane. Round your answer to the nearest tenth.
about
%
b. Find the probability to predict whether a hurricane is in the Southern Hemisphere
Round your answer to the nearest tenth.
about
1%
Answers
Answer:
A.) is 46.2
B.) is 58.1
Step-by-step explanation:
Gambarlah sebuah lingkaran dengan jari jari 2,5 cm. Lalu gambarlah 3 buah sudut keliling yg menghadap busur yang sama
Answers
Step-by-step explanation:
isidhxibdofeixeosgzifisvsoshzibdihddgd
Write the linear equation in slope-intercept form given the following:
(-3, 7) and (6, -8)
Answers
Answer:
y = - [tex]\frac{5}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)
m = [tex]\frac{-8-7}{6+3}[/tex] = [tex]\frac{-15}{9}[/tex] = - [tex]\frac{5}{3}[/tex] , then
y = - [tex]\frac{5}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (6, - 8) , then
- 8 = - 10 + c ⇒ c = - 8 + 10 = 2
y = - [tex]\frac{5}{3}[/tex] x + 2 ← equation of line
what 5/8x + 1/2 (1/4x + 10)?
Answers
5x+1/2(1/4+10). Distributive property
5x+x/8+5. Combine like terms
5+3x/4
3/4x + 5
Solution:
5/8x + 1/2 (1/4x + 10)
5/8x + 1/8x + 5
3/4x + 5
What is the slope of the line shown?
A. slope = 3
B. slope = 1/2
C. slope = 2
D. slope = -3
Answers
Answer:
The answer is B - 1/2.
Step-by-step explanation:
Rise over run tells you the slope. You take two points (in this it's (0,-3) and (6,0)) and you see how many units it takes to be on the same y line as the other point. Then you do the same for the x line. You divide the rise (y line) by the run (x line) and that's your slope.
What the rang of the following function is
Answers
Answer:
b
Step-by-step explanation:
Answer:
its 5
Step-by-step explanation:
[tex] \frac{4}{5 } + \frac{3}{20} = [/tex]
Answers
Hope this helps
Answer:
Step-by-step explanation:
[tex]\frac{4}{5}+\frac{3}{20}\\ \\ \frac{4}{5}\left(\frac{4}{4}\right)+\frac{3}{20}\\ \\ \frac{16+3}{20}\\ \\ \frac{19}{20}[/tex]
A recipe uses 3/8 cup of water and 2 cups of flour. Write the ratio of water to flour as described by the recipe. Then find the value of the ratio. PLEASE HELP
Answers
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation:
Your parents are building a pool that is 7 ft wide and 12 ft long. They want to put a walkway around the pool that is x ft wide on all sides. Write a polynomial that represents the combined area of the pool and walkway. Answer needs to be in standard form and use x as your variable.
Answers
Answer:
Combined area = 4[tex]x^{2}[/tex] + 38x + 84
Step-by-step explanation:
The rectangle formed by the pool and walkway is 12 + 2x long and 7 + 2x wide.
Area of the rectangle = lw = (2x + 12)(2x + 7) = 4[tex]x^{2}[/tex] + 38x + 84
Levi resolveu a expressão, 8×(-3)+7×5+(– 10)² ÷ 50, mas apagou o resultado. Resolva você também essa expressão e encontre o resultado. *
Answers
Answer:
61
Step-by-step explanation:
8×(-3)+7×5+(-10)²÷50
apply the PEMDAS rule or (parenthesis, exponent, multiplication,division,addtion,subraction)
24+7×5+(-10)²÷50
24+7×5+100÷50
24+35+100÷50
24+35+2
61
1) If the first coordinate represents the output value and the second coordinate represents
the input value, which two points could NOT be on the graph of the same function?
(output, input)
A. (2.2)
D. (4,7)
B. (2, 3)
E. (7.4)
C (2.4)
Answers
Answer:
A. Yup. A.
Step-by-step explanation:
pls help me solve surds , √75 ,√48, √12,√125,√28. pls help
Answers
√48 = √(4²×3) = √4² √3 = 4√3 = 6.93
√12 = √(2²×3) = √2² √3 = 2√3 = 3.46
√125 = √(5²×3) = √5² √3 = 5√3 = 11.18
√28 = √(2²×7) = √2² √7 = 2√7 = 5.29
√75 = 5√3 = 8.66
√48 = 4√3 = 6.93
√12 = 2√3 = 3.46
√125 = 5√5 = 11.18
√28 = 2√7 = 5.29
Find the perimeter of a rectangle whose length is 25cm and breadth is 18 cm
Answers
Answer:
86 cm is the perimeter
Step-by-step explanation: