Answer:
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
Step-by-step explanation:
Least Common Multiple
We are given the polynomials
[tex]5m^7+ 35m^6+50m^5[/tex]
[tex]-20m^5-80m^4+100m^3[/tex]
Find the common factors of each polynomial, first the coefficients:
5 = 5
35 = 5*7
50 = 5*5*2
The common factor with the least exponent; 5
Now for the variables:
[tex]m^7, m^6, m^5[/tex]
The common factor with the least exponent; m^5
LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]
Similarly:
20 = 2*2*5
80=2*2*2*2*5
100 = 2*2*5*5
Common factor of the coefficients: 2*2*5=20
Common factor of variables: [tex]m^3[/tex]
LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
What single percentage change is equivalent to a 7% increase followed by a 22% increase?
Step-by-step explanation:
You can see hier - Percentage Change Calculator
Work out angle BXC.
Give a reason for each angle you work out.
Answer:
∠ BXC = 70°
Step-by-step explanation:
∠ XBC and ∠ AXY are corresponding angles and are congruent, then
∠ XBC = 55°
Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.
∠ BXC = 180° - (55 + 55)° ← angle sum of triangle
∠ BXC = 180° - 110° = 70°
The measure of angle BXC is 70°
What s transversal?"It is a line that passes through two lines in the same plane at two different points."
What are parallel lines?"These are the lines in the same plane that are at equal distance from each other and never meet."
What are isosceles triangle?"It is a triangle having any two sides equal in length."
For given example,
We can observe that XY and BD are parallel lines and AB is the transversal.
Here,
∠AXY = ∠XBC ..............(Corresponding angles)
⇒ ∠XBC = 55°
In figure, for ΔXBC the sides XB and XC are equal.
So, ΔXBC is an isosceles triangle.
We know, for isosceles triangle, angles opposite to equal sides are equal in measure.
⇒ ∠XBC = ∠XCB
⇒ ∠XCB = 55°
We know, the sum of all angles of the triangle is 180°.
⇒ ∠XBC + ∠XCB + ∠BXC = 180°
⇒ 55° + 55° + ∠BXC = 180°
⇒ 110° + ∠BXC = 180°
⇒ ∠BXC = 70°
Therefore, the measure of angle BXC is 70°
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Help please ASAP please I’ll mark you as brainlister
Answer:
a = 4
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
hypotenuse = a
opposite = 2√3
adjacent = b
theta = 60°
the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a
[tex] \sin(60) = \frac{2 \sqrt{3} }{a} [/tex]
[tex] \frac{2 \sqrt{3} }{ \sin(60) } = a[/tex]
[tex]4 = a[/tex]
[tex]a = 4[/tex]
What is F.O.I.L??? (Math question)
Answer:
F.O.I.L is a method of solving quadratic equations.
P.S, i love the pics.
Plz mark brainliest!!
Write the equation of the line that passes through the point (-3, 5) and has a slope of
7.
Answer:
m=7
X1= -3
Y1=5
Y-Y1=m(X-X1)
Y-5=7(X-(-3))
Y-5=7(X+3)
Y-5=7X+21
Y=7X+21+5
Y=7X+26
WILL GIVE BRAINLIST PLEASE HURRY
Answer:
The smallest angle is the angle shown by 3x - 17 which ends up being 49°.
Step-by-step explanation:
The angles of a triangle add up to 180 degrees. We can write an equation and solve for x.
75 + (2x + 12) + (3x - 17) = 180
~Combine like terms
70 + 5x = 180
~Subtract 70 to both sides
5x = 110
~Divide 5 to both sides
x = 22
Using what we found for x, solve for the missing angles.
2x + 12
2(22) + 12
44 + 12
66
3x - 17
3(22) - 17
66 - 17
49
Best of Luck!
Gabriella went shopping for a new video game. The listed price of the video game was $47, but the price with tax came to $51.23. Find the percent sales tax.
Answer:
The anser is 9
Step-by-step explanation:
Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $6.75. How much
would Marco spend on 2 bags of cat food?
Answer:
6.75/3=2.25
2.25 per bag
2.25x2=4.5
Step-by-step explanation:
$4.50 for 2 bags
if you dont mind, i just need to know what is the final answer in standard form of the equation. please!
Answer:
I'm pretty sure it's (x-1)*(5x+8)*(3x^4-2x^2+4x-8)
Step-by-step explanation:
Brainliest to right answer!
Answer:
2/3.
Step-by-step explanation:
Sana makatulong
Find the average of -1/8,3/4,3/4,-1/2
Answer:
7/32Step-by-step explanation:
Sum is:
-1/8 + 3/4 + 3/4 - 1/2 =-1/8 + 6/4 - 1/2 =-1/8 + 12/8 - 4/8 =(-1 + 12 - 4)/8 = 7/8Number is 4
Average is:
sum/number =7/8 : 4 =7/32
At the beginning of the school year, Bradley bought a new box of 120 crayons. At the end
of the year, only 10% of the crayons are still sharp. How many of Bradley's crayons are
still sharp?
Answer:
12
Step-by-step explanation:
120 divided by 100 = 12
12 multiplied by 10% =12
Find the angle represented by x. (rounded to the nearest tenth of a degree)
Which is an example of a statistical question?
|
|How old am 1?
How old is the teacher?
How old will I be after my next birthday?
How old are the students ín math class?
Answer:
Question 4 is a statistical question aka answer D
Step-by-step explanation:
Correct on edge
You make 9 quarts of tomato sauce from 6 baskets of tomatoes.
What is the ratio of quarts to baskets in simplest form?
Answer:
3/2
Step-by-step explanation:
The ratio of the quarts of tomatoes to the number of the baskets. in the simplest form is 3:2.
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given that, You make 9 quarts of tomato sauce from 6 baskets of tomatoes.
We need to find the ratio, between quarts of tomatoes and number of the baskets.
There are 9 quarts of tomato for 6 baskets,
Therefore, the required ratio will be = quarts of tomato : number of the baskets.
= 9 : 6
= 3 : 2
Hence, the ratio of the quarts of tomatoes to the number of the baskets. in the simplest form is 3:2.
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Need help with this math question!
Answer: "YOUR ON PROBLEM ONE !"
Step-by-step explanation:
Find the product:
(xy)^2 (x^2y^2)^2
Answer:
x^6y^6
Step-by-step explanation:
Answer:
x^6 y^6
Step-by-step explanation:
Solve.
-2 1/3 - (-5)
Answer:
2.66666666667
Step-by-step explanation:
Answer: fraction: 8/3
Step-by-step explanation: mixed number: 2 2/3
A rectangular book measures 3 x 5. What is the length of its
diagonal?
Solve for v.
19v – 18 = 16 + 17v
Answer:
v= 17
Step-by-step explanation:
Start with the given equation.
19v – 18 = 16 + 17v
Move -18 to the other side, and swap it's sign.
19v = 16 + 18 + 17v
Move 17v to the other side and swap it's sign.
19v - 17v = 16 + 18
Combine like terms.
2v = 34
Divide by 2v.
v = 17
Answer:
v = 17
Step-by-step explanation:
Given
19v - 18 = 16 + 17v ( subtract 17v from both sides )
2v - 18 = 16 ( add 18 to both sides )
2v = 34 ( divide both sides by 2 )
v = 17
someone help. find the value of a and b
whoever solves this with explanation gets brainliest
dont scam
Can anyone solve this for me? Ty:)
Answer:
2x^2 + 6x + 2
Step-by-step explanation:
5 + 3x - x^2 + (3x^2 - 5x + 4 + 8x - 7) =
= 5 + 3x - x^2 + 3x^2 + 3x - 3
= 2x^2 + 6x + 2
Can someone please help me? I need to get 10 of these right and I don’t understand them
9514 1404 393
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
About Algebra
All of Algebra is based on a few simple rules:
adding 0 doesn't change anythingmultiplying by 1 doesn't change anythingdoing the same thing to both sides of an equation doesn't change the values of the variablesanything can be substituted for its equalWhen we solve equations by substitution, we make use of these facts.
__
About Substitution
Generally, substitution in equation solving is done for the purpose of eliminating a variable from the equation. That usually means you want to write an expression for one variable in terms of other variables.
Finding the Expression to Substitute
In this set of equations, the variables are x and y. We can substitute for y an expression involving x, or we can substitute for x an expression involving y. These equations are written in such a way that either method works as well as the other.
Let's choose to substitute for y. This means we need an equation of the form ...
y = <some expression involving x>
The first equation makes it easy to get that. If we add y (to both sides, see rule 3 above), we get ...
5x -y +y = 4 +y
5x = 4 + y . . . . . . . . . simplified
Subtracting 4 (from both sides) gets us the form we want.
5x -4 = 4 -4 + y
5x -4 = y . . . . . . by rule 4 above, we can use (5x-4) anyplace you see y
Using the Expression to Substitute
Now, we have an expression for y that we can use in the second equation. There, y is multiplied by 4, so we need to be sure to multiply the whole expression by 4:
-x + 4(5x -4) = 3 . . . . . . substituted for y in the second equation
-x +20x -16 = 3 . . . . . use the distributive property to eliminate parentheses
19x -16 = 3 . . . . . . collect terms
This has a constant (-16) where we don't want it, so we can add 16 (to both sides) to get rid of it.
19x -16 +16 = 3 +16
19x = 19 . . . . simplify
Now, we can divide by 19 (to both sides) to get x by itself.
(19x)/19 = 19/19
x = 1 . . . . almost done; we still need to find y
Finishing Up
Using the equation for y that we used for substitution, we can find y from our value of x.
y = 5x -4 = 5×1 -4 = 5-4
y = 1
So, the solution is x = 1, y = 1, or (x, y) = (1, 1).
_____
Additional comment
In this set of equations, both variables (x and y) appear with coefficients of 1 (actually, -1). This makes it easy to solve for an expression that can be substituted for the variable. In systems of equations that you want to solve by substitution, it usually works well to start by looking for a variable with a coefficient of 1 (or -1). Use that to write the substitution expression as we did here.
__
Alternate Solution
If you use a variable with a coefficient other than 1 to write the substitution expression, you end up with fractions. That's OK if you're comfortable with arithmetic using fractions. It generally requires more care.
For example, we could solve the first equation for x:
x = (4 +y)/5
Substituting that into the second equation gives ...
-(4 +y)/5 +4y = 3
-4/5 -y/5 +4y = 3
(3 4/5)y = 3 4/5 . . . . . add 4/5 (to both sides), collect terms
Now, you get to divide by 3 4/5 to get ...
y = (3 4/5)/(3 4/5) = 1
Fortunately, in this case, we can see the numerator and denominator are identical, so the division result is 1. If it weren't you'd be faced with dividing mixed numbers--not always a student's first choice of fun math operations.
x = (4 +1)/5 = 1 . . . . finishing up
[tex] \sqrt{7 \times \frac{1}{9} } - \sqrt[3]{ \frac{297}{11} } [/tex]
Step-by-step explanation:
[tex] \sqrt{7 \times \frac{1}{9} } - \sqrt[3]{ \frac{297}{11} } \\ = \sqrt{ \frac{7}{9} } - \sqrt[3]{27} \\ = \frac{ \sqrt{7} }{3} - 3 \\ = \frac{ \sqrt{7} - 9}{3} [/tex]
I ALREADY ASKED THIS QUESTION BUT SINCE NO ONE ACTUALLY HELPED ME IM ASKING AGAIN BC I REALLY NEEDA TURN IT IN SO PLEASEEE HELP!!
A 20 foot ladder is placed against a wall at a 75 degree angle with the ground. The wall is perpendicular to the ground.
PART A: How high on the wall, in feet, will the ladder reach? Round your answer to the nearest tenth. Show your work.
PART B: What is the distance, in feet, from the wall to the base of the ladder? Show your work.
Answer:
A. 19.3ft B. 5.2ft
Step-by-step explanation:
So the ladder leaning against the wall forms a triangle. The hypotenuse of
triangle is the ladder (20) and the angle given between ladder an ground is 75 degrees. Use trig to find the height of the wall which is the leg of the triangle.
Sine of Angle is opposite side/hypotenuse
Cosine of Angle is adjacent side/hypotenuse
so Sine of 75 degrees = Wall height/20
Wall height = 20 times Sine of 75 degrees
Sine of 75 degrees = .9659
20 times (.9659) = 19.3ft
So now use Cosine to find the other leg of the triangle (the distance between the bottom of ladder to the wall)
Cosine of 75 degrees = Distance wall to base of ladder / 20
Cosine of 75 degrees = .2588
20 times (.2588) = 5.2ft
kiersten is 6ft tall. She is standing in front of a tree and notices her shadow. If her shadow is 9 feet away from her and the shadow of the tree is 84 feet away from the tree, how tall is the tree?
If kiersten is 6ft tall. She is standing in front of a tree and notices her shadow and her shadow is 9 feet away from her. The height of the tree is 56 feet.
How to find the height?Given data:
kiersten height = 6ft tall
Shadow = 9 feet away
Shadow of tree = 84 feet
The equation that will be use to find the height is 6/9= x/84
Let x represent the tree's height
So, let solve for x
6/9= x/84
Cross multiply:
9x = 6(84)
9x = 504
Divide both side by 9x
x= 504/9
x = 56 feet
Therefore we can conclude that the height of the tree is 56 feet.
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Write a short free verse poem describing the panda bear in the image.
Answer:
Its another day at the zoo
As people take photos of me
No wonder their crazy
I am just eating
My delicious great bamboo!
The cost to manufacture x chairs can be represented by the function
C(x) = 36x. Circle the pair of numbers (one in each box) that correctly
completes the statement about the function.
If C(63) = 2268, then (0, 6, 63, 378) chairs cost $(6, 189, 378, 2,268)
Answer:
It means that it requires 2268 to manufacture 63 chairs, (because it costs 36 to manufacture one chair).
Step-by-step explanation:
Hello will you help me with this?
Answer:
A. 432=18x
B. 22-see explanation
C. 24
D. See if your rounded answer and the actual answer are close.
Step-by-step explanation:
A. He buys a new phone for $432, and pays each month. We will use the variable x, and "x" will represent how many months he pays. It says that he pays $18 per month, so the equation would be 432=18x.
B. We need to isolate x, and to do this we have to divide 432 by 18. To approximate this answer, round 432 to 440 and 18 to 20. Now, divide 440 by 20. We get 22, so this will be the estimation.
C. Divide 432 by 18. We get 24.
E. You can see if it is reasonable if they are close in value.
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
1 and 2 are rectagles and 3 is not
Step-by-step explanation:
