The polynomial to be added to –7mn + 2m² + 3n² to obtain 5m² + 2mn - 9n² is: 3m² - 11n² + 9mn.
Addition of PolynomialsLike terms should be combined together when adding polynomials.
Let x represent the polynomial expression that would be added to –7mn + 2m² + 3n² to obtain 5m² + 2mn - 9n².
Therefore:
–7mn + 2m² + 3n² + x = 5m² + 2mn - 9n².
x = 5m² + 2mn - 9n² - (-7mn + 2m² + 3n²)
x = 5m² + 2mn - 9n² + 7mn - 2m² - 3n²
Combine like terms together.
x = 3m² - 11n² + 9mn
Therefore, the polynomial to be added to –7mn + 2m² + 3n² to obtain 5m² + 2mn - 9n² is: 3m² - 11n² + 9mn.
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pls help i will put Brainliest
Answer:
It would have to be cup C.
i buy 3 apples to 4 bananas. If I buy 6 more bananas than apples, how many total pieces of fruit did I buy?
Answer:
42
Step-by-step explanation:
The difference in ratio units is 1, which corresponds to a difference in fruit count of 6. So the total of 7 ratio units must represent 7×6 = 42 pieces of fruit.
At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges for a total harvest of 4179 oranges.
he initial number of trees was 204.
How to find the initial number of trees?The first step to finding the initial number of trees is to write an equation that represents the situation.
T is equal to the initial number of trees.5 trees were removed = t - 5Each tree produces 210 oranges = (t-5) (210)The total of oranges is 41,780 = (t-5) (210)= 41,780Solve the equation:(t-5) (210)= 41,780t-5= 41,780 / 210 t-5 = 198.95t = 198.95 + 5t = 203.9
This number can be rounded as 204.
Note: This question is incomplete; here is the missing section:
Find the initial number of trees.
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what is 8x + 10 ≤ 51 please show work
[tex]\huge\fbox{Hi~there!~:)}[/tex]
Let's solve this inequality! :)
Let's start by subtracting 10 from both sides:
[tex]\rm{8x\leq 51-10}[/tex]
[tex]\rm{8x\leq 41[/tex]
Now, divide both sides by 8:
[tex]x\leq \displaystyle\frac{41}{8}[/tex] (Answer)
Decimal form:
[tex]\rm{5.125}[/tex]
I hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*[/tex] here to help
A plot of land has an area of 33. 75 square feet. Jackson wants to put a 4-foot by 4-foot shed on the land. He can only do this if the height of the trapezoid is at least 4. 5 feet. What is the height of the trapezoid? feet.
Answer:
The area of a trapezoid is
A = (1/2) h (b1 + b2)
where
h is the height
b1 is length of base 1
b2 is the length of base 2
Step-by-step explanation:
What is the value of x? Round to the nearest tenth, if necessary. X = 4 x = 5 x = 6. 2 x = 9. 4.
You can use the Pythagoras theorem to get the value of x.
The value of x is given by
Option C: x = 6.2
What is Pythagoras theorem?The Pythagoras theorem:
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
Using the above theorem to find the value of x for the given figureRefer to the figure attached below.
The triangle BAD is right angled triangle (one angle is 90 degrees).
The length of CD is 13 - x units.
Thus, we have:
[tex]|AD|^2 + |DB|^2= |AB|^2\\\\Length(AD)= \sqrt{169-81} = \sqrt{88} = 2\sqrt{22}[/tex]
For triangle ACD, we have:
[tex]|AC|^2 +|CD|^2 = |AD|^2\\|AC| = \sqrt{(2\sqrt{22})^2 - (13-x)^2} = \sqrt{-81 -x^2 - 26x}\\[/tex]
For triangle ACB, we have;
[tex]|AB|^2 = |AC|^2 + |CB|^2\\81 = (-81-x^2 +26x) + x^2\\\\x = \dfrac{162}{26} = \dfrac{81}{13} \rm \: units \approx 6.2 \: \rm units[/tex]
Thus,
The value of x is given by
Option C: x = 6.2
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Solve the System of Equations
Answer:
x = -4
y = 6
Step-by-step explanation:
[tex]y = \dfrac{-3}{4}x+3----(i)\\\\\\y = \dfrac{-1}{2}x+4-----(ii)\\\\\\Substitute \ y = \dfrac{-3}{4}x+3 \ in \ equation \ (ii)\\\\[/tex]
[tex]\dfrac{-3}{4}x+3=\dfrac{-1}{2}x+4\\\\\\\dfrac{-3}{4}x+\dfrac{1}{2}x +3 = 4\\\\\\\dfrac{-3}{4}x+\dfrac{1*2}{2*2}x+3=4\\\\\\\dfrac{-3}{4}x+\dfrac{2}{4}x=4-3\\\\\\\dfrac{-1}{4}x=1\\\\\\x=1*\dfrac{4}{-1}\\\\x=-4[/tex]
[tex]Substitute \ x = -4 \ in \ equation (i)\\\\y=\dfrac{-3}{4}*(-4)+3\\\\\\y=3+3\\\\y=6[/tex]
The diameter of the moon is approximately one fourth of the diameter of the earth.
Find the ratio of their surface areas
Answer:
Step-by-step explanation:
Area of a sphere is [tex]4\pi d^{2}[/tex]
let d be the diameter of the moon and D be the diameter of the earth
d = 1/4 D
Area of Earth = [tex]4\pi D^{2} = 4\pi (\frac{d}{4} )^{2} = 4\pi \frac{d^{2} }{16} = \pi \frac{d^{2} }{4}[/tex]
Area of moon = [tex]4\pi d^{2}[/tex]
[tex]\frac{Area of moon}{Area of Earth} = \frac{1}{16}[/tex]
In the diagram, a student placed a mirror on level ground, then
stands so that the top of a nearby tree is visible in the mirror. What
is the height of the tree?
In the parallelogram LMNO below, find the bailie of Y! Help!
Answer:
y = 4.5
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. Therefore
5y -8 = 3y + 1 Add 8 to both sides
5y -8 + 8 = 3y + 1 +8 Combine
5y = 3y + 9 Subtract 3 y from both sides.
5y - 3y =3y -3y + 9 Combine
2y = 9 Divide by 2
2y/2 = 9/2
y = 4.5
PLEASE PLEASE PLEASE HELP Determine an equation for the pictured graph. Write your answer in factored form and assume the leading coefficient is...
Answer:
[tex]f(x)=-x(x+2)(x-1)^2[/tex]
Step-by-step explanation:
From inspection, the curve has 3 turning/stationary points, which suggests it is quartic function. In factored form: ax(x + b)(x + c)(x + d)
From inspection, there are 3 roots at: [tex]x = -2, x = 0, x = 1[/tex]
Therefore x, (x + 2) and (x - 1) will be factors.
Whenever a turning/stationary point touches the x-axis, we conclude that a root is repeated at that point. Therefore, from inspection, root x = 1 is a repeated root. So x, (x + 2) and (x - 1)² are factors.
The quartic curve is a "n" shape, which means the leading coefficient is negative. We are told the leading coefficient is + or - 1. Therefore, it will be -1.
Therefore, an equation for the function in factored form is:
[tex]f(x)=-x(x+2)(x-1)^2[/tex]
How do sig figs work for subtration if there are no decimals.
Answer:
In picture
I hope this helps! :)
I put my old notes in the second picture to better help you understand if they don’t please comment on this and I’ll try to help you further.
please help i will give promise
The answer is in the image
solve pls brainliest
Step-by-step explanation:
If we have a fraction raised to a power,
[tex]( \frac{a}{b} ) {}^{n} [/tex]
that equals
[tex] \frac{a {}^{n} }{b {}^{n} } [/tex]
where n is the power we raising to.
Why? Remeber an exponent means that we multiply the base the number of exponent tells us.
For example,
[tex] {5}^{2} = 5 \times 5[/tex]
or
[tex]6 {}^{4} = 6 \times 6 \times 6 \times 6[/tex]
Here this applies to fraction.
If we have fraction 2/3,
and raised to the 3rd power then we get
[tex]( \frac{2}{3} ) {}^{3} = \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} [/tex]
which equals
[tex] \frac{8}{27} [/tex]
which also equals
[tex] \frac{2 {}^{3} }{3 {}^{3} } [/tex]
So we have proved this using numbers so let go back to the problem.
[tex]( \frac{3}{4}) {}^{3} = \frac{27}{64} [/tex]
47 divided by 3 =____ with ____ left over
Answer:
47 divided by 3 =15 with 2left over
Step-by-step explanation:
Answer:
15 with 2 left over
Step-by-step explanation:
3 goes into 47 a maximum of 15 times. Otherwise, it'll go over 47.
3 × 15 = 45Then, the remainder is 47 - 45, which is 2.
Therefore, the answer is 15 with 2 left over.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Help please helpppppppppp
Answer:
2 1/2 inches
Step-by-step explanation:
(See attachment below)
Simplify the following expression:
(i-3)+6i-3(8-i)
Answer:
-27+10i
Step-by-step explanation:
i did it
Answer:
-27+10i
Step-by-step explanation:
Use multiplication to find 2
equivalent fractions,
1/4 1/6
Answer:
2/8 4/16
2/12 3/18
Step-by-step explanation:
The measures of the three angles whose sum is 90° are in the extended ratio 2:3:4. Find the exact angle measures.
This is for 60 points please answer ASAP
Answer:
In 10.2 years the populations will be equal (390 each).
Step-by-step explanation:
See attached graph.
Solve -2x+4y=12 for y. A) y=2x+3 b) y= 1/2x+3 c) -y=-1/2x -3 d) x-2y=-6
Answer:
B y=1/2x+3
Step-by-step explanation:
1st isolate y by its self. 2nd eliminate x form left side. 3rd add +2 to both sides.4th divide both side with 4. then you divide both sides and you should get y=1/2x+3.
what font is the best to use for a go0gle sl!des presentation? just a question
Answer:
Hwello!
Lora is very similar to Times New Roman and has more modern feel. The additional touches are done in calligraphy which gives it a very elegant style but also gives of simplicity and boldness. (i love calligraphy so this is one of my fav fonts)
Ubuntu. This font has a very unique and striking feel. It is sans serif with very minimalistic letters, but the curvy design makes it look modern and intriguing.
Libre Baskerville. This font was designed to work well for main body text.
Lora is my personal favorite but you can choose any one! I like to use a combination of Lora of headings, and times new roman/libre baskerville for main body text!
Have fun!
Graph a line that contains the point (-5,-3) (−5,−3) with a slope of -2
What's the answer please help??
Answer:
See below and attached graph.
Step-by-step explanation:
The slope-intercept form of a straight line equation is y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
With a slope of -2, we can write:
y = -2x + b
To find b, enter the given point (-5,-3) and solve for b:
y = -2x + b
-3 = -2(-5) + b
-3 = 10 + b
b = -13
The equation becomes: y = -2x -13
See the attached graph.
A pair of new shoes were originally $75, but I got them during the sale for 20% off. If the tax in my area is 8.25% , how much did I spend in all ?
You spent $64.95 or $65
Step-by-step explanation:
As per given conditions,
[tex]75 \times (8.25 \: percent+ 1) \times (1 - 20 \: percent)[/tex]
[tex] = > 75 \times( \frac{8.25}{100} + 1) \times (1 - \frac{20}{100}) [/tex]
[tex] = > 75 \times (0.0825 + 1) \times (1 - 0.2)[/tex]
[tex] = > 75 \times 1.0825 \times 0.8[/tex]
[tex] = > 64.95[/tex]
If you round off to the nearest, then you get $65
~Benjemin360
Find the time it would take, in hours, to travel 50 miles.
Answer:
1 hr at the speed of 50 mph
Step-by-step explanation:
If you went 50 mph it would be 1 hour. 100mph = 30min.
The time it will take to cover a given a given distance of 50 miles, assuming a speed of 20 miles per hour is 2 hours 30 minutes
Given Data
Distance = 50 miles
We Need another parameter speed, this will help us determine the exact time it would take to travel given the distance
Let us assume a speed of 20 miles per hour
We know that the expression relating speed, distance and time is given as
Speed = Distance/Time
Substituting we have
20 = 50/t
solving for t we have
t = 50/20
t = 2.5 hours
This is the same as 2 hours 30 minutes
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The figure below is a scale drawing of a
garden. If the scale used is1/4 inch = 3 feet.
then what is the perimeter of the actual
garden?
Answer:
126ft^2
Step-by-step explanation:
1/2 * 7/4 = 7/8 in^2
1/2 here = 6 ft
1 in = 12ft
3/4 = 9 ft
6*21 = area
126ft^2
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24.
Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.
They set up the situation with the equation below, where x is the number of pairs of pants.
Is there a situation in which they pay the same amount for their purchases?
Select all statements that correctly represent this situation.
Answer:
I'm sure that there is a second part love sorry
Draw and label all three side lengths and angle measures of a right triangle that has a 40° angle and a hypotenuse 10 cm long.
Explain how you calculated each missing angle measure and segment length.
Answer:
Right Triangles and the Pythagorean Theorem
1.The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
2.The side opposite the right angle is called the hypotenuse (side c in the figure).
which choices are equivalent to the quotient below check all that apply50 10
Answer: B, D, and F
Step-by-step explanation:
15 x 3.333 = 50 and 3 x 3.333 = 10
50 divided by 10 is 5
25 x 2 = 50 and 5 x 2 = 10
There are 22 animals in the barn. Some are ducks and some are oxen. There are 72 legs in all.
How many of each animal are there?
Answer:
14 oxen8 ducksStep-by-step explanation:
Let x represent the number of oxen. Then the number of ducks is 22-x and the number of legs is ...
4x +2(22 -x) = 72
2x +44 = 72 . . . . . . . simplify
x +22 = 36 . . . . . . divide by 2
x = 14 . . . . . . . . . subtract 22; the number of oxen
22-x = 8 . . . . . the number of ducks
There are 8 ducks and 14 oxen in the barn.
