The product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².
What is the product?Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,
[tex]p=a\times b[/tex]
Here, (a, b) are the real numbers.
The binomial equation given in the problem is,
[tex]a+ 3[/tex]
The second equation given in the problem is,
[tex]-2a^2 +15a+ 6b^2[/tex]
The product of these two equations are,
[tex]p=(a+3)\times (-2a^2 +15a+ 6b^2)\\p=-2a^3+15a^2+6ab^2-6a^2+45a+18b^2\\p=-2a^3+9a^2+45a+6ab^2+18b^2[/tex]
Thus, the product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².
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Answer:
OPTION C
−2a3+9a2+45a+6ab2+18b2
Step-by-step explanation:
100 on edg im swag like tht
What is the perimeter of a 5 by 12 triangle?
Answer:
The perimeter of the triangle is 30 units.
Step-by-step explanation:
So
[tex]x^2[/tex]= [tex]5^2\\[/tex]+[tex]12^2[/tex]
[tex]x^2[/tex]= 25+144
[tex]x^2[/tex]=169
[tex]x^2\\[/tex]=[tex]\sqrt 169[/tex]
[tex]x[/tex]=13
The greatest side / hypotenuse of the triangle = 13
The perimeter of a triangle = Sum of all sides
5+12+13
30 units
Which image below is an equilateral triangle?
Triangle A
Triangle B
Triangle C
Triangle D
Answer:
A
Step-by-step explanation:
The definition of an equilateral triangle is one that has equal angles and equal sides. Of all of the pictures, Triangle A is the only one to have equal length sides.
Makes the equation 6x – 14 + 3(2x – 1) = 5 – 2(x – 10) true? *
Bodmas 6x+14= 9x -14×1x=14-10=4 x=10
PLEASE HELP!!!!
NO LINKS!!!
In the circle below, find the measure of arc ED. Only input the number for
the answer. *
A
B
52°
C
E
D
Answer:
arc ed is 38 degrees
Step-by-step explanation:
dc is 90
bc is 52
ad is 180
90 + 52 = 142
180 - 142 = 38
ab (38) is the same as ed
ab = ed
ed = 38
Answer:
142
Step-by-step explanation:
the whole circle is 360 degrees.
90+52=142
180-142=38
AB=38 is the same as DE.
90+52+38+38=218
360-218=142.
My geometry teacher doesn't really teach so I need help!
A.) g(x)=x^2 -3; find g(3)
How do I solve this? I think I'm mostly confused on what I'm supposed to do with the (x).
Answer:
g(3) = 6
Step-by-step explanation:
The right side of the equation is the part with all the information for the doing of the math.
x^2 - 3 means square the number and then subtract 3.
On the left side of the equation is the g(x). g(x) or f(x) or k(x) is literally just y. Someone could ask what is f(x)? It is y.
What is g(x)? It is y.
What is g? It is the name of the function. So instead of saying ..."the thing where you square a number and then subtract 3..." you can just say "g". Now the (x) beside g DOESNOT mean times, bc sometimes parenthesis means times. THIS IS NOT TIMES!
The (x) is like a billboard. Tells you who will be starring as x in the work on the right side of the equation.
If you see g(x)=x^2-3
then whatever is in the ( ) on the left, put that in the place of x on the right.
g() = ^2 - 3
g(12) = 12^2 - 3
g(-7) = (-7)^2 - 3
or like your question
g(3) = 3^2 - 3
do the calculation
g(3) = 9 - 3
g(3) = 6
done! Hope this helps!
The sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab 2. if one addend is –5a2b2 12a2b – 5, what is the other addend? 15a2b2 – 20a2b 6ab2 – 4ab 7 5a2b2 – 20a2b2 7 5a2b2 4a2b2 6ab – 4ab – 3 –15a2b2 20a2b2 – 6ab 4ab – 7
The other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.
What is polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The sum of two polynomials is,
[tex]10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2[/tex]
The one polynomial addend is,
[tex]-5a^2b^2 +12a^2b - 5[/tex]
Let suppose the other polynomial addend is f(a,b). Thus,
[tex](-5a^2b^2 +12a^2b - 5)+f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)[/tex]
Isolate the second polynomial as,
[tex]f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)-(-5a^2b^2 +12a^2b - 5)\\f(a,b)=10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2+5a^2b^2 -12a^2b + 5[/tex]
Arrange the like terms as,
[tex]f(a,b)=10a^2b^2+5a^2b^2 - 8a^2b -12a^2b+ 6ab^2 - 4ab + 2+5\\f(a,b)=15a^2b^2- 20a^2b + 6ab^2 - 4ab + 7[/tex]
Hence, the other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.
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Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?
Answer:
Dilate by a scale factor of 0.5 with the origin as the center of dilation.
Rotate 90° clockwise about the origin
Step-by-step explanation:
Polygon ABCD:
A = (-2, 4)B = (-8, 2)C = (-4, 8)D = (-2, 6)Dilate by a scale factor of 0.5 with the origin as the center of dilation (pink polygon on attached diagram).
This means multiply the x and y values of the points by 0.5:
A → (-1, 2)
B → (-4, 1)
C → (-2, 4)
D → (-1, 3)
Rotate 90° clockwise about the origin: (x, y) → (-y, x)
A' = (-2, 1)
B' = (-1, 4)
C' = (-4, 2)
D' = (-3, 1)
So the transformations are:
Dilate by a scale factor of 0.5 with the origin as the center of dilation.Rotate 90° clockwise about the origin.Solve the system of equations by elimination:
2 - 5y = 1
2x + 5y = 17
Answer:
X = 8 And y = 1/5
Step-by-step explanation:
add equaction i and education ii,
2 -5y = 1
2x +5y = 17
------------------
2+2x = 18
or, 2x = 18 - 2
or X = 16/2
or X = 8
Again from equation i,
2 - 5y = 1
or, -5y = 1 - 2
or, -5y = -1
or, y = -1/-5 (cut the subtraction sign)
or, y = 1/5
You had 90 books on your shelf. You decided to donate 20%. How many books were donated? How many do you have left?
1. 30 donated and 88 left
2. 24 donated and 72 left
3. 18 donated and 64 left
4. 18 donated and 72 left
Triangle DHI is translated to the left 6 units and up 5 units up. What are the new coordinates for point D'?
Question 19 options:
(3, -2)
(-1, 2)
(-2, 3)
(-3, 2)
Answer:
c=(-2,3)
Step-by-step explanation:
hope u get it right
For a research study, 64 marmots were tagged and set free. Later, the researchers
returned to the site and found 36 tagged marmots out of the 900 marmots they counted. To
the nearest whole number, what is the best estimate for the marmot population?
Answer:
1067
Step-by-step explanation:
[tex] \frac{36}{64} = \frac{600}{ m} [/tex]
m=total amount of marmots
cross multiplication-
36×M = 64×600
[tex] \frac{64 \times 600}{36} [/tex]
=1066.666667
=1067 marmots
8 packets of candy costs rs 340? What is the cost of 15 packets of candy?
Answer:
637.5 or 637.50
Step-by-step explanation:
what is negative 2 - 2/3?
Answer:
-2.66666666667
or just
-2.67
Step-by-step explanation:
In general, what does it mean for a transformation to be a rigid motion? Explain.
Answer:
A rigid motion is when an object is moved from one location to another and the size and shape of the object have not changed. Two figures are congruent if and only if there exists a rigid motion that sets up a correspondence of one figure as the image of the other.
Hope u like it
Are
Right triangles are a subcategory of triangle
Yes or no
I need help please, You survey a random sample of 75 students at DPMS. Of those students, 30 said their favorite type of music is rap. Out of 1600 students at DPMS, predict the number of students whose favorite type of music is rap.
The predicted number of students is an illustration of ratios
Of the 1600 students, 640 are expected to have a rap as their favorite type of music
How to predict the number of students?The given parameter can be represented using the following ratio:
Ratio = Rap : Total Students
So, we have:
30 : 75 = Rap : 1600
Express as fraction
30/75 = Rap/1600
Multiply both sides by 1600
Rap = 640
Hence, 640 of the 1600 students are expected to have a rap as their favorite type of music
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What is the square root of 45?
Step-by-step explanation:
=3√5
thank me later....
60,582,876+85,632,895
Answer:
answer 100%100 is 146215771
what point can be used to create a right triangle the āb as its hypotenuse
what is equivalent to x - 7 = 10
Answer:
17-7=10
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
17-7=10
helppppp please i need help
Step-by-step explanation:
to gat everything you have to find the Area.
to get the area you have to multiple the number 2 tims
Which of the following is a composite number?
13
15
17
23
Answer:
15
Step-by-step explanation:
15= 3*5, so not prime
Which statement compares the absolute value of -1/2 and 2/5
Answer:
i have no idea
Step-by-step explanation:
Please help me with this quick!
Answer:
y = -4x+7 is the equation simplified and answer choice A is the right answer.
Step-by-step explanation:
Your equation: y - 6 = -4(x+1)
Your Objective: You need to simplify the original equation and find another equation that is equivalent to the original equation.
Let's focus on the -4(x+1) side first.
This needs to have the distributive property applied.
Take -4 and multiply it by x and 1.
You should have -4x+1
Your equation now:
y - 6 = -4x+1
We want y to be by itself.
So add 6 to both sides.
y = -4x+1+6
Use PEMDAS
y = -4x+7
The first answer choice "A" is correct.
6. A festival is renting out booths to vendors for $55 for one day. There are 65 vendors and the festival occurs on Friday, Saturday, and Sunday. If the vendors participate on all the days, how much money will be collected by the festival from the vendors?
Answer: $10,725
Step-by-step explanation:
First, we'll find the money for all the vendors on one day.
65 * $55 = $3,575
Next, Friday [1], Saturday [2], and Sunday [3] is three (3) days. We will multiply $3,575 by 3.
$3,575 * 3 = $10,725
$10,725 will be collected from by the festival from the vendors.
What is the difference between a positive and negative correlation???
SHORT ANSWER
Answer:
For example, when two stocks move in the same direction, the correlation coefficient is positive. Conversely, when two stocks move in opposite directions, the correlation coefficient is negative. -- Credit Investopedia
Step-by-step explanation:
Can you answer them for me in a simple way so I can finish learning for my test who ever does it I appreciate there hard work ?
Thank you
Answer:
13:192 in2
Step-by-step explanation
with the pythagoras theorem you can find the base =6
base x height /2= area =24
two triangles=24.2 =48
square one side =12
area=12.12=144
area of the shape = 144+48=192
Using the pythagorean theorem, we can calculate the base of the right triangle to be 6 (1 triangle)
-> The triangle's base length is 12.
So, the square's length is also 12.
We can now calculate the area of the figure : 12 x 12 + 12 x 8 : 2 = 192 in2
The sets of numbers 3, 4, 5 and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples! (5 points)
Sara has a box of 12 greeting cards. The cards are equally divided into 3 different designs of butterflies, shells, and flowers. Sara likes all the designs. So, she reaches into the box and randomly selects a card. Which Three statements are correct?
The probability of picking a butterfly design when Sara has a box of 12 greeting cards is 1/3.
How to compute the probability?Your information is incomplete as the statements aren't given. Therefore, an overview will be given.
From the information, Sara has a box of 12 greeting cards. The probability of picking a butterfly design will be:
= 4/12 = 1/3
The probability of picking a butterfly or flower design will be:
= 4/12 + 4/12
= 8/12
= 2/3
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NAME:
6. This equation is the conversion formula to change the units for measuring
temperature from degrees Fahrenheit to degrees Celsius.
C = (F-32)
Which expression best describes the variables C and E?
A C varies inversely to F
B. C is dependent on F.
Fis dependent on C.
D. Fvaries inversely to C.
7. At a farmer's market, strawberries are priced at 4pounds for $8.