1. 12a²b² + -7a²b² + 9a²b²
= 14a²b² (the terms a²b² are like terms so don't look at them, just add 12 + (-7) + 9.
= 14 (ab)² (you can write like this too because both a & b are squared).
2. y² - (-5y²)
= 6y² (subtract -5 from 1, y² is the like term).
(Pythagorean theorem) do the following lengths form a right triangle? (Show steps)
Answer:
yes
Step-by-step explanation:
Pythagorean theorem equation is a²+b²=c²
c is the longest side which is 5. a and b dont matter in this case
3²+4²=5²
9+ 16 = 25..........simply
25 = 25...............true, these numbers form a right triangle
help pls <_> my sister needs it
Answer:
1. 2025
2. 737
3. 1365
4. 866
5. 923
6. 1662
7. 2013
8. 1562
9. 2400
Step-by-step explanation:
These are the answer
Consider the line y=3x-3 .
Find the equation of the line that is parallel to this line and passes through the point(7, 4) .
Find the equation of the line that is perpendicular to this line and passes through the point (7, 4).
Answer:
4.7
Step-by-step explanation:
choose all the pairs of lines that are parallel.
1. line UV and line VY
2.line UX and line WZ
3.line VY and line WZ
4.line YZ and line WZ
5.line UV and line WZ
6.line XZ and line VW
7.line XY and line YZ
Answer:
2.lineUX and lineVY3.lineVY and lineWZHelp would be much appreciated! :)
Answer:
[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}[/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
ExpandingAlgebra II
Polynomial Division
Long DivisionSynthetic DivisionStep-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}[/tex]
Step 2: Long Division
See attachment.
Multiply quotient a and divisor, then subtract from dividend: [tex]\displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}[/tex]Multiply quotient b and divisor, then subtract from new dividend: [tex]\displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}[/tex]Multiply quotient c and divisor, then subtract from new dividend: [tex]\displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}[/tex]Write remainder: [tex]\displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}[/tex]Please excuse the bad handwriting.
help please???!!!!?!!!!??!!?!!!!!!!!
Answer:
b,c,f
Step-by-step explanation:
a is -8
b 8
c 8
d -8
e 1-
f 8
g -8
h -8
plz help me fast Simplify t12/t6
Answer:
t^6
Step-by-step explanation:
when dividing exponents, you subtract (refer to exponent rule)
t^12 - t^6 = t^6
Marguerite is selling space in an advertisement book for a community fund-raising event. Each (1/5) page in the book costs $13.5. What is the cost for (3/5) page.
Answer:
$40.5.
Step-by-step explanation:
if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.
Please help me marking brainless
Answer:
9/12 & 5/12
Step-by-step explanation:
You can easily multiply 4 (the denominator of the 1st fraction) by 3, which is 12
If a triangle has a base of 6 feet and a height of 5 feet, what is the area?
Answer:
15 square feet
Step-by-step explanation:
a = (1/2)bh
a = (1/2) * 6 * 5
a = 3 * 5
a = 15
15 square feet
What are the places in decimals called.
Answer: the tenths place
Step-by-step explanation:
Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?
Answer:
$125 per month
Step-by-step explanation:
If a Japanese company reported an 8.8 percent increase in net profit from last year’s 426 billion yen, what would be this year’s net profit in yen?
Answer:
463,488,000,000
Step-by-step explanation:
8.8% = .088
426,000,000,000 * .088 = 37,488,000,000
426,000,000,000 + 37,488,000,000 = 463,488,000,000
what would the answer be need help
Answer:
The equation would change to be f(x) = 12x + 50
Step-by-step explanation:
The equation given follows the form y = mx + b. In the equation, m = the charge in dollars per person, with x representing the amount of people, and b = the initial reservation fee.
This means that if you change the charge per person, the m value will change, and if you change the reservation fee, the b value will change.
Thus, your new equation will be f(x) = 12x + 50
Who has the best conclusion?
A.Sheryl said the lowest grade was a 70 and the highest grade was a 92.
B.Shania said the highest grade was a 100.
C.Andrea said the lowest grade was a 68 and the highest grade was a 92.
D.Allen said the range of the scores was 32.
Answer:
B. Shania's conclusion is the only accurate one.
Step-by-step explanation:
help asap for brainlist
Given g(x)=−6x+3, find g(−4). To earn full credit, show your work using a method explained in the Orientation.
Answer:
g(-4) = 24 + 3 = 27
Step-by-step explanation:
We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:
g(-4) = -6(-4) + 3, or
g(-4) = 24 + 3 = 27
Answer:
27
Step-by-step explanation:
substitute -4 for x
-6(-4) + 3
24 + 3
27
hope it helps :)
mark brainliest!!
. You want to buy a book worth Php 220.50. You can buy it only by making a sacrifice of not buying a soft drink every day. If soft drinks in your school cost Php15.75, how many days do you need to save before you can buy the book? * A. 13 B. 14 C. 15 D. 16
Answer:
B-14
Step-by-step explanation:
Divide 220.50 by 15.75 and you will get 14
Hope it can help you lovelots
100-3x6+5-4= 63? help me its GEMDAS
Answer:
it's 86
Step-by-step explanation:
100-3x6+5-4
100-15+5-4
85+5-4
90-4
86
EXPAND AND SIMPLIFY
2(5x + 3) - 2(2x-3)
Hey there!
2(5x + 3) - 2(2x-3)
DISTRIBUTE
= 2(5x) + 2(3) - 2(2x) - 2(-3)
= 10x + 6 - 4x + 6
COMBINE the LIKE TERMS
= 6x + 12
Therefore, your answer should be:
6x + 12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
expand the expression, image attached giving brainliest please help
(2m + n) (2n -m)
2m×2n-2m×m+n×2n-mn
4mn-2m^2 +2n^2-mn
4mn-mn-2m^2+2n^2
3mn-2m^2+2n^2
Give the simplified radical form for each side length requested.
Pls answer only if you can explain and if your sure it’s the right answer.
I need help in understanding how to work it myself so please make sure you explain well.
Answer:
See belowStep-by-step explanation:
30×60×90 right triangle has side ratios as:
s : l : h = 1 : √3 : 2, where s- short leg, l - long leg, h - hypotenuse45×45×90 right triangle has side ratios as:
l : l : h = 1 : 1 : √2, where l- legs, h- hypotenuseIf you know one of the sides its easy to find the missing ones.
a) 30×60×90 right triangle
Given l = 12s : 12 : h = 1 : √3 : 2CB = s = 12 / √3 = 12√3/3 = 4√3 AB = h = 2s = 2*4√3 = 8√3b) 45×45×90 right triangle
Given l = √22BC = l = √22AB = l√2 = √22×√2= √44 = 2√11c) 30×60×90 right triangle
Given h = 20√6s : l : 20√6 = 1 : √3 : 2BC = s = h/2 = 20√6/2 = 10√6AC = l = s√3 = 10√6×√3 = 10√18 = 10×3√2 = 30√2How many decimals in multiplication.
Answer:
In multiplication of a decimal by a decimal number we will learn how to find the product of a decimal by another decimal.
To multiply a decimal number by a decimal number, we first multiply the two numbers ignoring the decimal points and then place the decimal point in the product in such a way that decimal places in the product is equal to the sum of the decimal places in the given numbers.
expand and simplify (x-2)(x-3), please help
Answer:
hope it helps you
(•‿•).........
12x+3=6 4x+1=2
what is happening in this step of the equation solving process?
Step-by-step explanation:
12x=6-3
12x=3
12x/12=3/12
x=1/4
4x+1=2
4x=2-1
4x=1
4x/4=14
x=1/4
I you have great day
round 73.03 to the 1 decimal place
Answer:
The answer is 73.0 or just 73
PLEASE HELP!!!!! I NEED THE ANSWER SOON
Two systems of equations are shown:
System A System B
3x + 2y = 3 −x − 14y = 1
−2x − 8y = −1 −2x − 8y = −1
Which of the following statements is correct about the two systems of equations?
A.)The value of x for System B will be one-third of the value of x for System A because the coefficient of x in the first equation of System B is one third times the coefficient of x in the first equation of System A.
B.) The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.
C.) They will have the same solution because they represent the same lines when plotted on the coordinate axes.
D.)They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.
Somebody please help
Answer:
c/ y=20x
Step-by-step explanation:
Simplify the expression: 5+2a - (9+a)
Answer:
a - 4
Step-by-step explanation:
[tex]5+2a-(9+a)\\5+2a-9-a\\a-4[/tex]
Find the slope of the line that passes through (7,1) and (6,8)
Answer:
-7
Step-by-step explanation:
[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7
Thirty-six of 80 marbles are blue. What percent of the marbles are blue?
Answer:
45%
Step-by-step explanation:
The fraction of marbles that are blue is 36/80 = 9/20. To make that a percentage, multiply it by 100%.
9/20 × 100% = 45%
45% of the 80 marbles are blue.