Use FOIL method...
1. (x^2 + 2xy + y^2)(x+1)
x^3 + 2x^2y + xy^2 + x^2 + 2xy + y^2
Add Like Terms
There are no like terms.
2. x^3 + x2 +2x2y +xy2 + y2 + 2xy
3. (6x -8)(2x -3)
4. (-2x – 1) (9x +2)
5. (2x^2 - 4xy + 2y^2) (3x-4)
6. 6x^3 – 12x^2y + 6xy^2 – 8x^2 + 16xy-8y^2
4) Solve each pair of simultaneous equations.
a. x+y=1 y=2x-8
b. x+y= 19 y=5x+1
c. x+y=-2 y=x-10
5) Solve these simultaneous equations.
3x=y x=y-16
21 p?=u² + 2as
u= 12 a = -3
s= 18
(a) Work out a value of v.
Answer:
6 or -6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex]v^2 = 12^2 + 2(-3)(18)[/tex] [tex]v^2 = 144 + (-6)(18)[/tex] [tex]v^2 = 144- 108[/tex] [tex]v^2 = 36[/tex]Step 2: Take square root of both sides.
[tex]\sqrt{v^2} =[/tex] ± [tex]\sqrt{36}[/tex] [tex]v =[/tex] ± [tex]\sqrt{36}[/tex] [tex]v = 6[/tex] or [tex]-6[/tex]Therefore, the answer is 6 or -6.
You start at (-2, -1). You move up 6 units. Where do you end?
Answer:
(-2,5)
Step-by-step explanation:
Since you're only moving up on the graph then only the Y axis will change and -1+6 is 5.
Answer:
(-2,4)
Step-by-step explanation:
When you move UP it changes the Y axis so you just add whatever number to there. But when you move down it subtracts the number of units your moving.
Nine times a number more than 8 equals 12.
What is the number?
Pls Help!
Answer:
21
Step-by-step explanation:
PLZ HELP!!!!!!!
Identify two angles that are marked congruent to each other on the diagram below. plz answer quickly!!!!!
_A triangle has height 15 in. and area 120 in... What is
the length of its base?
3240000 boooooooooooooooom
Answer:
16 inches
Step-by-step explanation:
What is the equation in point-slope form of the line that passes through the points (7, 5) and (-4, -1)
Answer:
y - 5 = (-6/11)(x - 7)
Step-by-step explanation:
Looking at the points (7, 5) and (-4, -1), we see that x decreases by 11 (from 7 to -4) and y decreases by 6 (from 5 to -1). Therefore, the slope of this line is m = rise / run = -6 / 11.
Start with the point-slope form y - k = m(x - h). Substitute the x- and y-coordinates of one of the given points for h and k in the above form:
y - k = (-6/11)(x - h) => y - 5 = (-6/11)(x - 7)
This is the equation of the line in question, in point-slope form.
The function y=5x+10 represents the total cost y of a group of x members to go paintballing.
What do the independent and dependent variables represent?
Answer:
The independent variable (x) represents the members to go paintballing.
The dependent variable (y) represents the total cost.
Step-by-step explanation:
The y is always dependent on the x. The number of people attending affects the total cost of the trip. The more people attend, the more it costs.
Using measures of center and variability to compare data- quiz answers?
herehopes it helps can i pleaseget brainliest
Answer is YES.
Steps for Comparing a Data Set by Measures of Center & Variation:
Measure of center: a value that describes the center of a set of data. Measures of center include the mean, median, and mode.
Measure of variability: a value that describes how spread out numbers in a data set is. Measures of variability include the range and mean absolute deviation.
Step 1: Calculate the measure of center/variation for each set of data.
Step 2: Compare the two measures of center/variation based on the problem.
Here, we can use both to compare data - quiz answers.
Learn more about measure of center and variability here:
https://brainly.com/question/22321375?referrer=searchResults
#SPJ2
What is the image of the point (0,-2) after a rotation of 90∘
counterclockwise about the origin?
Answer:
-2, 0
Step-by-step explanation:
Answer:
(2,0)
Step-by-step explanation:
yes it is
If 4.2 cups equals 1 liter, how many liters equals 21 cups?
Simplify the problem plss.
Answer:
it is c
Step-by-step explanation:
for an infinite queuing situation, if the arrival rate for loading trucks is 5 trucks per hour, what is the mean time between arrivals?
Using proportions, it is found that the mean time between arrivals is of 12 minutes.
This question is solved by proportions, using a rule of three.In one hour(60 minutes), 5 trucks arrive, thus what is the time necessary for 1 truck to arrive?The rule of three is:
5 trucks - 60 minutes
1 truck - x minutes
Applying cross multiplication:
[tex]5x = 60[/tex]
[tex]x = \frac{60}{5}[/tex]
[tex]x = 12[/tex]
The mean time between arrivals is of 12 minutes.
A similar problem is given at https://brainly.com/question/24342347
Plz helpp it’s due tonight and I don’t hunderstand it!!
Answer:
What is the question? I don't see it... Hmmm
Step-by-step explanation:
Abigail's math teacher finds that there's roughly a linear relationship between the
amount of time students spend on their homework and their weekly quiz scores. This
relationship can be represented by the equation y = 6.2 + 69, where y represents
the expected quiz score and I represents hours spent on homework that week. What
is the meaning of the s-value when y = 91?
The time taken by the student to complete the weekly quiz if she had 91 is 3.55 hours
Given the linear relationship between the amount of time students spends on their homework and their weekly quiz scores expressed as:
y = 6.2s + 69
If the value of y is 91, we need to get the value of "s"
Substitute s = 91 into the function to have:
91 = 6.2s + 69
6.2s = 91 - 69
6.2s = 22
s = 22/6.2
s = 3.55
Hence the value of s when y is 91 is 3.55
Learn more here: https://brainly.in/question/1505040
can someone help me with this I'm stuck
Answer:
you got to subtract 4 from 1
what is the y-intercept
Answer: y-intercept=0
Step-by-step explanation: it meets at the origin, so its 0
A rectangle has perimeter 88 cm and length 36 cm. What is its width?
Performance task trigonometric identities
x = 0
Simplify — x/ 2
x ((((cs•(c2))•x)-2c3sx2ot)+((co•(t2))•x))-((ta•(n2))•—) = 0 2
xtan2 ((((cs•(c2))•x)-2c3sx2ot)+((co•(t2))•x))
Equivalent Fraction:
Rewrite the whole as a fraction using 2 as the denominator :
-2c3sx2ot + c3sx + cxot2 (-2c3sx2ot + c3sx + cxot2) • 2 -2c3sx2ot + c3sx + cxot2 = 0
The equations are solved below using trigonometric identities.
What are trigonometric identities?Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.
[tex]\frac{sin(x)}{1-cos(x)} -cot(x) = cosec(x) \\\\LHS= \\\\=\frac{sin(x)}{1-cos(x)} -cot(x) \\\\=\frac{sin(x)}{1-cos(x)} -\frac{cos(x)}{sin(x)}\\ \\\frac{sin^{2}(x) - (1-cos(x))cos(x) }{sin(x)(1-cos(x))}\\\\=\frac{sin^{2}(x)-cos(x) +cos^{2}(x) }{sin(x)(1-cos(x))}\\\\=\frac{1-cos(x)}{sin(x)(1-cos(x))}\\ \\=\frac{1}{sin(x)} \\\\=cosec(x)\\\\RHS=\\\\=cosec(x)[/tex]
[tex]cosec(x)^{2} - 2cosec(x)cot(x) + cot(x)^{2} = tan^{2}(\frac{x}{2})\\\\LHS= \\\\= cosec(x)^{2} - 2cosec(x)cot(x) + cot(x)^{2} \\\\=( cosec(x) - cot(x) )^{2} \\\\=(\frac{1-cos(x)}{sin(x)}) ^{2}\\\\=(\frac{(1-cos(x))(1+cos(x))}{sin(x)(1+cos(x))}) ^{2}\\\\=(\frac{sin(x)^{2} }{sin(x)(1+cos(x))}) ^{2}\\\\=(\frac{sin(x) }{1+cos(x)}) ^{2}\\\\=(\frac{2sin(x/2)cos(x/2) }{1+2cos^{2}(x/2)-1}) ^{2}\\\\= (\frac{sin(x/2)cos(x/2) }{cos^{2}(x/2)}) ^{2}\\\\= tan^{2}\frac{x}{2}\\\\RHS = \\\\=tan^{2}\frac{x}{2}[/tex]
Learn more about trigonometric identities here
https://brainly.com/question/14746686
#SPJ2
Which steps should be used to find perimeter? Check all that apply
Multiply the perimeter of the original figure by the scale factor
what i the answer to
25(15-0.05)
Answer:
[tex]373.75[/tex]
Step-by-step explanation:
[tex]25\left(15-0.05\right)[/tex]
Subtract:- 15- 0.05= 14.95
Multiply:-
[tex]25\times \:14.95[/tex]
[tex]373.75[/tex]
Lennon has a checking account at Bank of America.
Tuesday he withdrew $130 from an ATM.
Wednesday he deposited $240.
Friday he wrote a check for $56.
more detail pleaseAnswer:
Step-by-step explanation:
Given are the points A(0,1) and B(4,-7). Find an equation (the point-slope form is perfectly acceptable) of the perpendicular bisector of line segment AB
Answer:
y + 3 = 1/2(x - 2)Step-by-step explanation:
Find the slope of the given line using the coordinates of A and B.
The slope:
m = (-7 - 1)/4 = -2Find the midpoint of segment AB:
x = (0 + 4)/2 = 2y = (1 - 7)/2 = -3The perpendicular line has a slope of 1/2 ( opposite-reciprocal of -2) and passes through the point (2, -3).
The equation of this line is:
y - (-3) - 1/2(x - 2)y + 3 = 1/2(x - 2)Slope-intercept form:
y = 1/2x - 4The graph of the linear parent function, f(x), is shown. Which function, g(x), would representa vertical stretch of 2 and a shift to the left of 3?
A. g(x) = 2 (2+3)
B. g(2) = 2 (2-3)
C.g(2) = 21 +3
D.g(z) = 21 - 3
P.S. Please do not post answer in a file.
Answer:
C.g(2) = 21+3
Step-by-step explanation:
Explain e everything
PLEASE HELP i have no idea how to solve this L teacher for being rude when i asked for help
Answer:
I assume your teacher is asking you to prove how lines a and b are parallel. The given is the example: Line l and m are parallel because angles 1 and 2 are congruent. So I assume in the statement box you would write it like the given example and in the reason you would explain that statement. Hope this helps
Jocelyn has 400 pounds of chemical A that she must react with 200 pounds of chemical B to create chemical C for use in an industrial manufacturing process. How many pounds of chemical C will Jocelyn have after the reaction is complete?
Answer This chemical reaction should follow the Law of Conservation of Mass where mass cannot be created nor destroyed. That is, what goes in a system should be equal with what goes out the system. For this problem, the mass of C that is produced assuming there are no by-products should be 600 pounds.
Step-by-step explanation:
Jocelyn will have 600 pounds of the chemical (C) after the reaction is complete
these follows ''law of conservation of mass''
Jocelyn has 400 pounds of the chemical (A) that she must react with the 200 pounds of the chemical (B) to create chemical (C) for use in an industrial manufacturing process. 600 pounds of chemical (C) will Jocelyn have after the reaction are complete.
What is Law of conservation of mass ?By the law of conservation of ''mass states that in the chemical reaction mass is neither created or destroyed.
The chemical reaction in the given case can follow the Law of Conservation of Mass where mass can't be created and destroyed.
Learn more about Law of conservation of mass here https://brainly.com/question/13383562
#SPJ2
Consider the following data set:
0, 10, 12, 3, 13, 7, 2, 5
Find the upper quartile.
Answer:
11
Step-by-step explanation:
The upper quartile Q3 is the median of the upper half of the data.
henry is 7 years older than his brother,ted.the sum of their ages is 23 years how old is each
Answer:
The answer is Henry is 15 and Ted is 8.
Step-by-step explanation:
Step 1: Take 7 away from 23. You will then get 16.
Step 2: Divide 16 by 2. Your answer will then be 8.
8 will end up being Ted's age.
Step 3: Add 7 to 8. Once you do this, you will get Henry's age.
A. 0.15
B. an equal sign
C. a multiplication sign
D. a percent sign
Answer:
C.
Step-by-step explanation:
HZC ~ PEF. If CH = 20, find FP
If it can be determined with is FP
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
According to given expression, we can say that the Triangles HZC and PEF are congruent, Therefore their corresponding sides will be equal.
that is :
CH = FPand value of CH = 20 units
So, FP = CH = 20 units
hence, value of FP can be determined .