Answer:
12.3246
Step-by-step explanation:
The equation to be solved is [tex]x^{2} -10=4x[/tex]
Rearranging: [tex]x^{2} -4x-12=0[/tex]
The quadratic formula is one way to solve this equation.
[tex]x=\frac{-b+\sqrt{b^{2} -4ac} }{2a}=\frac{12+\sqrt{12^{2}-4*1*4} }{2*1}[/tex]
Note that only the positive variation of the quadratic formula was used. This is because it is the only variation of this formula that produces a positive result for this equation. This is not always true, so it is best to work both versions of the formula for problems like these.
[tex]x=\frac{12+\sqrt{160} }{2} =\frac{12+4\sqrt{10} }{2}=6+2\sqrt{10} =6+6.3246=12.3246[/tex]
If the negative version of the quadratic equation was used, the final (incorrect) answer would be x= -0.3246.
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
_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:
Simplify 4(12x−14y+3)
Answer:
48x - 56y +12
Step-by-step explanation:
Use the distributive property to simplify
(multiply each number in the parenthesis by 4)
4(12x−14y+3)
(4 * 12x)+ (4 * -14y) + (4*3)
48x - 56y +12
hope this helps :)
please crown me brainliest!!!
The ratio of the number of cups of yellow paint to the number of cups of blue paint that Greg mixed to make a shade of green paint is 2:1.
Part A: Write a sentence to describe the number of cups of yellow paint that Greg mixed with each cup of blue paint. (4 points)
Part B: How many cups of blue paint should Greg add to each cup of yellow paint to make the shade of green? Explain your reasoning. (4 points)
Part C: If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint? (2 points)
(GIVING 15 points)
Answer:
Part A: A ratio of 2:1 means that he uses 2 cups of yellow paint for each cup of blue paint.
-------------------------------------------------------------------------------------------------
Part B: The ratio of yellow to blue is 2:1 = 2/1. So, if for 2 yellow is 1 blue, then for 1 yellow is x:
2/1 = 1/x
x = (1*1) / 2
x = 1/2
For each cup of yellow paint, Greg should add 1/2 cup of blue paint.
-------------------------------------------------------------------------------------------------
Part C: 6 cups cost $54, then 1 cup cost:
54 / 6 = 9
The price per cup of yellow paint is $9.
A. The number of cups of yellow paint that Greg mixed with each cup of blue paint is (1/2) cup.
B. Greg should add 2 cups of blue paint to each cup of yellow paint.
C. The unit price of per cup of yellow paint is 9 dollars.
What is the ratio?The ratio compares similar quantities in simplest form.
Given that the ratio of the number of cups of yellow paint to the no. of cups of blue paint to make a green shade paint is 2:1.
This can also be written as
(yellow paint/blue paint) = (2/1).
∴ 1 cup of yellow paint and 2 cups of blue paint is required to make a green shade of paint.
A. The number of cups of yellow paint that Greg mixed with each cup of blue paint is (1/2) cup.
B. Greg should add 2 cups of blue paint to each cup of yellow paint.
C. The unit price of per cup of yellow paint is (54/6) = 9 dollars.
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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]
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I need it ASAP.
The sum of three numbers is 95. The second number is 7 more than the first. The third number is 4 times the second. What are the numbers?
Answer:
I think the answer is 2,660 i am not really sure but that's my answer sorry if i got it wrong
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.
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Please someone answer fast
The Maya______predicted the end of the world on December 21,2012
Answer: Calendar
Step-by-step explanation:
Basically, the Mayan Calendar was going through cycles, and December 21 2012 was the end of a cycle. It was close to the 13th Bak’tun, but instead of moving towards the next Bak’tun and so on, the Mayan calendar actually reset itself back to 0. But the Mayans did not predict the end of the world, we decided to interpret the calendar that way.
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.
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.
Write the slope-intercept form of the line with a slope of 2 and a
y
-intercept of -4. Include your work in your final answer. Type your answer in the box provided to submit your solution.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept. y=2x-4 is the slope-intercept form of the line with a slope of 2 and a y-intercept of -4.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope intercept form of a line is y=mx+b,
where m is slope and b is the y intercept.
slope-intercept form of the line with a slope of 2 and a y intercept of -4.
m=2 and b=-4
Substitute the m and b value in slope intercept form.
y=2x-4.
Hence y=2x-4 is the slope-intercept form of the line with a slope of 2 and a y-intercept of -4.
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A. 0.15
B. an equal sign
C. a multiplication sign
D. a percent sign
Answer:
C.
Step-by-step explanation:
can someone help me with this I'm stuck
Answer:
you got to subtract 4 from 1
May I please receive help?
Hi there!
We know that:
m∠WXZ = 112°
Since m∠1 is 48° greater than m∠2, we can write an expression:
m∠2 = x°
m∠1 = (x + 48)°
Since both angles sum up to m∠WXZ, we can write this as:
112° = x° + (x + 48)°
Solve for x:
112 = 2x + 48
64 = 2x
x = 32°
Nine times a number more than 8 equals 12.
What is the number?
Pls Help!
Answer:
21
Step-by-step explanation:
what is the y-intercept
Answer: y-intercept=0
Step-by-step explanation: it meets at the origin, so its 0
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
x + 5 ≤ 13
PLEASE help!!!!
Answer:
x ≤ 8
Step-by-step explanation:
x + 5 ≤ 13
x ≤ 13 - 5
x ≤ 8
Feel free to mark this as brainliest! :D
Answer:
x ≤ 8
Step-by-step explanation:
x + 5 ≤ 13 (subtract 5 from both sides)
x ≤ 8
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.
The playing area of a board game is a rectangle with
the length of 14 inches and a width of 20 inches.
What is the area of the board game?
Help how to do it because this is hard
Please help. Geometry!
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 .
Write a formula that shows the dependent of the mass of a piece of cork on its volume note the density of the cork is 0.18 g/cm^3. Then use the formula to find the answer.
The volume of a piece of cork with a mass of 64.8g
Answer:
43.2 grams
Step-by-step explanation:
We will use density formula to solve our given problem:
he mass of a piece of cork with a volume of 240 cm³ is 43.2grams
The formula for calculating the density of a substance with mass "m" and volume "v" is expressed as:
m is the mass of the substance
v is the volume of the substance
Given the following parameters
Density = 0.18g/cm³
Volume = 240cm³
Substitute the parameters into the formula to get the mass:
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.
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.
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 - 4WHICH NUMBER LINE MODEL REPRESENTS THE EXPRESSION: 2.5 + 4.5?
A)
B)
C)
Which of the following is equivalent to 2/5 x 3/8?
A. 3/8 / 2/5
B. 2/5 / 3/8
C. 2/5 / 8/3
D. 5/2 / 8/3
15. Matthew and some friends are going to a concert. They hire a car service for $60 to
drive them to a restaurant for dinner and then to the concert. They divide the $75 cost
of the dinner equally. However, since Matthew's dad provided concert tickets for the
group, the friends agree that Matthew doesn't have to help pay for the car service.
The friends divide this cost equally among themselves. If each friend spends a total of
$30, how many friends went to the concert with Matthew?
A4
B5
C6
D7
Answer:
7
Step-by-step explanation:
i got it correct on my test