Answers
Answer:
Pretty sure the answer is 9−4√3
[tex]\dfrac{(5-\sqrt 3)(3-\sqrt 3)}{2}\\\\=\dfrac{15 - 5\sqrt 3 - 3\sqrt 3 + 3}{2}\\\\=\dfrac{18 - 8 \sqrt 3}2\\\\=\dfrac{18}2 - \dfrac{8 \sqrt 3}2\\\\=9- 4\sqrt 3[/tex]
Related Questions
Factor completely:
–abc –5ac –4ab –20a
Answers
Answer:
[tex]-a(b+5)(c+4)[/tex]
Step-by-step explanation:
[tex]-abc-5ac-4ab-20\\-a(bc+5c+4b+20)\\-a*c(b+5)+4(b+5)\\-a*(b+5)(c+4)[/tex]
The factor of the given expression is -a(b+5)(c+4)
What is factorization?Factorization in maths is the process of breaking down a number or a mathematical object into smaller or simpler factors that can be multiplied together to get the original number or object
Given is an expression, –abc –5ac –4ab –20a, we need to factor it completely,
-abc -5ac-4ab-20
- a(bc +5c+4b+20)
- ac(b+5)+4(b+5)
- a(b+5) (c+4)
Hence, the factor of the given expression is -a(b+5)(c+4)
Learn more about factorization, click;
https://brainly.com/question/14549998
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What is an equation of the line that passes through the points (6, -3) and
(-6, -5)?
Answers
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).
y is directly proportional to ( x - 4 ) . When x = 16, y = 3. Find y in terms of x.
Answers
The degree measure of each exterior angle of a regular octagon is represented by the expression 7x - 4. SOLVE FOR X.
Answers
Answer:
x = 4/7
Step-by-step explanation:
7x - 4
7x = 4
x = 4/7
Can someone pls help me!
Ms. Failla decides that she wants to give a test on ratios and rates. The test consists of 18 questions. How much time must Mrs. Storz give to her students if she plans that the students can answer the questions at a rate of 3 questions in 7.5 minutes?
Answers
Answer:
Mrs. Storz must give 45 minutes
Step-by-step explanation:
Create a proportion:
t = total time given for all questions
[tex]\frac{3}{7.5} = \frac{18}{t}[/tex]
Cross multiply:
3t = 135
Divide both sides:
3t/3 = 135/3
t = 45
A simple random sample of 30 students was selected from a normally distributed population of high school students. The following confidence intervals were calculated at 90, 95, and 99% confidence levels to estimate the average number of hours of sleep the students got each night. Determine which confidence level goes with each confidence interval. Between 7. 3 and 8. 7 hours of sleep: Between 7. 0 and 9. 0 hours of sleep: Between 7. 2 and 8. 8 hours of sleep:.
Answers
Answer:
between 7.0 and 9.0 hours of sleep
Step-by-step explanation:
got it right
help help ples it due today .
Answers
Answer:
Rises -4 and runs -5
Step-by-step explanation:
So the slope is -4/-5
resolve into factors : a^3 + 35b^3 + (a -b)^3
Answers
Step-by-step explanation:
a^3+35b^3+a^3-b^3
2a^3+34b^3
Answer:
2a^3 + 34b^3 - 3a^2b + 3ab^2
1.) 5/11 = 2.) 6/8 = 3.) 8/13 = 4.) 4/9 = 5.)
p 7/15=
Answers
Answer:
1. 5/11 = five elevenths = 5:11
2. 6/8 = six eighths = 6:8
3. 8/13 = eight thirteenths = 8:13
4. 4/9 = four ninths = 4:9
5. 7/15 = seven fifteenths = 7/15
Step-by-step explanation:
1. To convert numerical fractions into word form, here are a few tips:
Write the numerator of the fraction spelled out exactly as it appears as a number (for example, if the numerator is 5, you spell out the word "five") Write the denominator of the fraction like you would write ranking for a contest (for example, if the denominator is 11, you write it as eleventh)2. To convert a fraction into colon form, here are a few tips:
Remember, fractions are ratios. Ratios can be written as x : y.The ratio compares the numerator to the denominator, having the numerator to the left side of the colon and the denominator on the right side. (For example, if the fraction is 6/8, the colon form is 6 : 8).please answer this box for me i need a lot of help
Answers
Answer: 12
Step-by-step explanation: the denominator is the bottom number, so 6 and 4. The smallest number they BOTH have in common is 12. Hope this helps :)
Answer:
The least common denominator would be 12.
Step-by-step explanation:
Because if you look at each row of multiples, 12 is the smallest number that they both have in common.
See for your self:⤵⤵⤵
1/6 ➡ 6 12 18 24 30
3/4 ➡ 4 8 12 16 20
Hope this helps :)
You jog 623 miles around a track each day. If you jogged that distance 4
times last week, how many miles did you jog? in a fraction
Answers
Answer:
6 2/3 miles times 4
Step-by-step explanation:
Convert the fraction 2/3 to a decimal
2/3 = .67
6.67 miles times 4 = 26.68 miles
or 6x4= 24
2/3+2/3+2/3+2/3 =8/3 or 2 2/3
2 2/3 +24 =26 2/3 miles
Hope this helps, have a nice day/night! :D
find the proabilty of rolling factors of 5 on both sides.
Answers
y=2x+3=
please help me i have test
Answers
[tex] \: \: \: \: \: [/tex]
[tex] = \: \: \: x = - \frac{3}{2 } \\ \\ [/tex]
hope it helpsrefer to attachment
[tex] \: \: \: \: \: [/tex]
For each gallon of gas Sean puts in his truck, the truck will go $\frac{8}{3}$ miles. Suppose Sean's tank is empty, and he puts in $\frac{7}{5}$ gallons. How far can Sean go with his truck?
Answers
Answer:
56/15
Step-by-step explanation:
All we have to do is 8/3 x 7/5 and 8x7 is 56,5x3 is 15
So the answer is 56/15.
Answer:
56/15
Step-by-step explanation:
elena gives following sequence of transformation to show that the two figures are similar by transforming ABCD into EFGD. dialte using center D reflect using the line AE is elenas method correct
Answers
Answer:
Elena is incorrect.
Step-by-step explanation:
In the first step, the figures are supposed to be about the same size. But the reflection over AE does not match them together. The correct line must be vertical and it has to go through point D.
If I'm correct, the scale copy should be 2.
∴/therefore, if it doesn't go through point D, Elena is incorrect.
Mark me brainliest if possible, it's always appreciated! ¯\_(ツ)_/¯
-❤AbqveNatural❤
help its do in 15 mins
Answers
Answer:
Step-by-step explanation: its 7
Find the slope of the line that passes through each pair of points (-7,-6) (3, -6)
Answers
Answer:
0
Step-by-step explanation:
Slope = Change in Y/Change in X
Slope = -6 - (-6)/3 - (-7)
Slope = 0/10
Slope = 0
This is a horizontal line
-Chetan K
Answer:
Let (-7, -6) be (x1, y1)
and (3, -6) be (x2, y2)
The slope can be found with [tex]\frac{y2-y1}{x2-x1}[/tex]
Substitute in values:
[tex]\frac{-6-(-6)}{3-(-7)} =0[/tex]
The slope is 0. (It is a horizontal line.)
In an experiment, the temperature of a sample is measured as 16 degrees Celsius.
If the percent error is 0.75%, how can you report the temperature of the sample using the absolute error and the actual temperature value in degrees Celsius?
-16±0.12
-16±12
-16±0.047
-16±4.7
Answers
Answer: T=16 ± 0.12 ° CA Aw
Step-by-step explanation:
Half-Price books is having a "sidewalk sale" this weekend. The total cost varies directly with
the number of books purchased. Mrs. Cowger bought 17 books for a total cost of $42.50 If
Mrs. Kesler spends $57.50, how many books did she purchase?
O 6 books
O 12 books
O 40 books
0 23 books
Answers
Hope this helps
help me
[tex] \: [/tex]
A C E isoscles ACAR is inscribed in o E If mCR = 1300 Find:
11.m CAR
12. mACR
13. mARC
14. mAC
15. mAR
[tex] \: [/tex]
marking brainlist
with explanation
I will report nonsense answer
need properly answer
[tex] \: [/tex]
Answers
Answer:
#11m∠CAR = (1/2)mCR = (1/2)(130°) = 65°#12 and #13m∠ACR = m∠ARC = 1/2(180° - 65°) = (1/2)(115°) = 57.5° #14 and #15mAC = mAR = 2(m∠ACR) = 2(57.5°) = 115°A shopping mall has $3,368 to spend on new tiles for the floor. If each tile costs $8, how
many tiles can the mall buy?
tiles
Answers
Answer:
421 tiles
Step-by-step explanation:
3368/8=421
Answer:
421 tiles
Step-by-step explanation:
Divide $3368 by $8 to determine the number of tiles the store can purchase:
$3368/($8 per tile) = 421 tiles
There are 549 coins in a bottle.
1/3 of the coins are £1 coins.
164 of the coins are 50p coins.
The rest of the coins are 20p coins.
Work out the total value of the 549 coins in pounds (£).
Answers
Answer:
12,423 i think
1/3 is 183
164x50=8200
549-347=202
202x20=4040
183+8200+4040=12423
Ged can fit six boxes each measuring 1
cubic metre (m') along the length of his
removals van. Two boxes fit across the
width and two boxes high. The
approximate total volume of boxes that will
fit in the van is
m3
Answers
Answer:
24 m3.
Step-by-step explanation:
6 * 2 * 2.
The ratio of pages Kim reads to
minutes that pass is 10:15. How
many minutes will pass if Kim
reads 40 pages?
Answers
Answer:
40:60
Step-by-step explanation:
heres if u need the work,
10:15
40:?
10x4=40
15x4=60
40:60
Answer
she will read for 1 hour
Step-by-step explanation:
:)
A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?
Answers
Hello there! :)
First, let’s find the slope.
We can find it using this formula:
m=y2-y1/x2-x1
m=7-6/8-4
m=1/4
So the slope is 1/4.
Now, we can use the point-slope formula:
y-y1=m(x-x1)
y-6=1/4(x-1/4)
Hope it helps. :)
~MagicalNature
In two or more complete sentences, explain how to use ordered pairs of points in S (x) and g(z) to determine if (2)
and g(x) are inverses of each other
Answers
Answer:
x=2x4=s
Step-by-step explanation:
because x+2x4=s
Please help I’m giving extra points
Answers
She can tell by looking at all the possible solutions. Due to the fact that she can solve this equation multiple ways, Elana knows that there are many solutions to this problem.
I hope this helps! :)
What is the slope of the line that passes through the points (-2,-1) and (2, -3)?
Write your answer in simplest form.
-
Answers
The first three terms in a pattern are shown in the
image below. How many circles would be in the
5th term?
A. 10
B. 15
C. 18
D.20
Answers
Expand the function.
4
f(x)
=
(2x + 3)4
Answers
Answer:
16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
Step-by-step explanation:
Use the binomial expansion theorem to find each term. ∑
∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k
Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4
Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4
Simplify each term.
= 16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81