Answer:
Step-by-step explanation:
Rationalize the denominator by multiplying both denominator & numerator by the conjugate of the denominator.
Conjugate of the denominator 1 + √3 is 1 - √3
[tex]\frac{6}{1+\sqrt{3}}=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{1^{2}-(\sqrt{3})^{2}}\\\\=\frac{6(1-\sqrt{3})}{1-3}\\\\=\frac{6(1-\sqrt{3})}{-2}\\\\=(-3)(1-\sqrt{3})\\\\=-3+3\sqrt{3}[/tex]
Which equation is a linear function?
Answer:
y = xStep-by-step explanation:
In general ,A linear function has the form y = ax + b
so ,the functions :
y = √x
y = x²
y = x³
don’t meet the requirements of the definition
therefore none of them is linear.
but y = x is a valid choice (just put a = 1 and b = 0 in the expression y = ax + b)
Do the following points belong to the graph of the function f(x)=13−5x ? (-2,23)
Answer:
Yes!
Step-by-step explanation:
When we have problems like this we just plug them in. We take the -2 and we multiply it by the -5 to get a positive 10. We then add that to the +13 and it equals 23, so it works!
How do you determine if polygons are similar?
Answer:
To find the scale factor, we simply create a ratio of the lengths of two corresponding sides of two polygons. If the ratio is the same for all corresponding sides, then this is called the scale factor and the polygons are similar.
Please help 50 points!!
Answer:
the first one
Step-by-step explanation:
Since x can be any value, -infinity must be less than x because you can always subtract 1 from x. Also, infinity must be more than x because you can always add 1 to x.
Answer:
The third option is the correct answer because it is proving the property.
Thank you
I've answered as fast as I can to answer your question.Hope you understood it.
Pls mark my answer as brainliest and follow me.
Exterior angle equation:
3x= (x + 15) + 43
Answer:
x=29
Step-by-step explanation:
3x=x+58
2x=58
x=29
PLZ HELP!!!!!!!
5. How many real number solutions does the equation have?
0= -4x^2+7x+8
A) two solutions
B) one solution
C) no solutions
D) infinitely many solutions
6. How many real number solutions does the equation have?
0= 3x^2+18x+27
Answer:
5. A) two solutions
6. one solution
Step-by-step explanation:
5. A graph shows the curve has two x-intercepts, so two solutions. You can also figure this by looking at the discriminant:
b^2 -4ac = (7)^2 -4(-4)(8) . . . . a positive number
When the discriminant is positive, there are two real solutions.
__
6. The equation factors as ...
0 = 3(x +3)^2
This will have one real solution at x=-3.
Help please is for Algebra
Answer:
[tex]=\frac{8a+6}{\left(a-3\right)\left(a+3\right)}[/tex]
the third option is your answer
Step-by-step explanation:
[tex]\frac{5}{a-3}+\frac{3}{a+3}\\\mathrm{Least\:Common\:Multiplier\:of\:}a-3,\:a+3:\quad \left(a-3\right)\left(a+3\right)\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=\frac{5\left(a+3\right)}{\left(a-3\right)\left(a+3\right)}+\frac{3\left(a-3\right)}{\left(a+3\right)\left(a-3\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{5\left(a+3\right)+3\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}[/tex]
[tex]\mathrm{Expand}\:5\left(a+3\right)+3\left(a-3\right):\quad 8a+6\\=\frac{8a+6}{\left(a-3\right)\left(a+3\right)}[/tex]
Please help in simplify these expressions
Answer:
1. 2y^2 x 3y
6y^2 x y
6y^3
2. (7x^5) (2x^2)
14x^7
Step-by-step explanation:
Answer:
[tex]2y^2 \cdot 3y\\6y^3[/tex]
[tex](7x^5)(2x^2)\\14x^7[/tex]
What expression represents the volume of the prism, in cubic units?
One-halfx3
One-halfx2 + x
2x3
2x2+ x
Answer:
Its A or 1/2x^3
Step-by-step explanation:
Just took the test
410−x/7 +70=120. please answer fast i will give brainliest
Answer:
Step-by-step explanation:
410-x/7+70=120
-70. -70
410-x/7= 50
-410. -410
-x/7=-360
*7. *7
-x=-2520
x = 2520
Answer:
Your answer is 2520.
Step-by-step explanation:
WILL MARK BRAINLIEST-30 PTS---On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is not necessarily true?
A.
GH = G'H'
B.
G'G = 8 units
C.
m∠HIJ = m∠H'I'J'
D.
m∠HI'J = m∠H'IJ'
Answer:
The question is asking to choose among the following choices that states the equation that is not necessarily true about the said coordinate plane and in my further calculation, the answer would be G'H' = 8 units.
( I think you made a mistake when writing the answer choice for B, because the correct answer is G'H' = 8 units )
Anyways, Hope this helps!
Answer: B
Step-by-step explanation:
What is the slope of the line on the graph?
Answer:
2
Step-by-step explanation:
We can find the slope by
m = (y2-y1)/(x2-x1)
= (4-2)/(-1 - -2)
= (4-2)/( -1 +2)
=2/1
= 2
Answer:
2
Step-by-step explanation:
slope= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of the line
[tex] = \frac{4 - 2}{ - 1 - ( - 2)} \\ = \frac{2}{2 - 1} \\ = \frac{2}{1} \\ = 2[/tex]
Which describes renting?
a) a refundable amount paid in advance to protect the owner from damage or nonpayment
b) using a person’s property for a fee
c) a service such as electricity
d) a written agreement that allows a tenant to use a property for a set period of time
Answer:
d) a written agreement that allows a tenant to use a property for a set period of time.
QUESTION 5 What is the area of the trapezoid?
Answer:
126 in^2
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2) h
A = 1/2 ( 12+16)*9
A = 1/2 (28) *9
= 126
Answer:
126 ^2 in
(12)+(16)/2 * (9)
Area= a+b/s(h)
Step-by-step explanation:
Explain how you can determine how much chicken salad
may be purchased for $52.50.
Answer:
Depending on how much chicken salad can be purchased for $0.50, you multiply that number by $52.50/0.50.
Step-by-step explanation:
Am I correct? If not can someone help me
Answer: you are right
Step-by-step explanation:
Answer:
You are correct
What is the measure of angle HIJ?
Н
Answer: you forgot to add A pic
Step-by-step explanation:
Please help!
The formula d= sqrt 1.5h gives the distance (d) in miles you can see to the horizon from a height of h feet above the earth. To the nearest mile, how many miles can you see to the horizon from the top of the Empire State Building at 1250 feet?
Answer:
d (miles) = (sqrt 1.5) * height (feet)
d (miles) = 1.2247448714 * 1,250
d (miles) = 1,530.93 miles
Step-by-step explanation:
What is the measure of arc c?
190
95
120
70
Answer:
70°
Step-by-step explanation:
By inscribed angle theorem:
[tex] 95° = \frac{1}{2}(c + 120°)\\\\
\therefore 95°\times 2 = c + 120°\\\\
\therefore 190° = c + 120°\\\\
\therefore c = 190° - 120°\\\\
\huge \orange {\boxed {\therefore c = 70°}} [/tex]
How is the product related to the first factor? 4/5 x 4/11
Answer
The product of the two factors with be a multiple of the first factor. That is, the product when divided by the first factor, will result in zero as the remainder. In this case, the product is 16/55 which is a multiple of 4/5.
divide x^3/4 over x^1/6
Answer:
A
Step-by-step explanation:
[tex]\frac{x^{\frac{3}{4} } }{x^{\frac{1}{6} } } = x^{\frac{3}{4} - \frac{1}{6} \\[/tex]
[tex]\frac{3}{4} - \frac{1}{6} = \frac{(3 * 6) - (4 * 1)}{(4 * 6)}[/tex]
[tex]\frac{18 - 4}{24} = \frac{14}{24} = \frac{7}{12}[/tex]
freds dog crate is 42 inches long, 24 inches wide, and has a height of 30 inches. what is the volume of the crate?
Answer:
20 icnhes
Step-by-step explanation:
not rlly
please read the photo above first :))
a) 40
b) 160
c) 240
d) 320
Answer: A
Step-by-step explanation:
This problem, may seem abit tricky, but this sequence is all about plugging in.
Since c₁=5, we can solve for c₂ and c₃.
c₂=c₁·2ⁿ⁻¹
c₂=5·2¹
c₂=10
Now that we have c₂, we can find c₃.
c₃=c₂·2ⁿ⁻¹
c₃=10·2²
c₃=40
Tomi stacks four rectangular prisms to build a staircase. He plans to cover the tops, fronts, and sides of the stairs with brick-patterned paper. The rectangular prism at the top has a length of 11 inches, a width of 30 inches, and a height of 7 inches. How much paper, rounded to the nearest square foot, will Tomi need in order to cover the stairs? Explain.
Answer:
4 sq foot
Step-by-step explanation:
What's the rule?
25, 20, 15, 10
Answer:
subtract 5
Step-by-step explanation:
Hello
I think I can help you here.
The answer is:
The rule is 5!
Step-by-step explanation:
It goes up in 5's each time. The 5 times table.
Please mark my answer.
Cheers, Jake
Calculate the volume of the 3-D composite figure please!! show how you got the volume
Answer: 10,488 cu. in.
Step-by-step explanation:
Volume of rectangular prism = l x w x h
= 16 x 18 x 23 = 6624 cu. in
Volumr of triangular prism = 1/2bh (height of prism)
= 1/2 x 23 x 21 x 16
= 3864 cu. in.
Volume of the figure = 6624 + 3864 = 10,488 cu. in
find the median if this set of numbers: 7, 6, 19, 12, 16, 19, 19, 6
Answer:
20
Step-by-step explanation:
Order the numbers from smallest to largest, then cross one number off until you have one or two numbers left.
If there is an EVEN number of numbers(like this one): there will be two numbers left, therefore you add those two numbers together, then divide by two.
If there is an ODD number of numbers: there will be one number left, therefore that is your answer!
Hope this helps!
-PusheenDaCat1017
CAN SOMEONE please help me with this hard homework question i will really appreciate if you did
Answer:
Please check the attached picture
Step-by-step explanation:
In the first row, there are 5 players in total, 4 of them practice extra time, then 5 - 4 = 1 player does not practice extra time.
In the second row, there are 5 players in total, 2 of them practice extra time, then 5 - 2 = 3 players do not practice extra time.
In the third row, there are 8 players in total, 2 of them practice extra time, then 8 - 2 = 6 players do not practice extra time.
We finally add up each column, to complete the table.
I hope this helps!
Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)
Answer:
[tex]8x+4y-2z-8z^2[/tex]
Step-by-step explanation:
Given
[tex](8x+3z-8z^2)+(4y-5z)[/tex]
Required
Write an expression that shows their sum
[tex](8x+3z-8z^2)+(4y-5z)[/tex]
Open Brackets
[tex]8x+3z-8z^2+4y-5z[/tex]
Collect Like Terms
[tex]8x+3z-5z-8z^2+4y[/tex]
[tex]8x-2z-8z^2+4y[/tex]
Reorder the polynomial
[tex]8x+4y-2z-8z^2[/tex]
Hence, [tex]8x+4y-2z-8z^2[/tex] is equivalent to [tex](8x+3z-8z^2)+(4y-5z)[/tex]
Answer:
D
Step-by-step explanation:
answer on edge
About 150,000 people live in a 8-mile radius of a city's town hall. Find the population density in people per square mile. Round your answer to the nearest whole number.
Answer:
747 people per square mile
Step-by-step explanation:
population of city's town hall = 150,000
Radius of city's town hall = 8 mile
area of any circular shape is given by [tex]\pi r^2[/tex].
r is the radius of circle.
p
Area of city's town hall = [tex]\pi r^2= 3.12*8^2 = 3.14*64 = 200.96[/tex]
Population density for any place is ratio of population of that place to area of that place
Thus
Population density for city's town hall = population of city's town hall /Area of city's town hall
Population density for city's town hall = 150,000/200.96
Population density for city's town hall= 746.42 people per square mile.
Population density for city's town hall Rounded to the nearest whole number is 747 people per square mile.
