Answer:
x = 15
Step-by-step explanation:
3 ( 2x + 5 ) = 3x + 4x
Distribute;
3 ( 2x + 5 ) = 3x + 4x
6x + 15 = 3x + 4 x
Combine like terms;
6x + 15 = 3x + 4x
6x + 15 = 7x
Inverse operations;
6x + 15 = 7x
-6x -6x
15 = x
Divide. Write in simplest form.
3/4 divided by 1/8
Answer:
when you divide 3/4 by 1/8 you get 6
(Find the distance between each of the following complex numbers. Give your answers in simplified radical form, and show all your work.)
1.) -1+i and -3-4i
2.) 1+i and 7-2i
3.) -3+4i and -6-i
4.) -2+3i and 2-2i
5.) 3 and 5+i
6.) -4+5i and 2-i
Thank you!
Answer:
I) √29
ii) 3√5
iii) 5√5
iv) √41
v) √5
vi) 6√2
Step-by-step explanation:
1)
Given complex numbers -1+i and -3-4i
The points are ( -1 , 1) and (-3 , -4 )
Distance formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]
= [tex]\sqrt{(-4-(1) )^{2} +(-3 -(-1) )^2 } = \sqrt{25+4} =\sqrt{29}[/tex]
2)
Given complex numbers 1+i and 7-2i
The points are ( -3,4) and (-6,-1)
Distance formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]
[tex]\sqrt{(-2-1 )^{2} +(7-1)^2 } = \sqrt{9+36} =\sqrt{45}= 3\sqrt{5}[/tex]
3)
Given complex numbers -3 +4i and -6-i
The points are ( -3 ,4 ) and (-6 ,-1)
[tex]\sqrt{(-1-4 )^{2} +(-6-4)^2 } = \sqrt{25+100} =\sqrt{125}= 5\sqrt{5}[/tex]
4)
Given complex numbers are -2+3i and 2-2i
The points are ( -2 ,3) and (2 , -2)
[tex]\sqrt{(-2-3 )^{2} +(2+4)^2 } = \sqrt{25+36} =\sqrt{41}[/tex]
5)
Given complex numbers are 3 and 5+i
The points are( 3,0) and (5,1)
[tex]\sqrt{(1-0 )^{2} +(5-3)^2 } = \sqrt{1+4} =\sqrt{5}[/tex]
6)
Given complex numbers are -4+5i and 2-i
The points are ( -4 ,5) and ( 2,-1)
[tex]\sqrt{(-1-5 )^{2} +(2-(-4))^2 } = \sqrt{36+36} =\sqrt{72}= 6\sqrt{2}[/tex]
Noah painted 3/20 of a fence in 1/2 a day how many days will it take him to paint the entire fence
Answer:
approximately 7 days
Step-by-step explanation:
20 ÷ 3 = 6.6 repeating, round up to 7 days
Answer:
3days and 8hours
Step-by-step explanation:
he painted 3/20 in 1/2day then
3/20 painted for 1/2 day =12 hours so
1/20 was painted in 12/3=4 hours
since 20 /20 will be how long will be needed to paint the entire fence
20*4hour = 80hours which is (24*3)+8 that will make
3days and 8hours or
3and 1/3 days
6/15 of a ton of wood is to be split between 8 decks evenly. How much wood will be used for each deck?
Answer:
1/16 tons of wood per deck
Step-by-step explanation:
6/15 ÷ 8
6/15 × 1/8 (Keep Change Flip)
6/96 = 1/16
Find 56(−4⋅27). Write your answer in simplest form.
Answer:
[tex]-6048[/tex]
Step-by-step explanation:
[tex]---------------------------------[/tex]
[tex]56\left(-4\cdot27\right)[/tex] = [tex]-6048[/tex] [tex]because[/tex]
[tex]---------------------------------[/tex]
[tex]56\left(-4\cdot27\right)[/tex] = [tex]?[/tex]
[tex]\left(-4\cdot27\right)[/tex] = [tex]-108[/tex]
[tex]56\left(-108\right)[/tex] = [tex]?[/tex]
[tex]56\left(-108\right)[/tex] = [tex]-6048[/tex]
[tex]---------------------------------[/tex]
Hope this helps! <3
[tex]---------------------------------[/tex]
Find the height of the pyramid.
Volume
392 cm3
14 cm
7 cm
The height is
centimeters.
Answer:
12 cm
Step-by-step explanation:
Base area
14 x 7 = 98 cm²
The volume of pyramid
392= 1/3 x height x base area
Height =12 cm
Use the graph below to find f(-2) =
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold 640 worth of jewelry. How much did Heidi make in commission? How much did the jewelry store make from sales?
Answer:
12,800 Dollars USD
Step-by-step explanation:
Please help!!! I will make brainliest
Answer:
I believe that all should be checked except for f(x) = x^6 which u already didn't check
Step-by-step explanation:
The equation is y = ab^x and all the equations, except that one, follow this formula
In how many zeros does 75! end?
Answer: 0
Step-by-step explanation: 0 because 75 doesn't have a 0
function or not a function
Answer:
That isn't a function because the ratio of those numbers doesn't equal.
Step-by-step explanation:
Please help soon! Thanks! Solve for x
Answer:
[tex]x=30^{\circ}[/tex]
Step-by-step explanation:
Looking at [tex]\triangle LMN[/tex]:
[tex]\angle NML = 180 - (90+45)[/tex] (angle sum of triangle is [tex]180^{\circ}[/tex])
[tex]=45^{\circ}[/tex]
Looking at [tex]\triangle KNM[/tex]:
[tex]\angle KNM = 180-105[/tex] (angle of straight is [tex]180^{\circ}[/tex])
[tex]=75^{\circ}[/tex]
[tex]\angle KNM + \angle NKM + \angle KMN = 180[/tex] (angle sum of triangle is [tex]180^{\circ[/tex])
[tex]75+2x+45 = 180[/tex]
[tex]2x+120 = 180[/tex]
[tex]2x=60[/tex]
[tex]x=30^{\circ}[/tex]
Hope this helps :)
Please Help
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Answer:
The coordinates of the point P = (x, y) = (-1, 4)
Step-by-step explanation:
Let the coordinates of P be (x, y)
(x₁, y₁) = (-6, 9)(x₂, y₂) = (2, 1)ratio = m:n = 5:3Using the section formula
x = [(mx₂ + nx₁)] / [(m+n)]
= [5(2)+3(-6)] / [5+3]
= [10-18] / [8]
= -8/8
= -1
y = [(my₂ + ny₁)] / [(m+n)]
= [5(1)+3(9)] / [5+3]
= [5+27] / [8]
= 32/8
= 4
Therefore, the coordinates of the point P = (x, y) = (-1, 4)
czi-txdf-gmj Aao sabhi
Answer:
hiii
Step-by-step explanation:
my name is arushi(aru)
This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.
The y-intercept of 2x - y = 6 is -6.
O False
True
Answer:
It is true
Step-by-step explanation:
Convert to slope-intercept form:
2x-y=6
-y=6-2x
y=-6+2x
y=2x-6
Since y=mx+b is the form we want, then b=-6, making the statement true.
Answer:
true
Step-by-step explanation:
you switch the 2x to the other side to get -y = 2x + 6
then you multiply everything by -1 to get y = -2x-6
-6 is the y int
Let f(x) = 9x and g(x) = x + 7. What's
the smallest number that is in the domain of
fºg?
Enter the correct answer.
OOOO
DONE
Clear all
Answer:
Let `f` be a function defined on [0,2]. Then find the domain of function `g(x)=f(9x^2-1)
Step-by-step explanation:
I'm not sure if that's right
A rectangular garden is fenced on all sides with 246 feet of fencing. The garden is 7 feet longer than it is
wide. Find the length and width of the garden.
(w + 7) feet=top w=side
The length of the garden is
feet.
The width of the garden is
feet.
Answer:
4
Step-by-step explanation:
The slope of a line perpendicular to y = 2x + 1 is -2.
False
True
Answer:
incorrect.
Step-by-step explanation:
the slope of the line perpendicular is the negative reciprocal, which in this case is -1/2
Answer:
False
Step-by-step explanation:
To find the slope of a perpendicular, flip the slope and change the sign.
The slope pf the given line is 2.
The slope of a line perpendicular to y = 2x + 1 is -1/2.
Answer: False
Oscar is selling tickets to a school play. Adult tickets cost $8 and student tickets cost $7. If he collected $245 by selling 34 tickets, how many adult and student tickets did he sell?
Answer:
Adult= 7 tickets
student= 27 tickets
Step-by-step explanation:
Step one:
let adult tickets be x
and students be y
Adult tickets cost $8 and
student tickets cost $7
So
[tex]8x+7y=245-----------1\\\\x+y=34-----------2[/tex]
Step two:
from equation 2
x=34-y
put the value of x in equation 1
[tex]8(34-y)+7y=245\\\\272-8y+7y=245\\\\272-y=245\\\\-y=245-272\\\\-y=-27\\\\y=27[/tex]
put y= 27 in equation 1
[tex]x+27=34\\\\x=34-27\\\\x=7[/tex]
Simplify.
6² + 3²
09
O 18
O 45
081
Answer:
45
Step-by-step explanation:
6² + 3²
36 + 9
45
Follow me please
Proving Triangles Similar CFU
Determine if the triangles are similar. If similar, state how and complete the similarity
statement. If not similar, select N/A for the last two responses.
F
יח
12
18
8
14
10
2
21
Are the triangles similar?
How are they similar?
Complete the similarity statement: AY FN - A
Answer:
yes
they are similar because they are proportionally related
YRW
how do I work this out
Answer:
2.21073919x10^23
Step-by-step explanation:
Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.
Answer:
6³⁰
__________________________________________________________
We are given the expression:
[tex]\frac{(6^{-4})^{-9}}{6^{6}}[/tex]
Simplifying the expression
We can multiply the 2 exponents on the numerator to get:
[tex]\frac{6^{36}}{6^{6}}[/tex]
We can switch the sign of the exponent on the denominator to get it's reciprocal
[tex]{6^{36}}*6^{-6}[/tex]
Since the bases are the same, adding the powers
[tex]{6^{36-6}}[/tex]
[tex]{6^{30}}[/tex]
Hence, the given expression can be simplified to 6³⁰
Please help w/ all and leave a small explanation please! :)
Someone help me out please
Caroline is correct because the equation y = (x-1)(x-5) is in factored form. If you solve the terms (x-1) and (x-5), you get the zeros (aka x-intercepts) of the graph.
Solve (set the terms equal to 0):
x-1 = 0 x = 1
x-5 = 0 x = 5
∴ the x-intercepts are (1,0) and (5,0).
The purple graph corresponds to the zeros in the equation, not the green graph. The green graph has negative x-intercepts, whereas the purple graph has positive x-intercepts like in the equation.
I can’t find the answer please help
Answer: A
Step-by-step explanation:
81 - 1 1/5x [tex]\leq[/tex] 55 The first thing you could do is convert the mixed fraction into an improper fraction.
1 1/5 to an improper fraction is -6/5
Now rewrite the inequality as,
81 - 6/5x [tex]\leq[/tex] 55 Subtract 81 from both sides
-81 -81
-6/5x [tex]\leq[/tex] -26 Multiply both sides of the inequality by 5
-6x [tex]\leq[/tex] -130 Divide both sides by -6 and the sign will me flip since your divide both sides by a negative number.
x ≥ 130/6 Convert 130/6 to a mixed fraction
x ≥ 21 2/3
Once again Plssssssss Help Meh
4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets? *
Answer:
4 tickets =$48
1 ticket = $48/4
= $ 12
11 tickets =11*$12
= $132
determine if any of the following listed pairs are congruent, select all that apply
A ps4 uses uses 8.8 watts when on stand by mode. If electricty in your area costs 0.10$ kwh, how much would this cost?
Answer0.88:
Step-by-step explanation: because for every watt 10 cents or .10 is being used so since there is 8.8 watts it would be a total of 0.88 in your area
What is the estimated product of 1.39 × 6.76?
1.39 rounds to , and 6.76 rounds to Therefore, the estimated product is . i´ll answer this on my own but feel free to answer to get points!!
Answer:
7
Step-by-step explanation:
1.39 rounds to 1
6.76 rounds to 7
1 x 7=7
Answer:
1,7,7
Step-by-step explanation: