Answer:
___________________________________________________________
By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.
___________________________________________________________
Select the correct answer.
What is the standard form of '((2+3i)(4-71))/((1-1)) ?
O A.
-3/13-4/261
OB.
*3/13+4/261
O c.
31/2+27/21
OD.
.-31/2-27/21
Plz halp
Answer:
[tex]\dfrac{31}{2}+\dfrac{27}{2}i[/tex]
Step-by-step explanation:
The given complex number is:
[tex]z=\dfrac{(2+3i)(4-7i)(1+i)}{(1^2-i^2)}[/tex]
Firstly we can solve (2+3i)(4-7i)(1+i)
= 2(8)+2(-7i)+4(3i)+3i(-7i²)× (1+i)
= (16-14i+12i-21i²i)× (1+i)
Since, i² = -1
= (16-14i+12i-21(-1)i)× (1+i)
= (16-14i+12i+21)× (1+i)
= (29-2i)(1+i)
= 31+27i
Denominator : (1-i²)
= (1-(-1))
= 2
[tex]\dfrac{(2+3i)(4-7i)(1+i)}{(1^2-i^2)}=\dfrac{31+27i}{2}\\\\=\dfrac{31}{2}+\dfrac{27}{2}i[/tex]
Hence, the correct answer is [tex]\dfrac{31}{2}+\dfrac{27}{2}i[/tex].
If you’re correct you’ll get brainliest answer!
Factor out the coefficient of the variable term.
The expression 6s - 3/4 factored is
Answer:
[tex]6s - \frac{3}{4}=3(2s - \frac{1}{4})[/tex]
Step-by-step explanation:
Given
[tex]6s - \frac{3}{4}[/tex]
Required
Factorize
[tex]6s - \frac{3}{4}[/tex]
Express 6s as 3 * 2s
[tex]3 * 2s - \frac{3}{4}[/tex]
Express 3/4 as 3 * 1/4
[tex]3 * 2s - 3 * \frac{1}{4}[/tex]
Factorize:
[tex]3(2s - \frac{1}{4})[/tex]
Hence:
[tex]6s - \frac{3}{4}=3(2s - \frac{1}{4})[/tex]
Alan bought 3 CDs that were each the same price. Including sales tax, he paid a total of $38.70. Each CD had a tax of $1.10. What was the price of each CD before tax?
Answer:
$11.80
Step-by-step explanation:
3*$1.10 = $3.30
price without tax,
= 38.70-3.30
= 35.40
Cost of each CD,
= 35.40/3
= 11.80
Answer:
11.80 dollars
Step-by-step explanation:
Well, first I would multiply 1.10 by 3 which is 3.30 then subtract 38.70 - 3.30 and get 35.40, and finally divide 35.40 by 3 to get 11.80
Can someone help I think it’s a, b, d but I would like to see what everyone else’s opinion is:)
Answer:
D
Step-by-step explanation:
There are 5 ways to prove congruence:
1. SSS (3 sides)
Not applicable here
2. SAS (side-angle-side)
This requires a side, then an angle in between, and another side. This cannot be met with angles (as we currently have side-angle) so none of these are possible
3. ASA (angle-side-angle)
This is a side between angles, so if we squished line AC between angles C and A, and angle A=angle O, this would be true -- B is one answer
4. AAS (angle-angle-side)
Similar to option 3, but would be with angles T and G instead,
D is another answer
5. hypotenuse leg (only in right triangles)
The reason T and G fit AAS is because we hit angle T, then angle C, then side CA, all congruent with G, D, and DO in that order.
how is per capita gross domestic product calculated "total market value of goods and services produced within a year divided by total population"?
Answer: See explanation
Step-by-step explanation:
You didn't really say what you want to know but let me explain.
The gross domestic product of an economy is the value of the goods and.d services that are being produced in such an economy. The gross domestic Product is used to know how well an economy is doing
Per capita gross domestic product (GDP) is a used to know the economic output of a particular country per person. It is calculated by dividing the GDP of such an economy by the population.
For example, let us say the GDP of a country is $800,000,000 and the population is 3,500,254. Therefore, the per capita GDP would be:
= $800,000,000 / 3,500,254
= $228.56 per person
Answer:total market value of goods and services produced within a year divided by total population
Step-by-step explanation:
basic defenition
42 cats and 14 fish what is the ratio to cats to fish
Answer:
42:14
42 cats and 14 fish
Answer:
3:1
Step-by-step explanation:
42 : 14 ---> 42/14 = 21/7 = 3/1 ---> 3 : 1
Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets. What is the exact cost?
Answer:
$23.75
Step-by-step explanation:
5.50*2=11
4.25*3=12.75
11.00+12.75=23.75
If AABC = ADEC,
ZB = 40° and ZE = 2x + 4
A
B
с
E
x = [?]
Step-by-step explanation:
The angle at B is the same as the angle at E so equate them to each other to find x
2x+4=40°
2x=40-4
2x=36
x=36/2=18
a) complete the table of values for y=x^3+x^2-6x
b) hence solve the equation x^3 +x^2-6x=0
Answer:
a)
x -3 -2 -1 0 1 2 3
y 0 8 6 0 -4 0 18
b)
see in the table, at x = {-3; 0; 2}, y = 0
=> x = {-3; 0; 2} is the solutions of the equation x³ + x² - 6x = 0
Step-by-step explanation:
a) 0 and 6 will be written in the given blank spaces.
b) The value of x for the given equation is 0, -3 and 2.
Substitution method?It is a method for finding the values of variable, by substituting the value of one variable to get the another.
How to solve a polynomial equation?To solve a polynomial equation, first write it in standard form. Once it is equal to zero, factor it and then set each variable factor equal to zero.
a). We have, an equation
[tex]y = x^{3}+x^{2} -6x[/tex]
so, at x = -3
[tex]y = -3^{3} +(-3)^{2} -6(-3)[/tex] = -27+9+18 = 0 (substitute x = -3 in the given equation)
at x = -1
y = [tex]-1^{3} +(-1)^{2} -6(-1) = -1+1+6 = 6[/tex]
Hence, 0 and 6 will we written the blank spaces of the given table.
b). We have an equation
[tex]x^{3} +x^{2}-6x = 0[/tex]
⇒ [tex]x(x^{2} +x-6)=0[/tex]
⇒ [tex]x (x^{2} +3x-2x-6)=0[/tex]
⇒ [tex]x(x(x+3)-2(x+3))=0[/tex]
⇒ [tex]x(x+3)(x-2)=0[/tex]
⇒ [tex]x = 0,-3 and 2[/tex]
Hence, 0, -3 and 2 are the solutions of the given equation.
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Anyone plz help me, plz show the working. THANK YOU SO MUCH!
Choose a value for B so that the relation below is not a function
Answer:2
Step-by-step explanation:
plz leave a like
What is X / 2 + 1 > 3
Answer:
Step-by-step explanation:
here you go mate'
step 1
X / 2 + 1 > 3 equation
step 2
X / 2 + 1 > 3 simplify the equation
step 3
1/ 2 + 1 > 3 subtract the number at the front
1 / 2 + 1 (-1)> 3(-1)
step 4
1/2x>2 multiply
answer
x>4
Select all the products that are negative, if x is negative.
–6x
4x
–3(–x)
0x
–x
4x and –3(–x) are negative.
Shaq runs once around the track in 8.07 minutes. Felicia runs once
around the track in 4.90 minutes less than Shaq. How long does it
take Felicia to run once around the track? HUH?! Please help!
Answer:
Felicia needs 3.17 minutes to run once around the track
Step-by-step explanation:
Subtraction
Shaq is known to run once around the track in 8.07 minutes. Felicia runs once around the track in 4.90 less than Shaq.
We don't know how long does it take Felicia to run once around the track, but we can find it by subtracting the time done by Shaq with the difference between their relative times.
Felicia takes 8.07 min - 4.90 min = 3.17 min.
Felicia needs 3.17 minutes to run once around the track
Colton is taking a long bike ride where he rides at a constant speed. The distance he bikes is proportional to the amount of time he has been biking. After 3.5 hours, he has traveled a distance of 49 miles.(b) Colton travels at the same rate as in (a) for 6 hours. Let d be the distance he biked. Set up and solve a proportion for d. (c) Colton would like to bike 200 miles. Let h be the number of hours it will take Colton to bike this distance. Solve a proportion for h. Round to the nearest tenth of an hour.
Answer:
b) [tex]d[/tex] = 84 miles
c) [tex]h[/tex] = 14.3 hours
Step-by-step explanation:
Given that:
The speed of Colton is constant while riding a bike.
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
If speed is constant, then we can deduct that:
[tex]Distance \propto Time[/tex]
Time = 3.5 hours
Distance = 49 miles
Therefore, the speed will be equal to:
Speed = [tex]\frac{49}{3.5}[/tex] = 14 miles/hr
b) Given that:
Time = 6 hours, then we have to find the distance to be hiked if the speed is same.
[tex]14 = \dfrac{d}{6}\\\Rightarrow d = \bold{84}\ miles/hr[/tex]
c) Given that:
Distance = 200 miles
Number of hours = [tex]h[/tex]
To find, the value of [tex]h[/tex].
[tex]14 = \dfrac{200}{h}\\\Rightarrow h = \dfrac{200}{14}\\\Rightarrow h = \bold{14.3}\ hours[/tex]
A picture is photocopied by using a scale factor of 2. Each side of the photocopy of the picture is. enlarged by a factor of 2. enlarged by a factor of One-half. reduced by a factor of 2. reduced by a factor of One-half.
Answer:
using a scale of 2", is another way to say, "is going to grab the original, and blow it up to 2 times as large".
so, the resulting copy is twice as large as the original.
Step-by-step explanation:
Answer: A picture is photocopied by using a scale factor of 2. Each side of the photocopy of the picture is
enlarged by a factor of 2.
enlarged by a factor of One-half.
reduced by a factor of 2.
reduced by a factor of One-half
Step-by-step explanation:
9. What is the slope of the equation below?
y=-5 x + 9
Answer:
slope = - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 5x + 9 ← is in slope- intercept form
with slope m = - 5
A pair of pants at Cool Topic originally cost $69. They are on sale for $52. What is the markdown? ________________ What is the percent markdown? (round to the nearest whole percent) _______________
Answer:
27.4%
Step-by-step explanation:
Step one:
given
original cost $69
seling price $52
Required
The percent reduction
Step two:
% reduction= change in price/original price*100
% reduction= 69-52/62*100
% reduction=17/62*100
% reduction= 0.274*100
% reduction= 27.4%
Solve.
–2x − 7y = 11
x = 5
Solve using any method, and give me the ordered pair(Plz)
Answer:
y=−3
Step-by-step explanation:
(−2)(5)−7y=11
−10+−7y=11
−7y−10=11
Step 2: Add 10 to both sides.
−7y−10+10=11+10
−7y=21
Step 3: Divide both sides by -7.
−7y
−7
=
21
−7
What is the value of x in the equation -x = 2 - 3x + 6?
a) 8
b) -4
c) 4
d) -8
Answer: x = 4
Step-by-step explanation:
first, we calculate it.
-x = 8 - 3x
then, we move the variable to the left.
-x + 3x = 8
then, we collect like terms.
2x = 8
finally, we divide both sides.
x = 4
Write the fraction as a decimal. 65/100
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
To write 65/100 as a decimal you to divide numerator by the denominator of the fraction.
We divide now 65 by 100 what we write down as 65/100 and we get 0.65.
And finally we have:
65/100 as a decimal equals 0.65
Step-by-step explanation:
I hope it helps ❤❤In the notation "s(X) = ...," what does "s(x)" represent?
A.
The value of s(x) depends on the value of x, since s is a function of x.
B.
The value found when sis multiplied by the value x.
С.
There is not enough information to answer this question.
D.
The value of x depends on the value of s(x), since x is a function of s.
Answer: Choice A) The value of s(x) depends on the value of x, since s is a function of x.
The outer letter s tells us what the function's name is. It's the dependent variable and it might be handy to tie it to the y variable. The x is the independent variable. It changes freely without relying on what s happens to be.
Answer: A. The value of s(x) depends on the value of x, since s is a function of x.
Step-by-step explanation: s(x) is the output of the function when a given value of x is calculated according the operations in the function.
tickets to a concert went on sale at 10 a.m. by 12 p.m. 208 tickets have already been sold at this rate how many tickets will be sold in the first 5 hours of the tickets go on sale
A. 520
B. 1,040
C. 41.6
D.728
Answer:
We conclude that 520 tickets will be sold in the first 5 hours of the tickets go on sale.
Hence, option A is true.
Step-by-step explanation:
Given that the tickets to a concert went on sale at 10 a.m. by 12 p.m.
10 a.m. by 12 p.m means the total number of hours = 2 hoursGiven that the tickets sold in 2 hours = 208
Thus,
Unit rate = 208 tickets / 2 hours
= 104 tickets per hour
Therefore,
Tickets sold in the first 5 hours of the tickets go on sale:
104 × 5 = 520 tickets
Therefore, we conclude that 520 tickets will be sold in the first 5 hours of the tickets go on sale.
Hence, option A is true.
so i have these three questions left.
It's asking you to possibly find the TERM for the DEFINITION
QUESTIONS:
___ 16. the factor in an expression being taken times
itself
___ 17. the number of times a factor is taken times
itself
___ 24. the numbers in a sequence
these are ALL the DEFINITIONS, i have left over
F. term
H. median
K. meter
L. liter
O. sum
P. difference
Q. evaluate
R. exponent
S. factor
I'll mark you brainy
Answer:
16. this would be "base" but that isn't an option...
17. R, exponent
24. F, term
In the figure below, k || l and m || n. Find the values of x and y.
Answer:
y=36
Step-by-step explanation:
using that 63° angle there on the right, we know that the other angle for a 180° total is 117°.
Now we have to figure out y using that total of 117
(4y-27)=117
4y-27=117
4y=144
y=36
Now if we substitute y...
(4y-27)=117
(4(36)-27)=117
(144-27)=117
(117)=117
HELP ASAP pls help me i'll give brainliest.
answer both and give brainliest fosho ;,(
this is finals week ugh help pls
Answer:
wHaT?
Step-by-step explanation:
please help me ill give brainlest
Denominators= 4 and 6
LCM of 4 and 6 => 12
So, the least common denominator of the given fractions is 12.
Hope it helps!
Answer:
12
Step-by-step explanation:
1/4 and 5/6
4, 8, 12
6, 12
What is 4cos2(165°) – 2 expressed as a single trigonometric function? 4cos(330°) 2cos(330°) 4cos(82.5°) 2cos(82.5°)
Answer:
2cos(330º)
Step-by-step explanation:
both equal to √3
Expressing 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)
Meaning of trigonometric functionTrigonometric function can be defined as real functions in mathematics that forms a relationship between an angle of a right-angled triangle to the ratio of the length of two sides.
Trigonometric function is very important as it is mostly concerned with functions of angles and their application in calculation
In conclusion, to express 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)
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Charles needs to mix 6 tablespoons of water with 5 tablespoons of vinegar to make a cleaning solution. How many tablespoons of water are needed for each tablespoon of vinegar?
Answer:
The answer is 1.2
Step-by-step explanation:
Can someone help me with 12
Answer:
5p+4>14 (A)
Step-by-step explanation:
Open dot means that the value is not included.