Answer:
answer is b
Step-by-step explanation:
i+3 -2 -4i = 1-3i
The expression that is equivalent to (i+3)+i(2i-4) is -3i + 1
Option B is correct
The given expression is:
(i+3)+i(2i-4)
Open the parenthesis by expanding the expression using the distributive rule
i + 3 + 2i² - 4i
Note that i² = -1
The expression, therefore, becomes:
i + 3 + 2(-1) - 4i
i + 3 - 2 - 4i
Collect like terms by bring the real parts together and the imaginary parts together
i - 4i + 3 - 2
Simplify to get the final expression
-3i + 1
Therefore, the expression that is equivalent to (i+3)+i(2i-4) is -3i + 1
Learn more here: https://brainly.com/question/12375854
14.
Solve x2 + 2 = 6 by graphing the related function.
A. There are no real number solutions.
B. There are two solutions: ±[tex]\sqrt{8}[/tex].
C. There are two solutions: 2 and –2.
D. There is one solution: 2
Answer:
C. There are two solutions: 2 and –2.
Step-by-step explanation:
Answer:
Step-by-step explanation:
we have
we know that
The solution of the function is equivalent to solve the following system of equations
------> equation A
------> equation B
The x-coordinate of the intersection point both graphs is the solution of the given function
Using a graphing tool
see the attached figure
The intersection points are and
therefore
The solution of the given function are
Solve x2 + 2 = 6 by graphing the related function. x^2 + 2 is a parabola with a vertex at the point (0, 2). When x = -1 or x = 1, then x^2 + 2 = 3, so we should put the points (-1,3) and (1,3) on the graph. When x = -2 or x = 2, then x^2 + 2 = 6, so we should put the points (-2,6) and (2,6) on the graph. We could continue adding points to the graph if we want, but we already have our two solutions. x^2 + 2 = 6 when x = -2 or x = 2. Therefore, x = -2, and x = 2 are the two solutions to this equation.
Answer: option C.
Step-by-step explanation:
Given a quadratic function of the form , if the coefficient a is less than zero, then the function is opened upward.
The options A is not opened upwards, then it is not the answer.
Then the given equation can be written as:
This function is equal to the parent function, shifted 4 units down.
Therefore, the graph that you are looking for must be a parabola that is opened upwards and has its vertex in the point (0,-4).
Then, the correct option is C. And the solution is:
what is the perimeter of a rectangle with a base of 5 and a height of 8
Answer:
26
Step-by-step explanation:
Perimeter= width+height+width+height
= 5 + 8 + 5 + 8
= 26 cm
Hope this helps!
What is the value of x ?
Answer:
x = 20
Step-by-step explanation:
90 = 60 + (x + 10)
90 - 60 = x + 10
30 = x + 10
30 - 10 = x
20 = x
Answer:
x = 20
Step-by-step explanation:
From the diagram we see that ∠60° and ∠(x + 10)° are supplementary, therefore we know that the following is true...
60° + (x + 10)° = 90°
Now we just solve the equation and get the following...
60° + (x + 10)° = 90°
x° + 10° = 30°
x° = 20°
x = 20
5.0×10
1
1.50×10
5
= ?
help please last day of school
Answer:
5.0x10=50
1.50x10=15
Step-by-step explanation:
calculator
1 + 2 + 3 + ... + 98 + 99 + 100
Answer:
101 + 102 + 103 + ... + 998 + 999 + 1000
Step-by-step explanation:
=====================================================
Explanation:
This series is arithmetic since the common difference is 1. In other words, we're adding 1 to each term to get the next one.
The quickest way to find the sum is to use the formula below
S = (n/2)*(a+b)
where n is the number of terms, 'a' is the first term, and b is the last (or nth) term. This formula only works for arithmetic series.
We can see that n = 100, a = 1 and b = 100, so....
S = (n/2)*(a+b)
S = (100/2)*(1+100)
S = 50*101
S = 5050
-----------
This can be confirmed by noticing that we have 100/2 = 50 pairs of terms. Pair up the terms such that 1 goes with 100, 2 goes with 99, 3 goes with 98, and so on.
We have these fifty sums
1+100 = 101
2+99 = 101
3+98 = 101
....
48+53 = 101
49+52 = 101
50+51 = 101
We have 50 copies of 101 being added, which leads to 50*101 = 5050
--------------
The slowest and most tedious way to confirm this is to type 1+2+3+...+98+99+100 into your calculator. The result should say 5050. Using a spreadsheet would be a better option instead of using a handheld calculator. I don't recommend this unless you need more proof that we end up with 5050 as the final answer.
12. You are driving on a major highway. If you drive in the left lane traffic is moving at 60mph, if you drive in the right lane, traffic is moving at 40mph. You can drive a maximum of 10 hours and need to go a minimum of 500 miles. Use the above information to answer part a and b below: 12a. Create a system of inequalities to model the potential travel time in 3 points each lane.
12b. If you want to spend an amount of time in each lane, would this allow you to reach your goal of driving 50 miles? just to fight your conclusion
you are driving onajor highway 94 mp
Calcula el ancho de un terreno rectangular si el largo mide 20 metros y la superficie es de 280 metros cuadrados
Answer:14 m
Step-by-step explanation:
Dada
larga [tex]l=20\ m[/tex]
superficie [tex]A=280\ m^2[/tex]
Suponga que el ancho es w
La superficie está dada por el producto de la longitud y la anchura.
[tex]\therefore A=lw\\\Rightarrow 280=20\times w\\\Rightarrow w=14\ m[/tex]
Por lo tanto, el ancho es de 14 m.
What are the coordinates of the point 1/6 of the way from a to b?
Answer:
B. (2, 6)
Step-by-step explanation:
Xp = 1 + (1/6 × (7-1)) = 1 + (1/6×6) = 1+1 = 2
Yp = 8 + (1/6 × (-4-8)) = 8+(1/6×(-12))
= 8+(-2) = 6
the coordinate => (2, 6)
Lee ran a mile in 7 1/3 minutes. His friend Sam ran the same mile in 8 5/9 minutes. How many minutes faster did Lee run? (First answer will be the brainliest)
Answer:
1 2/9 minutes faster
Step-by-step explanation:
Take the larger number and subtract the smaller number
8 5/9 minutes - 7 1/3 minutes
Get a common denominator
8 5/9 - 7 1/3 *3/3
8 5/9 - 7 3/9
1 2/9 minutes faster
Find the difference between one million and two hundred fifty thousand.
Express the difference in words in International and Nepali Systems.
Answer:
Step-by-step explanation:
[tex]One \ million = 1, 000, 000\\\\Two \ hundred \ and \ fifty \ thousand = 250, 000[/tex]
Difference between one million and two hundred and fifty thousand
[tex]1,000,000[/tex] [tex]- \ 250,000[/tex] [tex]= 750000[/tex]
International Number System,750,000: Seven Hundred and Fifty Thousand
Nepalis Number System,7, 50,000 : Seven Lakh Fifty Thousand
Use the drop-down menus to complete the statements to match the information shown by the graph.
Check all that are equivalent!
Answer:
3^6, 3^-4 * 3^10, 3^3 * 3^3, and (3*3) * (3*3*3*3) are the answers that are equivalent!
Step-by-step explanation:
These four are correct:-
3² × 3⁴ = 3⁶3-⁴ × 3¹⁰ = 3-⁴+¹⁰ = 3⁶3³ × 3³ = 3³+³= 3⁶(3×3)(3×3×3) = 3²× 3³= 3²+3⁴= 3⁶If Amanda deposits 25% of her $180 paycheck into a savings account, what is the amount of her deposit?
Answer:
$45
Step-by-step explanation:
[tex]180 \times 25\%[/tex]
[tex]180 \times \frac{25}{100} [/tex]
[tex] \frac{18 \times 25}{10} [/tex]
[tex] \frac{450}{10} [/tex]
[tex]45[/tex]
Will mark brainly thanks
Answer:
The 8th term of the sequence is 255
Step-by-step explanation:
To find the 8th term of the sequence, we have to use the given sequence formula
All we have to do here is to make a substitution
We simply have to substitute the value 8 for n as follows;
a8 = 2^8 - 1
a8 =256-1
a8 = 255
Lily weighs 57.7 kg while her sister weighs 59.02 kg, how much more does Lily's sister weigh then her? Please provide the calculation!
Answer pls………………………..
Answer: Choice C. [tex]3\sqrt{17}[/tex]
================================================
Work Shown:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(12-15)^2 + (-21-(-9))^2}\\\\d = \sqrt{(12-15)^2 + (-21+9)^2}\\\\d = \sqrt{(-3)^2 + (-12)^2}\\\\d = \sqrt{9 + 144}\\\\d = \sqrt{153}\\\\d = \sqrt{9*17}\\\\d = \sqrt{9}*\sqrt{17}\\\\d = 3\sqrt{17}\\\\d \approx 12.3693169\\\\[/tex]
I used the distance formula for those steps above.
The two points were (x1,y1) = (12,-21) and (x2,y2) = (15,-9) but you could swap the order.
As an alternative route, you can plot the two points on the same xy grid. Then form a right triangle such that the hypotenuse is between the two points mentioned. The pythagorean theorem should lead you to the same answer as above. In fact, the distance formula is basically a modified version of the pythagorean theorem.
2 points
4] The spinner below is cut unevenly. The probability of spinning a 1 or 4
are equal. The probability of spinning a 3 is 1/2 of spinning a 2. What is the
probability of spinning an odd number if the probability of spinning a 2 is
16%? Type in a numerical value in percent form with the % symbol (no
spaces). For example: 1%*
Answer:
Probability of spinning an odd number is 84%
Step-by-step explanation:
The probability of spinning a 1 or 4 is equal. Let this probability be X
Probability of spinning a 2 is 1/16
Probability of spinning a 3 is 1/2 of the probability of spinning a 2 i.e 8%
Sum of spinning 1,2,3 and 4 is equal to 100%
X + 16% + X + 8% = 100
2X = 100 - 16-8
X = 76%
Probability of spinning an odd number i.e one and 3 is
76% + 8% = 84%
helpppppppppppppppppppppppppppppppppp!!!!!!!!!
number 1 and 2 pls help me
Keelie has a triangular-shaped card. The lengths of its sides are 3 cm, 4 cm, and 5 cm. Is the card a right triangle?
Answer:
Yes, the card is a right triangle.
Step-by-step explanation:
The card is a right triangle, specifically a 3-4-5 right triangle.
A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.
The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.
So, the card is a right triangle.
Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different combinations are possible?
Answer:
180
Step-by-step explanation:
to work out all possibilities you multiple the amount of options.
4x5x9=180
Find measure of angles B, E, D and C and the length of BC
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Determine whether the parallelogram is a rhombus, rectangle, square, or none. Explain.
Q(1,5), R(3,8), S(5,5), T(3,2)
Help ASAP
Determine the value for x in the picture below.
Please help me
Given:
The figure of a right angle triangle.
A line segment intersect the two sides and parallel to third side of the triangle
To find:
The value of x.
Solution:
According to basic proportionality theorem, if a line segment intersect the two sides and parallel to third side of the triangle, then it divides the two sides proportionally.
Using basic proportionality theorem, we get
[tex]\dfrac{8}{20-8}=\dfrac{6}{x}[/tex]
[tex]\dfrac{8}{12}=\dfrac{6}{x}[/tex]
[tex]\dfrac{2}{3}=\dfrac{6}{x}[/tex]
On cross multiplication, we get
[tex]2\times x=6\times 3[/tex]
[tex]2x=18[/tex]
[tex]x=\dfrac{18}{2}[/tex]
[tex]x=9[/tex]
Therefore, the value of x is 9.
What is the solution to the equation 3(x - 1) – 2(2x + 1) = 8(x - 1)?
What is the factorization of 49b2 − 81?
Step-by-step explanation:
The factorisation of 49b^2 - 81 is (7b - 9)(7b + 9). This is because 49 and 81 are the squares of 7 and 9 respectively, so these must be multiplied together. b^2 is b x b. Finally, it must be -9 and +9 to make -81, because when the signs are the same the result is a positive number
Answer:
(7b - 9)(7b + 9)
Step-by-step explanation:
49b2 - 81
49 - 7 x 7
b2 - b x b
81 - 9 x 9
(a + b) (a - b) = a2 - b2
(7b - 9)(7b + 9)
A store sells a certain tile for $2 per tile and a pint of paint for $3. A second store sells the same items for $1 per tile and $4 per pint of paint. Ari bought the same number of tiles and pints of paint at both stores, costing him $26 at the first store and $18 at the second store, before tax. Which system of equations can be used to find the number of tiles, x, and the number of pints of paint, y, that Ari bought at each store? A system of equations. 3 x plus 4 y equals 18. X plus 2 y equals 26. A system of equations. X plus 3 y equals 18. 2 x plus 4 y equals 26. A system of equations. 2 x plus 3 y equals 26. X plus 4 y equals 18. A system of equations. 3 x plus 2 y equals 26. 4 x plus y equals 18.
Answer:
2 x plus 3 y equals 26. X plus 4 y equals 18
Step-by-step explanation:
Number of tiles, = x
Number of pints of paint, = y
Store 1:
Cost per tile = $2 ; cost per pint = $3 ; total cost = $26
Store 2 :
Cost per tile = $1 ; cost per pint = $4 ; total cost = $18
System of equation:
2x + 3y = 26 - - - (1)
x + 4y = 18 - - - - - (2)
Please help me on this question
Answer:
A = 6π
Step-by-step explanation:
Expression for the area of a sector is given by,
A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]
For θ = 240° and r = 3,
By substituting these values in the given expression,
A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]
= [tex]\frac{240\times 9}{360}\pi[/tex]
= 6π
Therefore, A = 6π is the answer.
Which is longer - the radius or the circumference of a circle?
Answer:
Circumference of a circle
Step-by-step explanation:
The circumference of a circle is longer than its radius of the circle.
Lee y contesta santiago quiere comer la mitad de un pastel y alba quiere un tercio del mismo pastel para repartirlo bien reducen las fracciones a comun denominador ¿en cuantas partes iguales deben dividir el pastel? ¿cuantas partes debe tomar cada uno?
Answer:
El pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.
Step-by-step explanation:
Dado que Santiago quiere comer la mitad de un pastel y Alba quiere un tercio del mismo pastel, para repartirlo bien se deben reducir las fracciones a su común denominador. Así, para determinar en cuántas partes iguales deben dividir el pastel y cuántas partes debe tomar cada uno se deben realizar los siguientes cálculos:
Santiago = 1/2
Alba = 1/3
2 x 3 = 6
Santiago = 1/2 = 3/6
Alba = 1/3 = 2/6
Por lo tanto, el pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.
