Answer:
In equation A, x= -1 and y= 3
In equation B, x= 12 and y= 16
Step-by-step explanation:
Given the expression
(x + yi) + (4 – 7i) = 3 – 4i
We are to find the value of x and y
Expand the equation;
(x + yi) + (4 – 7i) = 3 – 4i
x + yi + 4 – 7i = 3 – 4i
x+4+yi-7i = 3 - 4i
x+4 + (y-7)i = 3-4i
Equate the real part
x+4 = 3
x = 3-4
x = -1
Equate the imaginary part;
y - 7 = -4
y = -4 + 7
y = 3
In equation A, x= -1 and y= 3
For equation B:
(x + yi) - (-6 + 14i) = 18 + 2i
x+yi+6-14i = 18+2i
x+6+(y-14)i = 18+2i
x+6 = 18
x = 18-6
x = 12
Equate the imaginary part;
y - 14 = 2
y = 2 + 14
y = 16
Hence In equation B, x=12 and y= 16
Answer:
In equation A, x= -1 and y= 3 In equation B, x= 12 and y= 16
Step-by-step explanation:
Given the expression
(x + yi) + (4 – 7i) = 3 – 4i
We are to find the value of x and y
Expand the equation;
(x + yi) + (4 – 7i) = 3 – 4i
x + yi + 4 – 7i = 3 – 4i
x+4+yi-7i = 3 - 4i
x+4 + (y-7)i = 3-4i
Equate the real part
x+4 = 3
x = 3-4
x = -1
Equate the imaginary part;
y - 7 = -4
y = -4 + 7
y = 3
In equation A, x= -1 and y= 3
For equation B:
(x + yi) - (-6 + 14i) = 18 + 2i
x+yi+6-14i = 18+2i
x+6+(y-14)i = 18+2i
x+6 = 18
x = 18-6
x = 12
Equate the imaginary part;
y - 14 = 2
y = 2 + 14
y = 16
Hence In equation B, x=12 and y= 16
PLEASE HELP, GIVING BRAINLIST TO ANYONE WHO ANSWERS
Here's the answer .. feel free to ask any more qns.
PLZ help meee !!!! I will give you 10 points
A coordinate plane. Use the coordinate plane to plot the points (6, 0) and (0, 5). Which statement is true? (0, 5) is located on the x-axis. (0, 5) is located at the origin. (6, 0) is located on the x-axis. (6, 0) is located at the origin.
Hi!
Answer:
C, (6,0) is located on the x-axis.
Step-by-step explanation:
A. is wrong because (0,5) is located on the y-axis because it is going 5 points up, not right
B. and D. are wrong because none of them are located on the origin
That leaves C. and it is right because (6,0) is located on the x-axis
Want proof?
I have some:
Hope this helps anybody!
Answer:
c
Step-by-step explanation:
Need help ASAP please thankyou!
Answer:
c=7
d=5
Step-by-step explanation:
Exponential Equations
We need to recall some properties of exponentials to solve the equations:
[tex]x^a*x^b=x`{a+b}[/tex]
[tex]\displaystyle (x^a)^b=x^{ab}[/tex]
Equation A
[tex]\sqrt{448x^c}=8x^3\sqrt{7x}[/tex]
Squaring:
[tex](\sqrt{448x^c})^2=(8x^3\sqrt{7x})^2[/tex]
Simplifying the radicals:
[tex]448x^c=64x^6(7x)[/tex]
[tex]448x^c=448x^7[/tex]
If follows that
c=7
Equation B
[tex]\sqrt[3]{576x^d}=4x\sqrt[3]{9x^2}[/tex]
Raising to the third power:
[tex](\sqrt[3]{576x^d})^3=(4x\sqrt[3]{9x^2})^3[/tex]
[tex]576x^d=4^3x^3(9x^2)[/tex]
Operating
[tex]576x^d=64x^3(9x^2)=576x^5[/tex]
Thus:
d=5
write the equation of a line whose slope is the same as the line y=-2x+7
Answer:
y=-2x-94
Step-by-step explanation:
You can do anything with the y-intercept. The line is parallel (same slope) and the y-intercept can be literally any number in the world. I would advise to not use negative or positive infinity though.
Can the sides of a triangle have lengths 4, 7, and 9?
Given that ABCD is a parallelogram, find the values for x and y.
Answer:
Value of x = 5°
Value of y = 4°
Step-by-step explanation:
Given:
ABCD is a parallelogram
Find:
Value of x and y
Computation:
12x = 60°
x = 5°
7y = 28°
y = 4°
Value of x = 5°
Value of y = 4°
A mail carrier delivers mail to 112 houses in 4 hours. At what rate did the mail carrier deliver mail
Answer:
28 houses per hour
Step-by-step explanation:
With regards to the above, we'll simply divide the number of houses by the hours spent
Number of houses = 112
Hours spent = 4
The rate at which the carrier delivers the mail is
= 112/4
= 28 hours per hour
You spin a spinner with 7 equal spaces numbered 1 through 7. What is the probability that the spinner lands
on a 4 or a 6.
Answer:
P = 28.57%
Step-by-step explanation:
Probability
The probability of an outcome is defined as the frequency of the number of times the outcome occurs relative to the number of times that it could have occurred.
The equation to calculate the probability is:
[tex]\displaystyle P=\frac{f}{n}[/tex]
Where f is the number of favorable cases and n is the total cases.
The spinner has n=7 equal spaces numbered 1 to 7. We will calculate the probability that the spinner lands on a 4 or a 6.
The set of favorable outcomes is {4,6} which gives a count of f=2.
The required probability is:
[tex]\displaystyle P=\frac{2}{7}[/tex]
P = 28.57%
7. Jan ran 4750 m, Mo ran 3.35 km, and Hal was 50 m short of 6 km. How
many kilometres did they run in total? *
Michelle bought five packs of crayons for 13.75. what is the cost of a pack ,in dollars, if all the packs cost the same
Answer:
2.75
Step-by-step explanation:
Divide 13.75 by five.
can someone help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: A. and D.
Step-by-step explanation: Sorry if its wrong but that sounds right. The first week comes before the second week.
Plssssss help me plssssssssss
Answer:
x = -1
y = 4
Step-by-step explanation:
i believe this shape is a rhombus because the diagonals are perpendicular and bisectors, meaning m∡A = m∡B = m∡C = m∡D
so AC = CB = BC = DA
y + 1 = 2y - 3
1 = y - 3
4 = y
Plugging in 4 for 'y' means all sides are equal to 5
find x: 2x + 7 = 5
2x = -2
x = -1
a) Find the lowest common multiple (LCM) of 36 and 48
Answer:
144
Step-by-step explanation:
I did the sum out :) :)
Write an expression to represent the perimeter of the figure below.
х
44-2
5x + 3
3x + 1
Answer:
Using the equation below just add like terms:
P=a+b+c+d
5x+3x+x+4x
=13x
-2+1+3
=2
13x+2
A
What function is graphed below? y= -5x^6 y=5x^6
Answer: I can't really tell without a graph but from what I see when I use my graphing calculator it's a linear function
Step-by-step explanation:
Tracy bought 8 gallons of orange juice and used 1.8 gallons of it to make popsicles. How much orange juice does Tracy have left?
Answer:
6.2 gallons of orange juice left.
Step-by-step explanation:
Total orange juice = 8 gallons
Used orange juices to make popsicles = 1.8 gallons
We need to find how much orange juice does Tracy have left.
Left orange juice = Total orange juice - used orange juice
= 8 gallons - 1.8 gallons
= 6.2 gallons
Hence, 6.2 gallons of orange juice left.
Pls help ASAP I need help on this problem
Help!!!!!! Pleaseeeee
Answer:
B
Step-by-step explanation:
if you solve all of them
2(4x) = 8x
a) 2 + 4x well you cant simplify more on that so no that wouldnt be the answer
b) (2 × 4)x = 8(x) = 8x
c) would equal 4 + 8x
d) 8 + 8x
hope I helped ;)
The difference of 26.4 and 4.36
Answer:
I think the answer is 22.14
Step-by-step explanation:
Difference means substraction so to answer this I have to subtract.
26.4-4.26=22.14
help me for brainlist
Find the midpoint of the line segment with endpoints (-2,0) and (9,-1).
Answer:
(3.5,-0.5)
Step-by-step explanation:
average out the x and the y
What is the discriminant of the quadratic equation 3-3x=-6x^2?
-68
-56
76
88
Answer:
-56, B on Edge
Step-by-step explanation:
Edge2022 :)
what is the distance between the points?! round to the nearest tenth i need to show work.
“Negative one-fifth of a number, increased by 3, is at most 1.”
please help me its importent
thank you
A bag contains 8 yellow marbles and 6 blue marbles. What number of
yellow marbles can you add to the bag so that the ratio of yellow to blue marbles is 2 : 1?
find the probability of drawing a diamond 8 through 10 on the first draw, replacing it, and drawing a black card on the second draw?
Drawing an 8, 9 or 10 of diamonds would be 3/52 ( cards out of 52 total cards)
Drawing a black card would be 1/2 ( half the deck is black)
The probability of both happening is 3/52 x 1/2 = 3/104
a right triangle is shown below .
what is the value of x rounded to the nearest 10 if neccessary
Line t intersects parallel lines 1 and 2 as shown below.
According to the information provided, which of the following pairs of angles are not always congruent?
a. same side exterior angles 2 and 7
b.alternate exterior angles 1 and 7
c.corresponding angles 3 and 7
d.vertical angles 5 and 7
The set of cards shown contains both red and black cards. How many cards must be red so the probability of drawing a red card at random is 2/5?
Answer:
H, 4 cards
Step-by-step explanation:
There are ten cards in the deck so you convert the fraction into tenths.
2/5 = 4/10 therefor its 4 cards
