Answer:
Step-by-step explanation:
Suppose we decide to solve for y first. y will then be in terms of x AND a real and an imaginary term:
48-5i=-4x+10yi
The goal here is to solve for y. Adding 4x to both sides yields
48 - 5i + 4x = 10yi
and then we divide both sides by 10i to isolate the variable y:
48 - 5i + 4x
----------------- = y This result is "y in terms of the constant 48, the
10i imaginary terms 5i and 10i, and the expression 4x.
We solve the original equation for x in a similar manner:
48-5i=-4x+10yi becomes 48 - 5i - 10yi = -4x, so that:
-(48 - 5i - 10yi)
x = ------------------------
4
Next time, please specify which variable (x or y) you're solving for. Thank you.
need an answer, please need an answer, please
Answer:
Step-by-step explanation:
1) 6 and -5
x₁ + x₂ = 6 +(-5) = 1
x₁* x₂ = 6*(-5) = -30
x² -(x₁ + x₂)x + (x₁* x₂)=0
x² - x - 30 = 0
2) 4 and 7
x₁ + x₂ =4 + 7 = 11
x₁* x₂ = 4*7 = 28
x² - 11x + 28 = 0
3) 1 and -10
x₁ + x₂ = 1 +(-10) = -9
x₁* x₂ = 1*(-10) = -10
x² - 9x - 10 = 0
4) -9 and 0
x₁ + x₂ = -9 + 0 = -9
x₁* x₂ = 0
x² - (-9)x = 0
x² + 9x = 0
5)2 and 6
x₁ + x₂ = 2 + 6 = 8
x₁* x₂ = 2*6 = 12
x² -8x + 12 = 0
8) 2 +√3 and 2 - √3
x₁ + x₂ = 2+ √3 + 2 - √3 = 4
x₁* x₂ = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1
x² - 4x + 1 = 0
the star bakery they made 112 loaves of bread on monday. on tuesday they made twice as much as they made monday. how many loaves of bread did they make tuesday. answer
Answer:
224
Step-by-step explanation:
112 x 2 = 224
Evaluate.
(2a−13)÷b/15 when a=−2/5 and b=−8.25
Enter your answer as a simplified mixed number in the box
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25 is [tex]25\frac{75}{825}[/tex]
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(2a - 13) ÷ b/15
The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25.
= (2a - 13) ÷ b/15
= (2 x (-2/5) - 13) ÷ -8.25 / 15
= (-4/5 - 13 ) ÷ -8.25 / 15
= (-4 - 65) / 5 ÷ -8.25 / 15
= -69/5 ÷ -8.25/15
= -69/5 x -15/8.25
= 69 x 3 / 8.25
= 207 / 8.25
= 20700/825
We will write this in a mixed fraction.
= [tex]25\frac{75}{825}[/tex]
Thus,
The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25 is [tex]25\frac{75}{825}[/tex]
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There are 6 triangles and 8 squares. What is the simplest ratio of triangles to total shapes?
Answer:
3:7
Step-by-step explanation:
The number of triangles is 6.
The number of squares is 8.
The total number of shapes is 14.
The unsimplified ratio of triangles to total shapes is 6:14.
The bigger number that both 6 and 14 can be divided by is 3.
That makes the ratio 3:7, and it cannot be simplified further.
HELLLPPPPP PLSSSSSS
Why do you have to use the quadratic formula for the following instead of factoring?
x^2 - 12x - 20 = 0
Answer:
There are no factor that you can find that when two factors are multiply together your get a product of -20 and when you add then you get -12
Step-by-step explanation:
Carlos ate 1/3 of his caramel pie. Carlos is having a friend come over and wants to give her 1/4 of the pie he has remaining. What fraction of the original pie will he give his friend?
===================================================
Explanation:
Multiply the denominators to get 3*4 = 12. We'll use this value to set up the number of slices we start with.
If we started with 12 slices, then 1/3 of this is (1/3)*12 = 4 slices. So Carlos ate 4 slices. There are 12-4 = 8 slices left.
1/4 of that value is (1/4)*8 = 2 which is the number of slices given to his friend.
Divide the number of slices given to the friend (2) over the number we started with (12) to get 2/12 = 1/6
-----------------------
Another approach:
If Carlos ate 1/3 of the full pie, then there are 2/3 of it left.
1/4 of this is (1/4)*(2/3) = (1*2)/(4*3) = 2/12 = 1/6 which represents the fractional amount of the original pie given to the friend.
Each big square below represents one whole. what percent is represented by the shaded area?
Answer:
52 %
Step-by-step explanation:
Total number of squares = 100
Number of shaded squares = 52
% of shaded squares
= ( 52 / 100 ) x 100
= ( 52 x 100 ) / 100
= 5200 / 100
= 52 %
please help w my khan acc
Answer:
y- intercept ( 0,-4)
x- intercept (-8,0)
Step-by-step explanation:
Answer:
y-intercept is (0,-6)
x-intercept is (-8,0)
Step-by-step explanation:
An intercept is the point at which the function intersects the given axis
Solve the inequality
Step-by-step explanation:
3 - 4(y + 2) <= 6 + 4(2y + 1)
3 - 4y - 8 <= 6 + 8y + 4
-5 <= 10 + 12y
-15 <= 12y
12y >= -15
y >= -15/12 = -5/4
y >= -5/4
y € [‐5/4, oo)
The total temperature measured by 3 thermometers was −15 degrees Fahrenheit.
What was the average temperature measured by the 3 thermometers?
Answer:
-15 ÷ 3 = -5
Step-by-step explanation:
If 3 thermometers totaled -15, then they share that value equally.
The following are data on number of policemen and number of crimes. Find out if there is a correlation between these two variables. NumPolice NumCrimes 15 17 17 19 25 16 27 20 17 12 12 15 12 11 22 27 Using the test of correlation, What is the correct interpretation of the correlation coefficient in this example?
a. The interpretation would be there is a moderate positive correlation between number of policemen on duty and number of crimes
b. The interpretation would be there is a strong negative correlation between number of policemen on duty and number of crimes
c. The interpretation would be that TNOETS that there is a correlation between number of policemen on duty and number of crimes.
d. The interpretation would be that there is a strong positive correlation between number of policemen on duty and number of crimes
A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000.
The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
Let x represent the number of cyclists.
Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:
Revenue = 60x + 15000
Also, the cost of the race is $18 per entry, hence:
Cost = 18x
They need to raise at least $57,000, hence:
Profit ≥ 57000
Revenue - Cost ≥ 57000
(60x + 15000) - 18x ≥ 57000
42x ≥ 42000
x ≥ 1000
Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
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what does 3 - (-8) equal????
Answer:
11
Step-by-step explanation:
3-(-8) = 3+8
= 11
Please help help help
Find the value of x if the two triangles are similar. Explain.
Given :
The given two triangles are similar .
To find :-
The value of x .
Solution :
In larger triangle :-
90 + y + y = 180
2y = 180 - 90
2y = 90
y = 45°
As we know that ,
Corresponding Angles of similar triangles are same ,
15x = 45
x = 45/15
x = 3
PLEASE HELP!!!
ASAP :O
NO LINKS!!!
Answer:
D.
Step-by-step explanation:
The magnitude of a number is its absolute value.
|-5.8| = 5.8
Answer: D.
Dividing whole numbers
Answer:
137.8
when round of:138
Answer:
137.8
Step-by-step explanation:
Can't really break it down further than this.
A submarine dives 51 3/5 meters below the surface of the water in 4 minutes. how many meters does the submarine dive each minute? NO LINKS!
A: 12 9/10
B: 12 3/4
C: 206 2/5
D: 47 3/5
Answer:
so you have to subtract for minus 53 so 4 - 53 is wait you have to subtract 51 and 3 and 1/2 - 4 so I'mma just get to the answer the answer is b
9n - 16 -1 + 3n Pls help
Answer:
17/12
Step-by-step explanation:
12n-17=0
12n=17
n=17/12
1. If the lines are parallel, find the measures
of <5 and <6.
122°
5
6
M<5 =
m<6=
Answer:
∠ 5 = 122° , ∠ 6 = 58°
Step-by-step explanation:
∠ 5 and 122° are vertically opposite and are congruent , then
∠ 5 = 122°
∠ 5 and ∠ 6 are same- side interior angles and sum to 180°
∠ 5 + ∠ 6 = 180° , that is
122° + ∠ 6 = 180° ( subtract 122° from both sides )
∠ 6 = 58°
Help me please help me help please help
Answer:
B
Step-by-step explanation:
if the number of chocolate changes the number of calories changes too
give brainlest if correct thank you :)
Please help I need to pass Mac
help me to answer the question
The Parker company employs 68 part time workers. If this represents 4% of the total work force, how many individuals work for the company?
Answer: ite will be 3 bc i done that all ready
Step-by-step explanation:
The number of individuals that work for the company is 272 workers.
Given,
The Parker company employs 68 part-time workers.
This represents 4% of the total workforce.
We need to find out how many individuals work for the company.
What is percentage?Percentage is a fraction or a ratio in which the value of whole is always 100.
Find the total workforce.
Total workforce = 100%
We have,
4% = 68 workers
Multiply 25 on both sides.
25 x 4% = 4 x 68 workers
100% = 272 workers.
This means the number of individuals that work for the company is 272 workers.
Thus the number of individuals that work for the company is 272 workers.
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8,326 x 9 =n
which is the answer?
A. 52,234
B.74,934
C.2,376
D.3008
E. none
Answer:
B
Step-by-step explanation:
Answer:
2376 square feet
Step-by-step explanation:
40 x 15 = 600
40 x 24 = 960
1/2 x (24 x 9) = 108
600 + 600 + 960 + 108 + 108 = 2376
HELP Not sure how to do this. Harry starts 10 miles away from home. For each minute his distance decreases by two miles. Write and graph an equation to represent this scenario.
Answer:
yes
Step-by-step explanation:
j divisional yapa Irapuato perforan otero POW ad teo o ñ usado rap xiii foro
The equation to represent this scenario is d(t) = -2t + 10.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, Harry starts 10 miles away from home.
For each minute his distance decreases by two miles.
Assuming no. of minutes to be 't' and distance to be d(t).
∴ d(t) = -2t + 10.
The graph of this is attached.
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Check all solutions to the equation. If there are no solutions, check "None."
x1 = 2
Someone please help ASAP!
Answer:
C -2
Step-by-step explanation:
it's -2 since lxl = -2 or 2
please help (there’s a picture)
The graph shows the amount of money paid when purchasing bags of candy at the zoo:
What is the constant of proportionality of the image shown below?
A. 1/2
B. 3/4
C. 1
D. 2
Answer:
D
Step-by-step explanation:
The proportions is 2
hope this helps
If f(x) = x2 + 3x + 1, what is f(x + 2)?
Answer:
- f(X+2) = x^2 +7x +11
Step-by-step explanation:
- f(X) = x^2 +3x+1
- f(X+2) =(X+2)^2 + 3(X+2) + 1
- f(X+2) = x^2 + 4x + 4 + 3x + 6 +1
- f(X+2) = x^2 +7x +11
Answer:
Step-by-step explanation:
x2+3x+1
f(x+2)= 2x+3x+1
=5x+1
Which of the following represents, "The difference between a number and elght Is twenty-two"?
A. N-8=22
B. 8 - N= 22
C. 8 - 22 N
Answer:
A.
Step-by-step explanation:
The difference means subtraction. The number mean a variable which is N. Then it is 8 (is means equal sign). Then 22 is the answer. The answer is N-8=22.
Have a great day!
lan walked 5 blocks home from school.His friend Kim walked x blocks farther.Write an expression for how far Kim
walked