Answer: y=2x-3
Step-by-step explanation:
It will cross the y axis at -3 and the x axis at 3/2
Which values of x and y would make the following expression represent a real number? (4+5i)(x+ yi)
Ox=4,y= 5
Ox=-4, y = 0
Ox=4, y=-5
Ox=0, y= 5
Answer:
C
Step-by-step explanation:
We have the expression [tex](4+5i)(x+yi)[/tex] and we want to find the values of [tex]x[/tex] and [tex]y[/tex] such that the expression will evaluate to a real number.
So, let's first expand the expression. Distribute:
[tex]=4(x+yi)+5i(x+yi)[/tex]
Distribute:
[tex]=4x+4yi+5xi+5yi^2[/tex]
Simplify:
[tex]=(4x-5y)+(4yi+5xi)[/tex]
So, we want to make the second part within the real numbers.
Notice that we only have two ways of doing this: 1) Either both [tex]x[/tex] and [tex]y[/tex] are imaginary numbers themselves canceling out the [tex]i[/tex], or 2), the entire expression equals 0.
Since our answer choices consists of only real numbers, this means that the imaginary part must be equal to 0. So:
[tex]4yi+5xi=0[/tex]
We can divide everything by [tex]i[/tex]:
[tex]4y+5x=0[/tex]
Now, we can use our answer choices.
Running down the list, we can see that the choice that works is C. If we substitute the values of C into the equation, we get:
[tex]4(-5)+5(4)=0\\\Rightarrow -20+20=0\stackrel{\checkmark}{=}0[/tex]
Therefore, our answer is C.
Answer:
c
Step-by-step explanation:
how to solve trial and error method i) y + 6 = 11
music lessons cost $20 per week how much do 6weeks of lessons cost
Answer:
120
Step-by-step explanation:
Answer:
$120
Step-by-step explanation:
20 × 6= 120
(it said my answer had to be 20 characters long so I typed this.)
Someone help me pls , i really wouldn’t like to fail :(
Answer:
the answer to that is gonna be B
Step-by-step explanation:
i just looked at the x's and divided them by 2 and compared the answers to y and those were the only ones that seemed to work lol..
A man basic wage for a 40-hour weekly is $160.00. He is paid $5.00 per hour for overtime . If he works 6 1/2 hours over time in a certain week his wage for that week is
help me please
Solve for x and y
Answer:
ouch math keeps getting harder and harder every time!
Step-by-step explanation: sorry ik this aint
wat u looking for
HELP PLEASE HELP I’m doing geometry please help
Answer:
(4x - 10) + x = 90 degrees
x = 20
Find three consecutive even integers such that their sum decreased by 34 is equal to the first integer. Find the first integer.
Answer:
The first number: 14
The second number: 16
The third number: 18
Step-by-step explanation:
Equations
Let's assume:
x=the first even number.
x+2=the second even number
x+4=the third even number
The sum of all three is: x + x + 2 + x + 4
The condition states the sum decreased by 34 equals the first number:
x + x + 2 + x + 4 - 34 = x
Moving all the variables to the left side and the numbers to the right side:
x + x + 2 + x + 4 - 34 - x = 34 - 2 - 4
Simplifying:
2x = 28
Solving:
x = 28 / 2 = 14
The first number: 14
The second number: 16
The third number: 18
A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the shadow to the tip of the flagpole is 32 degrees. how tall is the flagpole? round your answer to the nearest foot.
Apex: 25 feet is the correct answer!
Step-by-step explanation:
Take it or leave it:) Good Luck
The height of the pole is 25 foot (approximate)
What is angle of elevation?The angle of elevation is the angle formed between the horizontal line and a given observer’s line of sight. From its name, the angle of elevation represents the angle formed by the ground or base and the direction or the observer’s line of sight as the observer looks up at an object.
Given,
The shadow of the flagpole = 40 foot,
and the angle from the tip of the shadow to the tip of the flagpole = 32°
Perpendicular is the height of the pole and Base is its shadow.
Tan(x)=(perpendicular)÷(base)
Tan(32°) = 0.624869352
0.624869352 = (height of pole)÷40
0.624869352 x 40 = height of pole
24.9947741 = height of pole
Height of pole = 24.9947741
Height of pole ≈ 25 foot
Hence, tthe height of the pole is 25 foot (approximate)
Learn more about angle of elevation:
https://brainly.com/question/20692301
#SPJ2
If the perimeter of a
square is 60 feet, what is
the area of the square?
Answer:
225 ft I believe
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.
Bugs Bunny wanted to buy some new signs to use to trick Daffy Duck. Each sign costs $12, and tax is only 6% in Looney Tune Land. How much would Bugs pay for three signs with tax?
(Please show work too :) )
Answer:
$38.16
Step-by-step explanation:
12*3=36
36*0.06=2.16
36+2.16=38.16
Hope this helps! :)
What is 7x9? State your sentence below.
Answer:
63
Step-by-step explanation:
7x9= 63
or you could do 9x7=63
Answer:
63
Step-by-step explanation:
7+7+7+7+7+7+7+7+7=63
el 30% del 40% de 60 es/ 30% of 40% of 60 is
Step-by-step explanation:
uiuhhhghjsjsisbsidgurdbridbr d
y = -x – 1
What’s the slope?
Answer:
m = − 1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The slope formula is y=mx + b. m is the slope and b is the y-intercept. m is the number that x is being multiplied by. In this problem, you just see -x, so m= -1.
HELP ME PLS ITS 3AM IM TIRED // geometry HL AND CPCTC
Answer:
b
Step-by-step explanation:
angle b = angle e = 90 (given) R
if ac = df H
bc = ef (given) S
Find the explicit formula and the value of the term indicated in 45, 40, 35, 30, ...; a50
Answer
25,20,15,10,5,0
HELP NOW PLZZZZZ HELPPPPPPPPPPPP
Answer:
y = 4/3x -11
Step-by-step explanation:
y = -3/4 x - 8
This is in slope intercept form
y = mx+b where the slope is -3/4
We want a slope that is perpendicular
Take the negative reciprocal
-1 ( -3/4) = 4/3
The slope of the line that is perpendicular is 4/3
Using the slope intercept form of a line is
y = mx+b
y = 4/3x+b
Substituting the point into this equation
-3 = 4/3(6) +b
-3 = 8+b
Subtract 8 from each side
-3-8 = b
-11 =b
y = 4/3x -11
Total bill of four pairs of shoes came to $69.25 what is the average price for each pair of shoes
Answer:
Each pair is $17.31 average
Step-by-step explanation:
All you do is divide $69.25 by 4
Answer:17 or 18....17.31 that's what it gave me but if you rounded to the nearest number that could be your answer
Step-by-step explanation:
Linda has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Linda has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Linda pedals, x, and the number of times the wheels rotate, y. The equation that models this relationship is y=3x. How many times do the wheels rotate when Linda pedals 2 times? Write your answer as a whole number or decimal
Answer:
6 times
Step-by-step explanation:
Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;
y = 3x
How many times do the wheels rotate when Linda pedals 2 times
Here, x = 2
From ; y = 3x
y = 3(2) = 6
Hence, wheel rotates 6 times.
Answer:
Step-by-step explanation:
Darnell is building a model submarine using a scale of 1 inch = 16 feet.
a. The finished length of the model is 27 inches. What is the actual length of the submarine?
b. Suppose Darnell creates another model and decides to use a different scale. An actual length of 42 feet is shown on the new model as 12
inches. Complete the ratio for the new scale.
1 inch = feet
Answer:
A. 432 feet.
(I'll let somebody else answer B cause im to dum for dat)
Step-by-step explanation:
I did the math and checked :)
Geometry homework!
Hiii I’m having a really hard time with my homework, by any chance do you know the right answer?
Thank you!
Answer:
D
Step-by-step explanation:
The numbers between the < , > show the change from the preimage to the image. So, <-2,3> would be the x - 2 and the y + 3.
So, A(5,6) -> A'(3,9)
B(6,-3) -> B'(4,0)
C(7,2) -> C'(5,5)
What would be the best first step in solving 0.05x + 0.01 = 0.025? Explain.
Answer:
Step-by-step explanation:
it would be to subract 0.01 from 0.025 because you want to get the x by itself
What is the 325th Triangular number?
Answer:52813
Step-by-step explanation:
To get the 325th triangular number all you have to do is n x (n+1) /2
N=325
325 x 325+1
325x325=105625
105625+1=105626
105626/2=52813
There you go=52813 is the 325th triangular number
Please help
Use the table below to answer this question:
x y
−1 -3
0 -1
2 3
Find the average rate of change for the given function from x = −1 to x = 2.
Answer:
;)
Step-by-step explanation:
The sum of two consecutive odd integers is 84. Find the two integers.
Step 1 of 2: Set up an equation using the variable n as the smallest integer. Do not solve the problem.
Answer
Tutor
Skip
© 2020 Hawkes Learning
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.
Answer: n + (n + 2) = 84
Step-by-step explanation:
If n is the smallest integer, the other integer must be two more than that, because it has to be odd. The two numbers add up to 84, so the other side of the equation is 84.
Answer:
41 and 43.
Step-by-step explanation:
We can divide 84 by 2 and add and subtract 1 from the result to get 41 and 43 as the two numbers. For any number n that is divisible by 2, we can solve this problem by finding n/2 + 1 and n/2-1. These will always be consecutive odd numbers and if you add them up, you get n.
17+7j=87
What does j equal???????
Answer:
j=10
Step-by-step explanation:
17+7j=87
7j=70
j=10
What is 16 divided by 12?
Answer:
The answer is 4/3
Step-by-step explanation:
Hope this helps!!
Zevel overheard Bradley say he got a 66% on the last test. If Zevel only got one-third what
Bradley got, what is Zevel's score?
Answer:
22
Step-by-step explanation:
66 ÷3=22
3= one third
Write and evaluate the expression. Then, complete the statements.
six more than the product of nine and a number
Evaluate when q = 6
A 2-column table with 5 rows. Column 1 is labeled Key words with entries six, more than, product, nine, a number. Column 2 is labeled Replace with entries 6, +, times, 9, q.
First, write the expression
6 + 9q
.
Second,
evaluate
6 in for the variable, q.
Third,
simplify
using
order of operations
.
The answer is
.
Answer:
first one is
6+9q
substitute
simplify
order of operations
the answer is 60
Step-by-step explanation:
i got it on edenuity what ever it
hope i helped :)
Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan...
What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?
Answer:
c)4:9
Step-by-step explanation: