Answer:
[tex]x=\frac{27+\sqrt143i}{8}{} ,\frac{27-\sqrt{143i} }{8}[/tex]
[tex]y=-9+\frac{27+\sqrt{143} i}{4} ,-9+\frac{27-\sqrt{143} i}{4}[/tex]
Step-by-step explanation:
1) Solve for 2x - y = 9
A. Solve for y.
2x - y = 9
B. Subtract 2x from both sides.
-y = 9 - 2x
C. Multiply both sides by -1.
y = -9 + 2x
D. Regroup terms.
y = 2x - 9
2) Substitute y = 2x- 9 into 4x² + 3y² - 2x + y = 16
A. Start with the original equation.
4x² + 3y² - 2x + y = 16
B. Let y = 2x - 9.
4x² + 3(2x - 9)² - 2x + 2x - 9 = 16
C. Simplify.
16x² - 108x + 234 = 16
3) Solve for x in 16x² - 108x + 234 = 16
A. Solve for x.
16x² - 108x + 234 -= 16
B. Move all terms to one side.
16x² - 108x + 234 - 16 = 0
C. Simplify 16x² - 108x + 234 - 16 to 16 x² - 108x + 218
16 x² - 108x + 218 = 0
D. Use the Quadratic Formula.
[tex]x=\frac{108+4\sqrt{143}i }{32}[/tex], [tex]\frac{108-4\sqrt{143} i}{32}[/tex]
E. Simplify solutions.
[tex]x=\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143} i}{8}[/tex]
4) Substitute [tex]x=\frac{27+\sqrt{143}i }{8} ,\frac{27-\sqrt{143}i }{8}[/tex] into y = 2x - 9.
1) Start with the original equation.
y = 2x - 9
2) Let x = [tex]\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143}i }{8} .[/tex]
[tex]y=2*\frac{27+\sqrt{143} i}{8} -9,2*\frac{27-\sqrt{143}i }{8} -9[/tex]
3) Simplify
[tex]y=-9+\frac{27+\sqrt{143}i }{4} ,-9+\frac{27-\sqrt{143i} }{4}[/tex]
please help me with this:(((((
a student says that if 5x^2 = 20, then x must be equal to 2. do u agre or disagree with the student? justify your answer.
Answer:
The student is correct.
Step-by-step explanation:
Given that 5x² = 20:
It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:
5x² = 20
5(2)² = 20
5(4) = 20
20 = 20
Therefore, the student is correct that x = 2.
1.
Prove that AMNO is congruent to AXYZ using triangle congruency theorems.
M
Given: ZMLX
2N =zY
YO NZ
Prove: AMNO = AXYZ
Z
I
Answer:
yes they are
Step-by-step explanation:
they are both congruent because they are the same shape and size, they are just on opposite sides
(congruent means that 2 objects are the same shape and size)
Answer:
yes they are
Step-by-step explanation:
Write a linear function f with the given values. (-4,-2)(-2,-1)(0,0)
Answer:
The slope is: (y1 - y2)/(x1 - x2) = [(-1) - (-10)] / [0 - 3] = 9/-3 = -3. So the slope is -3. To plug the values into the point slope form
Step-by-step explanation:
For this, you are just looking for x and y coordinates
10 points
A bank charges $27 every week. Which integer shows the amount
charged after 5 weeks?
Answer:
135
Step-by-step explanation:
27 x 5 =135
I need help i will give brainly
A grain silo on a farm holds 500 pounds of grain. The equation shown represents the total amount of grain, y, remaining in the silo x minutes after the farmer begins to release the grain.
y=−5x+500
What does the -5 represent in the equation in reference to this situation?
Answer:
the negative 5 is showing that you are losing grain in the silo because you are letting some out.
EXAMINE THE PARAGRAPH PROOF. WHCIH THEOREM DOES IT OFFER PROOF FOR?
Answer:
The answer is C.
Step-by-step explanation:
The theory of vertical angles, often known as the theorem of vertically opposite angles. According to the theorem, two opposed vertical angles created when two lines cross one other are always equal (congruent) to each other no matter what the circumstances are.
The perimeter of an equilateral triangle is 24 cm. Find the length of each sides
Answer:
8cm
Step-by-step explanation:
An equilateral triangle means that all the sides are equal (the same length). A triangle has 3 sides so all we have to do is:
24/3 = 8
Each side is 8cm long
Answer:
Length of each sides = 8 cm
Step-by-step explanation:
Given the perimeter of an equilateral triangle, 24 cm:
Equilateral triangles have three congruent sides.
Hence, to find the length of an equilateral triangle, simply divide the perimeter by 3 (since an equilateral triangle has three equal sides).
Perimeter of an equilateral triangle = 24 cm
Side = 24 cm ÷ 3 = 8 cm
Therefore, the length of each side is 8 cm.
Graph the function
g(x)=10×3/5
Answer:
It is a horizontal line through y-coordinate 6.
Step-by-step explanation:
Because 10*3/5=6.
Susan has a collection of 90 nickels and dimes. If the number of nickels is five times the number of dimes, how many nickels and how many dimes does she have?
Answer:
15 Dimes and 75 Nickles
Step-by-step explanation:
N = Nickles
D = Dimes
5D + D = 90
6D= 90
D= 15
90 - 15 = 75
N = 75
There are 75 nickels and 15 dimes does she have.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Susan has a collection of 90 nickels and dimes.
And, The number of nickels is five times the number of dimes.
Now,
Since, The number of nickels is five times the number of dimes.
Let number of dimes = x
Then, Number of nickels = 5x
Since, Susan has a collection of 90 nickels and dimes.
Hence, We can formulate;
⇒ 5x + x = 90
⇒ 6x = 90
⇒ x = 15
Thus, The number of dimes = 15
And, Number of nickels = 5 × 15 = 75
Therefore, There are 75 nickels and 15 dimes does she have.
Learn more about the mathematical expression visit:
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Find a translation that has the same effect as the composition of translations below. (x,y) → (X + 2, Y + 2) followed by (x,y)=(x-1,y+5)
Choose the correct answer below.
O A. (x,y)=(x+3.y + 7)
OB. (x,y)=(x + 1 y + 7)
OC. (x,y)=(x + 1,y-3)
OD. (x,y)=(X+3.y-3)
urgent will mark brainliest!!!
B) (X + 1, Y + 7)
We start with X + 2, we then take away X - 1, we are left with X + 1.
We start with Y + 2, we then add Y + 5, we are left with Y + 7.
The only option that has both X + 1 and Y + 7 is B.
I hope this helps! :)
I need help with this pls
Answer:
what is the imaginary part of 84-25i
Step-by-step explanation:
the result is -25i
I hope I've helped
1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation
2.) find the slope a y-intercept of y=(-7x)-10
Slope = ________
y-intercept = _________
Answer:
Step-by-step explanation:
1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation
I'm not sure what kind of response this question is seeking. I can only write:
1.) The graph of y = -7x - 10 is a linear equation that shows the ? slope and y-intercept to the equation
I don't think these are the answer sought, but it's the best I can think of at the moment.
2.) find the slope a y-intercept of y=(-7x)-10
The slope is -7 and the y-intercept is -10.
i need help with this question but keep f
getting decimals, it's not supposed to be a decimal for the answer. were solving systems by substitution
here's the question and will give brainy to someone who solves both
4x - 7y = 10
y = x - 7
x = 16 - 4y
3x + 4y = 8
Answer:
1. y=18, x=25 2. y=5, x=-4
Step-by-step explanation:
For the first one, you have to find what x or y equals, and I chose x. x would equal y+7. Then I just plugged in x to the other equation and solved for y. After finding y, 18, I plugged it back into the first equation and got 18+7=25. I did the same steps for the 2nd one as well.
What is the Slope of the line containing the points (3,4) and (5,6)? Please help
Answer:
1
Step-by-step explanation:
Y2-Y1/X2-X1 would become 4-6/3-5 which would become-2/-2 and that equals 1 because its a whole number and when you divide or add two negative numbers, it becomes a positive
PLZ!!! HELP!!!!!
What is the slope
Answer:
zero slope
Step-by-step explanation:
horizontal lines are zero slope because they are not slanted (slope)
this is a horizontal line.
easy one for you folks.
Length = 4m
Width = ½ of length = ?
Then width will be,
→ 4 × 1/2
→ 4 ÷ 2 × 1
→ 2 × 1 = 2
Thus, 2 is the width.
If x = -7 and y = 2, evaluate the following expressions
i) (4y)² – (2x)²
ii) 4y² - 2x²
Answer:i)16y^2−4x^2
ii) i don't know the other one sorry
Step-by-step explanation:
Adam bought 6 dozen balloons and filled them all with air. The air cost him
$.25 each balloon to have filled. Then he divided the balloons between 12 children.
How much did he spend total on the air for the balloons?
Answer:
Adam spent in total 288
Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill? 36 48 52 56
Answer:52
Step-by-step explanation:.
By using the concept of the point-slope form of an equation,
The initial number of party favor bags Razi had to fill would be 52.
In this situation, the independent variable (x) is the amount of time in minutes.
The dependent variable (y) is the number of bags remaining.
Since he is working at a constant rate, this makes it a linear function.
In a linear function, the amount he had to fill, to begin with, is the y-intercept.
Since The point-slope form of the equation is,
y - y₁ = m(x - x₁)
First, we find the slope using the formula
m = (y₂-y₁)/(x₂-x₁)
m = (32-36)/(5-4)
m = -4/1
m = -4
Using this and the first point, we have
y - 36 = - 4(x - 4)
Using the distributive property, we have
y - 36 = -4(x)- 4(-4)
y - 36 = -4x--16
y - 36 = -4x + 16
Add 36 to each side:
y - 36 + 36 = -4x + 16 + 36
y = -4x + 52
So, for the initial number of party favor bags Razi had to fill;
Substitute x = 0;
y = - 4 (0)+ 52
y = 52
Hence,
The required initial number is 52.
To learn more about the equation of line visit:
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The missing table in the question is attached below.
which statement correctly compares the function shown on this graph with the function y = 3x - 6?
Answer:
Perpendicular
Step-by-step explanation:
The equation of the graph is y = 1/3x + 4
The slope 1/3 and 3 are opposite reciprocals, which indicates that the two lines are perpendicular.
-Chetan K
help me brain pt Part 1
If i can get 2 Amy's organic soup for $4 how much would it be for 1 Amy's organic soup?
Answer: $2
Step-by-step explanation:
just do 4 divided by 2 and your answer is 2
Answer:
$2 for 1 Amy's Organic Soup
Step-by-step explanation:
Since 2 of Amy's Organic Soup is = $4
Divide to find the Unit Rate for the cost of 1 soup.
Let x = Cost of Amy's Organic Soup
$4 = 2x
$4/2 = 2x/2
$2 = x
Is 11:17 the same as 17:11
Answer:
It is a ratio, which could mean yes and no, mattering which side of the ratio the number goes to.
Step-by-step explanation:
Answer:
yes because it is the same
HELP!!! need answers for these questions please. Thank You for anyone who solves atleast one of them!
5. 4/9 probability
Explanation; You would do (4/13)/(9/13) and that = 4/9.
5b. I don't really get it, it sounds like its asking the same thing.
I gotta go so i will finish later hopefully
Can anyone tell me the answer to this please?
Answer:
-4x + 2
Step-by-step explanation:
The outputs are decreasing by 4, so -4 is the slope, the coefficient for x.
The y- intercept is 2 because when x is zero, y is 2. You can find the y-intercept by adding 4 to -2, the output for when x is 1.
Answer:
y = -4x + 2
Step-by-step explanation:
First find the slope using this equation ....
y2 - y1/x2 - x2 =
plug in two ordered pairs (doesn't matter which one) ....
-2 - (-6)/1 - 2 =
-2 + 6/-1 =
4/-1 = -4
The slope is -4. The next blank is the y-intercept (0,y) ....
y = -4x + b
plug in any ordered pair ....
-2 = -4(1) + b
-2 = -4 + b
+4 +4
2 = b
Put it all together ....
y = -4x + 2
Help I’ll give brainylist in return thank you
Answer:
They are similar by AA
Step-by-step explanation:
Angle B and C are similar as well as angle ABE and DCE are similar
Can someone pls help me pls!
Answer:
refer to the picture attached for steps
-1/3(2p-9) what does p equal
Answer:
-2p/3+3
Step-by-step explanation:
Dave created a video that was originally 64 minutes long, but he ended up cutting it by 13%. How long was his video after he cut it?
Answer:
70 minute
it was help full