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]
Alguien puede ayudarme porfavor es para hoy ...Se los agradeceria mucho
Answer:
english?
Step-by-step explanation:
the reciprocal of 4 is
the answer of ur question is 0.25
fracciones equivalentes a 2/7
chip and dip magazines ratio of men to women subscribers is 5 to 8 if they have 75000 women how many men
Answer:
46875
Step-by-step explanation:
Men :Women = 5 : 8
Total parts = 5+8 = 13
Total number be x
[tex]\dfrac{8}{13}*x = 75000\\\\\\x =75000*\dfrac{13}{8}\\\\\\x = 121875[/tex]
Number of men = 121875 - 75000 = 46875
Joanie earns $12 per hour, plus a $20 bonus completing the training program. This week Joanie earned $240. Write an equation to represent this situation.
Answer:
(12+20)x=240
Step-by-step explanation:
x=number of hours
If she earns $12 per hour and a $20 bonus you divide that from 240 to get the number of hours she worked.
Hope this helps :)
what is the slope intercept equation for the linear function represented by the table?
Answer:
the answer is a
Step-by-step explanation:
x=0 the first equation gives -4
andx= 2 6/2 = 3-4= -1
I started some of it but i’m really confused with the rest. Does anyone know how to do it?
Answer:
-4,1 -3,0 -2,1 -1,2 0,3 1,4 2,5 3,6 4,7
Step-by-step explanation:
when x increases by one, so does y. The slope of the line is 1 btw.
please help I don't understand what it wants :(
NO LINKS!!!!!!!!
Below are two parallel lines with a third line intersecting them.
× = ____ °
Answer:
x=116°
Step-by-step explanation:
we have two parallel line and x=116
_ please answer this question .
Answer:
For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.
For the "Standard" column, it will be
7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get
y = -7/2x + 3.)
For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵
This is the point-slope formula.⤵⤵⤵
[tex]y - y _{1} = m(x - x _{1})[/tex]
For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.
So we have: y - (-4) = -7/2(x-2).
In other words, "Point Slope" would be
y + 4 = -7/2(x-2).
By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)
Please help me with this MATH question.
Answer: first and third choice
Step-by-step explanation:
it would be the first and third choices. the first choice employs the distributive property— it distributes b to x and c.
the third choice performs opposite operations. so instead of multiplying b by (x+c) it does the opposite and divides it by both sides
please help i will make you brainliest
three step equations
Answer:
6:
x= 6(y−2)/5
8:a=−(b+c+4)
b=−(a+c+4)
Step-by-step explanation:
hey i need help on this question even if you can only answer one of the three boxes
but if someone can do 2 or more that would be very apricated
thanks!
Answer:
I don't see boxes?
Step-by-step explanation:
I do not see any boxes sorry for the inconvenience
CAN SOMEONE PLEASE HELP ME!! this is like my 4th time trying to re-answer this question so PLEASE help!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
Answer:
go to https://www.rcboe.org/cms/lib010/GA01903614/Centricity/Domain/1030/Ch.%203.3.pdf
Step-by-step explanation:
i think that will help
Robert climbed 775 step in 12 1/2 minutes.
How many steps did he average per minute?
Answer:
62
Step-by-step explanation:
775 steps divided by 12.5 minutes is 62 steps per minute.
Plzzzzz help meeeee plzzz
Answer:
1 Meter equals 100 Centimeters, therefore 1 Square meter is equal to 100 centimeters squared. Thus, [tex]1 M^{2}[/tex] is equal to [tex]100^{2}[/tex] when counting in Centimeters square. Now that we have gotten the basics down, Lets convert the other necessary units.
[tex]1 m^{2} = 10,000 cm^{2}[/tex]
[tex]1 mm^{2} = 0.01cm^{2}[/tex]
[tex]1 km^{2} = 1,000,000 m^{2}[/tex]
Now, using that knowledge, we can find the answers to all questions.
1) 0.15 [tex]m^{2}[/tex]
2) 0.086 [tex]m^{2}[/tex]
3) 0.1 [tex]cm^{2}[/tex]
4) 600,000 [tex]cm^{2}[/tex]
5) 0.0001 [tex]km^{2}[/tex]
6) 400 [tex]cm^{2}[/tex]
7) 52,100 [tex]mm^{2}[/tex]
8) 500,000 [tex]m^{2}[/tex]
9) 0.087 [tex]mm^{2}[/tex]
10) 50 [tex]cm^{2}[/tex]
That's all folks!
Jerry eats one-fourth of a pecan pie. Sally eats
one-fifth of the same pie. Rose comes home from
school and eats two-tenths of the same pie. How
much of the pie has been eaten?
Answer:
13/20 or .65
Step-by-step explanation:
1/4 + 1/5 + 2/10 = Total amount eaten
Find a common denominator is 20
1/4 = 5/20
1/5 = 4/20
2/10 = 4/20
13/20
write the following equations in the statement form...
1) 2a + 7 =15
pls ans fast but as statement form
Answer:
4 or 2 times unknown number added with 7 it gives 15
Step-by-step explanation:
2a+7=15
2a=15-7
2a=8
a=4
Answer:
2a+7=15
2a=15-7
2a=8
2a/2=8/2
a=4
you are given a fraction in simplest form. the numerator is not zero.when you write the fraction as a decimal,it is a repeating decimal. which numbers from 1 to 10 could be the denominator
Answer:
3, 6, 7, 9
Step-by-step explanation:
We can take a look at each value from 1 to 10
We see that for 3, 6, 7, and 9 the decimal repeats forever for some numerators. For example, 1/3 repeats forever, 4/6 repeats forever, 5/7 repeats forever, 1/9 repeats forever.
5/6 divided by [13/11]
Answer:
0.70512820512 round to the nearest hunderth
Step-by-step explanation:
solving systems of equations in three variables
Answer:
A: (x = 34, y = -27, z = -1)
Step-by-step explanation:
Plug the variables in. It might be tedious, but it guarantees you get it right.
Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.
In case you still weren't sure if the answer was A or not;
B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.
C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.
D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!
A is the correct answer.
The hypotenuse of a right triangle measures 9 cm and one of its legs measures 4 cm. Find the measure of the other leg.
Answer:
The other leg is √65 cm
Step-by-step explanation:
Hi there!
We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm
We want to find the measure of the other leg
In right triangles, we can use the theorem to find the value of a side, if we know the lengths of the other two sides
The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse
If we say a is 4 and c is 9, then the equation will look like this:
(4)²+b²=(9)²
Raise each number to the second power
16 + b²= 81
Subtract 16 from both sides
b²=65
Take the square root of 65
b=√65, -√65
-√65 is not an applicable root for this problem, since distance cannot be negative
Hence, our answer is √65 cm
Hope this helps!
What is the closed form definition for the sequence below?
4, -12, 36, -108,...
Note that 4 is considered the 1st term.
Answer:-108
Step-by-step explanation:
you need to put them in order from least to greatest 4, 36, -12, -108
87.2- somthing=61.2
what is the awnswer
Answer:
26.0
Step-by-step explanation:
87.2-61.2= something
something is= 26
How Many Solutions Does 6 + [tex]\frac{x}{5}[/tex] = [tex]\frac{x}{5}[/tex] - 5 - [tex]\frac{3x}{10}[/tex] Have?
A. One solution
B. Two solutions
C. No solutions
D. Infinitely many solutions
Answer:
A. One solution
Step-by-step explanation:
6 + x/5 = x/5 - 5 - 3x/10
Cancel equal terms on both sides.
6=-5-3x/10
Multiply both sides of the equation by 10.
60=-50-3x
Move the variable to the left-hand side and change the sign.
60+3x=-50
Move the constant to the right-hand side and change the sign.
3x=-50-60
Calculate the difference.
3x=-110
Divide both sides by 3.
x=-110/3
=-36 2/3
Meaning one solution.
Hope this helps :)
Answer:
The answer you are looking for is A
ssion 4 x (20 – 1) if a = 3?
What the answer?
Answer:
20Step-by-step explanation:
Question:4 × (2a - 1)
Given value:a = 3
Solution:4 × (2a - 1)
= 4 × (2(3) - 1) [Substituting the value of a=3]
= 4 × (6 - 1) [Simplification]
= 4 × 5 [On further simplification]
= 20
Hence, 20 is the required answer.
Answer:
20
Step-by-step explanation:
a = 3
4 × (2a - 1) =
= 4 × (2 × 3 - 1)
= 4 × (6 - 1)
= 4 × 5
= 20
help me with this please thank you mate
[tex] \: \: \: \: \: [/tex]
[tex](x,y) = ( - 8,0)[/tex]
refer to the attachmenthope it helps[tex] \: \: \: \: [/tex]
a = 3, k = 12, z = 6, h = 4
Evaluate the algebraic expression z + 15 = ??
Answer: 21
Step-by-step explanation:
[tex]z+15=?\\[/tex]
Substitute the value of z into the expression:
[tex](6)+15=21[/tex]
Answer:
21
Step-by-step explanation:
have a good day
Convert
1.8125 gallons to cups
Answer: 1.8125 gallons = 29 cups
Step-by-step explanation:
There are 16 cups in a gallon. Therefore, to convert gallons to cups we multiply the number of gallons by 16.
The number of gallons, in this case, is: 1.8125
So, we need to multiply 1.8125 by 16
1.8125 ⋅ 16 = 29
In the final analysis, 1.8125 gallons is equal to 29 cups.
, Hope this helps :)
Have a great day!!
One thousand families were surveyed to
determine the distribution of families by size. The
results follow.
Family Size 2
3
4
5 6 7 8
Frequency
350
200 245 125
66
10
To the nearest percent, the probability that a given
family has 3 people is [? ]%.
Answer:
Step-by-step explanation:
probability of an event: number of events that satisfy the criteria/ total number of events
number of events that satisfy the criteria (in this case the number of families with three people)= 200
total number of events= 1000
200/1000= 20%
7(x+2)-5(x+3=9(4-x)
Answer:
x = 37/11
Step-by-step explanation:
7(x + 2) - 5(x + 3) = 9(4 - x)
=> 7x + 14 - 5x - 15 = 36 - 9x
=> 2x - 1 = 36 - 9x
=> 11x = 37
=> x = 37/11
Hoped this helped.