simultaneous equations
x^2+3xy=10
x=2y
Answers
9514 1404 393
Answer:
(x, y) = (-2, -1) or (2, 1)
Step-by-step explanation:
Substitute for x in the first equation:
(2y)^2 +3(2y)y = 10
10y^2 = 10
y^2 = 1
y = ±1
x = 2y = ±2
Solutions are (x, y) = (-2, -1) or (2, 1).
Related Questions
Which ordered pair is a solution to the equation y= 6x - 2?
(1,0)
(5, 28)
(6, 20)
(3, 19)
Answers
Answer:
(5, 28)Step-by-step explanation:
y= 6x - 2Verifying pairs:
(1,0)
0 = 6*1 - 20 = 4 - incorrect(5, 28)
28 = 6*5 - 228 = 30 -228 = 28 - correct(6, 20)
20 = 6*6 - 220 = 36 - 220 = 34 - incorrect(3, 19)
19 = 6*3 - 219 = 18 - 219 = 16 - incorrectPlease do quick
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $59.82
Answers
Answer:
$12
Explanation: 60 x .2= 12 + 60= $72
Of the 15 students in Danielle's class, 5 went to the zoo and the rest went to the aquarium. What is the ratio of the number of students who went to the aquarium to the total number of students?
Answers
Answer:
15:20=3:4
Step-by-step explanation:
Multiply out 3(2x-7)
Answers
Answer:
6x-21
Step-by-step explanation:
3*2x = 6x
3*-7 = -21
6x-21
A square plot of land will be fully used for a square swimming pool with a 5 foot wide walkway around it. The area of the entire plot, including the walkway, is A square feet. Which expression gives the length of the pool?
Answers
Answer:
The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
Step-by-step explanation:
Assume that the length of the pool is x feet
∵ The length of the pool is x feet
∵ The wide of the walkway around the pool is 5 feet
∴ The total length of the pool with the walkway = (x + 5) feet
∵ The area of the entire plot, including the walkway, is A square feet
∴ The area of the entire plot, including the walkway = A feet²
∵ The area of the square = (length)²
→ Substitute the length by (x + 5)
∴ The area of the entire plot, including the walkway = (x + 5)² feet²
→ Equate it by A
∴ A = (x + 5)²
→ To find x take square root for both sides
∵ [tex]\sqrt{A}[/tex] = [tex]\sqrt{(x+5)^{2}}[/tex]
→ Cancel the square root of the right side by power 2
∴ [tex]\sqrt{A}[/tex] = x + 5
→ Subtract 5 from both sides
∵ [tex]\sqrt{A}[/tex] - 5 = x + 5 - 5
∴ [tex]\sqrt{A}[/tex] - 5 = x
→ x represents the length of the pool
∴ The length of the pool is [tex]\sqrt{A}[/tex] - 5 feet
∴ The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
The length of the pool will be √A-10.
What is area?Area is defined as the total space taken up by a flat surface or shape of an object.
Given that, A square plot of land will be fully used for a square swimming pool with a 5-foot wide walkway around it. The area of the entire plot, including the walkway, is A square foot.
The area of a square is side².
Let the side of the walkway be (x+10)
A = (x+10)²
√A = x+10
x = √A-10
Hence, The length of the pool will be √A-10.
Learn more about area;
https://brainly.com/question/27683633
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HURRY UP IF YOU ANSWER THIS QUESTION CORRECT I WILL NAME YOU BRAINLY WHAT IS 129 SQUARED
Answers
Answer:
11.3
Step-by-step explanation:
Answer:
16641
Step-by-step explanation:
129 x 129=16641
HTH :)
if f(x)=g(x)-10 and g(x)=3x-18 then what would the equation
represent f(x)
Answers
Hello!
[tex]\large\boxed{f(x) = 3x - 28}[/tex]
If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):
f(x) = (3x - 18) - 10
Simplify:
f(x) = 3x - 28
I need HELPPPP!!!!! ASAPPPP
Answers
Answer:
<1 =100 (check explanation for why)
<2 = 80 (check explanation for why)
<3 = 100 (check explanation for why)
Step-by-step explanation:
You can get <1 from the given angle being a linear pair to <1, so:
180= 80+ <1
100= <1
You can get <2 from being a linear pair to <1, so:
180 = 100 + <2
80 = <2
You can get <3 from being a linear pair to <2
180 = 80 + <3
100= <3
Answer:
m<1= corresponding
m<2=vertical angle
m<3=consecutive interior angle
But i am not sure entirely.
A negative multiplied/divided by a negative (same signs) equals a _
positive
negative
Answers
Answer:
When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.
Step-by-step explanation:
Which of the following numbers can be expressed as repeating decimals? (5 points)
3 over 7 , 2 over 5 , 3 over 4 , 2 over 9 How can 38 over 6 be expressed as a decimal?
Answers
9514 1404 393
Answer:
Repeating decimals:
3/72/938/6 = 6.3_3 (repeating 3)
Step-by-step explanation:
[tex]\dfrac{3}{7}=0.\overline{428571} \quad\text{repea}\text{ting decimal}\\\\\dfrac{2}{5}=0.4\\\\\dfrac{3}{4}=0.75\\\\\dfrac{2}{9}=0.\overline{2}\quad\text{repea}\text{ting decimal}[/tex]
The improper fraction 38/6 = 19/3 = 6 1/3. As a decimal, this is ...
[tex]\dfrac{19}{3}=6.\overline{3}\quad\text{repea}\text{ting decimal}[/tex]
_____
The repeating part of a decimal fraction is conventionally written with an overbar, as shown in the typeset content above. In plain text, it is sometimes written with an underscore preceding the repeating digits.
What is the measure of \large \angle V?
Answers
Answer:
THe interior angles of any triangle equal 180
THerefore 48+87+v=180
48+87+v=180
87+v=132
v=45
Step-by-step explanation:
Allie created a garden in the shape a right triangle. Which set of measurements could represent the lengths of the sides of her garden
A. 1in, 5in, and 6in
B. 3ft, 3ft, and 4ft
C. 9cm, 9cm, and 9cm
D. 6m, 8m, and 10m
Answers
Answer:
D
Step-by-step explanation:
[tex] {c}= \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]c = \sqrt{ {6}^{2} + {8}^{2} } [/tex]
[tex]c = \sqrt{36 + 64} [/tex]
[tex]c = \sqrt{100 } [/tex]
[tex]c = 10[/tex]
Pythagorean theorem
If 2a = 3b, and 4a - 7 = 2b + 9. what is the value of a?
Answers
Answer:
1.5
Step-by-step explanation:
If ABC is congruent to DBE find x
Answers
Answer:
x=44 degrees
Step-by-step explanation:
5y-4 has to equal 81 in order for the two triangles to be congruent.
The sum of the interior angles of a triangle is always 180 degrees.
81+51=132 degrees
180-132=48
x+4=48
x=48-4
x=44 degrees
X=44 degrees
Explanation:I just did that in one of my questions in my work and I got it correct.
IGOOD LUCK AND HOPE U GET IT CORRECT ALSO :)
Kaniyah is making ribbons do school spirit day. Her roll of ribbon is 32 ft. long. For each individual ribbon, she needs 0.64 ft. How many ribbons can she make from her roll?
Answers
Answer 50 is the answer have a good day
Answer:
50 ribbons
Step-by-step explanation:
To find how many ribbons she can make, divide 32 by 0.64:
32/0.64
= 50
So, she can make 50 ribbons from her roll
Let f(x) = 7x - 2, g(x) = -x + 4, and h(x) = -4x + 1.
Perform the indicated operation.
1. f(x) + g(x)
2. f(x) + h(x)
3. h(x) + g(x)
4. f(x) - g(x)
5. h(x) - f(x)
6. g(x) - h(x)
Answers
Explanation:
1.
f(x) + g(x)
= (7x - 2) + (-x + 4)
= 7x - 2 - x + 4
= 6x + 2
2.
f(x) + h(x)
= (7x - 2) + (-4x + 1)
= 7x - 2 - 4x + 1
= 3x - 1
3.
h(x) + g(x)
= (-4x + 1) + (-x + 4)
= -4x + 1 - x + 4
= -5x + 5
4.
f(x) - g(x)
= (7x - 2) - (-x + 4)
= 7x - 2 + x - 4
= 8x - 6
5.
h(x) - f(x)
= (-4x + 1) - (7x - 2)
= -4x + 1 - 7x + 2
= -11x + 3
6.
g(x) - h(x)
= (-x + 4) - (-4x + 1)
= -x + 4 + 4x - 1
= 3x + 3
If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?
Answers
Answer:
Please read the explanied answer below.
Step-by-step explanation:
As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]We also know that a regular polygon has all the angles equal and all sides have the same length.
As we know:
Exterior angle = 360° ÷ No. of sidesWhen the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.
For example:
In terms of a triangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 3 = 120°
In terms of a rectangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 4 = 90°
and in the same way
360° ÷ 5 = 72 °
360° ÷ 6 = 60 °
360° ÷ 8 = 45 °
360° ÷ 9 = 40°
and so on.
I hope it may have solved your query.
The sixth root of (729x30 y 18 )?
Answers
x
30
y
18 is the 6th root
Which expressions give the monthly pay of an employee with 33 hours of training
Answers
Answer:
A-33(PAY) OR 33(P)
B-33 x pay or 33 x p
C-hours(33)or H(33)
D-pay(33) or p(33)
its D is correct hope this helps
Simplify each expression by combining like terms.
1) 11x + 9x
2) 8y - 7y
3) 5t - 7t
4) -n + 4n
5) 5w^2 + 12w^2
Answers
2.) 1y
3.)-2t
4.)3n
5.)17w^2
Factor the GCF: −14y2 + 12y − 22
Answers
Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).
Step-by-step explanation:
It’s almost your birthday and you are saving up to buy a car. So far, you have $300 in your account. Each month, you will deposit another $200
Answers
Answer:
300+200
Step-by-step explanation:
did not give a equation
Answer:
300 + 200x
Step-by-step explanation:
200 is the one that's changing so it has the x.
At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students was taken. What is the best point estimate for the average number of credit hours per semester for all students at the local college?
Answers
Answer:
1932 credit hours
Step-by-step explanation:
Create a proportion
credits credits
---------- = ----------
students students
14 ?
---- = -----
1 138
14 times 138
1932 credit hours
Which expression is equivalent to 4k+2k?
Answers
Answer:
it equals 6k but an equivalent expression could be 2k + 4k
Step-by-step explanation:
2k + 4k = 4k + 2k
Answer:
6k
Step-by-step explanation:
You can combine both of these terms because they both have the same variable (k). We know that 4+2=6, and the variable stays the same, 6k.
~theLocoCoco
What is the inequality for the graph [-7,3], [0,-4]
Answers
Answer:
[45]
Is the answer................
Lee buys a parcel of land in the shape of a rectangle. It has an area of 1,125 square feet and a width of 25 feet. What is the length of the parcel of land? Show your work.
Answers
Answer:
45 feet
Step-by-step explanation:
Area of a rectangle = length × width
Area of the rectangle = 1,125 square feet
Length of the rectangle = x feet
Width of the rectangle = 25 feet.
What is the length of the parcel of land?
Area of a rectangle = length × width
1,125 = x * 25
1,125 = 25x
Divide both sides by 25
x = 1,125 / 25
= 45
x = 45 feet
The length of the parcel of land is 45 feet
The quotient of a number and -7 is 8. What is the number?
Answers
Answer:
-56
Step-by-step explanation:
-56/-7 =8
I need help ion fully know what to do
Answers
the question is on then sheet
Answers
Answer:
6[tex]m^{2}[/tex][tex]n^{2}[/tex]-4mn+6
Step-by-step explanation:
PLEASE MARK BRAINLIEST I ONLY NEED 1 MORE!!!!!!!!![tex] = (11 {m}^{2} {n}^{2} + 2mn - 11) - (5 {m}^{2} {n}^{2} - 6mn + 17)[/tex]
[tex] = 11 {m}^{2} {n}^{2} + 2mn - 11 - 5 {m}^{2} {n}^{2} + 6mn - 17[/tex]
[tex] = (11 {m}^{2} {n}^{2} - 5 {{m}^{2} } {n}^{2} ) + (2mn + 6mn) + ( - 11 - 17)[/tex]
[tex] = 6 {m}^{2} {n}^{2} + 8mn - 28[/tex]
The other person is wrong
I can say that for sure.
if -13x-71=201 what is x
Answers
Answer:
272/-13 or −20.923
Step-by-step explanation:
To solve this equation you need to isolate the variable.
First, add 71 to both sides
-13x-71+71=201+71
-13x=272
Then, divide both sides by -13
-13x/-13=272/-13
So, x=272/-13 or −20.923