Answer:
Step-by-step explanation:
1). 2x + y = 12 -----(1)
x = 9 - 2y -------(2)
By substituting the value of x from equation (2) to equation (1)
2(9 - 2y) + y = 12
18 - 4y + y = 12
18 - 3y = 12
3y = 18 - 12
y = 2
By substituting the value of x in equation (2)
x = 9 - 2(2)
x = 9 - 4
x = 5
2). x + 2y = 9 ------(1)
2x + 4y = 20
x + 2y = 10 -------(2)
Since, both the equations are the parallel equations,
Therefore, No solutions will be the answer.
3). x + 3y = 16 -------(1)
2x - y = 11 ---------(2)
Multiply equation (2) by 3 the add to equation (1)
6x - 3y + (x + 3y) = 16 + 33
7x = 49
x = 7
From equation (1),
7 + 3y = 16
3y = 9
y = 3
4). y = 11 - 2x -------(1)
4x - 3y = -13 -------(2)
By substituting the value of y from equation (1) to (2),
4x - 3(11 - 2x) = -13
4x - 33 + 6x = -13
10x = 33 - 13
10x = 20
x = 2
From equation (1)
y = 11 - 2(2)
y = 7
5). y = 10 + x -------(1)
-3x + 3y = 30
-x + y = 10
y = 10 + x ------(2)
Equations (1) and (2) are same.
Therefore, Infinite solutions will be the answer.
6). 2x + y = 11 --------(1)
x - 2y = -7 ---------(2)
Multiply equation (1) by 2 then add to equation (2)
4x + 2y + (x - 2y) = 22 - 7
5x = 15
x = 3
From equation (2)
3 - 2y = -7
2y = 3 + 7
y = 5
Please help!!! ASAP!
Answer:
so what we have to do first is multiply 9*10
which is 90 now we divide by two to get 45
now we multiply 45 by 20 to get
900
Hope This Helps!!!
Find the value please!!!
the answer is in the picture
the 3 three questions
Answer:
Step-by-step explanation:
#2 Should be many to one; the reason for this is when doing functions a proper one will have one input to one output.
#3 Should be D; same reasoning as above.
And sorry I am at a loss for #1.
Someone help me?????
Answer:
A. y = | x - 6 | - 3
Step-by-step explanation:
Hope this is helpful
Answer:
D
Step-by-step explanation:
when you look at the graph you can notice a kind of a curve at that point x is -6 and Y is -3 so what u have to do is replace -6 in position of x in the 4 answers and the one who's Y = -3 is your answer
Lily owed Megan $129.42. So far, she has paid Megan $32.56.
The remaining amount Lily has yet to pay Megan is $
Answer: $96.86
Step-by-step explanation:
Lily owed megan = $129.42
she has paid megan = $32.56
The remaining amount Lily has yet to pay Megan = $129.42 - $32.56 = $96.86.
Please mark me the brainliest
In a group of 26 pupils, 3 play the flute only.
5 play the piano only.
7 play neither instrument.
How many pupils play both instruments?
Here is a Venn diagram:
at pretend highschool there are 325 boys and 275 girls.
express the ratio of boys and girls
reduce to simplest form
Answer:
13:11
Step-by-step explanation:
325:275
If divided by 5 all through, you get 65:55, then by 5 again you get 13:11
Answer:
13/11 = 1.1818
Step-by-step explanation:
Boys/girls = 325/275 = 13/11 = 1 2/11 = 1.1818
I don't know what simplest form means.
Which of the following are possible
side lengths for a triangle?
A. 4, 9,4
B. 3, 8, 12
C. 8,8,9
As we know,
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
A. 4, 9, 4
[tex]4 + 9 > 4[/tex]
[tex]9 + 4 > 4[/tex]
[tex]4 + 4 < 9[/tex]
B. 3, 8, 12
[tex]3 + 8 < 12[/tex]
[tex]8 + 12 > 3[/tex]
[tex]12 + 3 > 8[/tex]
C. 8, 8, 9
[tex]8 + 8 > 9[/tex]
[tex]8 + 9 > 8[/tex]
[tex]9 + 8 > 8[/tex]
By observing the above,
the possible side lengths of a triangle are C. 8, 8, 9.
[tex]\frac {n! + (n + 1)!} {n!}[/tex]
help me in this please
(n! + (n + 1)!) / n! = n!/n! + (n + 1)!/n! = 1 + (n + 1) = n + 2
because (n + 1)! = (n + 1)n!.
If a set of scores for a variable is displayed in a frequency distribution polygon, which scale of measurement was used to measure the variable
Given: The set of scores for a variable is displayed in a frequency distribution polygon.
To find: We need to find which scale of measurement was used to measure the variable
Solution: A frequency distribution table is always either in interval or in ration scale.
Work out the area of the shaded
Hi there!
[tex]\large\boxed{73m^2}}[/tex]
Once again, divide the figure into 3 rectangles:
Top rectangle:
3m × 5m = 15m²
Long rectangle (subtract 5m from 9m to get the width):
12m × 4m = 48m²
Bottom rectangle:
2m × 5m = 10m²
Add up areas:
15m² + 48m² + 10m² = 73m²
Hhheeelllpppppppplllllzzzz
Answer:
D.
Step-by-step explanation:
Because it's shaded above both lines, both equations need a 'y >'
Explain why |−3| + |9| represents the distance between the points (−3Explain why |−3| + |9| represents the distance between the points (−3, −5) and (9, −5)., −5) and (9, −5).
Answer:
Here we need to use:
[tex]\sqrt{x^2} = |x|[/tex]
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Then the distance between:
(-3, -5) and (9, -5) is just:
[tex]D = \sqrt{(-3 - 9)^2 - (-5 - (-5))^2} \\\\D = \sqrt{(-3 - 9)^2} = |-3 - 9|[/tex]
because both numbers inside the absolute value, we can rewrite it as:
|-3 - 9| = |-3| + |-9| = |-3| + |9| = 12
So, by finding the distance between (−3, −5) and (9, −5), we got the given expression, in this way we prove that the given expression represents the distance between these points.
Answer:
under
Step-by-step explanation:
The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).
please write your answer with explanation
Answer:
Step-by-step explanation:
If cost price (CP) is greater than selling price (SP) , then the item is sold for loss.
Loss = CP - SP
Loss% = [tex]\frac{loss}{CP}*100[/tex]
If SP is greater than Cp, then the item is sold for a profit.
Profit =SP -CP
Gain % = [tex]\frac{gain}{CP}*100[/tex]
a) CP = $50 ; SP = $30 ; CP > SP, loss
Loss = 50 - 30 = $ 20
Loss % = [tex]\frac{20}{50}*100=20*2[/tex]
= 40% loss
b) CP = £ 5000 ; SP = £6250 ; SP > CP , Profit
Profit = 6250 - 5000 = £ 1250
Profit % = [tex]\frac{1250}{5000}*100=25[/tex]
25% Profit
Evaluate the function. f(x)=−x^2 −6x+12 Find f(4)
1. How to find f(4)?
I explained how to find f(5) in your previous question. It is exactly the same. We substitute x = 4 in the equation.2. Substitution and Evaluate
[tex] \large{f(4) = - {(4)}^{2} - 6(4) + 12} [/tex]
Follow BODMAS/PEMDAS rules as well! Exponent first.
[tex] \large{ f(4) = - 16 - 24 + 12} \\ \large{f(4) = - 40 + 12} \\ \large{f(4) = -2 8}[/tex]
3. Final Answer
f(4) = -28.The perimeter of a rectangular plot is 36 metres. The length is 6 metres more than the width. What is the area of the rectangular plot?
Answer:
72 m^2
Step-by-step explanation:
Perimeter = 36
Length + width = 18
w + w + 6 = 18
2w + 6 = 18
2w = 12
w = 6
Length + 6 = 18
Length = 12
Area = 6 * 12 = 72 m^2
Please help me!
The Farmer's Ranch House
9. The farmer's house is shown in the diagram below. He wants to build a screened-in patio on the back of his house.
Use the figure to answer the questions. (6 points)
a The area of the patio is planned to be (x + 10x - 200) square feet. What will the length be?
Patio
Patio
**10) - 0-10)
Original
House
b.
What is the area of the original house in simplest form?
Terigth
c
The farmer decides to extend the width of the patio. The area of the patio with the extension is now (x2 + 12x-160) square feet. By how
many feet will the patio be extended from what you found in part a?
Answer:
The answer is below
Step-by-step explanation:
a) The patio is in the form of a rectangle. The patio has a width of (x - 10) ft. Therefore given that the area of the patio is x² + 10x - 200, hence:
[tex]Area=length*breadth\\\\x^2+10x-200=length*(x -10)\\\\x^2+20x-10x-200=length*(x -10)\\\\x(x+20)-10(x+20)=length*(x -10)\\\\(x-10)(x+20)=length*(x -10)\\\\length=x +20[/tex]
b) Area of original house = length of house * breadth of house
The length of house = length of patio = x + 20; breadth of house = x + 10; therefore:
Area of original house = (x + 20)(x + 10) = x² + 10x + 20x + 200
Area of original house = x² + 30x + 200
c) If the width is extended, hence:
[tex]Area=length*breadth\\\\x^2+12x-160=(x+20)*width\\\\x^2+20x-8x-160=(x+20)*width\\\\x(x+20)-8(x+20)=(x+20)*width\\\\(x-8)(x+20)=(x+20)*width\\\\width=x-8\\\\Extended \ width=(x-8)-(x-10)\\\\Extended \ width=2\ feet[/tex]
The nth term for the question
Answer:
Step-by-step explanation:
1) nth therm = dn + (a - d)
-10n + (11+10)
-10n + 21
t11 = -110 + 21 = -89
2) nth therm = 3n + (-66 - 3)
3n - 69
t16 = 48 - 69 = -21
In a golf tournament Ned was 6 under par on Saturday and 7 over par on Sunday. What was the difference in his score on Sunday compared to his score on Saturday?
Answer: 13.
Step-by-step explanation:
Since Ned was 6 under par on Saturday and 7 over par on Sunday, the difference in his score on Sunday compared to his score on Saturday will be:
= 7 - (-6)
= 7 + 6
= 13
Therefore, the difference in the scores on Saturday compared to that of Sunday is 13
PLSSS help me solve this question
Answer:
(3,-5)
Step-by-step explanation:
The line y=-x is a positively sloped line that when reflected across changes all signs to their opposite counterpart. Positivee to negative, negative to positive.
I need help asap!! round your answer to the Nearest tenth.
Answer:
25.1
Step-by-step explanation:
the volume of a cone is V=πr^2(h /3)
Which of the following best describes the line of symmetry?
A. The line that is perpendicular to the design
B. The line that is parallel to the design
C. The line that divides the design into two similar parts
D. The line that divides the design into two congruent parts
Answer:
C the line that divides the design into two similar parts
The line of symmetry divides the design into two similar parts.
What is a line of symmetry?"The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. "
A line divides a design into two parts.
If the line is described as the line of symmetry, then the two parts that are divided by this line are similar parts.
Learn more about line of symmetry here: https://brainly.com/question/1389470
#SPJ2
If < W and < Y are supplementary, and < W = 121 °, then what would < Y measure?
Select one:
a. 121 °
b. 69 °
c. 59 °
d. 13 °
Answer:
Option c. 59°
Step-by-step explanation:
<W+<Y=180
121+<Y=180
<Y=180-121
<Y=59
Answered by GAUTHMATH
Show how you arrived at your answers.
Kenzie says that x? + 25 can be factored into (x + 5). Ariana says that
it cannot. Who is correct? Explain your answer.
Step-by-step explanation:
if that's x^2+25
they can be factored to x+5
because the factor of x^2 is x cause x multiplied by x is x^2 and the factor of 25 is 5 cause 5×5 is 25
Instructions: Problem 1 ! Find the missing angle in the image below. Do not include spaces in your answers
Answer:
40 degrees
Step-by-step explanation:
The 100 degree angle is supplementary to angle CED. This means CED will end up being 80 degrees. Since the angles in all triangles equate to 180 degrees 80 + 60 + angle D must equal 180 degrees. Therefore, angle D has to be 40 degrees.
Which of the following is an arithmetic sequence?
What is the radius of the circle: x^2+y^2=4
1. -2
2. -4
3. 4
4. 2
Answer:
2
Step-by-step explanation:
→ The radius of a circle is square root the 4
2
Find the distance between (1, 2) and (5,2)
The points lie in______
The distance is________
expand the following:
a) 8(×-2y)
Answer:
8x-16y
Step-by-step explanation:
8*x-8*2y
8x-16y
Answer.
8x - 16y
Explained in the picture atteached:
Find the slope between the points (−3,−5) and (10,-5)
. Enter DNE if the slope between the points is undefined.
Answer:
0
Step-by-step explanation:
[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex] m = \dfrac{-5 - (-5)}{-3 - 10} [/tex]
[tex] m = \dfrac{0}{-13} [/tex]
[tex] m = 0 [/tex]
from -3 to 10 are 13 steps to the right and from -5 to -5 0 steps up or down.
devide the steps up by the steps to the right
0 / 13 = 0
in this case it's obvious, but I hope you see the method how to do this. you would normally get a more interesting fraction as a slope.