Answer:
The correct option is 'No Solution'.
Step-by-step explanation:
Given the system of the equations
[tex]y=\frac{1}{2}x-1[/tex]
[tex]2x-4y=12[/tex]
solving the system of the equations
[tex]\begin{bmatrix}y=\frac{1}{2}x-1\\ 2x-4y=12\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{1}{2}x-1[/tex]
[tex]\begin{bmatrix}2x-4\left(\frac{1}{2}x-1\right)=12\end{bmatrix}[/tex]
[tex]2x-4\left(\frac{1}{2}x-1\right)=12[/tex]
[tex]2x-2x+4=12[/tex]
[tex]4=12[/tex]
as
4=12 is false, therefore the system of equations has no solution.
Therefore, the correct option is 'No Solution'.
Find the area of the Compound shape
The answer is 45 m^2
I just need the steps....
Answer:
45 cm^2
Step-by-step explanation:
Dividing the shape into the two separate components of a square and a triangle makes it easier.
The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.
Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.
Which would be 1/2*6*3=9cm^2.
Adding the two, 9+36= 45cm^2.
what is one hundredth less than 0.549
Answer:
0.449
Step-by-step explanation:
one hundreth is this 0.100 so if u take that away from 0.549 u get 449
I don’t know how to set it up nor do it please help me
Answer:
The value of x is 3
Step-by-step explanation:
∵ Quadrilateral ABCD is congruent to quadrilateral JKLM
∴ AB = JK and BC = KL
∴ CD = LM and AD = JM
∵ BC = 8x + 7
∵ KL = 31
∵ BC = KL
→ Equate their right sides
∴ 8x + 7 = 31
→ Subtract 7 from both sides
∵ 8x + 7 - 7 = 31 - 7
∴ 8x = 24
→ Divide both sides by 8 to find x
∴ [tex]\frac{8x}{8}[/tex] = [tex]\frac{24}{8}[/tex]
∴ x = 3
∴ The value of x is 3
A parallelogram is a rectangle if and only
if its diagonals are congruent.
Answer:
A parallelogram is a rectangle if and only if its diagonals are congruent. A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with four congruent sides. If a parallelogram has two consecutive sides congruent, it is a rhombus.
Step-by-step explanation:
A party planner estimates a party will cost $200 plus $8 for each person attending. What is the y-intercept of the graph of the linear function representing the total cost of the party?
Answer:
The y intercept is 200
Step-by-step explanation:
Given
Base Cost = 200
Per person =8
Required
Determine the y intercept
First, we need to determine the equation.
The total amount (y) for x persons can be calculated using:
y = Base Cost + Amount per person * x.
This gives
y = 200 + 8 * x
y = 200 + 8x
The general expression of a linear equation is:
y = mx + b
Where b = y intercept
By comparison,
b = 200
Hence, the y intercept is 200
Find the slope (0,0) and (4.16)
Find the slope (0,0) and (4,8)
Answer:
first one is 4
second is 2
Step-by-step explanation:
let me know if you need to show work
Answer:
first one is 4, 2nd one is 2
Step-by-step explanation:
If every 1 in 20 plants will not bear fruit. If 200 plants are planted, how many will produce fruit?
Answer:
Step-by-step explanation:
If 1 /20 will not bear fruit then
19/20. Will bear fruit
use ratio method
19/20 = x/200
find x by finding an equivalent fraction
x = 190
190 plants will produce fruit
The circumference of a circle can be found using the formula C = 2πr.
Which is an equivalent equation solved for r?
Answer:r=C/2π
Step-by-step explanation:
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PLZ HURRY IT'S URGENT!!!!
Represent the situation as a system of equations.
Rent a Truck rents a moving truck for $40.00 and $0.20 per mile.
Moving R Us rents the same moving truck for $1.00 per mile but with no upfront charge.
Let x represent the number of miles traveled.
Question 5 options:
y=40x+0.20 y=x+1
y=0.20x+40 y=x+1
y=40x+0.20 y=1.00x
y=0.20x+40 y=1.00x
Answer:
y=0.20x+40; y=1.00x
Step-by-step explanation:
Company 1 is charging upfront and then after u have a unknown variable for how many miles you drive. Company 2 is only charging you 1.00$ per mile driven and depending on how many miles you drove will depend on how much you will pay.
82 is what percent of 65.6?
Answer:
125
Step-by-step explanation:
82 percent of 65.6 is 125
Answer:
I hope I got your question correctly.
82% of 65.6 is 54.
Step-by-step explanation:
Consider this equation:
P%=[tex]\frac{x}{y}[/tex]
The value of P% here is 82, which is 0.82 in decimal form.
x is unknown
y is 65.6
Simply cross-multiply 65.6 and 0.82.
The result is 53.8 or 54.
What is 19 less than a variable n
Answer:
-19+n
OR
n-19
Step-by-step explanation:
Please help me with your the question attached below. Please show work I would like to learn this.
THANK YOU!
Answer: m∠5 = m∠7 = 67°
because a//b => m∠4 + m∠5 = 180°
⇔ 113° + m∠5 = 180°
⇔ m∠5 = 180 - 113 = 67°
because ∠5 and ∠7 are 2 opposing angles
=> m∠5 = m∠7 = 67°
Step-by-step explanation:
Answer:
m ∠5 = 67°m ∠7 = 67°Step-by-step explanation:
Givena║b, m ∠ 113To findm ∠5, m ∠7SolutionAngles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:
m ∠ 4 + m ∠5 = 180°m ∠5 = 180 ° - m ∠4 m ∠5 = 180° - 113° = 67°Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:
m ∠7 = m ∠5 = 67°Which set could represent P?
A= 20 square root of 2
B= 5
C=20
D=10
HELP ME PLEASE!!
Which equation describes this line!!
Answer:
Option A: y-9=2(x-1)
Step-by-step explanation:
Notice that the answer choices are in point-slope form which is y-y1=m(x-x1)
The slope, m, is (9-3)/(1-(-2))=6/(1+2)=6/3=2, but that's given anyway.
Option A would be right because y1=9 and x1=1 which is where the line crosses through (1,9)
B is not right because that would suggest the line crosses (2,3) as y1=3 and x1=2, but it actually crosses (-2,3) so it should've been y-3=2(x+2)
C and D are wrong because the points aren't crossed through
A four-digit perfect square number is created by placing two positive two-digit perfect square numbers next to each other. What is the four-digit square number?
Answer:
1681
Step-by-step explanation:
In a four digit perfect square, the first two digits and last two digits taken seperately are also perfect squares.
Therefore, the answer is 1681 because 1681=41*41 and
16=4*4 and 81=9*9
Write the slope intercept form of the equation. PLEASE HELP
Answer:
8. D
10. D
12. B
if the lines are parallel, then the slopes are the same. if it's a perpendicular line then the slope is the opposite reciprocal.