Answer:
Step-by-step explanation
In these type of questions we can use a trick to find answer
let's say we have two linear equation
1) ax+by+c=0
2)mx+ny+t=0
if a/m = b/e ≠ c/f that means we don't have any solution for these two equations ( that's because of analitic geometry)
so,
2x-ky-14=0
5x-2y-5=0
2/5=k/2≠14/5 k=5If k is 4/5, the system of equations will have no solution because the lines are parallel.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The system will have no solution if the two equations represent parallel lines, because parallel lines do not intersect.
To determine if the lines are parallel, we can compare the slopes of the two lines.
The slope of the first line is 2, since it is the coefficient of x when we solve for y:
2x - ky = 14
ky = 2x - 14
y = (2/k)x - 14/k
The slope of the second line is 5/2, since it is the coefficient of x when we solve for y:
5x - 2y = 5
2y = 5x - 5
y = (5/2)x - 5/2
Therefore, the two lines are parallel if the slopes are equal:
2/k = 5/2
4 = 5k
k = 4/5
So, if k = 4/5, the system of equations will have no solution because the lines are parallel.
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Three of eight kids in a class are randomly chosen to present their book reports today. How many different possible sequences of three presentations are there?
A. 56
B. 120
C. 336
D. 512
Picture shown!
If P = (3,4), Find:
Rx-axis (P)
Answer:
not 100% up to speed on that notation, but if it means to
rotate over the x-axis then: (3,-4) would be the answer
Step-by-step explanation:
Find the image of (-1, 3) obtained by translating
2 units down, followed by a rotation of 180°
counterclockwise about the origin.
HELP QUICK
Answer:
(1, - 1 )
Step-by-step explanation:
A translation of 2 down means subtract 2 from the y- coordinate
(- 1, 3 ) → (- 1, 3 - 2 ) → (- 1, 1 )
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , then
(- 1, 1 ) → (1, - 1 )
Overall
(- 1, 3 ) → (- 1, 1 ) → (1, - 1 )
The image of (-1, 3) was obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).
What is coordinate?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The given point with coordinates of (-1,3), when translated downwards will have the coordinated equal,
(-1,3) ⇒ (-1, 3-2) ⇒ (-1, 1)
Now, since the translation is about 180° in the counter-clockwise direction, the coordinates of the new point will be equal to,
(-1,1) ⇒ (1, -1)
Hence, the image of (-1, 3) obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).
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Find the possible subsets of A = {a,b}
Answer:
Step-by-step explanation:
Subset of A = { {} , {a} , {b}, {a.b} }
Rick had 6 meters 63 centimeters of wire in his toolshed. He bought 2 meters 24 centimeters more wire and put this in his shed. The next day, he used 344 centimeters of wire. How much wire does Rick have left in the toolshed?
Answer:
543 centimeters or 5 meters 43 centimeters
Step-by-step explanation:
663+224=887
887-344=543
9. Arrange 3 519;3951; 3191 in descending order.
Answer:
3951>3519>3191
Step-by-step explanation:
hope you understood how
Can any one tell me this i have to do this for my tomorrow school
Answer:
Step-by-step explanation:
5068300- five million, sixty-eight thousand, three hundred
472607- four hundred seventy-two thousand, six hundred seven
51325678- fifty-one million three hundred twenty-five thousand six hundred eighty-seven
(70 POINTS + BRAINLYIEST)
Solve Geometric Sequence:
243, ___, ___, ___, ___, ___, 1/3
Solve for middle terms + r (common ratio)
Hi! I'm happy to help!
To solve this, we first need to find our what could give us 1/3. WE realize that the sequence is descending, so we must be dividing. We can then, from here, multiply our top number by 1/3, because that is our end number, and could possibly work for our common ratio. From this, we can check if this fits in our equation. (dividing by 3)
243×1/3=81
81×1/3=27
27×1/3=9
9×1/3=3
3×1/3=1
1×1/3=1/3
We can check if this is the correct amount of numbers that would fit into the geometric sequence. Let's see if this fits in:
243, 81, 27, 9, 3, 1, 1/3
This does fit into our geometric sequence. Our middle terms are underlined. (missing numbers)
Our common ratio is the number we multiply the previous number by to get our next, so our common ratio is 1/3.
So, our geometric sequence is 243, 81, 27, 9, 3, 1, 1/3, our middle terms are 81, 27, 9, 3, and 1. Our common ratio is 1/3.
I hope this was helpful, keep learning!
Answer:
Middle terms 81, 27, 9, 3, 1 or -81, 27, -9, 3, -1Common ratio 1/3 or -1/3Step-by-step explanation:
Given:
t₁ = 243, t₇ = 1/3To find the terms in between.
Find the common ratio first:
tₙ = t₁rⁿ⁻¹1/3 = 243*r⁶r⁶ = 1/729r = [tex]\sqrt[6]{1/729}[/tex]r = ± 1/3The terms in between are:
t₂ = 243*1/3 = 81 or -81t₃ = 81*1/3 = 27 t₄ = 27*1/3 = 9 or -9t₅ = 9*1/3 = 3t₆ = 3*1/3 = 1 or -1Which equation represents a population of 370 animals that increases at an annual rate of 11% ?
Answer:
D.
Step-by-step explanation:
the starting number is 370 and it gets multiplied by 1.11 every year so you would root the equation by t
The equation fourth represents the population of 370 animals that increases at an annual rate of 11% option fourth is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1
We have:
A population of 370 animals that increases at an annual rate of 11%
Initial value a = 370
rate r = 11% = 0.11
The equation:
[tex]\rm p = a(1 + r)^t[/tex]
[tex]\rm p = 370(1 + 0.11)^t[/tex]
Thus, the equation fourth represents the population of 370 animals that increases at an annual rate of 11% option fourth is correct.
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Jade purchased a game controller for $14.65 including tax. How much did she get from a twenty-five dollar bill?
Answer:
$5.35
Step-by-step explanation:
20-14.65=5.35
starting at school, you and your friend ride bikes in different directions- you ride 4 blocks north and your friend rides 3 blocks west. at the end of the adventure, how far apart are you and your friend?
For the function f(x) = −2x − 9, identify the values of f(0), f(1/2), and f(−2)
Step-by-step explanation:
f(0)=-2(0)-9=0-9=-9
f(1/2)=-(1/2)-9=-1/2 -9=-19/2
f(-2)=-2(-2)-9=4-9=-5
Answer:
f(0) = -9f(1/2) = -10f(-2) = -5Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Question One. Identify the value of f(0)
f(x) = -2x - 9
f(0) = -2(0) - 9
f(0) = 0 - 9
f(0) = -9
Question Two. Identify the value of f(1/2)
f(x) = -2x - 9
f(1/2) = -2(1/2) - 9
f(1/2) = -1 - 9
f(1/2) = -10
Question Three. Identify the value of f(-2)
f(x) = -2x - 9
f(-2) = -2(-2) - 9
f(-2) = 4 - 9
f(-2) = -5
Hope this helps!! :)
Please let me know if you have any questions
what is the distance between points (4,0) and (-2,-3)
Hi! I'm happy to help!
To solve this equation, we need to find how much distance is between the y coordinates, how much distance is between the x coordinates, and then use the Pythagorean Theorem.
Let's start with finding the distance between the x coordinates. The first x coordinate is 4, and the second is -2. This means that the distance in x is 6.
Next, we need to find how much distance is between the y coordinates. The first y point is at the y coordinate 0, and the second is at the y coordinate -3. This means that the distance in y is 3.
Now we use the Pythagorean Theorem, which says that a²+b²=c²
A and b refer legs of a right triangle, and c refers to the hypotenuse (longest side) of the right triangle. Imagine the two points on a line, the direct distance is the c, and the y and x movements alone are a and b.
Let's say x is a, and y is b. Let's insert our values:
6²+3²=c²
36+9=c²
45=c²
To find c, we need to find the square root of 45
√45
6.708203...
Rounds to about 6.7 in tenths.
So, the distance between those two points is about 6.7.
I hope this was helpful, keep learning! :D
Answer:
im doing online school and the correct answer is 6.7
Step-by-step explanation:
Which theorem can be used to show that AABC = ADEC?
What is the measure of ZA?
Select the best answer from the choices provided.
A. 35
B. 55°
С.70°
D.110°
Answer:
55°
Step-by-step explanation:
Since two of the sides are the same length, that means ∠A and ∠B are the same.
All angles of a triangle add up to 180°
180 - 70 = 110
To find ∠A, we just divide 110 by 2
110 ÷ 2 = 55
Both ∠A and ∠B are 55°
which of the following to variables would you expect to have no correlation?
A-total of a ice cream sales in amount of births in a city
b-total amount of ice cream sales in amount of ice cream cones used
c-total amount of ice cream sales in temperature outside
d-total amount of ice cream sales in amount of precipitation outside
Step-by-step explanation:
A because the amount of ice cream sales doesn't relate to the number of births in a city.
B works because amount of ice cream sales can relate to money. Both C and D work because temperature could affect when people want to buy ice cream. (people most likely won't buy ice cream in the winter but most likely will in the summer)
what is the value of 45c+28d when c=-5 and d=2
45×(-5) + 28×2
-225 + 56
Ans -169
Solve: VII multiplied by IX. Show your answer in standard form. Standard Number 1 Roman Numeral 5 V 10 50 100 500 1,000 X-003 A) 36 B) 63 C) 77
63
Step-by-step explanation:
i gotchu keep these coming
So the question is "Write down four common multiples of 2 and 3"
Step by step explaination :(
Answer:
The common multiples of 2 and 3 are 6,12,18,24
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27...
Common multiples of 2 and 3 include 6, 12, 18, and 24.
. Strengthening Vinegar: A food chemist has 200 gallons of
vinegar that is 4% acetic acid. How much acetic acid must be
added to get the acetic acid up to 5%?
if the area of a right angle triangle with base 3 cm is 6cm find the height
Answer:
A=1/2 Bh
6cm^2=1/2.3cm.h
12cm^2=3cmh
H=4cm
If 3 sin A + 4 cos A =5, show that sin A=3÷5
you can use both either (4tanA+3) or, (4tanA-3)
hope this helped you ☺️
any confusion comment it and let me know.
Point N is on line segment \overline{MO}
MO
. Given MN=2x,MN=2x, NO=x-2,NO=x−2, and MO=2x+9,MO=2x+9, determine the numerical length of \overline{MN}.
MN
.
Answer:
NO = 10
Step-by-step explanation:
The segment addition theorem tells you ...
MN + NO = MO
Substituting the given expressions for these lengths, we have ...
x + 5x = 3x+6
3x = 6 . . . . . . . . . subtract 3x
x = 2 . . . . . . . . . . divide by 3
We can use this value to find the length NO:
NO = 5x = 5(2) . . . . substitute for x
NO = 10
Which rule describes the relationship between the input and output pairs in the following table?
Input
Output
10
5
8
3
6
1
Choose 1 answer:
اے
Subtract 5 from the input to get the output.
в)
Multiply the input by 0. Then add 5 to the result to get the output.
Divide the input by 2. Then subtract 1 from the result to get the output.
Answer:
Subtract 5 from input.
Step-by-step explanation:
10-5=5
8-5=3
6-5=1
Note:if you need to ask question let me know about it.
Karima earns $400 per week plus a holiday bonus of $250. Write an expression to represent the total amount she earns after working w weeks. Then, find the amount she earns after she works 4, 12, and 36 weeks.
Expression:
Earnings at 4 weeks:
Earnings at 12 weeks:
Earnings at 36 weeks:
Answer:
Step-by-step explanation:
Earnings per week = $ 400
Earning for 'w' week = 400*w + holiday bonus
= 400w + 250
Earnings at 4 weeks = 400*4 + 250
= 1600 + 250
= $ 1850
Earnings at 12 weeks = 400*12 + 250
= 4800 + 250
= $ 5050
Earnings at 36 weeks = 400*36 + 250
= 14400 + 250
= $ 14650
Which expression is equivalent to 180?
Answer:
[tex] \sqrt{2.2.3.3.5} [/tex]
[tex]\sqrt{2.2.3.3.5}[/tex] is equivalent to [tex]\sqrt{180}[/tex]. Correct option is 1. First, we look for perfect square factors within 180. We can factor 180 as follows: [tex]\(180 = 2^2 \times 3^2 \times 5\)[/tex]
Next, we can group the perfect square factors together:
[tex]\(180 = (2 \times 3)^2 \times 5\)[/tex]
Since we are taking the square root of 180, we can rewrite it as the square root of its perfect square factors multiplied by the remaining non-perfect square factor:[tex]\(\sqrt{180} = \sqrt{(2 \times 3)^2 \times 5}\)[/tex]
The square root of a perfect square is just the value of the number itself:
[tex]\(\sqrt{180} = 2 \times 3 \times \sqrt{5}\)[/tex]
Finally, we can simplify the expression by multiplying the numbers outside the square root [tex]\(\sqrt{180} = 6\sqrt{5}\)[/tex]
So, the expression [tex]\(6\sqrt{5}\)[/tex] is equivalent to [tex]\(\sqrt{180}\)[/tex], and it represents the positive square root of 180 with any perfect square factors taken outside the square root sign.
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Helps please
What is the answer for all of them?
I Need to solve it brainliest
Answer:
h(-5) = (-2)^2 + 5 = 9
h(-1) = (2)^2 + 5 = 9
(9-9)/4 = 0
average rate of change is 0
Step-by-step explanation:
What would the sum of the interior angles of a 14 sided shape be?
Select one:
O a. 360°
O b. 180°
O c. 14°
O d. 2,160°
Answer:
the sum of interior angles of a 14 sided shape be 2160
Answer: D) 2160
Work Shown:
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
S = 180(14-2)
S = 180*12
S = 2160
f(x)=1/x; Find f(1/2)
Answer:
2
Step-by-step explanation:
f(x) = 1 / x
f(1/2) = 1 / (1/2)
Reciprocal of 1/2 is 2, since you flip numerator and denominator:
f(1/2) = 2
