Answers
Answer:
Option A - Neither. Lines intersect but are not perpendicular. One Solution.
Option B - Lines are equivalent. Infinitely many solutions
Option C - Lines are perpendicular. Only one solution
Option D - Lines are parallel. No solution
Step-by-step explanation:
The slope equation is known as;
y = mx + c
Where m is slope and c is intercept.
Now, two lines are parallel if their slopes are equal.
Looking at the options;
Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.
Thus,the lines are parrallel, no solution.
Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.
Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.
Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.
Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.
Option B falls into this category.
Related Questions
Please help me out lol
Answers
Answer:
28
Step-by-step explanation:
2(9)+5(2)
18+10
28
Boom.
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
Evaluate 2y + 5z, if y = 9 & z = 2.\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
Given,
y = 9z = 2Now, let's substitute these values in the given expression.
\( \sf2y + 5z \\ \sf \rightarrow2(9) + 5(2) \\\sf \rightarrow( 2 \times 9) +( 5 \times 2) \\\sf \rightarrow 18 + 10 \\ = \boxed{ \boxed{ \bf28}}\)
So, the 3rd option ⇨ 28 is the correct answer. (✓)Solve for x ,
6(2x-5)=-(x+4)
Answers
Answer:
x=2
hope this helped :)
find the area of parallelogram and round to the nearest tenth.
Answers
Answer:
A=b×h
A=13.8×6
A=82.8 in²
A≈83in²
Step-by-step explanation:
What is the volume of a sphere with a diameter of 6.4 cm,rounded to the nearest tenth of a cubic centimeter
Answers
The volume of the sphere is approximately 137.1 cubic centimeters.
What is Volume ?Volume is a physical quantity that measures the amount of space occupied by a three-dimensional object. It is typically measured in units such as cubic meters (m³), cubic centimeters (cm³), cubic feet (ft³), or gallons (gal).
According to given information :The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.
Since the diameter of the sphere is given as 6.4 cm, the radius is half of this value:
r = 6.4 cm / 2 = 3.2 cm
Substituting this value into the formula for the volume of a sphere, we get:
V = (4/3)π(3.2 cm)^3
V = 4.1888 × (3.2 cm)^3
V = 4.1888 × 32.768 cm^3
V ≈ 137.0829 cm^3
Rounding to the nearest tenth of a cubic centimeter, we get:
V ≈ 137.1 cm^3
Therefore, the volume of the sphere is approximately 137.1 cubic centimeters.
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Answer:
the answer is 137.3
Which angle corresponds to < 8?
Answers
Answer:
b
Step-by-step explanation:
3 Variables x and y are related so that, when is plotted on the vertical axis
x²
and x³ is plotted on the horizontal axis, a straight-line graph passing
through (2, 12) and (6, 4) is obtained.
Express y in terms of x.
Answers
The equation of the variable y in terms of x is y = -2x + 16
Expressing the variable y in terms of x.From the question, we have the following parameters that can be used in our computation:
(2, 12) and (6, 4)
A linear equation is represented as
y = mx + c
Substitute the given points in the above equation, so, we have the following representation
2m + c = 12
6m + c = 4
When the equations are subtracted, we have
-4m = 8
So, we have
m = -2
Next, we have
2(-2) + c = 12
Evaluate
c = 16
Recall that
y = mx + c
So, we have
y = -2x + 16
Hence, the variable y in terms of x is y = -2x + 16
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A jet's velocity with respect to the air is 520
miles per hour, and its bearing is N45∘E
. The jet encounters a wind with a velocity of 50
miles per hour from the west.
After leaving Airport A and flying in a straight line for 2
hours (with the wind described as above), the jet lands at Airport B. Later, the wind stops, and the jet flies to airport C which is 432
miles due south of Airport A. Find the ground distance between Airports B and C, and determine the direction (bearing) the jet must fly to Airport C. Draw a diagram to support your work. Round your answers to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
Let’s start by drawing a diagram to represent the problem. The jet’s velocity with respect to the air is 520 miles per hour and its bearing is N45°E. The wind is blowing from the west with a velocity of 50 miles per hour. We can represent the velocity of the jet as a vector with magnitude 520 and direction N45°E. We can represent the velocity of the wind as a vector with magnitude 50 and direction due west. The ground speed of the jet is the vector sum of these two vectors.
Jet Diagram
To find the ground speed of the jet, we can use the Pythagorean theorem and trigonometry. Let’s call the ground speed “v” and the angle between v and due north “θ”. Then:
cos(θ) = 50 / 520 θ = cos^-1(50 / 520) θ ≈ 5.7°
So the angle between v and due north is approximately 5.7°.
Now we can use trigonometry again to find v:
sin(θ) = opposite / hypotenuse sin(5.7°) = opposite / v opposite = v sin(5.7°)
opposite = 520 - 50 opposite = 470
v sin(5.7°) = 470 v ≈ 4,090
So the ground speed of the jet is approximately 4,090 miles per hour.
After flying for two hours with this ground speed, the jet has traveled a distance of:
distance = rate x time distance = 4,090 x 2 distance = 8,180 miles
Now let’s find the distance between Airports B and C. We know that Airport C is 432 miles due south of Airport A. Since we know that the jet traveled due east from Airport A to Airport B, we can use the Pythagorean theorem to find the distance between Airports B and C:
distance^2 = (8,180)^2 + (432)^2 distance ≈ 8,207 miles
Finally, let’s find the direction (bearing) that the jet must fly to reach Airport C from Airport B. We can use trigonometry again to find this angle:
tan(θ) = opposite / adjacent tan(θ) = 432 / 8,180 θ ≈ 3.0°
So the angle between due north and the direction that the jet must fly is approximately 3.0° east of north.
Therefore, to reach Airport C from Airport B, the jet must fly in a direction that is approximately 3.0° east of north.
I hope this helps! Let me know if you have any other questions or if there is anything else I can help you with.
Condense
2loga(4)+3loga(X-4)loga(4)
Log(x+3)+log(x-3)
Answers should be log a x^3/16 and log (x^2-9)
SHOW WORK
URGENT
Answers
The steps to condensing the expressions
2loga(4)+3loga(X-4)loga(4)
Log(x+3)+log(x-3) is given below.
To condense the expressions, we can apply the properties of logarithms. Here are the condensed forms of the given expressions.
2loga (4) + 3loga(X - 4) - loga 4 )
By using the product and quotient rules of logarithms, we can simplify this expression as follows
2 loga( 4) + 3 loga( X-4) - log a(4)
= loga(4 ²) + loga((X-4)³) - loga (4) = loga (16 ) + loga((X-4)³) - loga (4)
Combining the logarithms using the power rule and quotient rule we have
= loga(16(X-4)³/4)
log(x+3) + log (x-3)
By using the product rule of logarithms, we can combine these logarithms
log (x +3) +log (x - 3) = log ((x +3 )(x -3 ))
Simplifying further, we get
= log (x² - 9 )
So this means that the condensed forms of the given expressions are
2loga( 4) + 3loga(X -4) - loga (4) = loga(16 (X-4) ³/4)
log (x+ 3) + log(x- 3) = log(x² - 9)
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help last question A semicircular mat has a diameter of 18 m. What is the area of the mat?
Answers
Answer:
127.2
Step-by-step explanation:
The area of a semicircle is:
\(\frac{\pi r^{2} }{2}\)
So to figure it out we first find the diameter:
18÷2=9
Then we plug it into the equation
\(\frac{9^{2}\pi }{2} = \frac{81\pi}{2}\) Which we can put into a calculator to get 127.2345... so we round to 1 d.p to get our answer, 127.2 (the fifth digit, 3, rounds down)
The area formula for a semicircle is
(pie)(radius^2). So divide 18 (the diameter) by 2 to find the radius, and it’ll be 9. The when you solve it, it should be 127.235.
A car's velocity changes from 1.2 m/s to 35.8 m/s in 8 seconds. What is the average acceleration of the car in m/s2?
Answers
Answer:
4.325 meters per second squared.
Step-by-step explanation:
(-10)
-(-4)
_____
14
-14
-6
6
Answers
Answer:
it would be like 10-4 but the opposite so -6
I need help asap pls I am begging!!!!!
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Answer:
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Two forces with the magnitude of 100and 59 pounds act on an object at angles of 50° and 160°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
Answers
Answer:
that is absolutely question my prother
How many packages of diapers (d) can you buy with $40 if one package costs $8?
Answers
Answer:
5
Step-by-step explanation:
because 8+8+8+8+8=40 or 8*5
and theres 8 five times
Which graph shows a function whose inverse is also a function? On a coordinate plane, two curved graphs are shown. f (x) sharply increases from (negative 0.5, negative 5) to (0, negative 2) and then sharply changes directions and curves down to (0.5, 4.5). The curve then sharply changes direction and goes up through (1, 0). The inverse of f (x) curves slightly up from (negative 5, negative 1) to (negative 2, 0). The curve then sharply changes directions and go to the left toward (negative 3.5, 1). The curve then changes directions and goes through (0, 1) and gradually increases. On a coordinate plane, 2 parabolas are shown. f (x) opens down and goes through (negative 1, negative 5), has a vertex at (0, 1), and goes through (1, negative 5). The inverse of f (x) opens to the left and goes through (negative 5, 1), has a vertex at (1, 0), and goes through (negative 5, negative 1). On a coordinate plane, 2 lines are shown. f (x) has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). The inverse of f (x) has a positive slope and goes through (negative 2, negative 2), (negative 1, 0), and (0, 2). On a coordinate plane, 2 v-shaped graphs are shown. f (x) opens up and goes through (negative 1, 5), has a vertex at (1, 1), and goes through (3, 5). The inverse of f (x) opens right and goes through (5, 3), has a vertex at (1, 1), and goes through (3, 0).
Answers
Answer:
Step-by-step explanation:
C is correct i got it right
Answer:
C) the linear function
Explanation:
Hope you have a great day!
11. A bag of marbles contains 8 red, 12 black, and 15 blue marbles. If marbles are chosen at random and replaced, what is the probability that a blue marble is not chosen until the 10th try?
Answers
To find the probability that a blue marble is not chosen until the 10th try when marbles are chosen at random with replacement, we can break down the problem into individual probabilities.
The probability of not choosing a blue marble on each try is given by the ratio of the non-blue marbles to the total number of marbles.
In this case, there are 8 red + 12 black = 20 non-blue marbles, and a total of 8 red + 12 black + 15 blue = 35 marbles in the bag.
The probability of not choosing a blue marble on each try is therefore 20/35.
Since each try is independent, we need to calculate this probability for each of the first 9 tries, as we want to find the probability that a blue marble is not chosen until the 10th try.
The probability of not choosing a blue marble on the first try is 20/35.
The probability of not choosing a blue marble on the second try is also 20/35.
And so on, up to the ninth try.
Therefore, the overall probability of not choosing a blue marble in any of the first 9 tries is (20/35)^9.
However, we want the probability that a blue marble is not chosen until the 10th try, so we need to account for the fact that a blue marble will be chosen on the 10th try.
The probability of choosing a blue marble on the 10th try is 15/35.
Therefore, the final probability that a blue marble is not chosen until the 10th try is:
(20/35)^9 * (15/35) = 0.0114 (rounded to four decimal places) or approximately 1.14%.
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How has AABC been rotated?
O 270°
0 180°
90°
0-90°
Answers
PLEASE HELP QUICK!!!!
Bernie borrowed b books from his friend Grant's collection of 29 books. What does the expression 29 - b represent?
Answers
the amount of books grant has left
explanation:
if you take away b books, he is left with 29-b books
Any fake or incorrect and links will be reported and you will have all answers taken away
Write a simplified expression for the perimeter of the triangle.
Answers
Answer:
Perimeter = 6s + 9 units
Step-by-step explanation:
Perimeter = 2s + 4 + 4s + 2 + 3
= 2s + 4s + 4 + 2 + 3
= 6s + 9 units
due soon please help me3
Answers
Answer: the answer is 36 choice D
Step-by-step explanation: just trust me I got you
Answer:
It is 6
Step-by-step explanation:
since the perfect square is a result for (a+b) ^2
which is equal to a^2+2ab+b^2 and if a=x and 2ab=12x
\(b = 12x \2x\)
so b=6
Jim is running a race against his best friend ryan. jim runs at a rate of 18 miles in 3hours while ryan runs at a rate of 11miles in 2 hours. how much further can jim run in an hour compared to his friend ryan
Answers
If Jim is running a race against his best friend Ryan and Jim runs at a rate of 18 miles in 3 hours while Ryan runs at a rate of 11 miles in 2 hours, then Jim can run 0.5 miles further compared to his friend Ryan.
If Jim runs at a speed of 18 miles in 3 hours, it can be represented as,
Speed = distance / time = 18 miles / 3 hours = 6 miles per hour
As Ryan runs at a rate of 11 miles in 2 hours, it can be given as,
Speed = distance / time = 11 miles / 2 hours = 5.5 miles per hour
To determine how much further Jim can run in an hour compared to his friend Ryan,
Distance ( Jim ) = speed x time = 6 x 1 = 6 miles
Distance ( Ryan) = speed x time = 5.5 x 1 = 5.5 miles
The distance that Jim can run further in an hour can be calculated by subtraction.
Distance ( Jim ) - Distance ( Ryan) = 6 - 5.5 = 0.5 miles
Thus, Jim can run 0.5 miles further in an hour compared to his friend Ryan.
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Use the standard normal distribution to find P(-1.53 < z < 2.51)
Answers
The probability to be evaluated is given to be:
\(P(-1.53The probability is calculated using the formula:\(P(-1.53Using tables, we have:\(\begin{gathered} Pr(0Therefore, the probability will be:\(P(-1.53The probability is 0.9310.Which graph represents the function f(x) = 2/x-1 +3
Answers
Answer:
top left corner
Step-by-step explanation:
adding the 3 shifts it up
and subtracting one shift it right
The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is?
Answers
The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling
The judgement sampling is a non probability that the researcher selects units to be sampled based on his own knowledge and professional judgement. Here the probability is not a factor.
The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.
Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement
Therefore, the sampling method is judgement sampling
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1.18 A student walks 1.0 mi west and then 1.0 mile north, after ward how far is she from her starting point?
A 1.0 mi
B 1.4 mi
C 1.6 mi
D 2.0 Mi
Answers
The distance between the student's starting point and ending point is approximately 1.4 mi. The correct option is B.
We can use the Pythagorean theorem to find the distance between the student's starting point and ending point, which is the length of the straight line between the two points (i.e., the distance between the two points).
If we draw a diagram, we can see that the student's displacement forms the hypotenuse of a right triangle with legs of length 1.0 mi (the distance traveled due west) and 1.0 mi (the distance traveled due north).
So, we can use the Pythagorean theorem to find the length of the hypotenuse:
distance = √[(1.0 mi)² + (1.0 mi)²] ≈ 1.4 mi
Thus, the distance between the student's starting point and ending point is approximately 1.4 mi.
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someone pls help me what is the equation for this graph pls help me and get it right pls :)
Answers
Answer:
y= -1/5x
Step-by-step explanation:
hope this helps :)
the number which best completes the sequence below is: 10 30 15 16 48 24 25 ?
Answers
Answer:
10 30 15 16 48 24 25 75 37.5
Given r=2, s=5, t=8; what is 12s - 2rt + 101?
Answers
Given:
r = 2s = 5t = 8To find out:
Find the value of 12s - 2rt + 101?
Solution:
12s - 2rt + 101
=> 12 × 5 + 2 × 2 × 8 + 101
=> 60 + 32 + 101
=> 92 + 101
=> 193
John has 8 boxes of apples. Each box holds 10 apples. If 5 of the boxes are full, and 3 of the boxes are half full, how many apples does John have?
Answers
Answer:
65 apples
Step-by-step explanation:
We Know
John has 8 boxes of apples.
Each box holds 10 apples.
If 5 of the boxes are full, and 3 of the boxes are half full, how many apples does John have?
Let's solve
5 boxes are full: 5 x 10 = 50 apples
3 boxes are half full = 3(1/2 · 10) = 15 apples
50 + 15 = 65 apples
So, John has 65 apples.
\( \frac{5}{12}\)
guys help I have to turn it to a decimal point solve this without a calculator
Answers
Answer:
About 0.417
Step-by-step explanation: