write in point slope form an equation of the line that passes through the given point and has the given slope: (0,1); m= 2
A. y - 0 = 2 (x - 1)
B. y - 1 = 2 (x - 0)
C. y + 1 = 2 (x + 0)
D. y + 0 = 2 (x + 1)
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
Point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Substitute 1 for y₁, 2 for m, and 0 for x₁:-
[tex]\sf{y-1=2(x-0)}[/tex]
So we conclude that Option B is correct.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
A bird bath that is 4 ft. tall casts a shadow that is 6ft. long. find the length of the shadow that 6 ft. tent casts.
a) 9ft.
b) 3ft.
c) 10ft.
d) 4ft.
Answer:
a) 9 ft.
Step-by-step explanation:
The bath and the tent along with their shadows and the ground make 2 similar triangles. So:
4/6 = 6/x
4x = 36
x = 9 ft.
sophie leaves school and travels east at an average speed of 40km/h, jenny leaves school one hour later and travels west at an average speed of 50km/h, determine how many hours after jenny leaves school they will be "400km" apart
Considering the speeds given, it is expected Sophie and Jenny are 400 km apart after a total of 5 hours.
How will their position change over time?Jenny:
1 hour later: 40 km east2 hours later: 80 km east3 hours later: 120 km east4 hours later: 160 km east5 hours later: 200 km eastSophie:
1 hours later: 0 km2 hours later: 50 km west3 hours later: 100 km west4 hours later: 150 km west5 hours later: 200 km westWhen wil they be 400 km apart?It is expected 5 hours later they are 400km apart because at this time each of them will be 200km away from school.
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Please answer quickly! 50 POINTS! Brainliest!
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water:
graph of y equals minus 2 times the square of x plus 20 times x plus 400
What do the x-intercepts of the graph represent? (5 points)
The water had no larvae at −10 degrees Celsius and 20 degrees Celsius.
There were 20 larvae in the water at 0 degrees Celsius.
The water had maximum larvae at −10 degrees Celsius and 20 degrees Celsius.
There were 10 larvae in the water at 0 degrees Celsius.
Answer:
The water had no larvae at −10 degrees Celsius and 20 degrees Celsius.
Step-by-step explanation:
We are given the function, [tex]y = -2x^{2} + 20x + 400[/tex]
where
x = temperature of water (in degrees)
y = number of insect larvae in water
What do the x-intercepts of the graph represent?
The x - intercept is when y = 0, and y is the number of insect larvae in the water. So this means there is NO insect larvae in the water.
[tex]y = -2x^{2} + 20x + 400\\0 = -2x^{2} + 20x + 400\\quadratic \ formula:\\\frac{-20 + \sqrt{20x^{2} -4(-2)(400)}}{2(-2)} \\\frac{-20 +\- 60}{-4} \\\frac{-20 + 60}{-4} = -10\\\frac{-20 - 60}{-4} = 20[/tex]
Hence, when there was no larvae in the water, the water temperature was 20 and -10
David bought a computer that was 20%
off the regular price of 1,080.if an 8%
sales tax was added to the cost of the
computer what was total price david
paid for it
Answer:
The total price David paid for the computer is $933.12
Step-by-step explanation:
The cost of the computer will be $1,080 with 20% off and 8% sales tax.
20% of 1080 is 1080(0.20)=216 this means 216 is 20% of 1080, so with the discount the price will be 1080-216=$864
Now we have to find 8% of 864.
864(0.08)=$69.12
So the total price will be 864+69.12= $933.12
What is the volume of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
18 in
19 in
cubic inches
I
Answer:
V = 19329.14 cubic inches
Step-by-step explanation:
Volume of cylinder
[tex]V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h[/tex]
r ... radius of circle
h ... height of cylinder
Given information:
r = 18 in
h = 19 in
Now let's substitute the values in formula.
[tex]V = \pi r^2 \times h \\V = \pi (18)^2 \times 19\\V = 6156\pi\\V = 6156 \times 3.14\\V = 19329.84 \text{ in}^2[/tex]
What is the length of line segment b c? round to the nearest tenth. 14.3 in. 20.5 in. 21.3 in. 22.6 in.
The given figure is a triangle with 3 sides and angles. The length of BC as shown in the diagram is 20.5in
SOH CAH TOA identityThe given figure is a triangle with 3 sides and angles. In order to determine the length of BC, we will use the expression given:
cos 35 = a/25
where a = BC
cos 35 = BC/25
BC = 25cos 35
BC = 20.5in
Hence the length of BC as shown in the diagram is 20.5in
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Divide and write the quotient as a decimal
Answer:
0.16666666666667.
Step-by-step explanation:
If Saul CANELO Alvarez has 8 belts how many belts would he have it 34 were taken away
Answer:
42
Step-by-step explanation:
I would guess that Saul had 42 belts before because 42-34 is 8
Write 0.030 in scientific notation
Please help :)
So I have a 90.8 in a class the final is 15% of the grade there is a final worth 3.75% of the final grade and a final worth 11.25% of the final grade. I know I have to get a 87% in total on the final grade but what grade would I have to get on each test separately. What would be the worst possible grade I could get on both finals to still end up with a A.
Answer: I know this answe won't be that helpful but I'm pretty sure worsth you can get on both is like a high B. Its pretty hard to tell since you'll be dealing with like formative summative precentages and total point precentages or something But in my honest opinion seems like a high B on one and maybe like a 83-84 on the other.
Where can i revise for my end of year maths assessment
Answer:
Huh??
where on brainly
Step-by-step explanation:
Pls answer the follwing
Answer:
Step-by-step explanation:
4 (x + 2) =30
4x + 8 = 30
4x = 30 - 8
4x = 22
x = 22 : 4
x = 5.5
check
(5.5 + 2) * 4 = 30
the answer is good
Answer:
the cost of each sandwich is 5.5
Step-by-step explanation:
we have,
4(x+2) = 30
we know a(b+c) = ab+ac
so, when we open the bracket we get,
4(x+2) = 4x+4*2 which is equal to 4x+8
so, 4x+8 = 30
=> 4x = 30 - 8 [transposing method]
=> 4x = 22
=> x = 22/4
=> x = 5.5
hope this helps
A map shows that the vertices of a backyard are $W\left(-100,-70\right),\ X\left(-100,0\right),\ Y\left(0,0\right),$ and $Z\left(-60,-70\right)$ . The coordinates are measured in feet. The line segment $XZ$ separates the backyard into a lawn and a garden. The area of the lawn is greater than the area of the garden. How many times larger is the lawn than the garden?
i need a picture to answer this
Step-by-step explanation:
bc i said so
help asap please!! <3
Answer:
y = -2x + 4 or y = -2(x - 2)
Step-by-step explanation:
Equation of Line AB
y = mx + cm = slopec = y-interceptFinding slope (m)
m = -2 - 6 / 3 + 1m = -8/4m = -2Finding c using point slope equation
c - 6 = -2(0 + 1)c - 6 = -2c = 4Equation
Line AB : y = -2x + 4 or y = -2(x - 2)Answer:
The easiest way to do this is to put the line into slope intercept form. This is equal to y = mx + b, where m is the slope and y is the intercept. I'm assuming the point at which the line intercepts the y axis is at (0, 4) The graph isn't numbered, so its hard to tell.
Assuming b = 4, we need to find m
Slope = rise / run
Or
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]
Substitute -2 for y2, 6 for y1, 3 for x2 and -1 for x1
[tex]m = \frac{-2 - 6}{3 - -1}\\ m = \frac{-8}{4}\\m = -2[/tex]
Plug these values in and
[tex]y = -2x + 4[/tex]
When you graph this on desmos, the two points (-1, 6) and (3, -2) are on the graph. Therefore, I'm assuming the y intercept was in fact 4 :)
Attendance at a state park throughout the year is found to be periodic and can be modeled by a
sine function. The attendance ranges from a low of approximately 1,000,000 visitors in September
to a high of approximately 2,000,000 visitors in March. If t is the month number, where t = 1 is January, and N(t) is the attendance, in millions, of visitors, which of the functions can be used to
model this behavior?
N(t) = 1.5 sin(t) + 0.5
N(t) = 0.5 sin(t) +1.5
N(t) = 2 sin ( ₹t) – 1
N(t) 0.5 sin(2t) + 1.5
The sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
The attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
We know the sine function is:
y = Asin(w + c) + s
Here:
A is amplitude
w is angular velocity,
s is vertical Displacement,
c = phase angle
A = (2000000 - 1000000) /2 = 500,000
w = 2π/T
T = 12
w = 2π/12 = π/6
s = (1000000 +2000000) /2 = 3,000,000/2 = 1,500,000
500,000sin(π/6 + 0) + 1500000
500000sin(π/6)+1500000
or
0.5sin(πt/6) + 1.5
Thus, the sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
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Amanda measures the top of an 80 cm
desk to be 82.4 cm. Dwayne measures
the height of a 140 cm cabinet to be
a
137.2 cm. Which student has a greater
percent error?
Answer:
Amanda's percent of error: = .03 or 3% Dwyane's percent of error: = .02 = 2%
Looks like Amanda had the larger error.
can anyone tell me what angle Y is?
Answer:
Step-by-step explanation:
93 + y = 180
y = 180 - 93
y =87 Degrees
Answer:
87°
Explanation: The angles y and 93° are supplementary angles.
Therefore, subtract 93° from 180°, and voila! You got the answer.
The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. One rider has an average speed of 73.3 feet per second and completes the course in 30 seconds.
A) What is the constant of variation?
B) If another rider completes the course in 25 seconds, what was his speed?
The value of the constant of variation is 2,199 feet. The speed of the another rider is 87.96 feet/sec.
What is the directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called the constant of proportionality.
This directly proportional relationship between p and q is written as
p∝q where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n be two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called the constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
A.) The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. Therefore, the relationship can be written as,
Average speed ∝ (1/time)
Now, if the constant of variation is introduced then the relationship can be written as,
Average speed = k(1/time)
Substituting the values, we will get,
[tex]73.3\frac{ feet}{second}= k \times \dfrac{1}{30\ seconds}\\\\73.3 \frac{ feet}{second}\times 30\ seconds = k\\\\k = 2,199\ feet[/tex]
Hence, the value of the constant of variation is 2,199 feet.
B.) The speed of the another rider is,
Average speed = k(1/time)
Average speed = 2,199×(1/25) feet/sec
Average speed = 87.96 feet/sec
Hence, the speed of another rider is 87.96 feet/sec.
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help me please im like so desperate rn
Answer:
See below
Step-by-step explanation:
GCF of 36 and 4 is welllll, just 4
so 36 - 4 = 4*9 - 4 = 4 ( 9-1) ( I THINK that is what goes here)
please help me with this question!
Answer:
figure
Step-by-step explanation:
it out urself
thanks
Can someone please answer my trigonometry problem? I've been trying to get answers all day for something so minimal.
Find each measurement indicated. Round your answers to the nearest tenth.
Answer:
∠B ≈ 30.0°
Step-by-step explanation:
The law of sines can be used to solve a triangle when two sides and an angle opposite one of them are given.
__
sin(B)/b = sin(C)/c
sin(B) = (b/c)sin(C) . . . . solve for sin(B)
sin(B) = (14/28)sin(91°) ≈ 0.49992385
The angle is found using the inverse sine function:
B = arcsin(0.49992384) ≈ 29.99496°
Rounded to tenths, the angle is ...
m∠B ≈ 30.0°
_____
Additional comments
Many triangle solver apps and web sites are available if all you want is an answer.
When using your calculator, be sure the angle mode is set to "degrees."
The Law of Sines can also be used to solve a triangle when two angles and one side are known.
Round 425 to the nearest ten and to the nearest hundred
Answer:
400
Step-by-step explanation:
425 is rounded to 430 because 5 rounds up the number. 430 rounded to the nearest hundredth is 400 because 3 is below five.
Answer:
nearest tenth: 430
nearest hundredth: 400
Step-by-step explanation:
5 and above rounds up hense 430 and below 50 rounds down hense 400
grace likes jeffery what will she do ?
Answer:
2,964
Step-by-step explanation:
52 x 57 = 2,964
help it’s due in an hour and I’m stuck
I'll give brainiest to the first person to respond BUT only if the answer is correct
find x and y…………….????????
Answer:
[tex]let \: \alpha \: be \: the \: 45 \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(45) = \frac{x}{3 \sqrt{2} } \\ 1 = \frac{x}{3 \sqrt{2} } \\ x = 3 \sqrt{2} \\ by \: using \: pythagoras \: therom \\ {y}^{2} = {3 \sqrt{2} }^{2} + {3 \sqrt{2} }^{2} \\ {y}^{2} = 18 + 18 \\ y = \sqrt{36} \\ y = 6[/tex]
Step-by-step explanation:
hope this will help you
There are 7 seniors on the high school soccer team. Two of them will be
chosen to be co-captains. How many ways are there to choose the co-
captains?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the co-captains.
The action to choose two among the seven seniors to be cocaptains is a combination and there are 21 different choices.
What is a the difference between permutation and Combination?The major difference between permutation and Combination lies in the fact that the different ways of arranging a set of objects into a sequential order are termed as Permutation while one of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.
On this note, the action is a combination and the number of ways is; 7!/5!2! = 21.
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Geometry
7&8&9. Find the value of x.
Answer:
Step-by-step explanation:
How do I find the difference -6 - (-9)
Pls explain how I can do negatives and positives numbers
Answer:
Step-by-step explanation:
-6 - (-9)
1) Remove parentheses
-6 + 9
2) Simplify
3
See attachted image for rules of positive and negative integers.
Source: YourDictionary