Enter the equation of the line in slope-intercept form.
The line perpendicular to y = −2x that passes through (0, 0).
The equation of the line that passes through (0, 0) is y = .
Answer:
The equation is;
y = x/2
Step-by-step explanation:
General form of the equation of a straight line is;
y = mx + c
where m slope
For the given equation , the slope is -2
If two lines are perpendicular, then the product of their slopes is -1
So the slope of the second line will be
-2 * m2 = -1
m2 = -1/-2
m2 = 1/2
Using the point-slope form, we have
y-y1 = m(x-x1)
Here (x1,y1) = (0,0)
y-0 = 1/2(x-0)
y = 1/2x or simply
y = x/2
A boat travels with velocity vector (25, 25 StartRoot 3 EndRoot). What is the directional bearing of the boat? N 30° E E 30° S E 30° N N 30° W
Answer:
The directional bearing of the boat is N 30º E
Step-by-step explanation:
Let [tex]\vec v = (25, 25\sqrt{3})[/tex], where [tex]\vec v[/tex] is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat ([tex]\theta[/tex]), measured in sexagesimal degrees, is determined by trigonometrical means:
[tex]\theta = \tan^{-1}\frac{v_{y}}{v_{x}}[/tex] (1)
If we know that [tex]v_{x} = 25[/tex] and [tex]v_{y} = 25\sqrt{3}[/tex], then the directional bearing of the boat is:
[tex]\theta = \tan^{-1} \sqrt{3}[/tex]
[tex]\theta = 60^{\circ}[/tex]
In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).
Answer:
A) N 30 E
Step-by-step explanation:
b. For
y = 6x + (-2),
what is y when
X=-1
Answer:
y=-8
Step-by-step explanation:
y=6x+(-2)
y=6(-1)+(-2)
y=-6+(-2)
y=-8
A car covers a distance of 600 m in 2 minutes whereas a train covers a distance of 75 km in 50 minutes. Find the ratio of their speed.
answer
1:5
Step-by-step explanation:
To find speed use the formula
speed=distance/time
The car's speed is 600m ÷2mins(120secs)
(600÷120)
5m/s
The trains speed will be
speed=distance/time
=75÷50mins(5/6hrs)
=90km/hr
Ratio of their speed should be
first change the speed of the car 5 m/s to km/hr. 5×18/5 = 18km/hr
the speed of the train is 90km/hr
18:90 simplified it will be 1:5
Heeeelp plz I really need help fast!!
Answer:
D E F
Step-by-step explanation:
Have a good day :)
What’s the equation?
Please help me out!!
Answer: C or B
Step-by-step explanation:
Answer:
its the first answer
Step-by-step explanation:
What’s the solution to this problem-5/2=3/4+n
Answer:
..................................................
Step-by-step explanation:
Jeff is standing on top of a tree next to a mysterious monolith (a big rectangular box). At time t = 0, Jeff threw a coconut vertically upwards. It landed on the top of the monolith 3 seconds later. The height of the coconut above the ground after t seconds is
Answer:
[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]
(if the heights are measured in meters)
Step-by-step explanation:
In order to solve this problem we will need to first draw a diagram of the situation (see attached picture) and then, make use of the following physics equation:
[tex]y_{f}=\frac{1}{2}at^{2}+v_{0}t+y_{0}[/tex]
where:
[tex]y_{f}[/tex]=height of the object at a given time t
a=acceleration due to gravity
t=time
[tex]v_{0}[/tex]=initial velocity of the object
[tex]y_{0}[/tex]=initial height of the object.
we know most of this data, except for the height of theh object at the given time t and the initial velocity of theh object. We can make use of the given time to write the velocity in terms of the height of thte tree and the height of the monolith.
So let's substitute the values we know so far:
[tex]h=\frac{1}{2}(-9.81)t^{2}+v_{0}t+h_{tree}[/tex]
the problem tells us that after 3 seconds, the object reaches the height of the monolith, so let's do the substitution:
[tex]h_{monolith}=\frac{1}{2}(-9.81)(3)^{2}+v_{0}(3)+h_{tree}[/tex]
we can now solve this equation for the initial velocity, so we get:
[tex]h_{monolith}-h_{tree}=-44.145+3v_{0}[/tex]
[tex]h_{monolith}-h_{tree}+44.145=3v_{0}[/tex]
so:
[tex]v_{0}=\frac{h_{monolith}-h_{tree}+44.145}{3}[/tex]
and now we can substitute this back into the original formula to get the equation that represents the height of the coconut above the ground after t seconds:
[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]
when is it best to use the graphing method to solve a system of equations????
Answer:
graphing by hand it probably can help or you could do it your way if u want
At the State Park Zoo, there are 35 snakes in the reptile exhibit. There are 7 times as many snakes as iguanas in the reptile exhibit. How many iguanas are in the reptile exhibit?
Answer:
There are 245 Iguanas in the reptile exhibit
Step-by-step explanation:
There are 35 snakes in the reptile exhibit.
We are also given some information about the number of iguanas in the reptile exhibit. According to the problem, there are 7 times as many snakes as iguanas in the reptile exhibit.
This means that to get the number of Iguanas in the reptile exhibit, we simply multiply the number of snakes by 7.
Iguanas = snakes X 7
Iguanas = 35 X 7 =245 Iguanas
Therefore, there are 245 Iguanas in the reptile exhibit
Which expression is equivalent to 4(7c+3)+5?
A. 11c+7+5
B. 28c+7+5
C. 28c+12+5
D. 28c+12+20
Answer:
C
Step-by-step explanation:
28c +12 +5 which is the answer choice C
PLS HELPPP I'LL MARK BRAINLEST AND GICE 100 POINTS
Answer: b
Step-by-step explanation:
omg pls help its proving the sum of the interior angle measures of a triangle is 180
Answer:
60
Step-by-step explanation:
all angles in a triangle measures 180°
can someone plz help me! plz i also added some more points plz help
Answer:
15x + 12(10 - x) = 1417 and 3Step-by-step explanation:
The number of people who have two-course meal is (10 - x)
Correct equation is:
15x + 12(10 - x) = 141Solving for x:
15x + 120 - 12x = 1413x = 141 - 1203x = 21x = 7Answer:
Number who have three-course meal = 7Number who have two-course meal = 3Answers:
1) 15x + 12(10 - x) = 141
2) 7 and 3
15x + 12(10 - x) = 141
15x + 120 - 12x = 141
3x = 141 - 120
3x = 21
x = 7
Jonathan opened a savings account with $5500 and made no further
deposits. If the account pays3.5% simple interest, how long will it take until
the value of his account reaches $6655? *
a. 3.5 years
b. 6 years
c. 5.54 years
d. 6.5 years
It takes 6 years to reach $6655.
What is Simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
The formula written out is "Simple Interest = Principal x Interest Rate x Time."
Given:
Amount= 6655
Principal = 5500
Interest rate= 3.5%
So, Amount= P( 1 +rt)
6655 = 5500 (1 + 0.035t)
6655/5500 = 1 +0.035t
1.21 - 1= 0.035t
0.21 / 0.035 = t
t= 6 years
Hence, it takes 6 years to reach $6655.
Learn more about Simple Interest here:
https://brainly.com/question/25845758
#SPJ6
A dog kennel owner wants to enclose a rectangular dog run. She
wants it to be five times as long as it is wide. She cannot use
more than 100 feet of fencing. Describe the dimensions of the
dog run.
****For word problems you must define the variable for the situation & write a
sentence to describe the solutions. ****
Answer:
A dog kennel owner wants to enclose a rectangular dog run. She
wants it to be five times as long as it is wide. She cannot use
more than 100 feet of fencing. Describe the dimensions of the
dog run.
****For word problems you must define the variable for the situation & write a
sentence to describe the solutions. **
Step-by-step explanation:
Solve the inequality. Graph the solution.
-11>m+4 or 2m≥-16
Answer: Exact Form:
m
=
31
12
Decimal Form:
m
=
2.58
¯
3
Mixed Number Form:
m
=
2
7
12
Step-by-step explanation:
I am solely here to brag!
I am officially a college student and only 14!
Next semester I will on top of my high school classes be taking college courses.
And by 11th grade be officially done with high school!
Answer:
That's wonderful!
Step-by-step explanation:
I'm really proud of you! I'm 14 (almost 15), and taking sophomore classes right now, and a foreign language. I absolutely regret not taking a second math class this year (Algebra II).
Is this relation a function
Answer:
You can tell if a relation is a function if each input value only has ONE output value. Examples below
Step-by-step explanation:
Given points (-2.3) and (9.3), which expression can be used to find the distance between the two points?
191 +31
191-1-21
1-21+131
1-2 + 191
Answer:
d
Step-by-step explanation:
equalitivietion form akk absolute vaules.
What is the equation in slope intercept form of the line that passes through the point (2,2) and is perpendicular to the line represented by y=2/5x + 2
Answer:
y=
Step-by-step explanation:
Perpendicular means opposite reciprocal of the slope. This means that the slope would change from 2/5 to 5/2 and add a negative, so it is -5/2.
y=-5/2x+b
2=-5/2 (2) +b
7=b
y=-5/2x+7
PLEASE HELP I AM BEING TIMED!!
Find the sum of the measure of the interior angles for the following regular polygon?
A: 1440
B:2340
C:2160
D:1080
Answer:
1080 is the answer.
Step-by-step explanation:
The line graphed below has a slope of ____.
3
1/3
-3
Answer:
-3
Step-by-step explanation:
Hope this helps!
what is decimals -4.8(5.3)
Answer:
-25.44
Step-by-step explanation:
Plz help i really need the answer for this question: If I bought a pair of shoes that were on sale for $49.95 from $79.95, what was my coupon percentage? What would the total price be with tax of 8.75%?
X - 9
- -2
—
x - 2
Solve for all values of x.
Answer:
I'm pretty sure its -9
Step-by-step explanation:
During the school day, you spend 2 hours in math, 1 hours in science, 2 hours in ELA and 1 hour in art and 2 hours at a friends house studying for your math tests. What percent of the time do you spend at your friend's house studying for your math tests?
Answer:
Step-by-step explanation:
More than two hours of homework may be counterproductive, research suggests. GSE scholar Denise Pope finds that students in high-achieving schools who spend too much time on homework experience more stress and health problems. ... Students in these schools average about 3.1 hours of homework each night
Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60%, percent of the items on our list," her father says. Anastasia sees 12 items in the cart.
Answer:
20
Step-by-step explanation:
Translate the following into an equation:
You paid $30.12 for four pizzas that each cost the same price and this included the delivery charge of $3.00.
Answer:
y = 30.12(4) + 3
Step-by-step explanation:
there's 30.12, 4 times (4pizzas) plus an initial, one time fee of 3 dollars. so you'd multiply the 30.12 and (4), then add the 3 dollars one time.