Answer:
The equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:
y = 2x + 4Hence, option 'A' is correct.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slope b is the y-interceptIn our case, we are given
Slope m = 2y-intercept b = 4substituting m = 2 and b = 4 in the slope-intercept form of the line equation
y = mx+b
y = 2x + 4
Therefore, the equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:
y = 2x + 4Hence, option 'A' is correct.
95°
60°
29
o
X =
Plzzzz I need this
Answer:
x=95
Step-by-step explanation:
They are vertical angles
Alice had 12 needles in her sewing kit, but then lost n needles
Answer:
12-n
Step-by-step explanation:
im confused but sure
a
Question
Simplify
the
[tex] \sqrt{ \frac{9 - {x}^{2} }{ {x }^{2} } } [/tex]
Answer:
[tex]\frac{\sqrt{9-x^2} }{x}[/tex]
Step-by-step explanation:
The simplification of the following equation is:
Given that
[tex]= \sqrt{\frac{9-x^2}{x^2} } \\\\=\frac{\sqrt{9-x^2} }{\sqrt{x^2} } \\\\=\frac{\sqrt{9-x^2} }{x}[/tex]
Here we assume [tex]\sqrt{x^2}[/tex] be x
Hence, in this way it should be simplified
A group of 12 adults and 26 children go to a theme park. The total cost of tickets was £1804.80.
An adult's ticket cost £51.60.
Find the cost of a ticket for a child.
45.60 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ang water ba ay tubeg?
Answer:
water has be taken to separate and has been take the Kyon bag and tricks to win their water to bag and separate the tube and water the
i need help ASAP!: Solve the equation: 13x - 9x + 20 = 30 + 2
2p
X = 3
X = 4
X = 5
X = -3
What is the equation of the line?
Answer:
[tex]y = \frac{2}{3} + 7[/tex]
The proportional relationship between the number of hours a buisness operates and its total cost of electricity is shown in the following graph which statements about the graph are true
Answer:
The yy-coordinate of point A represents the total cost of electricity when the business operates for 4 hours. Or just A on khan :)
I GIVEEEEE BRAINLILSTE
Answer:
39 in³
Step-by-step explanation:
Pyramid volume: v = 1/3Bh b=13 h=9
volume; 1/3 * 13 * 9 = 39
Zoom
Based on Passage 2, which of the following is most likely to
affect whether a river has a tidal bore?
A the depth of the water in the river
B the size of islands near the river
© the direction of the river's flow
the speed of the river's currents
19. An aircraft maintaining a constant airspeed of 525 MPH is headed due south. The jet stream is
120 MPH in the northeasterly direction.
a. Sketch the scenario on the x-y axis.
b. Express the velocity of the plane relative to the air as a vector.
c. Express the velocity of the jet stream as a vector.
d. Find the velocity of the plane relative to the ground.
Find the actual speed and direction of the plane relative to the ground. Round to the
tenths.
e.
Answer:
a. Sketch is given in the attachment
b. [tex]V_{p}[/tex] = (0,-525)
c. [tex]V_{w}[/tex] = ([tex]\sqrt{2}[/tex],[tex]\sqrt{2}[/tex])
d. [tex]V_{g}[/tex] = (60[tex]\sqrt{2}[/tex], 60[tex]\sqrt{2}[/tex] - 525)
e. Actual Speed = |[tex]V_{g}[/tex]| = 448.3 MPH
Direction = Ф = - 79.1°
Direction = Ф = 280.9° with respect to x - axis.
Step-by-step explanation:
a. Sketch the scenario on the x-y axis.
Where,
Velocity of the plane relative to air = [tex]V_{p}[/tex]
Velocity of the jet stream = [tex]V_{w}[/tex]
Velocity of the plane relative to ground = [tex]V_{g}[/tex]
Solution:
Note: Solution is given in the attachment. Please refer to the attachment for the sketch.
b. Express the velocity of the plane relative to the air as a vector.
Solution:
[tex]V_{p}[/tex] = |[tex]V_{p}[/tex]| cosФi + |[tex]V_{p}[/tex]| sinФj
where,
|[tex]V_{p}[/tex]| = magnitude of the vector.
|[tex]V_{p}[/tex]| = 525 MPH
Ф = 270° w.r.t to x - axis. (See the sketch in the attachment)
[tex]V_{p}[/tex] = |[tex]V_{p}[/tex]| cosФi + |[tex]V_{p}[/tex]| sinФj
Plug in the values into this equation to express it in the vector form as required.
[tex]V_{p}[/tex] = (525) cos270i + (525) sin270j
As, Cos270 = 0
and
Sin270 = -1
So,
[tex]V_{p}[/tex] = (525) (0)i + (525) (-1)j
[tex]V_{p}[/tex] = 0i -525j
[tex]V_{p}[/tex] = (0,-525)
c. Express the velocity of the jet stream as a vector.
Solution:
Velocity of the jet stream as a vector.
[tex]V_{w}[/tex] = |[tex]V_{w}[/tex]| cosФi + |[tex]V_{w}[/tex]| sinФj
where,
|[tex]V_{w}[/tex]| = magnitude of the vector.
|[tex]V_{p}[/tex]| = 120 MPH
Ф = 45° (See the sketch in the attachment)
[tex]V_{w}[/tex] = |[tex]V_{w}[/tex]| cosФi + |[tex]V_{w}[/tex]| sinФj
Plug in the values into this equation to express it in the vector form as required.
[tex]V_{w}[/tex] = (120) cos45i + (120) sin45j
As, Cos45 = [tex]\frac{1}{\sqrt{2} }[/tex]
and
Sin45 = [tex]\frac{1}{\sqrt{2} }[/tex]
So,
[tex]V_{w}[/tex] = (120) ([tex]\frac{1}{\sqrt{2} }[/tex])i + (120) ([tex]\frac{1}{\sqrt{2} }[/tex])j
[tex]V_{w}[/tex] = 60[tex]\sqrt{2}[/tex]i +60[tex]\sqrt{2}[/tex]j
[tex]V_{w}[/tex] = ([tex]\sqrt{2}[/tex],[tex]\sqrt{2}[/tex])
d. Find the velocity of the plane relative to the ground.
Solution:
Velocity of the plane relative to the ground = Sum of velocity of plane relative to the air and velocity of the jet stream
[tex]V_{g}[/tex] = [tex]V_{p}[/tex] + [tex]V_{w}[/tex]
[tex]V_{g}[/tex] = 0i -525j + 60[tex]\sqrt{2}[/tex]i +60[tex]\sqrt{2}[/tex]j
[tex]V_{g}[/tex] = 60[tex]\sqrt{2}[/tex]i + 60[tex]\sqrt{2}[/tex] - 525j
[tex]V_{g}[/tex] = (60[tex]\sqrt{2}[/tex], 60[tex]\sqrt{2}[/tex] - 525)
e. Find the actual speed and direction of the plane relative to the ground. Round to the tenths.
Solution:
Actual Speed = |[tex]V_{g}[/tex]| = magnitude of the velocity of the plane relative to the ground.
Actual Speed = |[tex]V_{g}[/tex]| = [tex]\sqrt{(60\sqrt{2}) ^{2} + (60\sqrt{2}-525) ^{2} }[/tex]
Actual Speed = |[tex]V_{g}[/tex]| = 448.3 MPH
Direction = Ф = [tex]tan^{-1}[/tex] ([tex]\frac{60\sqrt{2}-525 }{60\sqrt{2} }[/tex])
Direction = Ф = - 79.1°
To find out the direction with respect to x - axis.
Direction = Ф = 360 - 79.1
Direction = Ф = 280.9°
Nelson did 44 push-ups in 4 minutes.
What is the unit rate?
Answer:
5
Step-by-step explanation:
good luck
3. 1/3*4/5 Please I need help please
Answer:
1/3 x 3/4 is equal to 1/4
Step-by-step explanation:
First multiply 1x3 and 3x4 which equals to 3/12
Next you do 3 divided by 3 and 12 divided by 3 which gets you the answer:
1/4
Juan is training for the Great Bike
Race. Yesterday, Juan rode his bike
for 45 minutes and covered 15 miles.
He would like to increase his speed.
How many more miles would he need
to ride in 45 minutes in order to reach
his goal of 25 miles per hour?
10 Miles Because 25-15=10
As an estimation we are told 5 miles is 8 km.
Convert 17.8 miles to km.
Answer:
the answer would be about 28.60 km
Answer:
28 KM
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km
mathematically , 5 miles = 8 KM
So , therefore 1 miles = 8/5 KM
now just , multiply 17.8 with 8/5
There are 7 newborn puppies in a litter. These
are their weights in ounces: 8.8, 9.4, 12.7, 13.5,
13.6, and 16.7.
What is the interquartile range of their weights?
Answer:
1
Step-by-step explanation:
A
D
O
T
M
H
B
G
R
I
V
W
P
E
Q
F
C
U
J
S
X
K
Which letter am I missing ( not including Y or Z)
Answer:
You are missing J, K, L, N, S, U, X
Step-by-step explanation:
Find the measure of an exterior angle of a regular 50-gon.
Answer:
7.2º
Step-by-step explanation:
all polygon's exterior angles measure 360º, so we just need to divide by 50 to get and individual exterior angle measure. 360/50=7.2º
The measure of an exterior angle of a regular 50-gon should be considered as the 7.2º.
Calculation of an exterior angle:Since we know that
All polygon's exterior angles should have the total of 360º,
So basically we divide 360 by 50 so that the measure of an exterior angle should be determined
i.e.
[tex]= 360\div 50[/tex]
= 7.2 degrees
Hence, The measure of an exterior angle of a regular 50-gon should be considered as the 7.2º.
Learn more about an angle here: https://brainly.com/question/24855153
Help! if Joey scored a 70% on a test and got 35 questions correct, how many question in total are there?
Answer:
15
Step-by-step explanation:
If you got 35 on a test right, then you 15 wrong making you 70% which is a C-.
Brainliest?? Please? There are 50 total.
Two more than 5 times a number,n, is greater than 3.
Answer:
5n + 2 > 3 (If you're writing the equation)
n > 1/5 (If you're solving for n.
Step-by-step explanation:
Answer: n > 1/5
Step-by-step explanation:
2 + 5n > 3
5n > 1
n > 1/5
Five years ago the population of Washington was 0.7 million. It has now grown by 165 000.
What is the population now?
Answer:
The Population is 865000
Step-by-step explanation:
0.7 Million is equal to 700,000
700,000 + 165,000=865000
Will mark brainliest thanks
Answer:
the answer is 252 degrees
I NEED HELP ASAP Which of the following possibilities will form a triangle
Answer:
The answer is D!
Step-by-step explanation:
find each missing number 67 subtract B = 16
Answer:
51
Step-by-step explanation:
67 minus 16 equals 51
Answer:
The missing number is 51.
It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end. How long will it take you to read 6.25 pages and also take the test?
16. In a group of 6 boys and 4 girls, four
children are to be selected. In how many
different ways can they be selected such
that at least one boy should be there?
10
D
201
D 212
Answer:
209 different ways.
Identify a set of parallel and a set of perpendicular lines in this image.
1 of 6
Use the conversions given below to change 34 kg into stones.
Give your answer rounded to 1 dp.
1 kg = 2.2 pounds
1 stone = 14 pounds
stones
Answer:
ggggmd
hsmhdmvx.hffyfylltet
A book Probably cost $21.50 today it was on sale for $15.05 percent discount was offered during the sale
Is 8x-2y=2 a direct or inverse variation
Answer:
Neither, why... for it to be direct or inverse variation, the model has to fit either y=k/x or y=kx, it may not have a y-intercept at all if it is inverse variation and it must have a y-intercept of 0 for it to be direct variation.
Step-by-step explanation:
The statement y=2 is quite specific. Because k is positive, y increases as x increases. So as x increases by 1, y increases by 1.5. Inverse Variation: Because k is positive, y decreases as x increases. yx is a constant number -8. The constant of variation, k , is 23 . Inverse Variation
An inverse variation can be represented by the equation xy=k or y=kx .
That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .
Suppose y varies inversely as x such that xy=3 or y=3x . That graph of this equation shown.
