Calculate the slope of the line on the graph using the
formula:
72-V1
m
X2 - X
The slope of the line is
_____m/s.
Answers
Given:
The graph of a line which represents position (m) at time (s).
To find:
The slope of the line.
Solution:
Formula for slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given graph it is clear that the line passes through two points (0,0) and (1,4).
Using the above formula, we get
[tex]m=\dfrac{4-0}{1-0}[/tex]
[tex]m=\dfrac{4}{1}[/tex]
[tex]m=4[/tex]
Therefore, the slope of the line is 4 m/s.
Answer:
4
Step-by-step explanation:
Related Questions
1. A piece of wire that is 28 inches long is cut into two pieces, each of which is then bent into the shape of a
square. The larger square has side lengths that are three inches longer than the smaller square.
(a) If x is the side length of the smaller square and y is the side length of the larger square, write a system of
equations that models this scenario.
(b) Solve the system of equations and determine the lengths of the two pieces of wire.
Answers
Answer:
1: So one side is 5
2: Other side is 2
Step-by-step explanation:
1)
4(x+3)+4x=28
Solve
4x+12+4x=28
Combine
8x+12=28
Isolate
8x=16
Isolate
x=2
Substitute
4(2+3)=20
4*2=8
Now find each side
20/4=5
8/4=2
Circle A has center of (6, 7) and a radius of 4, and circle B has a center of (2, 4) and a radius of 16. What steps will help show that circle A is similar to circle B?
Translate circle A using the rule (x + 4, y + 3).
Rotate circle A 45° about the center.
Dilate circle A by a scale factor of 4.
Reflect circle A about the origin.
Answers
Answer:
c took quiz
Step-by-step explanation:
Circle A can be made similar to circle B by dilating circle A by scale factor 4.
Circles can be made similar by performing transformations such as dilations, translation, etc.
The given parameters are:
Circle A
[tex](x,y) = (6,7)[/tex] --- center
[tex]r=4[/tex] --- radius
Circle B
[tex](x,y) = (2,4)[/tex] --- center
[tex]r = 16[/tex] --- radius
To do this, we simply make both circles have the same radius.
Given that:
[tex]r_A=4[/tex] --- radius of A
[tex]r_B = 16[/tex] --- radius of B
Dilating the radius of A by 4 will make both circles have the same radius.
i.e.
[tex]R = r_A * 4[/tex]
[tex]R = 4 * 4[/tex]
[tex]R = 16[/tex]
Now, the new radius of A is 16; same as B
Both circles now have the same radius, means that the circles are similar.
Read more at similar shapes at:
https://brainly.com/question/2859427
Kirk earns $16 for each hour of dog walking. After a total of 3 hours of walking dogs, how
much money will Kirk have earned?
Answers
Answer:
48
Step-by-step explanation:
Help me with my homework, please. \
y= -3/4x + 9
Answers
Answer:
x=12
Step-by-step explanation:
hope this helps
pls help. “Find the Surface Area”
Answers
Answer:
The New Deal was a series of programs, public work projects, financial reforms, and regulations enacted by President Franklin D. Roosevelt in the United States between 1933 and 1939
write the linear equation in slope intercept form.
4x+y=1
Answers
Answer: y=-4x+1
Step-by-step explanation:
The slope-intercept form of a line is y=mx+b. Therefore, y needs to be on one side of the equation, and the x term and constant need to be on the other. Rearrange the equation to make this true:
4x+y=1
(4x+y)-4x=1-4x
y=1-4x
y=-4x+1
What is angle A sum 1 plz I need this quick
Answers
Answer:
37 degrees
Step-by-step explanation:
Someone help me pls.
Answers
Step-by-step explanation :
Base angles in an isosceles trapezium are equal
m2x =x +27
2x-x=27
x =27
On this sailboat the measure of angle A is 46 degrees and the measure of B is 51 degrees . What kind of triangle is this?
PLS PLS HELP ASAP
Answers
Answer:
Scalene
Step-by-step explanation:
The third angle must be 83 degrees because all interior angles of a triangle add up to 180 degrees. It must be a scalene triangle because all angles are different therefore the lengths are aswell.
Answer:
acute
Step-by-step explanation:
3 Triangles ABC and DEF shown in the diagram
are similar.
In triangle ABC, mZA = 64°.
In triangle DEF, m_F= 73º.
What is the measure of ZG?
Answer: mZG=
Answers
Answer:
137
Step-by-step explanation:
Is (2, 10) a solution to this system of equations?
y = 4x + 2
y = x + 8
Answers
Answer:
Yes, (2, 10) is a solution to this system:
y = 4x + 2
y = x + 8
Step-by-step explanation:
When graphed, the two equations cross at (2,10) making it a solution.
Answer:
Yes
Step-by-step explanation:
If y=4x+2 and y=x+8, then 4x+2=x+8
4x+2=x+8
4x=x+6
3x=6
x=2
Plugging this into the original equation "y=x+8", we obtain the result that y=10.
This means, (2, 10) is a solution to the system.
Let me know if this helps!
There are 272 people in an audience. The ratio of adults to children is 5 : 3. How many are children? (please answer)
Answers
Answer:
There are 102 children
Step-by-step explanation:
Let us solve the question
∵ There are 272 people in an audience
∴ The total number of people = 272
∵ The ratio of adults to children is 5: 3
→ Find the sum of the two parts of the ratio
∴ The sum of the parts of the ratio = 5 + 3 = 8
→ By using the ratio method
→ Adults: Children: People
→ 5 : 3 : 8
→ A : C : 272
→ By using the cross multiplication
∵ C × 8 = 3 × 272
∴ 8C = 816
→ Divide both sides by 8
∴ C = 102
∵ C represents the number of children
∴ There are 102 children
If x – 9 is a factor of x2 – 5x – 36, what is the other factor?
Answers
Answer: (x+4)(x−9)
Step-by-step explanation:
Answer:
(X - 9) is one factor
(X + 4) is the other factor
Step-by-step explanation:
You can factor polynomials with guess work or with polynomial division
To factor using guess work search for a number that will multiply with -9 to equal -36 and add with -9 to equal -5.
In order for -9 to add with another number and equal -5 you need to add 4 to it. And because -9 will multiply with 4 to equal -36 as well, 4 is confirmed to be the other factor. You can write out the factor as (x + 4)
Work out the surface area of this cylinder.
Please help.
Answers
Answer:
1846.32
Step-by-step explanation:
v = 3.14r^2h
3.14 (49)12
1846.32
hope this helps
Answer:
total surface area of cylinder=2πr(r+h)=2π×7(7+12)=14π×19=14×22/7×19=836cm²
Write the following as an inequality.
w is greater than -9 and less than or equal to 5
Use w only once in your inequality.
Answers
-9 < w ≤ 5
Explanation:
W is bigger than -9 so the symbol has the bigger end towards the W.
W is also less than or equal to 5 so the smaller end of the sign is towards the W.
The expression (x-4)² is equivalent to... (btw this is about polynomials and all that)
Answers
Answer:
the answer is 8-2x
Step-by-step explanation:
PLZZZZZZZZZZZ HELP
In a recent year, 42% of all college students were enrolled part-time. If 8.9 million college students were enrolled part-time that year, what was the total number of college students?
Round your answer to the nearest million.
Answers
Answer:
A.what was the total number of college students?
B.42%,8.9
C.multiplacation
D. 0.42x8.9=N
E. 0.42×8.9=3,738,000
F.Round your answer to the nearest million.
4,000,000
G. 4,000,000 Is the total number of collage student
I'm just A Beginner｡◕‿◕｡
Answer:
21 million college students
Which one should I choose my brain cells dont exist at this point.
Answers
Trigonometry
Pls help
Answers
If dm=12 find dc and cm
Answers
find x of the triangle
Answers
Answer:
The angle is 90 degrees
Step-by-step explanation:
Is that what ur asking?
Answer: 15.199
Step-by-step explanation:
Using the Pythagorean theorem, we know that a²+b²=c²
In this case, we know that c is 16, and that b is 5.
We can rearrange the equation so that it becomes a²=c²-b²
a²=16²-5²
a²=256-25
a²=231
√a²=√231
a=15.199
someone pls help i will make brainliest IF RIGHT ANSWER! !!1 !!1 !
Answers
Answer:
Neither
Step-by-step explanation:
Triangles are similar if their angles are the same, and if the sides are changed by a proportional ratio. The angles for FED and ZXY are not the same. Therefore, they are not similar
Answer:
D. Neither
Step-by-step explanation:
Similar triangles are scaled versions of each other. Two triangles that are similar will have congruent angles. Hence, to find a triangle that is similarto ABC, the angles of the other triangles will be congruent to the given angles of ABC. As one can see, no other triangle has congruent angles to ABC, and hence the answer is D, neither of the two triangles are similar to ABC.
A (1,4) B (-2,3) C (-4,5) 3 units right 4 units down
Answers
Step-by-step explanation:
can you send a picture so we can see at least?
What's 100 divided by 42
Answers
Answer:
Can you help me? It's worth one hundred points. https://brainly.com/question/21042823
Step-by-step explanation:
2.38095238095
2x^4=9x^2 solve by factoring
Answers
Step-by-step explanation:
2x⁴ = 9x²
2x⁴ - 9x² = 0
x²(2x² - 9) = 0
Either x² = 0 or 2x² - 9 = 0.
When x² = 0, x = 0.
When 2x² - 9 = 0, x² = 9/2, x = ± 3/√2.
Hence the solutions are
x = 0, x = 3/√2 and x = -3/√2.
Debra borrowed 5,000 from a bank for 6 years and was charged simple interest. The total interest that she paid on the loan was 2100 . As a percentage, what was the annual interest rate of her loan?
Answers
Answer:
7% was the interest rate
Molly's hair was 20 inches long. Three years later it was 53 inches long. What was the percent increase, to the nearest hundredth, of Molly's hair length.
Answers
Find how much it grew:
53 - 20 = 33 inches.
Divide the amount it grew by the original length
33/20 = 1.65
Subtract 1:
1.65 - 1 = 0.65
Multiply by 100 for percent:
0.65 x 100 = 65%
The percent increase is 65%
The diameter of a baseball is approximately 3 inches. What is its volume?
Round your answer to the nearest whole number.
A. 9 in^3
B. 13 in^3
C. 113 in^3
D. 14 in^3
Answers
Answer:qe
Step-by-step explanation:
The volume of the baseball is 14 in³.
The volume of a sphere can be calculated using the formula:
V = (4/3)πr³
where V is the volume and r is the radius of the sphere.
We have,
Diameter = 3 inch
radius = diameter / 2 = 3 / 2 = 1.5 inches
Substituting the radius into the volume formula:
V = (4/3) π (1.5)³
V ≈ (4/3) x 3.14 x (1.5)³
V ≈ 14.13 in³
Thus, the volume of the baseball is 14 in³.
Learn more about Volume here:
https://brainly.com/question/21623450
#SPJ6
Solving an Absolute Value Equation
What is the solution set of -+-=-122
O no solution
8-12
(12)
[-12 12
Answers
Answer:
{-12,12}
Step-by-step explanation:
it looks like that I guess
Is this right?
1. Given a right triangle ABC, find the following trigonometric ratios with sides AB = 6, BC = 8 and AC = 10 units. Hint: draw and label your triangle.
a) sin A = 0.13
b) cos A = 0.99
c) tan A = 0.02
d) sin C = 0.01
e) cos C = 0.99
2. Looking back at question 1,
a) which vertex has the right angle? How do you know? B has a vertex. I know this because angle A and and C connect to angle B, and angle B it the corner of a right angle.
b) what do you notice about sine and cosine of complementary angles? The sine of A is different from the sine of C, and the Cosine of A is the same as the cosine of C
Answers
Answer:
Q1.
AC is the greatest side, therefore is hypotenuse. AB and BC are legs.
B is 90 deg as the two legs cross at this point.
Ratios:
sin = opposite / hypotenusecos = adjacent / hypotenusetan = opposite / adjacentBC is opposite to A and adjacent to C
AB is adjacent to A and opposite to C
sin A = cos C = 8/10 = 4/5cos A = sin C = 6/10 = 3/5tan A = cot C = 8/6 = 4/3tan C = cot A = 6/8 = 3/4Q2.
a) Answered above
b) Answered above