Answers
Part (i)
Compute the slope of the line through the two points (0,0) and (4,8)
m = (y2 - y1)/(x2 - x1)
m = (8-0)/(4-0)
m = 8/4
m = 2
The slope of this line is 2, so,
velocity = 2 m/s==============================================
Part (ii)
The two points we're working with are (4,8) and (6,8). The slope is...
m = (y2 - y1)/(x2 - x1)
m = (8-8)/(6-4)
m = 0/2
m = 0
Horizontal lines always have a slope of 0 to indicate no change in height.
The velocity is 0 m/s.==============================================
Part (iii)
Same idea as the previous parts. The endpoints are (6,8) and (9,14)
m = (y2 - y1)/(x2 - x1)
m = (14-8)/(9-6)
m = 6/3
m = 2
This piece also has slope 2. This piece is parallel to the first piece. Parallel lines have equal slopes but different y intercepts.
velocity = 2 m/s==============================================
Part (iv)
(a) The average velocity from 0 to 4 seconds is the exact same as the velocity we computed earlier in part (i). The answer is 2 m/s(b) We travel 8 meters in 6 seconds, so the average velocity is 8/6 = 4/3 = 1.33 m/s approximately. You can use the slope formula for the endpoints (0,0) and (6,8) to get the same result.(c) The average velocity is 14/9 = 1.56 m/s approximately because we travel 14 meters in 9 seconds. You can use the slope formula for the endpoints (0,0) and (9,14).As you can see, with average velocity, all we care about are the starting and ending points. We aren't concerned at all with what happens in between.
Comparing the results for part (i) and part (iv)(b), we see that the velocity has gone down. This is due to the flat portion in which you aren't moving.
Related Questions
SHOW WORK FOR BRAINLEST!
Are the two figures similar? If so, give the scale factor of the first figure to the second figure.
Answers
Answer:
Step-by-step explanation:
The scale factor is 2/3
2/3=2*2/2*3=4/6
2/3=2*3/3*3=6/9
The two figures are similar and the scale factor of the first figure to the second figure is [tex]\frac{2}{3}[/tex]
What is Scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
From the given figure take the same sides of both figure
Width = [tex]\frac{6}{9}=\frac{2}{3}[/tex]
Length = [tex]\frac{4}{6}=\frac{2}{3}[/tex]
Height = [tex]\frac{2}{3}[/tex]
Therefore the scale factor is [tex]\frac{2}{3}[/tex]
Hence, the two figures are similar and the scale factor of the first figure to the second figure is [tex]\frac{2}{3}[/tex]
Learn more about Scale factor here
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Jose is x years old. His brother, Felipe, is 2 years older than Jose. Their aunt, Maria, is three times as old as Felipe. Write and simplify an algebraic expression to show Maria’s age in years. (Hint: your answer will not be a number...it will be an algebraic expression)
Answers
Answer:
3(x + 2) = 3(x) + 3(2)
= 3x + 6
Step-by-step explanation:
The orange shape is a dilation of the black shape. What is the scale factor of the dilation?
Answers
Answer:
4
Step-by-step explanation:
If one discount point costs the borrower 1% of the loan amount and increases the lender's yeild by ⅛ of 1 percent how many discount points must be purchased to lower the interest rate by 1 percent
Answers
Answer:
He has to buy 8 of course
Step-by-step explanation:
Can someone please tell me what is 9x = -7
Answers
Answer:-7/9 ( as a fraction )
Step-by-step explanation:
To isolate x divide 9 on both sides
You get -7/9
Which book should they choose for the district?
Answers
Answer:
A
Step-by-step explanation:
While the obvious answer might be Book B because that had the most amount of teachers that approved it, I looked at it a different way. I think that the best book has the greatest percentage of teachers approved compared to the total teachers who reviewed the book. Let's apply this to the 4 books.
A: Approved = 8 Total = 9 8/9 = 88%
B: Approved = 24 Total = 29 24/29 = 83%
C: Approved = 12 Total = 16 12/16 = 75%
D: Approved = 20 Total = 26 20/26 = 77%
As you can see, Book A should be chosen because it has the highest percentage. I hope this helps and makes sense!
-7.33 - 1.3n = -0.18
HELPPPPP!!!!
Answers
Answer:
The answer to your probem is -5.5
Answer:
-1.3n - 7.33 = -0.18
-1.3n = 7.15
n = -5.5
Step-by-step explanation:
If you take a number, times by 8 then add 6. You get the same as if you took the number, times by 3 then subtract 7. What is the number?
Answers
I don't say you have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....
A die is rolled. What is the probability that the result is less than 3?
Answers
Answer:
1/6 if the die is 6 sided
Step-by-step explanation:
it wold have a 1/6 chance to land on 3 if the die is 6 sided
Which equation can be used to find the surface area of the cylinder?
d = 6 cm
h = 14 cm
S= 2(14)2 + 25(14)(6)
S=2(3)2 + 2(3)(14)
S=28(6)2 + 25(6)(14)
S=2643)2 +27(3)(14)
Answers
Answer:
S = π( 2(9) + 2(3)(14))
Step-by-step explanation:
Here we are to select which of the options best describe the equation that could be used to find the surface area of the cylinder.
Mathematically,
the surface area of a cylinder can be calculated using the formula
S = 2 π r^2 + 2 π rh
from the question, we have r as d/2 = 6/2 = 3cm and h = 14cm
We plug these two values into the equation above
Thus, we have
S = 2 * π * 3^2 + 2 * π * 3 * 14
S = π( 2(9) + 2(3)(14))
Remove all perfect squares from inside the square root√450
I need an answer ASAP please.
Answers
Answer:
[tex]\sqrt{450}= 21.21[/tex]
Step-by-step explanation:
[tex]\sqrt{450}=\sqrt{225*2}=15\sqrt{2}=21.21[/tex]
The required expression is 15√2.
In mathematics to operate and interpret the function to make function simple or more understandable is called simplification.
Simplification
= √450
=√3*3*5*5*2
=3*5√2
=15√2
Thus, the required expression is 15√2.
Study more about simplification here:
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lisa watches the vehicles that passes buy in front of he apartment building.she has counted 15 vans and 30 cars. what is the approximate probability that the next vehicle lisa sees is a van?
A) 25%
B) 0.5
C)1/3
D3/2
Answers
12/19*.............................= -12/19
Answers
Answer:
[tex] \frac{12}{19} \times \underline{\bold{-1}} = -\frac{12}{19} [/tex]
Step-by-step explanation:
[tex] \frac{12}{19} \times ..... = -\frac{12}{19} [/tex]
= [tex] \frac{\frac{12}{19}}{-\frac{12}{19}} [/tex]
= [tex] \frac{12}{19} \times -\frac{19}{12} [/tex]
= [tex] -\frac{228}{228} [/tex]
= [tex] \bold{-1} [/tex]
So, the appropriate value to complete it is -1
#CMIIW ^^
Answer:
-1 is the answer
Step-by-step explanation:
:)
whats the radius for the circle? x^2+2x+y^2+4y-6=0
Answers
Answer:
r = [tex]\sqrt{11}[/tex]
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use [tex](\frac{b}{2} )^{2}[/tex] to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get [tex](\frac{2}{2} )^{2} =(1)^{2} =1[/tex]
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get [tex](\frac{4}{2} )^{2}=(2)^{2} =4[/tex]
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides [tex]\sqrt{r^{2}} =\sqrt{11}[/tex] to get r = [tex]\sqrt{11}[/tex]
Why is math so hard
Answers
Answer:
because their are so more calculaition
Which side lengths form a right triangle? Choose all answers that apply: Choose all answers that apply: (Choice A) A 3, 6, \sqrt{45}3,6, 45 3, comma, 6, comma, square root of, 45, end square root (Choice B) B \text{2.5, 6, 6.5}2.5, 6, 6.5start text, 2, point, 5, comma, space, 6, comma, space, 6, point, 5, end text (Choice C) C 4, 8, \sqrt{80}4,8, 80
Answers
Answer:
A, B and C
Step-by-step explanation:
Given any three side lengths of a right triangle, the longest side is the hypotenuse.
The side lengths of a right triangle must satisfy the Pythagorean Theorem.
Pythagorean Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
Option A: [tex]3, 6, \sqrt{45}[/tex]
[tex](\sqrt{45})^2=3^2+6^2\\45=36+9\\45=45[/tex]
True
Option B: 2.5, 6, 6.5
[tex]6.5^2=6^2+2.5^2\\42.25=36+6.25\\42.25=42.25 (TRUE)[/tex]
Option C: [tex]4, 8, \sqrt{80}[/tex]
[tex]4, 8, \sqrt{80}\\( \sqrt{80})^2=4^2+8^2\\80=16+64\\80=80 (TRUE)[/tex]
Since all are true, the side lengths in Options A, B and C forms a right triangle,
Answer:
ABC
Step-by-step explanation:
Malcolm and Ravi raced each other.
The average of their maximum speeds was km/h260 if doubled Malcolm's maximum speed would be km/h80 more than Ravi's maximum speed.
What were Malcolm's and Ravi's maximum speeds?
Answers
Answer:
ravi's is 440 and malcolm's is 520 i think
Step-by-step explanation:
Geoff thinks of a number. He deducts five from it and the divides the result by three. His answer is 25. what number did he start with?
Answers
Answer:
80
Step-by-step explanation:
Geoff's number is 80. We can figure this out by reversing the steps.
Instead of dividing, we can multiply 3 by 25 to get the number in which 5 was subtracted to get that number.
3 x 25 = 75
75 + 5 = 80
Therefore, Geoff's number is 80.
Answer:80
Step-by-step explanation:
What does 3 to the zero power equal?
Answers
Answer:
1
Step-by-step explanation:
any number to the power 0 is equal to 1
Answer: 1
Step-by-step explanation:
n^0 = 1
any number raise to zero is one
please help !!
use this set of points to help answer 11a and 11b:
(0,9) (2,8) (4,7) (6,6) (8,5)
11a. Write a point that could be added so that the set of points represents a function.
11b. Write a point that could be added so that the set of points does not represent a function.
Answers
Answer:
11a. (1, 1)
11b. (2, 2)
Step-by-step explanation:
A function cannot have an x-value that produces multiple different y-values. A function can have a y-value that produces multiple different x-values.
For this question, you could put in a number of different points and still get the right answer. If you work through this problem yourself again and pick different points from mine, it doesn't mean that it is wrong. As long as it follows the rules stated above, you will get the correct answer.
11a. (1, 1)
This is an x-value that was not stated in the data set. This means that, as far as we know, there is only one y-value for the x-value of 1.
11b. (2, 2)
This is an x-value that was stated in the data set. This means that for the x-value of 2, there are two y-values: 2 and 8.
I need to pass this please any help is appreciated
Answers
Answer:
GF = GE so GE = 7x-3
Answer:
GE = 38
Step-by-step explanation:
6x + 2 = 7x - 3
6x + 5 = 7x
5 = x
Put the variable into the equation of GF, since GF and GE make a square therefore are equal.
7(5) - 3
GE = 38
If you are making a complementary angle and one angle is 70 degrees. What must the other angle measure?
Answers
Answer:
20 degrees
Step-by-step explanation:
complementary angles sum up to 90 degrees
Answer:
[tex]20 \: \: degrees[/tex]
Step-by-step explanation:
complementary angles mean either of two angles whose sum is 90°.
[tex]x + 70 = 90 \\ x = 90 - 70 \\ x = 20 \: \: degrees[/tex]
Answer these maybe? I’m confused
Answers
Step-by-step explanation:
c) j = 95 degree (similar triangle)
d) jk/4 = 4.6/9.2
jk/4 = 1/2
jk = ?
Answer:
angle k = 30.4
Step-by-step explanation:
Large triangle :
95 + 15 = 110
180 - 110 = 70 degrees
Now, the second triangle is 2.3 times larger than the first one.
(9.2 divide 4 = 2.3)
so, 70 degrees divided by 2.3 = 30.4
Which of the following values is the solution to the equation
-16 + x = -30 ?
1.)-2
2.)-14
3.)-480
4.)-46
Answers
Answer:
Step-by-step explanation:
x - 16 = -30
x = -14
Answer:
3.
Step-by-step explanation:-16 + x = -30
please help quickly !
Answers
Answer:
See Below:
Step-by-step explanation:
b*3/5 = l
where b is the cost of the bill, being multiplied by 3/5 to find out how much of it was l, labor cost.
We now labor was 79.50 so we substitute that for l.
b*3/5= 79.50 We now multiply by 5/3 on both sides to isolate b, the cost of the bill.
b= 132.50
The correct equation is D, 3/5*b = 79.50 and the total bill was 132.50
Answer:
antwoord
Is d
Step-by-step explanation:
Use the work shown below to find the simplified product. StartFraction 25 x squared Over 2 x + 6 EndFraction times StartFraction 2 Over 5 x EndFraction StartFraction 25 x squared Over 2 (x + 3) EndFraction times StartFraction 2 Over 5 x EndFraction Choose the simplified product.
Answers
Answer:
c
Step-by-step explanation:
:)
Answer:
C.
Step-by-step explanation:
5x/x+ 3
Find the measure of Angle b - ONLY TYPE THE NUMBER (if you write the number with anything else, it will be counted incorrect by the system) *
Answers
Answer:
47 degrees
Step-by-step explanation:
i hope this helps
Which expression is equivalent to 8 x minus 12 y + 32?
A.16 (0.5 x minus 4 y + 32)
B.16 (0.5 x minus 0.75 y + 32)
C.16 (0.5 x minus 0.75 y + 2)
D.16 (0.5 x + 4 y + 2)
Answers
Answer:
Because is said
Step-by-step explanation:
C
If -----
1 =2
3=18
5=50
4=32
Then,
6=?
Answers
Answer:
i believe the answer is 80
Step-by-step explanation:
Please help
Algebra 1
Look at the photo below...
Answers
horizontal line: x=9
vertical line: y=3
You can plug it into the application demos to see it visually just put y=3 on one line and x=9 on the other