Answer:
The truck's relative position with respect to the car is: -100 feet
Step-by-step explanation:
If the truck is moving at a seed "V" then its position after 8 seconds is going to be:
XT = V* t = V * 8 = 8 V
The car, which is initially 60 feet ahead of the truck and starts moving at 5 m/s faster than the truck, would have a speed given by: V + 5
And its position (relative to the truck's) would be:
XC = 60 + (V + 5) * t = 60 + (V + 5) * 8 = 60 + 40 + 8 V = 100ft + 8 V
then the position of the truck relative to that of the car would be given by the difference:
XT - XC = 8 V - (100 +8 V) = 8 V - 8 V - 100ft = -100 feet
Paul and Seth know that one point on a line is (4,2) and the slope of the line is -5. Each student wrote a different equation relating x and y . Do the two equations represent the same line ? Construct a mathematical argument to support your answer .
Answer:
Step-by-step explanation:
Paul's equation,
Since the given line is passing through a point (4, 2) and slope = -5,
y = mx + b
2 = -5(4) + b
2 = -20 + b
b = 22
Therefore, equation of the line will be,
y = -5x + 22
Seth equation,
Slope of a line passing through two points (x, y) and (4, 2),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
-5 = [tex]\frac{y-2}{x-4}[/tex]
-5(x - 4) = y - 2
-5x + 20 = y - 2
y = -5x + 22
Therefore, both the equations represent the same line.
Multiply. Enter your answer as a simplified mixed number.
-4(7/10)
The product is:
Answer:
−2.8 or - 2 8/10
Step-by-step explanation:
hope that helps
A bag contains 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. What is the ratio of the number of blue marbles to the number of marbles that are orange or green?
Answer:
C
Step-by-step explanation:
blue+green=15
blue is 5
5 to 15
Answer:the answer is C
Step-by-step explanation:there are 5 blue marbles then you add 6 green and 9 orange, that makes 15 so your answer is 5 to 15
Enter the ordered pair for the vertices for Rx-axis(QRST).
The graph with X-coordinate marks -4, -2, 0, 2, 4 and Y-coordinate marks -4, -2, -1, 0, 2, 4, 6. There is a polygon QRST with coordinates T at (-2, 3), Q at (1, 5), R at (3, -1) and S at (0, 0).
Given:
The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).
To find:
The vertices for [tex]R_{x-axis}(QRST)[/tex].
Solution:
The rule [tex]R_{x-axis}(QRST)[/tex] represents refection of polygon QRST across the x-axis.
If a figure is reflected across the x-axis, then
[tex](x,y)\to (x,-y)[/tex]
Using this rule, we get
[tex]T(-2,3)\to T'(-2,-3)[/tex]
[tex]Q(1,5)\to Q'(1,-5)[/tex]
[tex]R(3,-1)\to R'(3,1)[/tex]
[tex]S(0,0)\to S'(0,0)[/tex]
Therefore, the vertices for [tex]R_{x-axis}(QRST)[/tex] are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).
Rx-axis means that the polygon QRST is reflected across the x-axis.
The ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)
The points are given as:
[tex]\mathbf{Q = (1,5)}[/tex]
[tex]\mathbf{R = (3,-1)}[/tex]
[tex]\mathbf{S = (0,0)}[/tex]
[tex]\mathbf{T = (-2,3)}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{Q' = (1,-5)}[/tex]
[tex]\mathbf{R' = (3,1)}[/tex]
[tex]\mathbf{S' = (0,0)}[/tex]
[tex]\mathbf{T' = (-2,-3)}[/tex]
Hence, the ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)
Read more about reflections at:
https://brainly.com/question/938117
Rochelle received a $15 gift card to an online music store. She downloaded 12 songs that each cost the same price. After the gift card was applied, her total was $8.88. Which equation can be used to find , the price of each song?
Answer:
15 + 18.88 ÷ 12 = p
if p were price of each song
p= 1.99
Find the volume of the sphere. Sorry the pic isn’t the best! I tried lol!
Answer:
4,186.6 repeated (just round to .7 if it asks for it)
Step-by-step explanation:
The volume of a sphere is 4/3 pi r^3
plug in the radius and simplify that expression
Help!!I will give BRAINLIEST
Answer:
3.125
Step-by-step explanation:
Hope this helps!! :)
Answer:
3.05
Step-by-step explanation:
At Clean Cut Manufacturing, Jethro made a graph representing the number of riding lawn mowers manufactured, y, based on the number of hours the assembly line is operating, x. The graph is a straight line that passes through the origin and the point (1, 13). Which of the following graphs and statements fit the situation? The assembly line manufactures 13 riding lawn mowers per hour of operation. The slope of the graph is 1. The y-intercept of the graph is 13. It takes 13 hours of operation for the assembly line to manufacture each riding lawn mower.
Answer:
The assembly line manufactures 13 riding lawn mowers per hour of operation. And the graph that the line is vertical but slightly tilted.
Step-by-step explanation:
so i just learned multiplying negative number and i have to put them on a number line pls help
here is the Qustion
-2 x 5 =
please explain
Answer:
-10
Step-by-step explanation:
Alright, let me explain negative multiplcation.
A negative number multiplied by another negative number becomes a positive number. But a negative number multiplied by a positive number is still negative. Every pair of 2 negatives become positive. This is important. Make sure to remember that.
That's it! If you need more help then reach out to your teacher. I'm sure that they will be more than happy to help!
Hope this helped! :)
Answer:
the awnswer is -10
Step-by-step explanation:
Remember a negative times a negative is the only time the answer will be positive. When a negative is multiplied by a positive it will always be negative.
ex:
-2 x 5
since this is a negative and a positive the answer will be negative. knowing that just multiply 2x5=10 then add the negative -10.
If 6 x 7 = 26 +0, find the number that belongs in the box.
211
How do you say 9.876?
Answer:
nine point eight hundred seventy six....hope u got, babes...
4n + 1= 25 how do I solve this and show my work?
Answer:
n=6
Step-by-step explanation:
4n + 1= 25
Move constant to the right
4n=25-1
Calculate
4n=25-1
Then divide on both sides
Answer:
Today: Friday, 06 November 2020
Hour: 09.44 WIB (Indonesia)
_______________________________
4n + 1 = 25
4n = 25 - 1
4n = 24
n = 24/4
n = 6
What do you call a female bug that floats?
Answer:
A buoyant girl ant
Step-by-step explanation:
hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp
Answer:
B is the answer
Step-by-step explanation:
James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.
Answer:2 4 and 5
Step-by-step explanation:
Zoey wants to use her iPad throughout a 6-hour flight. Upon takeoff, she uses the iPad for 2 hours and notices that the battery dropped by 25%, from 100% to 75%. How many total hours can Zoey expect from the iPad on a full battery charge?
Answer:
6 hours more
Step-by-step explanation
When Zoey started the flight the battery was 100%, then it dropped to 75% in 2 hours. So each 25% will last 2 hours and there is 75% remaining which if you divide by 3 it will give 1. And each 25% will last 6 more hours until the battery dies.
Please help me I need help?!!!
Answer:
B
Step-by-step explanation:
Four consecutive odd integers sum to 304. Which integers are they?
Answer:
i would tell you but what are the options if you tell me that ill gladly help you out
Step-by-step explanation:
would it be 25.3 or just 25
kala is saving money to buy a bike that cost $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money to buy the bike?
PLEASE HELP ME ASAP
Answer:
The answer is Option D
Step-by-step explanation:
Supplementary angles are angles that sum up to 180 °
What is the formula for finding distance?
Answer:Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation
Step-by-step explanation:
Here is a number line:
Write the number at as a fraction.
Write the number at as an equivalent fraction.
Answer:
1/4 is A as a fraction
2/8 is an equivalent fraction to A
Step-by-step explanation:
Count the lines :)
9. Which expression is equivalent to 14(8x−36)+2x? (1 point)
a. 10x - 36
b. 30x
c. 4x - 9
d. 4x - 36
Answer:
Step-by-step explanation:
14(8x-36)+2x
112x -504 +2x
114x-504
You are in charge of food shopping for a party. You need to buy snacks and soda. A bag of snacks costs $2 and a pack of soda $3.5. If your mom gives you $25 to buy groceries and you buy 8 bags of snacks, how many packs of soda can you buy?
Answer:
2 bags
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
2x8=16
25-16=9
3.5+3.5=7
help, brainliest to whoever answers
Answer:
Step-by-step explanation:
y=x+4
Example of a balance point
a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.
Solve one fourth plus ten sixteenths
Answer:
The answer is 0.875
Answer:
13
Step-by-step explanation:
Which step will get you closest to the solution of this equation?
5.2 – 2)=7
(Imagine math)
Answer:
I'm pretty sure it's the to right one
Step-by-step explanation:
What is the product of -5/8 and -6/7
Answer:
-1 27/56
Step-by-step explanation:
Using the given fractions,
−58+−67
Applying the fractions formula for addition,
=(−5×7)+(−6×8)8×7
=−35+−4856
=−8356
Simplifying -83/56, the answer is
=−12756
Does anybody have any tips for calculating slopes in Algebra 1???
Answer:
The equations are really hard, so if you can find a slope interpreter or something that might be helpful.
I find it easier to just count the up and across.
Step-by-step explanation:
