A line has a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line ?
Answers
Answer:
y = -2/3x + 6
Step-by-step explanation:
replace the coordinates in the equation
y= mx + c
y= 8
x= -3
8= -2/3 (-3) + c
c + 2 = 8
c = 8 - 2
c = 6
y= -2/3x + 6
Related Questions
Earlier, you were told about a toy rocket fired into the air from the top of a barn. Its height (h) above the
ground in yards after a seconds is given by the function:
h(x) = -52% + 100 + 20
What was the maximum height of the rocket?
Solution
The maximum height was reached by the rocket at one second as you found in part b from the previous
example. It takes second to reach the maximum height. We will substitute that value in for x in our
function and simplify.
The maximum height reached by the rocket was 25 yards. What is the time it takes for the rocket to hit
the ground? (Use a graph or any other method to solve.)
It takes approximately 3.2 seconds for the rocket to hit the ground. (Round to the nearest tenth.)
Answers
Using quadratic function concepts, it is found that:
It takes 1 second to reach maximum height.The maximum height is of 25 yards.It takes approximately 3.2 seconds for the rocket to hit the ground.The height of the rocket after x seconds is given by:
[tex]h(x) = -5x^2 + 10x + 20[/tex]
Which is a quadratic function with coefficients [tex]a = -5, b = 10, c = 20[/tex].
The maximum height will be a reached at a time of [tex]x_v[/tex], and will be of [tex]y_v[/tex], considering the vertex given by:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{\Delta}{4a}[/tex]
[tex]\Delta = b^2 - 4ac[/tex]
Then:
[tex]x_v = -\frac{10}{2(-5)} = 1[/tex]
[tex]\Delta = 10^2 - 4(-5)(20) = 500[/tex]
[tex]y_v = -\frac{500}{4(-5)} = 25[/tex]
Thus:
It takes 1 second to reach maximum height.The maximum height is of 25 yards.It hits the ground when [tex]h(x) = 0[/tex], thus:
[tex]-5x^2 + 10x + 20 = 0[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-10 + \sqrt{500}}{2(-5)} = -1.2[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-10 - \sqrt{500}}{2(-5)} = -3.2[/tex]
We want the positive root, so, it takes approximately 3.2 seconds for the rocket to hit the ground.
A similar problem is given at https://brainly.com/question/24705734
A gardener wants to build a fence around his
square garden. He only has 64 feet of fencing
material. Which inequality shows all the side
lengths, x, that the fence could have?
Answers
Answer:
64 = 4x
64 divided by the total sides the garden has, 4
A line is represented by the equation y = x + 2. Suppose the slope of the line was doubled and the value of the y-intercept was divided by 2. What is the equation of the new line?
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
slope is the coefficient of the 'x' term, in this case 1
doubling 1 gives you 2
y-intercept is 2, dividing this by 2 gives you 1
please help !! find the area and perimeter. I KNOW HOW TO DO IT BUT I JUST DONT HAVE THE TIME RN!!
Answers
Answer:
Step-by-step explanation:
9.
Area = 15 × 5
Area = 75
perimeter = 15 + 6 + 15 + 6 = 42
10.
Area = (10 × 15) ÷ 2 = 75
perimeter = 18 + 10 + 15 = 43
11.
Area = (25 × 10) ÷ 2 = 125
perimeter = 31.6 + 25 + 11.2 = 67.8
please give me a brainliest answer
Is g correct? I need help in this
Answers
4% of 16 is 0.64. Add that to 16 and you get 16.64, letter F.
The path of a ball in flight is given by h(x) = -0.23(x – 3.4)^2 + 4.2 where x is
a. find h(2) and give a real-world meaning for this value
b. find the x values for h(2)= 2, and describe the real-world meaning of these values
c. how high was the ball when it was released
d. how far will the ball go before it hits the ground
Answers
Answer:
B
Step-by-step explanation:
It’s b
May I please receive help?
Please???
Answers
Answer:
m1 is 25 and m2 is 50
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
x+2x=75
Andre is paid $12 per hour at his caddying job and $9.50 per hour working at a local fast food restaurant. He would like to keep both jobs and earn at least $275.00 a week, but he can work no more than 25 hours. If x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant, which system models this scenario?
Answers
The equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25
Let x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant.
Since he earn at least $275.00 a week, hence:
12x + 9.5y ≥ 275 (1)
Also, he can work no more than 25 hours, hence:
x + y ≤ 25 (2)
Therefore the equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25
Find out more at: https://brainly.com/question/25285332
In a bicycle race, Rhonda’s time was 3.8 min. faster than Stephanie’s time. If t represents Rhonda’s time, which equation is true?
Answers
Answer: B
Step-by-step explanation:
She was 3.8 minutes faster, so you take Stephanie's time and subtract the 3.8 minutes.
guys pls help me!!!!!!!
Answers
Answer:
n=27
Step-by-step explanation:
(n+6)° + (2n+5)° +90° = 180°
3n+9=90
3n=81
n=27
Sorry if I did it wrong
. Ramu took a loan of 50000 rupees from a bank which charges 10% interest, compounded an- nually. He repaid 10000 rupees after one year and 15000 rupees after two years. How much should he pay at the end of three years to settle the loan?
Answers
Answer:
= 30,550 rupee owed
Step-by-step explanation:
yr1 = 50000 x 0.10^1 = 5000
5000 - 10000 = 5000 credit from debt.
yr 2 = 50000 x 1.10^2 = 500 debit from debt = 5000-15000= 10,000 credit from debt
yr 3 = 50000 x 1.10^3 = 50 debit from debt
5000 + 500 = 15000 where 50,000 owed initially and yr1 and yr 2 paid in full interest of 5500 and we deduct this from his payment = 25000-5500 =
19500 paid of initial and nothing owed on interest.
50000-19500= 30,500 rupees owed + 50 rupee interest.
= 30,550 rupee owed
The amount he should pay at the end of the three years to settle the loan is; 41,550 Rupees
Compound InterestWe are given;
Investment = 50000 rupees
Annual Interest Rate = 10% = 0.1
Since the interest is compounded annually, then number of times of compounding = 3
Thus;
Amount to pay after 3 years is;
A = 50000(1 + 0.1)³
A = 50000 × 1.1³
A = 66500 Rupees
Now, we are told that he has already paid 10000 rupees after one year and 15000 rupees after two years. Thus, amount he now owes to settle the loan = 66500 - (10000 + 15000) = 41,550 Rupees
Read more on Compound Interest at; https://brainly.com/question/2455673
let a,b,c be the three rational numbers where a = 2/3 , n = 4/5 and c = -5/6
verify
(i) a+(b+c)=(a+b) +c ( associative property of addition )
(ii) a×(b×c)=(a×b)×c ( associative property of multiplication
Answers
here associative property of addition proved.
Step-by-step explanation:
I)
substitute value of a , b and c
do little simplification and
you will come up with solutions
Answer:
Hello How are you
Step-by-step explanation:
a,b,c be the three rational numbers where a = 2/3 , n = 4/5 and c = -5/6
verify
(i) a+(b+c)=(a+b) +c ( associative property of addition )
(ii) a×(b×c)=(a×b)×c ( associative property of multiplication
I don't know this ans
Graph f(x) = -3/4x - 4.
Answers
Answer:
PLS HELP ME 7
Step-by-step explanation:
De'shawn pays $8.16 for 12 pounds of sugar what is the price per pound of sugar asp
Answers
Hello, to do this, simply do 8.16 divided by 12 to get 0.68 cents per pound. 0.68 is your price per pound.
Help pls, will give branliest to right answer
Answers
Answer:
Similar AA
Step-by-step explanation:
By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.
Answer:
C. similar AA
10+10=? trả lời đi mà
Answers
10Answer:
10 + 10 =
Step-by-step explanation:
=20
PLZ HELP
A cylinder and a cone have the same diameter. 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use ll = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work
Answers
Answer:
This is the answer, dont forget to change the wording or you'll get a plagiarism strike.
Step-by-step explanation:
Pls HelP Me ASAP!~!~!~!
Describe and correct the error
|-13|-|13|
=-13-13
=-26
Answers
Answer:
The error is that the question equals -13-13.
Step-by-step explanation:
This is absolute value, so anything inside of the bars is positive. Since the first -13 has bars around it it would be positive. But since the second - is outside of the 13 with bars, the 13 stays negative, so it would be 13-13. Hope this helps! :)
What are the factors of -3?
Answers
Step-by-step explanation:
The positive factors of -3 are 3 and 1
There is also -3 and -1
MARKING BRAINLEIST IF YOUR RIGHT !
Answers
Answer:
c = m + 4
you solve for c by simplifying both sides of the equation, then isolating the variable.
Answer:
Your answer is
c = m + 4
just click on the image
Answers
Which of place value is found to the left of the 1 in 10?
Answers
Answer:
Hundreds :)
Step-by-step explanation:
Explain how you can use mental math to
calculate 2^8.
Answers
Answer:
think about what 2 times 8 equals
Step-by-step explanation:
What is the slope of (-6,-3) and (-2,-8)
Answers
Answer:
-5/4
Step-by-step explanation:
.......................
The question gives us two points, (-6,-3) and (-2,-8), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (-8 - (- 3)) ÷ (-2 - (-6))
= - ⁵/₄
Checking my answer:
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-3) = - ⁵/₄(x - (-6))
y + 3 = - ⁵/₄ (x + 6)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later, there is only 1/6 of the tub left. What was the average hourly change in tub fullness?
Answers
0.10
so sorry i couldn't make it a fraction :(
please help and with an explanation if you can !! I’m not good at math bro I’ll give you brainliest
Answers
Here’s the answers for you.
Write 6^7 + 6^5 + 11 in base six. Use the digits 0, 1, 2, 3, 4, 5
Answers
Answer:
Sorry I don't remember the answer
You saved $300 from waiting tables and $100 from babysitting this
summer. You put this in a savings account that earns 0.9% interest. You
left it in the account for 24 months before deciding to spend it. How
much interest did you earn?
Answers
86.4
....................
Emmanuel went to Circuit City to buy a refrigerator for $3,652. This week at Circuit City, all kitchen appliances have a discount of
35%. If Emmanuel goes to Circuit City this week, how much will he pay for the refrigerator?
$1.278.20
$4.930.20
$2.373.80
53,617 00
Answers
Answer:
The answer is C
Step-by-step explanation:
i had this as homework before
i hope this helped :)
Solve f(x) >0
F(x)= (x-1)(x+3)^2
Answers
AnSolve f(x) >0
F(x)= (x-1)(x+3)^2
Solve f(x) >0
F(x)= (x-1)(x+3)^2
Solve f(x) >0
F(x)= (x-1)(x+3)^2
Step-by-step explanation: