Answer:
Finding slope: y2-y1/x2-x1
3-9/1+2
=-6/2
Divide 2 from both
=-3/1 or -3
Slope= -3
Finding y-intercept= y=mx+b
Choose any point on the line to plug in the x and the y then plug in the slope.
I choose (1,3)
3=-3×1+b
3=-3+b
Add 3 to both sides
6=b
Y-intercept=6
Equation: y=-3x+6
Step-by-step explanation:
Please discuss the relationship between the value of "a" in a quadratic function [y = a(x - h)2 + k or y = ax2 + bx + c] and the distance the focus is from the vertex. Please give examples to support your conclusion.
Please Help!
Answer:
The given equations are;
y = a·(x - h)² + k or y = a·x² + b·x + c
We have;
(x - h)² = 4·p·(y - k),
Where;
(h, k) are the x, and y coordinates of the vertex
p = The distance from the focus to vertex distance;
Comparing, we have;
y - k = a·(x - h)²
(y - k)/a = (x - h)²
(x - h)² = 4·p·(y - k)
4·p·(y - k) = (x - h)²
∴ 4·p = 1/a
p = 1/(4·a)
Therefore, the focus to vertex distance inversely proportional to the value of a
The distance of every point on the parabola is equidistant from the directrix and the focus
Therefore, the equation of the directrix is y = k - p
For example, we have;
y = 2·x² + 3·x + 1
h = -b/2a = -3/4
k = (4ac - b²)/4a = (4×2×1 - 3²)/(4×2) = -1/8
The coordinate of the focus is (h, k + p) = (-3/4, -1/8 + 1/8) = (-3/4, 0)
The directrix, y = k - p = -1/8 - 1/8 = -1/4
For a point x = 2, we have, y = 2·2² + 3·2 + 1 = 15
The coordinate of the point is (2, 15)
The distance of the point from the directrix = 15 - (-1/4) = 15 + 1/4 = 15.25
The distance of the point from the focus is √((2 - (-3/4))² + (15 - 0)²) = 15.25
Therefore, all points on the parabola have equal distances from the focus and the directrix
Step-by-step explanation:
Make Sense and Persevere Paxton, a summer camp counselor, has a budget of $300 to spend on caps and T-shirts for a summer camp.
plz help this is due soon!!!
Answer:
9 shirts and 10 caps
Step-by-step explanation:
Buying one t shirt costs 20 dollars, and one cap would cost 12 dollars. If Paxton bought one cap and one shirt, that would cost 32 dollars. If we multiply that by 9, we get 288. So Paxton can buy 9 shirts and 9 caps with 288 dollars. Paxton has 12 dollars left, so Paxton can buy one more cap to entirely spend the budget.
Divide using polynomial long division. (Show your work)
Hint: don’t forget the 0x
(x^3-2x^2+4) ÷ (x+3)
Answer:
x^3−2x2+4x+3=x2−5x+15+−41x+3
Step-by-step explanation:
1.Divide the leading term of the dividend by the leading term of the divisor: x3x=x2.
Write down the calculated result in the upper part of the table.
Multiply it by the divisor: x2(x+3)=x3+3x2.
Subtract the dividend from the obtained result: (x3−2x2+4)−(x3+3x2)=−5x2+4.
2.Divide the leading term of the obtained remainder by the leading term of the divisor: −5x2x=−5x.
Write down the calculated result in the upper part of the table.
Multiply it by the divisor: −5x(x+3)=−5x2−15x.
Subtract the remainder from the obtained result: (−5x2+4)−(−5x2−15x)=15x
3.Divide the leading term of the obtained remainder by the leading term of the divisor: 15xx=15.
Write down the calculated result in the upper part of the table.
Multiply it by the divisor: 15(x+3)=15x+45.
Subtract the remainder from the obtained result: (15x+4)−(15x+45)=−41.
I can't figure this out :/
Answer:
I believe it is d because when you get to negatives they are always on the left side
Step-by-step explanation:
find the slope of the line
Answer:
Up 5, 2 to the right (5/2)
Step-by-step explanation:
I just counted the units of the Cartesian Plane
Does this graph represent a function ?
add my sc guys its jg5690
Keith has $500 in a saving account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 (that means he takes $25 out of) from his account each week for food, clothes, and movie tickets.
Answer:
keith is poor
Step-by-step explanation:
sorry
An amusement park has two types of season passes. Plan 1 charges a one-time fee of $175.00 for admission plus $8.00 every trip for parking
Plan 2 charges a one-time fee of $125.00 for parking plus $13.00 every trip for admission. For what number of trips is the cost of these plans
the same?
Answer:
The answer is stan twice
Step-by-step explanation:
simple
Answer:
x=10
Step-by-step explanation:
Starting out 1 PM the temperature changes -4°F per hour write and solve an equation to determine how long it will take for the temperature to reach -1°F F at1 PM the temperature is 35°F
Answer:
i dunno man you worded it weird
Step-by-step explanation:
name 2 types of subtraction
pls help I'm gonna give brainliest but just help pls I need to do this but I don't get it.
A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the two cities can the car travel in 1 hour?
Answer:
They travel 5/18 in one hour
Step-by-step explanation:
Answer:
In an hour the car can cover 5/18 of the distance
Mr. Hoagie's Sandwich Shop charges a 9% delivery fee on all orders. If your food costs $27.50, what should you expect your total bill to be if it includes the delivery fee?
Answer:
$36.50
Step-by-step explanation:
9% of 27.50= 9. Adding the $9 fee, $36.50 is your total price. Hope this helped.
A car travels 60 miles due north then makes a turn due west. It travels 72 miles west. How far is the car from ils starting point?
Answer:
132 miles
Step-by-step explanation:
Answer: the answer is 93.7 miles
If∠
Answer:
where is tge other half question?
what's the pagathorium theorem
Answer:
c=a2+b2
Step-by-step explanation:
Find the value of x.
The side opposite the right angle is the side labelled x. ...
x=√100=10.
Maybe you remember that in an equation like this, x could also be –10, since –10 squared is also 100. ...
Find the value of y.
y=√80=√16×5=4√5.
x=√17.45≈4.18 miles.
Answer:
thats the formula
a^2 + b^2 = c^2
Step-by-step explanation:
a = side of the right angle/adjacent side
b = side of the right triangle/opposite side
c= hypotenuse
A retailer marks up their furniture 33% over wholesale prices. If a dresser costs $975 wholesale, what does the retailer charge?
Answer:
$1296.75Step-by-step explanation:
PLEASE HELP ASAP DUE In 5 MINUTES
Keegan and Annie are working on an experiment in the
science lab. Their mixture contains ingredients that weigh
5.12 grams, 4.7 grams, and 7.32 grams. Keegan calculates
the combined weight to be 17.14 grams; Annie calculates
it to be 12.91 grams.
Who is correct, and why?
5.12
4.70
Keegan
+7.32
17.14
5.12
4.7
Annie
+7.32
12.91
O A. Keegan is correct. Annie did not regroup properly,
O B. Annie is correct. Keegan did not line up the decimals correctly.
C. Keegan is correct. Annie did not line up the decimals correctly.
D. Annie is correct. Keegan did not regroup properly.
Answer:
me name mort am swag
Step-by-step explanation: me my mom. she say help the noob. am no help you. doodoo pants.
Stephanie is giving a presentation to a new client. It took her 1713 minutes to finish a 13-slide presentation. She took the same amount of time on each slide. How long did she spend on each slide?
Answer:
Time taken per slides = 131.77 minutes.
Step-by-step explanation:
Given the following data;
Total time, t = 1713 mins
Number of slides, n = 13
To find the amount of time spent on each slides;
Time taken per slides = t/n
Substituting into the equation, we have;
Time taken per slides = 1713/13
Time taken per slides = 131.77 minutes.
Therefore, the amount of time Stephanie spent on each slide is 131.77 minutes.
It took Stephanie about 1 minute to finish each slide of the 13-slide presentation.
EquationEquation is used to show the relationship between two or more numbers and variables.
Le x represent the amount of time spent on each slide.
Given that she spent 13 minutes to finish a 13-slide presentation. Therefore:
13x = 13Divide through by 13:
13x/13 = 13/13x = 1It took Stephanie about 1 minute to finish each slide of the 13-slide presentation.
Find out more on equation at: https://brainly.com/question/13763238
-5x+3y>9 help me plesese
Answer: x < 3/5 y + -9/5
Step-by-step explanation:
is provided below :)
Find the discriminant and state the number and type of solutions.
-3.02 - 6x + 5 = 8
HELP!!!!
The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x, the cost of each cavity filling?
A. 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents
B. 4 (89.95) + x = 628.35; x = 268 dollars and 55 cents
C. 4 x + 89.95 = 628.35; x = 179 dollars and 58 cents
D. 4 (89.95) + x = 628.35; x = 538 dollars and 40 cents
Answer:
A
Step-by-step explanation:
Answer:
The answer is A/or 4x + 89.95 = 628.35; x = $134.60
Step-by-step explanation:
Please help I’m stupid
Answer:
it would be 70
Step-by-step explanation:
you are not stupid
Answer:
the answer is -50
Step-by-step explanation:
Which expression is equal to 6(−3m)4
Answer: -18m x 4 (I think)
Step-by-step explanation:
If this isn’t correct, what you have to do is simplify, hopefully this helps
barney has 14 dimes and quarters worth $2.15. write the system of equations
Answer: 14 dimes and 3 quarters
Step-by-step explanation:
14x10=140+25=165+25=190+25=215 aka $2.15 meaning that there is 14 dimes and 3 quarters
If anybody can solve this i will give you brainliest
8(4y+4)
It is equal to 32y+32 if you wanted to simplify it.
Answer:
32y + 32
Step-by-step explanation:
8 × 4y + 8 × 4
PLEASE HELP! WILL GIVE 25 POINTS AND BRAINILEST FOR CORRECT ANSWER. True or False and why? If a quadrilateral has four sides all of which are congruent, then the quadrilateral is a parallelogram.
Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.
The line perpendicular to y =
6
5
x + 2 that passes through (6, −2).
The equation of the line that passes through (6, −2) is y = .
Evaluate f(x) = - 3x - 4 for x = 1 .
[tex]f(x)=-3x-4[/tex]
Substitute x = 1 in the equation.
[tex]f(1)=-3(1)-4\\f(1)=-3-4\\f(1)=-7[/tex]
Therefore, the answer is f(1) = -7