The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?
Answer:
[tex]y = \frac{1}{2}x + 6[/tex]
Step-by-step explanation:
[tex]Let \ (x _1 y _ 1 ) = ( 6 , 9 ) \ and \ (x _ 2 , y _ 2 ) \ = ( 0 , 6 )\\\\[/tex]
Step 1 : Find slope, m
[tex]slope, m = \frac{y _ 2 - y _ 1}{x_ 2 - x_ 1 } = \frac{6 - 9}{0 - 6 } = \frac{-3}{-6} = \frac{1}{2}[/tex]
Step 2 : Find the equation
[tex](y - y _ 1 ) = m ( x - x_ 1) \\\\( y - 9 ) = \frac{1}{2} (x - 6 ) \\\\y = \frac{1}{2}x - 3 + 9 \\\\y = \frac{1}{2}x + 6[/tex]
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = mx + b is the formula. m is the slope and to calculate that you use the slope formula y2 - y1/ x2 - x1.
(6, 9) is the first coordinate so 6 is x1 and 9 is y1. Similarly in (0, 6), x2 is 0 and y2 is 6. Now if we put that into the slope formula it would look something like this: 6-9/0-6. that comes to -3/-6. simplify and cancel out the negatives and you get 1/2 which is the m ( slope).
The b is the y-intercept, which is the y value for where the x is 0. In this question, they already give you the coordinate where x is 0. (0, 6). x is 0 and y is 6. therefore the b (y-intercept) is 6.
Put all of this into y =mx +b, and you get y= 1/2x + 6.
If you want to make sure you did it right, just plug in one of the coordinates into this equation. Let's use (6, 9).
9 = 1/2 (6) + 6
9 = 3 + 6
9 = 9. It works out, therefore the equation right.
Hope this helps
can someone help me match these too?
ANSWER:
A is number 3
B is number 2
Step-by-step explanation:
The left side is A and B (order)
the right side is 1,2,3,4 (order)
explanation: A is number 3 because as said in A the tram already has 5 people which is what we start with a1 = 5 and we add 11 at each stop as shown in the equation.
B is number 2 for the same reason as it started with 2 but added 4 inches of rain each time.
Worth 12 points and actually help me with the question plz
Answer:
(x + 1, y - 3)
Step-by-step explanation:
The translation is 1 unit right and 3 units down.
Answer:
x+1 y-3
Step-by-step explanation:
Because with any of the points it goes to the right 1 and down 3
Which linear inequality is represented by the graph?
A.y<2/3x+3
B.y>3/2x+3
C. y>2/3 x + 3
D.y<3/2x + 3
Train A leaves Paris and travels at a constant speed of 75 mph toward Pisa. At the
same time. Train B leaves Pisa headed toward Paris at a constant speed of 50
mph. Let x represent time traveled in hours and let y represent miles from Paris. If
Paris and Pisa are 500 miles apart, when will the two trains pass each other?
Answer: [tex]4.016\ hr[/tex]
Step-by-step explanation:
Given
Train A has speed of [tex]v_a=75\ mph[/tex]
Train B has speed of [tex]v_b=50\ mph[/tex]
If Paris and Pisa is 500 miles apart
If they meet x hours after the start
The sum of the distances traveled by Train A and B is 500 miles
[tex]\Rightarrow 75\times x+50\times x=500\\\Rightarrow 125x=500\\\Rightarrow x=4.016\ hr[/tex]
So, after [tex]4.016\ hr[/tex] they will pass each other.
14. Evaluate the expression.
4!
24
28
20
Answer:
24.
Step-by-step explanation:
By definition, factorial 4
= 4!
= 4*3*2*1
= 24.
how to solve numbers 4-5
Answer:
x^2+7x+6
Step-by-step explanation:
In the year 2006, a person bought a new car for $18000. For each consecutive year after that, the value of the car depreciated by 15%. How much would the car be worth in the year 2009, to the nearest hundred dollars?
Please i need answer now
Answer:
Step-by-step explanation:
Use the exponential function
[tex]v(t)=a(b)^t[/tex] where a is the initial value of the car, b is the rate of decay, and t is the time in years. For us, a = 18000, b = (1 - .15), so the model for this car is:
[tex]v(t)=18000(.85)^t[/tex] We can use this model now to find the value, v(t), of the car after 3 years has gone by (from 2006 to 2009 is 3 years):
[tex]v(t)=18000(.85)^3[/tex] and simplifying a bit:
v(t) = 18000(.614125) so
v(t) = 11054.25
Round however you need to.
Where are the corresponding angles in the diagram below?
ANSWERS:
Answer #1: 1 and 5
Answer #2: 1 and 3
Answer #3: 2 and 4
Answer #4: 2 and 7
Answer:
the answer is #1
Step-by-step explanation:
[NO LINKS]
This is Jovan’s solution for the equation x^2-8x-9=0:
x2 – 8x – 9 = 0
x2 – 8x = 9
x2 – 8x + 16 = 9 + 16
(x – 4)2 = 25
x – 4 = 25 and x – 4 = - 25
x = 29 and x = -21
Is Jovan’s solution correct?
Answer:
No, it's wrong
[tex] {x}^{2} - 8x - 9 = 0 \\ (x - 9)(x + 1) = 0 \\ x = 9 \: and \: - 1[/tex]
Answer:
NoStep-by-step explanation:
x² – 8x – 9 = 0 x² – 8x = 9 x² – 8x + 16 = 9 + 16 (x – 4)² = 25 x – 4 = 25 and x – 4 = - 25 ⇒ Incorrect, should be x - 4 = 5 and x - 4 = -5 x = 29 and x = -21 ⇒ Incorrect, should be x = 9 and x = -1 A debt payment of $5,500 is due in 27 months. If money is
worth 8.4% p.a. compounded quarterly, what is the equivalent
payment? Now? 15 months? 27 months? 36 months?
Step-by-step explanation:
A=P(1+0.084) ^n;
=5500(1
The payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.
Interest rate = 8.4/4 =2.1% = 0.021 every 3 months
The debt of $5500 is due in 27 months.
What is the formula to find compound interest?The formula to find the compound interest is [tex]FV=PV(1+r)^{n}[/tex].
Now, [tex]PV=FV(1+r)^{-n}[/tex].
The payment now:
5500*(1.021)^-9 = $4561.7450
So if $5500 is due in 27 months its current value is $4561.7450.
( b) 15 months from now? 5 quarters
FV(15months)= 4561.75*1.021^5
4561.75*1.021^5 = $5061.28
(c) 27 months from now? 9 quarters
FV(15 months)= $5500 that was given in the question
Verification:
FV(27months)=4561.75*1.021^9
4561.75*1.021^9 = $5500.00595
(d) 36 months from now? 12 quarters
FV(36months)=4561.75*1.021^12
4561.75*1.021^12 = $5853.83
Therefore, the payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.
To learn more about compound interest visit:
https://brainly.com/question/14295570.
#SPJ2
Name the kind or kinds of symmetry the following figure has: point, line, plane, or none. (o)
What is parallel to y=-5+4.2x
the angle of elevation of the top of an elevator pole to a man standing 10m from it is 60°. find the height of the pole
Answer:
10√3m
Step-by-step explanation:
Given :-
Angle of elevation = 60° Distance between man and pole = 60°We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,
=> tan 60° = p/b
=> √3 = h / 10 m
=> h = 10 m× √3
=> h = 10√3 m
Will rank the correct answer brainliest!
Answer:
Step-by-step explanation:
diameter=2*radius
=2*9
=18 in
given central angle=72 degree
arc length=central angle /360° *πd
=72/360 *3.14*18
=1/5 *56.52
=56.52/5
=11.304
Answer:
arc length=2πr×0.2
=2×3.14×9×0.2
=11.304 inch²
simplify an expression
(x^2y^4z)^5/(xy)^2
A) y10z5
B) x6y7z5
C) x7y9z5
D) x8y18z5
Answer:
d
Step-by-step explanation:
D) Sum of the two adjacent angles is 140°. If the second angle is 7 less than six times the first angle, find the two angles. (2 Marks)
Answer:
FIRST ANGLE = 21 degree
SECOND ANGLE = 119 degree
Step-by-step explanation:
140 = 6x - 7 + x
140 = 7x - 7
combine like terms
140 + 7 = 7x
147 = 7x
x = 21
second angle = 6(21) - 7 = 119
- Javid bought 3 pairs of Nike Jordan True Flight sneakers
for $127.59 each. He sold 2 pairs of the shoes at a 28%
markup and the third pair for a 52% increase. What did
he sell each pair of shoes for?
- Harris wanted to purchase a pair of Reebok Liquid Speed sneakers for
$190. The price of the sneakers decreased 10% in value each of the next 2 weeks. Harris said that the shoes were 20% less than their original value after 2
weeks. Is Harris correct?
Please help me with these two. I will mark you as brainly
please help confused tyy
Suppose the 100 people in society X all know the same 10 facts, while the 10 people in society Z specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, which society has a higher standard of living
Answer:
29 times
Step-by-step explanation:
Given :
Society X ;
Population = 100
Number of facts known = 10
Average fact known per person = known fact / population = 10 / 100 = 0.1
Society X:
Population = 19
Common fact known by 9 = 5
Specialized fact, known by 10 = 5 * 10 = 50
Total facts = common + specialized = 55
Average fact known per person = 55 / 19 = 2.8947368 fact per person
Number of times society Z is better :
2.8947368 / 0.1 = 28.947 times
Approximately 29 times
Libby wants to buy 290 raspberry yogurts. They are sold in packs of 4. How many packs does she need to buy?
Answer:
73 packs
Step-by-step explanation:
Find how many packs she has to buy by dividing 290 by 4, since each pack has 4 yogurts.
290/4
= 72.5
Since we need a whole number answer, round this up:
72.5
= 73
So, Libby will need to buy 73 packs
How was y'all day. I hope it is good
Answer:
My day has been going great! And I hope your day is going great too! :)
Step-by-step explanation: You are a perfect human :>
Help, please. I really need help one this
Answer:
2#) 20f+15-2f
18f+15
2#) choose 1
3#)60-3h-9
51-3h —> 3(17-h)
3#)choose 1
4#) 4(5x+3y)
20x+12y
4#)choose 4
5#) r+3r+ _=6r
6r-4r= 2r
5#)choose 4
Only point (1 ) I didn't know I'm sorry
Solve for x.
•none of these
•21.8
•68.2
•66.42
Please helppp
Answer:
21.8
Step-by-step explanation:
5m is adjacent and 3m is opposite so you use the formula
tan theta=opposite/adjacent
help please and thank you
Answer:
40° D. is your answer to this question
14cm and 31cm and 34cm equal
Answer:
if its addition then it will be 79cm
Please i need this turned in by 2:00 om so dont answer if you dont know<3
Consider the equation 1.5x+4.5y=18.
1. If we graph the equation, what is the slope of the graph?
2. Where does the graph intersect the y-axis?
3. Where does it intersect the x-axis?
Answer:
sorry i wasnt gonna type it out. im on phone
help me pls pls pls pls pls pls
Nick has an album that holds 800 coins each page of the album holds eight coins is 82% of the album is empty how many pages are filled with coins
Answer:
18 Pages are filled with photos because you do 800÷8 and you get 100 coins then since it says 82% of the album is empty since the album has 100 coins it makes it easy and you subtract 82 from 100 therefore you get 18 coins that are filled
Step-by-step explanation:
Because you do 800÷8 and you get 100 coins then since it says 82% of the album is empty since the album has 100 coins it makes it easy and you subtract 82 from 100 therefore you get 18 coins that are filled
Find the mid point of the line segment AB where A= (-5,5) and B= (-7,4)*
Check out the screenshot.
