y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find equation of the line that passes through the point (-8,3) and has a slope of -1/4
m=-1/4
Let us find y intercept
3=-1/4(-8)+b
3=2+b
b=1
Hence, y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4
To learn more on slope of line click:
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The ratio of taxis to buses to bikes
is 12:5:18.
How many buses are there if there
are 72 bikes?
Answer:
20 buses
Step-by-step explanation:
Using the given ratio, we can see that for every 12 taxis, there are 5 buses and 18 bikes.
To get from 18 bikes to 72 bikes, we multiply by 4. Therefore, to figure out the number of buses, we multiply it by 4.
5 * 4 = 20
Hope this helps! :D
Why are there certain question where you multiply to a power and some you don't. Like tree diagrams. This is for probability of compound events.
Compound probabilities that required AND use multiplication
How to determine the reason?The probability of compound events is of two types
The one that require ANDThe one that require ORAs a general rule, the AND probability require products
Take for instance
P(A and B) = P(A) and P(B)
This gives
P(A and B) = P(A) * P(B)
So, compound probabilities that required AND use multiplication
Read more about compound probabilities at:
https://brainly.com/question/1553768
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Here's the question.
Answer:
The value of T₂₀ - T₁₅ is -20.
Step-by-step explanation:
Given :
>> If for an A.P, d = -4To Find :
>> T₂₀ - T₁₅Using Formula :
General term of an A.P.
[tex]\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}[/tex]
>> Tₙ = nᵗʰ term>> a = first term>> n = no. of terms>> d = common differenceSolution :
Firstly finding the A.P of T₂₀ by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + (19)d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + 19d}}}[/tex]
[tex]{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}[/tex]
Hence, the value of T₂₀ is a + 19d.
[tex] \rule{190}1[/tex]
Secondly, finding the A.P of T₁₅ by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + (14) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + 14d}}}[/tex]
[tex]{\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}[/tex]
Hence, the value of T₁₅ is a + 14d
[tex] \rule{190}1[/tex]
Now, finding the difference between T₂₀ - T₁₅ :
[tex]{\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}[/tex]
[tex]{\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}[/tex]
[tex]{\dashrightarrow{\sf{a + 19d - a - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{a - a + 19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{0+ 19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{5 \times - 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ - 20}}}[/tex]
[tex]{\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}[/tex]
Hence, the value of T₂₀ - T₁₅ is -20.
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
solve pls brainliest
Answer:
a) 45 minutes
b) 2 miles
c) 8 miles per hour
d) 7.5 minutes per mile
Step-by-step explanation:
a) (150/20) x 6 = 45 minutes
b) (20/150)(15) = 2 miles
c) (20/150)(60) = 8 miles per hour
d) 150/20 = 7.5 minutes per mile
20 miles in 150 minutes = 20/150 miles per minute = 2/15 miles per minute
distance/speed = time
6 miles / (2/15) miles per minute = 45 -> 45 minutes
time*speed=distance
15 minutes * 2/15 miles per minute = 2 miles
Her speed, 2/15 is in miles per minute. To convert to miles per hour, you multiply by 60 (60 minutes in an hour). 2/15*60=8 miles per hour
minutes per mile = 150 minutes for 20 miles = 150/20=15/2 minutes per mile
15/2=7.5
7.5 minutes per mile
Roger ran eight laps around a ¼ mile track during PE on Monday.How many feet did Roger run in completing eight laps
Answer:
10560 feet
Step-by-step explanation:
you're welcome :)
Find the value of the expression:
x(x-y)-y(y^2-x) for x=4 and y=2
Replacing x by 4 and y by 2, it is found that the value of the expression is of 8.
The expression given is:
[tex]x(x - y) - y(y^2 - x)[/tex]
We want to evaluate it for x=4 and y=2, hence, we replace x by 4 and y by 2, then:
[tex]4(4 - 2) - 2(2^2 - 4) = 4(2) - 2(0) = 8[/tex]
The value of the expression is of 8.
A similar problem, in which the objective is finding the value of an expression, is given at https://brainly.com/question/19548262
hope you get it
{2x−y=4
y−x=4
Step-by-step explanation:
System of Linear Equations entered :
[1] 2x-y=4 [2] y-x=4
Equations Simplified or Rearranged :
[1] 2x - y = 4 [2] -x + y = 4
Graphic Representation of the Equations :
y + 2x = 4 y - x = 4
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = x + 4
// Plug this in for variable y in equation [1]
[1] 2x - (x +4) = 4 [1] x = 8
// Solve equation [1] for the variable x
[1] x = 8
// By now we know this much :
x = 8 y = x+4
// Use the x value to solve for y
y = (8)+4 = 12
Solution :
{x,y} = {8,12}
What is the intersection of plane AEH and plane EGH?
Answer:
E
Step-by-step explanation:
Hope this helped
Please help!!! No LINKS
Solve the system of equations below by graphing both equations with a paper and pencil!!! What is the solution?!??! Use the photo below to answer the question!!
Answer:
B is the answer
Step-by-step explanation:
What’s 10^102????????€
Answer:
(2^102•5^102)
Step-by-step explanation:
(10)^102 = (2•5)^102 = 2^102 • 5^102
what is the answer to -g + 2 (3 + g ) = -4 (g+ 1 )
Answer:
0
Step-by-step explanation:
........
Answer:
g=-10
Step-by-step explanation:
-g+2(3+g) = -4
-g+6+2g=-4
g=-4-6
g=-10
is y=3x^2+2 a linear function
Answer: No!
Step-by-step explanation: This is a parabola. The graph for this function is not straight. We can also tell this is not a linear function because the degree of the function is 2.
Hope this helps :)
No.
y = 3x² + 2 has a degree of 2. So, it'll not make a graph which is a straight line. It's NOT a linear function. Linear functions have a degree of 1 or 0.
This is a quadratic polynomial (degree = 2) & when drawn on a graph, it'll make a parabola.
_____
Hope it helps ⚜
A group of 493 people is going on a boat tour. If each boat holds 7 people, how many people will be on the last boat?
Answer:
3 people.
Step-by-step explanation:
493÷7=70 with 3 remaining.
1 mi = 1.6 km
How many miles are in 39.2 kilometers?
Answer:
24.35775
Step-by-step explanation:
Ty for points xd
Answer:
24.35 miles
Step-by-step explanation:
just divide 39.2 by 1.6
can anyone answer this question please
6[y-2]/7-12=2[y-7]/3
Answer:
y =47.5.
Step-by-step explanation:
First eliminate the fractions by multiplying through by the LCM of 7 and 3 which is 21:
21* 6[y-2]/7-21*12 = 21*2[y-7]/3
18(y - 2) - 252 = 14(y - 7)
18y -36 - 252 = 14y - 98
18y - 14y = -98 + 36 + 252
4y = 190
y = 190/4
y = 47.5.
Ten movie tickets cost $80. How much does a single movie ticket cost?
Answer:
$10
Step-by-step explanation:
Please give me some help
Answer:
do it got a picture
Step-by-step explanation:
Identify the equation of the line graphed below. Prove by converting!
A. 2x + y = 4
B. 2x - y = 4
C. x + 2y = 8
D. x - 2y = 8
If EF = 2x + 5 and FG = x + 9, what is EF?
Answer:
2- × 5
Step-by-step explanation:
10 + (-3 3/8)
Please explain of how i can do this
Answer:
53/8 or 6.625
Step-by-step explanation:
10 + (-3 3/8)
Convert everything to a fraction having the same denominator.
-3 3/8
-24/3 - 3/8
-27/8
10
80/8
Combine: (80/8 - 27/8) = 53/8 or 6.625
PLS HELP round to the nearest hundredth
Find the value of x to the nearest tenth. Show all
the work
Answer:
x is 15.0
Step-by-step explanation:
We can use pythagorus theorum to find the missing side of the triangle.
a² = b² + c²
a² is the longest side of the triangle, so a= 8.
b² (or you can even take c²) is one of the two sides, so b= 3
We have to find c². So make c² the subject of the equation.
c² = a² - b²
c² = 8² - 3²
c² = 64 - 8
c² = 56
∴ c = [tex]\sqrt{56}[/tex] = 7.48 (in 2 decimal place / 3 significant figures)
Now we can assume that c is half of x.
So x = 7.48 + 7.48 = 14.96
∴ x = 15.0 (to the nearest tenth).
v = 128 – 32t
v is the velocity in ft/sec. It is NOT the height of
the ball.
t is the number of seconds after the ball is
thrown.
With what initial velocity is the ball thrown?
128 seconds
s
What is the y-intercept of the equation?
IS
[ Select]
What does the y-intercept mean?
t
[ Select ]
What is the x-intercept of the equation?
[ Select]
What does the x-intercept mean?
Select]
7
10
-
-
с
80°F
Answer: The Y intercept is 128 as well, which is the original velocity. Technically it should be v - intercept but whatever. The y / v intercept is the original velocity. The X intercept should be the t intercept but again whatever. The x/t intercept is 4, meaning that the velocity is zero when t is 4
Step-by-step explanation: y/v intercept is when t = 0. v = 128 - 32(0) = 128
It is the initial velocity at t = 0. The X/t intercept is when v = 0. 0 = 128 - 32t, so 32t = 128, so t = 4. The x intercept means when the velocity is zero, which means that the ball is at its highest/farthest point.
(2x2 3+2)x(4x2 3-1/2)
Answer:
85.5
Step-by-step explanation:
Answer:
(2*2 3+2) * (4*2 3-1/2)
(4*5) * (8*3-0.5) = (8*2.5)
20*200
4000
will give brainliest plz help
The information is on the image
List the ordered pairs
Here are the choices
The graph shows that f(x)={is translated
horizontally and vertically to get the function
Answer: 3
Step-by-step explanation:
Find the median number for 10,5,7,9,18,15,17,14,16,17,15,19,5
Answer:
15
Step-by-step explanation:
The median is the "middle" number between a range of numbers. In this question, 15 is the median because is the number that is between the minimum number (5) and the maximum number (19) Hope this helps :)
1. Ram has 50 apples. He distributed them
to his four siblings in the ratio 5:2:2:2. Find
how many apples will each get?
I
121/2
Step-by-step explanation:
50/4
it goes 12because of 48.
and then it will remain 2