Answers
Answer:
y = ([tex]-\frac{1}{2}[/tex])x + 4
Step-by-step explanation:
(x1,y1) = (0,4) ; (x2,y2) = (8,0)
The equation will look like y=mx+b
Slope m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = [tex]-\frac{1}{2}[/tex]
Next, substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to the equation y=mx+b to find b.
y=mx+b
0 = ([tex]-\frac{1}{2}[/tex])8 + b
0 = -4 +b
0+4 = -4 +4 +b
b=4
Then substitute b and m to the equation y=mx+b
y = mx + b
y = ([tex]-\frac{1}{2}[/tex])x + 4
Related Questions
To go to school in the morning. I first walk to the garden shed at 6 km/h to collect my bicycle. I then cycle to school at 15 km/h. The total journey normally takes 18.5 minutes, One day, I am lote and I run to the shed at 18 km/h and cycle at 27 km/h. The journey takes me 10 min 10 s. How far is it from my house to the garden shed?
Answers
Answer:
1
Step-by-step explanation:
Answer:
Trip A from House to Shed is 0.062 km
Trip B from Shed to School is 4.47 km
Step-by-step explanation:
Set up a table (attached) that summarizes and organizes the data. Let A be the distance from the hosue (I assume) to the shed, and B the distance from the shed to the school. We know that distance = (speed)*(time).
The total time for a trip is the sum of the two segments, A and B, divided by the speed for each segment.
TRIPS
1 2
House/Shed A 6 18 km/hr
Shed/School B 15 27 km/hr
18'30" 10'10" min
18.5 10.16 min
0.308 0.169 hr [Convert the minutes into hours]
[The distance divided by the speed will give the time required for each segment, A and B].
Trip 1: 1) A/6 + B/15 = 0.308
Trip 2: 2) A/18 + B/27 = 0.169
Trip 1: A/6 + B/15 = 0.308
A + (6/15)B = 1.85 [Multiply each side by 6]
A = 1.85 - (6/15)B [Rearrange]
A = 1.85 - (0.4)B [This will be the defination of A we'll use in the second equation]
Trip2: A/18 + B/27 = 0.169
(1.85 - (0.4)B)/18 + B/27 = 0.169 [Use A= 1.85 - (0.4)B from above]
27(1.85 - 0.4B)/18 + B = 27*(0.169) [Multiply each side by 27]
1.5*(1.85-0.4B) + B = 4.58
2.78 - 0.6B + B = 4.58
0.4B = 1.85
B = 4.47 km
Now use B = 4.47 km in either original equation to find A.
A/18 + B/27 = 0.169
A + (18/27)B = 18*(0.169) {Multiply both sides by 18]
A + (0.67)B = 3.042
A + (0.67)(4.47) = 3.042
A + (2.98) = 3.042
A = 0.062 km
Trip A from House to Shed is 0.062 km
Trip B from Shed to School is 4.47 km
prove that: (sinθ/1+cosθ) + (1+cosθ/sinθ) = 2cosecθ
[tex] \: prove \: that: \frac{ sinθ}{1+cosθ}+ \frac{1+cosθ}{sinθ} = 2 \: cosec \: θ [/tex]
Answers
Consider LHS
(sinθ/1+cosθ) + (1+cosθ/sinθ) =
= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]
= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]
= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]
[°.° (a+b)² = a²+2ab+b²]
Here, a = 1, b = cosθ
= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]
= [1+1+2cosθ]/[(1+cosθ)sinθ]
[°.° sin²θ+cos²θ = 1]
= [2+2cosθ]/[1+cosθ)sinθ]
= [2(1+cosθ)]/[(1+cosθ)sinθ]
= 2/(sinθ)
[°.° 2/sinθ = cosecθ]
= 2cosecθ = RHS.
Hence, Proved.
Read more:
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If cosθ =1/3 , then sinθ = _____.
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Verify the identity. cotθ * sinθ * secθ = 1 Which of the following four statements establishes the identitiy? A. cotθ *sinθ *secθ = sinθ/cosθ * sinθ * 1/cosθ = ...
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BrainlyCPT~
Brainly Team
After solving the next three terms in
5120, 1280, 320, 80, …
How could you find the explicit rule?
Answers
a (n)=a1 × r^(n-1)
a1=5120
a2=1280
a3=320
a4=80
-->a2/a1=1280/5120=0.25
-->a3/a2=320/1280=0.25
-->a4/a3=80/320=0.25
ration(r) =0.25
■■■a(n)=a1 × r^(n-1)■■■
a (5)=5120×0.25^(5-1)
a (5)=5120 × 0.25 ^(4)
a (5) = 5120 × 0.00390625
a (5) = 20
Find an equation of the circle that has center (-6,2) and passes through (1,-2).
Answers
Answer:
(x+6)^2+(y-2)^2=65
Step-by-step explanation:
Answer:
Should be (x+6)^2+(y-2)^2=65
the number after the carrot represents an exponent
hope it helps
Find the area of the sector
Answers
if r = 15
A≈706.86
Steps:
A = πr²=π·15²≈706.85835 ( round to the nearest tenth )
= 706.86
Circle Formula:
Diameter of a Circle D = 2 × r
Circumference of a Circle C = 2 × π × r
Area of a Circle A = π × r2
Mary earns a weekly base salary of $180. She also receives $25 per item sold. This week
she receives a salary of $530. How many items did she sell?
Answers
Answer:
She sold 14 items
Step-by-step explanation:
530 - 180 = 350
350 / 25 = 14
sir? sir? are u there? help me -_-
Answers
Answer:
a) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9C7 to get 36.
However, you can also use this formula: [tex]nCr=\frac{n!}{r!(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.
Plug in values:
[tex]\frac{9!}{7!(9-7)!} =\frac{9!}{7!*2!}=\frac{9*8}{2!}=36[/tex]
b) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9P7 to get 181440.
However, you can also use this formula: [tex]nPr=\frac{n!}{(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.
Plug in values:
[tex]\frac{9!}{(9-7)!} =\frac{9!}{2!}=9*8*7*6*5*4*3=181440[/tex]
A population of values has a normal distribution with μ=5.5 and σ=94.4. You intend to draw a random sample of size n=101.
Find P10, which is the score separating the bottom 10% scores from the top 90% scores. P10 (for single values)
Find P10, which is the mean separating the bottom 10% means from the top 90% means.
P10 (for sample means)
Answers
Answer:
P10 = P₁₀ = -115.5
Step-by-step explanation:
Shown in the picture
Find an equation in standard form of the parabola passing through the points.
(2, −8), (3, −8), (6, 4)
Answers
Next time try to add more points bc i worked so hard to answer this
How do you solve the following equation: n+2*0.5n+1
Answers
Answer:
[tex]n=-\frac{1}{2}[/tex]
Step-by-step explanation:
The order of operators is the next:
ParenthesisExponentsMultiplication and divisionAddition SubtractionSo the first step is multiply and later add up the rest terms ([tex]0.5 = \frac{1}{2}[/tex]).
[tex]n+\frac{2}{2}n + 1 = 0\\n + n + 1 = 0\\2n = -1\\n = -\frac{1}{2}[/tex]
multiply first, add n terms
(2n + 1 = 0)
2n = -1
n = -1/2
ABCD is a quadrilateral. Select all the criteria that are sufficient to prove that ABCD is a parallelogram.
Line segment AB is congruent to line segment DC and Line segment is congruent to line segment BC.
Line segment AB is parallel to line segment DC
X is the midpoint of line segment AC and line segment BD
Answers
A parallelogram is a shape which has opposite sides to be equal and parallel. Therefore, the required properties that are sufficient for the prove are:
A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.
B. Line segment AB is parallel to line segment DC.
Quadrilaterals are four sided shapes. Examples are square, rectangle, parallelogram, trapezium etc. These have different or distinguishing properties.
A parallelogram is a figure that has its opposite sides to be equal in length and which are also parallel. This properties can be used to answer the given question.
Thus, the appropriate criteria that are sufficient to prove that ABCD is a parallelogram are:
A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.
B. Line segment AB is parallel to line segment DC.
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What percent of 80 is 112? Please hurry!
Answers
Answer:
140
Step-by-step explanation:
Here you go. Hope it helps you
4/5% of 15 - show work.
I got 12 but my teacher said it was wrong? what's the right answer then?
Answers
Answer:
it is 12 but you probably didnt show our work
Step-by-step explanation:
Here is an example you can use:I multiplied 15 by .80 because I know that 4/5 is 80 of 100.
Answer:
0.12
Step-by-step explanation:
This is probably where you got confused
4/5% = 0.8%
-------------------------
15 / 10 = 1.5
1.5 / 10 = 0.15
0.15 / 10 = 0.015
or
15 / 1000 = 0.015
-------------------------
0.015 x 5 = 0.075
0.015 x 3 = 0.045
0.075 + 0.045 = 0.12
More Detailed Version
4/5 of 1% = 0.8%
0.8% is in the thousandths digit
15 / 1000 = 0.015
0.015 x 5 = 0.075
0.015 x 3 = 0.045
0.075 + 0.045 = 0.12
Brainly?
Anybody know the answer and how did you get it
Answers
Answer:
so I'm guessing you're solving for x
because angle 2 is the vertical angle to angle 3 so this means that they are congruent
4x-26=3x+4
4x-3x=4+26
x=30
40 PTSS GUYS PLEASE DO THIS PROBLEM ILL GIVE BRAINLIST TOO!
Answers
Answer:
where are the problem?
Step-by-step explanation:
sorry no problem
A rope is stretched tight between the tops
of two flag poles. One pole is 16 m tall, the
other is 8 m tall and they stand on level
ground 6 m apart. Find the rope's length.
m
Answers
Answer:
10 m.
Step-by-step explanation:
We have a triangle with hypotenuse h m (the rope's length) and one leg 16 - 8 = 8 m and the other 6 m.
So h^2 = 8*2 + 6^2 = 100
h = 10 m.
If Val walls 1/2 mile for every 3/4 mile she runs if she walked 2 miles how many miles did she run
Answers
Explanation:
1/2 miles walked) • X = (2 Miles walked)
X= 4
4 • 3/4 miles ran = 12/4 miles ran = 3 miles ran.
Cuanto es 1/3 + 5/8 + 1/2
Answers
Answer:
35/24
Step-by-step explanation:
1/3 + 5/8 + 1/2
8/24 + 15/24 + 12/24
Hola!
Primero, debes asegurarte de que todas las funciones compartan el mismo denominador.
4(1/2)= 4/8
1/3 + 5/8 + 4/8
1/3 + 9/8
Ahora necesitamos encontrar un denominador común de 3 y 8.
El mínimo común múltiplo de 3 y 8 es 24.
8(1/3)= 8/24
3(9/8)= 27/24
8/24 + 27/24= 35/24
Entonces tu respuesta es 35/24!!
Lo siento si mi español no es bueno.
Find the slope of the line through each pair of points.
(-10,8), (5,-5)
Answers
Answer:
-0.86667
Step-by-step explanation:
m = -13 / 15 = -0.86667
what are some different ways to write c=2.95g
Answers
A triangle has two sides of length 15 and 1. What is the largest possible whole-number length for the third side?
Answers
Answer:
15
Step-by-step explanation:
The conditions for triangle side lengths are:
A + B > C
A + C > B
B + C > A
The reverse is true too, of course:
A < B + C
B < A + C
C < A + B
Note that it's just 'greater than', not 'greater than or equal to' ( ≥ )
With those in mind, if 15 and 1 are A and B:
15 + 1 > C
15 + C > 1
1 + C > 15
And those can be simplified to these:
C < 16
C > -14 ( can be ignored because of the next one)
C > 14
And finally:
14 < C < 16
The largest whole number that fits those requirements is 15.
Pls helppp it’s due soon!
Will give brainliest if your answer is right
Answers
Answer:
19.4
Step-by-step explanation:
This problem can be simplified to finding the diagonal of a rectangle of sides 19 and 4. Using the Pythagorean theorem gives FH = √(19^2 + 4^2) = 19.4
-7(11) is -77 or 81
Answers
Hi there!
-7(11) is equivilent to -7*11 which equals -77.
This so because 7x11=77, bug the negative would make it -77
Ivanna and her husband are each starting a saving plan. Ivanna will initially set aside $50 and then add $50.85 every week to the savings. The amount A (in dollars) saved this way is given by the function A=50 +50.85N, where N is the number of weeks she has been saving. Her husband will not set an initial amount aside but will add $65.95 to the savings every week. The amount B (In dollars) saved using this plan is given by the function B=65.95N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.
Answers
Answer:
N=0.019666a-0.983284 or
A = 50.85n + 50
Step-by-step explanation:
Let's solve for n.
a = 50 + 50.85n
Step 1: Flip the equation.
50.85n + 50 = a
Step 2: Add -50 to both sides.
50.85n+50+-50=a+-50
50.85n n = a - 50
Step 3: Divide both sides by 50.85.
50.85n
50.85
=
a-50
50.85
n=0.019666a-0.983284
Let's solve for a.
a = 50 + 50.85n
PLEASE HELp !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
c
Step-by-step explanation:
you have to divide.....hope this helps!
Triangle BDC is an isosceles triangle. Triangle ACE is a right-angled triangle.
Show that triangle ABC is an equilateral triangle.
Answers
x^2-4x+11
In the form a(x+h)^2+k
Answers
Answer: im very sorry
Step-by-step explanation:
Can you do it?I can’t understand
Answers
Answer:
489,162
Step-by-step explanation:
Hope it can help you lovelots
What is 5,000 x 1,000
Answers
Five million
Answer:
The Answer is 5,000,000
Hope this helps!!
The length of the bottom of the triangle is x. Another side is 2 more than three times the length of the bottom of the triangle the last side is 5 more than the bottom of the triangle write and simplify and expression for the perimeter of the triangle
Answers
Answer:
5×x×2× base× high u see me