Answer:
[tex]y=\frac{2}{5}x+2[/tex]
Step-by-step explanation:
(x1, y1) = (5, 4)
(x2, y2) = (0, 2)
First, find the slope. The slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
I marked the 2 points above in that form, so you can plug those in here:
[tex]m=\frac{2-4}{0-5}\\\\m=\frac{-2}{-5}\\\\m=\frac{2}{5}[/tex]
The slope of this line is 2/5. Next, you can use that slope and whichever known point you want to find the y-intercept. Slope-intercept form is:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Plug in the slope we found for m and whichever point you want for (x, y):
[tex]2=\frac{2}{5}0+b[/tex]
Now, solve for b:
[tex]2=0+b\\b=2[/tex]
In this particular case, there wasn't much to be done. We already had a point at x = 0, and that is already our y-intercept. For similar problems though, that's how you would do it.
Finally, with both the slope and the y-intercept, you can write the equation:
[tex]y=\frac{2}{5}x+2[/tex]
The perimeter of the figure is given. Find the length of the indicated side. 4x -4 is one side what's the unknown slide the figure is a rectangle Perimeter = 12x + 4 The length of the indicated side is
Answer:
2x+6
Step-by-step explanation:
Perimeter of a rectangle= 2(length + width)
12x+ 4= 2(length + 4x-4)
2(6x+2)= 2(length + 4x-4)
divide both sides by 2
6x+2= length+4x-4
length = 2x +6
how many 7 digit numbers are there where all the digits are different and are in increasing order
Answer:
36
Step-by-step explanation:
Usually, when we talk about an n-digit number, we mean one that has no leading zeros. If we use all 9 non-zero digits, the single number having increasing digits is ...
123456789
We cannot swap any digits and have the digits remain in increasing order. The only thing we can do to create different numbers is remove different pairs of digits.
There are 9C2 = 9·8/(2·1) = 36 different ways to choose 2 digits from 9. Thus, there are 36 possible 7-digit numbers with the digits in increasing order.
__
Additional comment
The first few are 1234567, 1234568, 1234569, 1234578, 1234579, 1234589, ...
Please help with this!!
Answer:
#1.---60% #2.---$12.60 per hour
Step-by-step explanation:
#1. Since It was originally $50 you have 50% already, so what I did was I multiplied 50 by 2. this got me 100 which is a simpler way to calculate by. 50 to 80 dollars is a $30 change, so multiply that by 2 and you get 60. 60 will be your percent of change. You can double check this by multiplying 50 by .60, the answer will be 30 and 50+30=80
#2 Since Tyler starts off with $12 per hour with a 5% increase you will need to multiply 12*.05 this will get you the answer of 0.6 you then need to add $12, since that was his original payment. 12+0.6=12.60, so his final payment would by $12.60 per hour
a force of magnitude 10n is applied in the directions 3i-4j to displacement point of action from A to B of position vectors 2i+j,5i-2j respectively. Find the work done.
An object at point A moving to point B is displaced in the direction of
r = (5i - 2j) m - (2i + j) m = (3i - 3j) m
(I assume distance is measured in meters)
If the force is F = (10 N) (3i - 4j), then the work performed by F in the direction of r is
F • r = (10 N) (3i - 4j) • (3i - 3j) m = (10 N) (9 + 12) m = 210 J
does anyone know the account brookebyewater?
Yes it's an account of a person on brainly- they're rank is "expert".
Hope this helped you-have a good day bro cya)
1+12-9+23409-1238 -12313+122321
Find the distance between the origin and (-12,-9)
Answer:
Distance (d) = 15
Step-by-step explanation:
The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]
Let (x₁, y₁) = (0, 0)
(x₂, y₂) = (-12, 9)
Substitute these values into the distance formula.
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}[/tex]
Perform the required subtraction within each parenthesis:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}[/tex]
Next, take the squared values of -12 and 9 under the radical:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}[/tex]
Add 144 and 81:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}[/tex]
Distance (d) = 15
Answer:Therefore, the distance between the point of origin and (-12, 9) is 15.
Pls help I’m trying to solve for x
Answer: x = 28
Please give Brainliest if this helped you
Step-by-step explanation:
please help me asap!!!
ty :)
Answer:
the desired line is y = 3x - 4
Step-by-step explanation:
The slope formula is not needed here. If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.
Find the y-intercept as follows:
y = mx + b => 5 = 3(3) + b, or b = -4
Then the desired line is y = 3x - 4
Help I give brainly
The acute angles of a right triangle measure (48 - x) and (3x – 10). What is the value of x?
Answer:
[tex]\huge\boxed{\sf x = 26}[/tex]
Step-by-step explanation:
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
So, we get:
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
Step-by-step explanation:
x=26
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
So, we get:
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
Hope this helped!
in math what does it mean for something to be “squared”
someone pls explain
Answer:
its an exponent of 2
Step-by-step explanation:
2
3. = 3 ×2 or 3+3
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!
heres a list of numbers 8,7,12,7,11,10,7,12Find median,mean,range and mode
Answer:
There it gose
Step-by-step explanation:
A 20-foot piece of metal is cut INTO pieces that each measure 1 1/4 feet. How many pieces are there after the cut?
A. 16
B. 25
C. 18.75
D. 5
Answer:
I believe the answer is 16 Don't get mad if incorrect just trying my best
Answer:
A. 16
Step-by-step explanation:
If a 20 ft piece of metal is cut in 1 1/4 feet pieces you would divide the total length (20) by each of the pieces length (1 1/4) to find the answer. 20 ÷ 1 1/4 = 16.
What is the missing number in the table? x 1 2 3 4 5 y 6 36 216 ??? 7,776 252 396 864 1,296.
The missing number in the table is 1296
The y-values of the table form a geometric sequence as shown:
6, 36, 216,......
The nth term of a geometric progression is expressed using the formula;
[tex]T_n=ar^{n-1}[/tex]
a is the first term = 6r is the common ratio = 36/6 = 216/36 = 6n is the number of terms = 4 (since we need the 4th term)Substitute the given parameters into the formula:
[tex]T_5=6(6)^{4-1}\\T_5=6(6)^3\\T_5=1296[/tex]
Hence the missing number in the table is 1296
Learn more on geometric sequence here; https://brainly.com/question/1509142
Answer:
1296
Step-by-step explanation:
solve for x and explain the steps:
3x-6=4(2-3x)-8x
Answer: x = 14/23
Step-by-step explanation:
3x-6=4(2-3x)-8x
3x-6=8-12x-8x --> Expand 4(2-3x)
3x-6=8-20x --> Collect like terms
3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side
3x=-20x+14
3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side
23x=14
[tex]\frac{23x}{23}=\frac{14}{23}[/tex] --> Divide both sides by 23
x = 14/23
please help me asap
ty :)
Answer:
y = 5x+7
Step-by-step explanation:
Parallel lines have the same slope so y = 5x+9 is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 5
The new line will have a slope of 5
y = 5x+b
We know a point on the line (-2,-3)
Substitute this point into the equation
-3 = 5(-2)+b
-3 = -10+b
-3+10 = b
7 = b
y = 5x+7
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
The line parallel to y = 5x + 9 is given in the form of y = mx + c. Here,
m = slope c = y-intercept (x = 0)The new line will have a y-intercept and a slope of line which is given by y = 5x + b. The point on line is (-2, -3).
Placing this point in the upper equation,
[tex]:\implies\rm{ - 3 = 5( - 2) + b}[/tex]
[tex]:\implies\rm{ - 3 = - 10 + b}[/tex]
[tex]:\implies\rm{ - 3 + 10 = b}[/tex]
[tex]:\implies\rm{7 = b}[/tex]
Placing b = 7 in equation we get,
[tex]:\implies\rm{y = 5x + b}[/tex]
[tex]:\implies\rm{y = 5x + 7}[/tex]
Brian buys a computer for £2100.
It depreciates at a rate of 1% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answer:
it will be 1974
Step-by-step explanation:
2100*6/100
=126
Answer:
1997.08 pounds at the beginning of 6 years.
Step-by-step explanation:
If you start at 2100 pounds, and it depreciates by .01 every year, you would start by doing this. It wouldn't just be subtracting 21 each year because the value depreciates and 1% would come off the new depreciated value each year.
1st year - 2100*.01 = 21
2100-21 = 2079
2nd year - 2079*.01 = 20.79
2079 - 20.79 = 2058.21
3rd year - 2058.21*.01 = 20.58
2058.21-20.58 = 2037.63
4th year - 2037.63*.01 = 20.38
2037.63-20.38 = 2017.25
5th year - 2017.25*.01 = 20.17
2017.25 - 20.17 = 1997.08
6th year - at the beginning of the 6th year, it would be worth 1997.08.
At the end of the 6th year, it would be: 1997.08*.01 = 19.97. 1997.08-19.97 = 1977.11
Share 120 in the ratio 3:5:7
Answer:
24:40:56
Step-by-step explanation:
3+5+7=15
120/15=8 1 Ratio is 8
3x8=24
5x8=40
7X8=56
i dont know if its the easiest method
Ayudaaa necesito resolver 2 ejercicios
A) √x+2=x
B) 3+√2x-6=x
Answer:
A) x=4
B)x=[tex]\sqrt{2}[/tex]+3 or 7.24
Step-by-step explanation:
Write as a single fraction in its simplest form.
[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]
Need to review this problem for finals help pls
Answer:
Step-by-step explanation:
Slope form: y=mx+b
given slope and x intercept:
y=3x+b
let y=0
0=3(7)+b
b=-21
so:
ANSWER: y=3x-21
Write the following in simplified radical form.
Step-by-step explanation:
I think the answer is like this
If 8 drinks cost 12 dollars how much will 12 drinks cost
Hello there for this problem we can make a proportion
[tex]\frac{8\:drinks}{12\:cost}=\frac{12\:drinks}{x}[/tex], we are trying to find how much x is
cross multiply and we get that [tex]8x=144[/tex]
divide both sides by 8 and we get [tex]x=18[/tex], 12 drinks would've cost 18 dollars
Answer:
1 drink = 12 ÷ 8
= 1.5
So 12 drink = 12 × 1.5
= 8 dollars
Sally saved 65% of her pay check. If she made $500, how much did she save?
Answer: 325 dollars
Step-by-step explanation:
In order to find out a percentage of somethin, you can simply multiply and divide
[tex]500*65=32500[/tex]
32500÷100= 325
How many pennies are on the nth square? 2n 2n â€"" 1 2n 1 2n â€"" 1 2n 1.
The number of pennies is an illustration of pattern and sequence.
The number of pennies in the nth square is [tex]2^{n-1[/tex]
From the complete question, we have the following parameters
[tex]f(1) =1[/tex]
[tex]f(2) =2[/tex]
[tex]f(3) =4[/tex]
[tex]f(4) =8[/tex]
Rewrite the functions as follows:
[tex]f(1) = 2^0[/tex]
[tex]f(2) = 2^1[/tex]
[tex]f(3) = 2^2[/tex]
[tex]f(4) = 2^3[/tex]
Express 3 as 4 - 1
[tex]f(4) = 2^{4-1[/tex]
Replace 4 with n
[tex]f(n) = 2^{n-1[/tex]
Hence, the number of pennies in the nth square is [tex]2^{n-1[/tex]
Read more about pattern and sequence at:
https://brainly.com/question/24655254
PLEASE HELP.
True or False
The graph of an exponential function, y=ab^x produces an asymptote at the line y=0.
Find the area of the figure and type your result in the empty box
Answer:
where is the question ⁉️
Which lines are the directrices of the ellipse? x = â’4. 25 and x = 8. 25 x = â’3. 25 and x = 9. 25 y = â’4. 25 and y = 8. 25 y = â’3. 25 and y = 9. 25.
Answer:
ellipse? x = â’4. 25 and x = 8. 25 x = â’3. 25 and x = 9. 25 y = â’4. 25 and y = 8. 25 y = â’3. 25 and y = 9. 25.
I need help
What does x² equal?
Answer: we need to know what the equation is
Step-by-step explanation: