Functions
Acellus
Find the equation of this line.
[?]
-x+ []
y =
Simplify the fractional part.
![FunctionsAcellusFind The Equation Of This Line.[?]-x+ []y =Simplify The Fractional Part.](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/jOq8SBOYzYbpcClNV3ECnPw4zy5JABOT.png)
Answers
Answer:
y = -2/5 x +1
Step-by-step explanation:
We know two points on the line (-5,3) and ( 5,-1)
We can find the slope using the slope formula
m = ( y2-y1)/ (x2-x1)
m = ( -1 -3)/( 5- -5)
= (-1-3)/ (-5+5)
-4/10
=-2/5
Using the slope intercept form of the the lint
y = mx+b where m is the slope and b is the y intercept
y = -2/5 x+b
Using one of the point and substitute in for x and y
3 = -2/5 (-5) +b
3 = 2 +b
1 = b
y = -2/5 x +1
The equation of the line passes through the points (0, 1) and (5, -1) will be;
[tex]y = - \dfrac{2}{5}x + 1[/tex]
The equation of a line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 1) and (5, -1).
Now,
Since, The equation of line passes through the points (0, 1) and (5, -1).
So, We need to find the slope of the line.
Hence, the Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 1) / (5 - 0)
m = - 2 / 5
Thus, The equation of the line with slope - 2/5 is,
[tex]y - 1 = - \dfrac{2}{5} (x - 0)[/tex]
[tex]y - 1 = - \dfrac{2}{5}x[/tex]
[tex]y = - \dfrac{2}{5}x + 1[/tex]
Therefore, The equation of a line is [tex]y = - \dfrac{2}{5}x + 1[/tex].
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Related Questions
A recipe for a loaf of bread requires 2/3 cup of flour. How many cups of flour would it take to make 15 loaves of bread?
Answers
Answer:
10
Step-by-step explanation:
1 loaf if bread= 2/3 cup
15 loaves of bread= 2/3 × 15
= 10
Find the product. Simplify your answer. (m–4)(2m+2)
Answers
Answer:
2m²-6m-8
Step-by-step explanation:
(m-4)(2m+2)
= (m+-4)(2m+2)
= (m)(2m)+(m)(2)+(-4)(2m)+(-4)(2)
= 2m²+2m-8m-8
= 2m²-6m-8
Pls help with my maths!!!
Answers
Step-by-step explanation:
[tex] \frac{x + 6}{ x} = \frac{5}{2} [/tex]
Then collect like terms
answer is x = 4
Answer:
x = 4
Step-by-step explanation:
x + 6/x = 5/2
2(x + 6) = 5(x)
2x + 12 = 5x
12 = 5x - 2x
12 = 3x
12/3 = x
4 = x
Hence,
Value of x is 4
Emily reads a story book. o the first day, she reads 1/9 of the whole book, and on the second day, she reads 24 pages. The ratio of the number of pages read to the remaining pages in the two days is 1:4. How many pages are there in this book
Answers
Answer:
Step-by-step explanation:
Let P be the number of pages
First day reads P/9 pages
Second day reads 24 pages
two days reading is P/5 (1 page read for every 4 pages left)
P/9 + 24 = P/5
P + 24(9) = 9P/5
5P + 24(9)(5) = 9P
1080 = 4P
P = 270 pages
There are 270 pages in this book.
Given that,
Emily reads a storybook the first day,
She reads 1/9 of the whole book, and on the second day, she reads 24 pages.
The ratio of the number of pages read to the remaining pages in the two days is 1:4.
We have to find
How many pages are there in this book?
According to the question,
Let, P is the number of pages,
The first day Emily reads p/9 pages of the whole book,
And the second day she read 24 pages.
The ratio of the number of pages read to the remaining pages in the two days = 1;4 = p/5.
Therefore,
The number of pages reads first day + the number of pages read the second day = The ratio of the number of pages read to the remaining pages in the two days
[tex]\rm \dfrac{p}{9} + 24 = \dfrac{p}{5}\\\\ \dfrac{p}{5} - \dfrac{p}{9} = 24\\\\\dfrac{p \times 9 - p\times 5}{45} = 24\\\\ \dfrac{9p-5p}{45} = 24\\\\\dfrac{4p}{45} = 24\\\\4p = 24\times 45\\\\4p = 1080\\\\p = \dfrac{1080}{4}\\\\p = 270 \ pages[/tex]
Hence, there are 270 pages in this book.
For more details refer to the link given below.
https://brainly.com/question/14505922
plss help me... with explanation
(20 pnts)
Answers
Answer:
B. slope
Step-by-step explanation:
USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W+5) AS AN EQUIVALENT EXPRESSION
Answers
Answer:
w = 5
Step-by-step explanation:
Step 1: Use the Distributive property to get 6w + 30.
Step 2: Divide 6w by 6 and cancel out both 6s.
Step 3: Divide 30 by 6 to get 5, and you have the answer.
Find the total amount and total interest after one year if the interest is compounded half yearly
Principal = 4000
Rate of interest = 10% per annum
Total amount =
Total interest =
Answers
Total amount=p(1+(r/k))^(k*t)
p=principal
r=rate
k=number of times compounder per year
t=number of years
So 4000(1+(.10/2)^(2*1)=4410
4410 is the total amount owed
4410-4000=410
410 is the total interest owed
question in file .
give me brainlg anserf
Answers
Explanation
Formula to be used,
1st equation of motion, v = u + at • 3rd equation of motion,v² - u² = 2 asSolution,
Putting all the values, we get
v=u + at
⇒0 = u + (-0.5) × 20
⇒-u=-0.5 × 20
⇒u = 10 m/s
Hence, the initial velòcity of the car is 10
city of the car is 10m/s.
Now, the distance covered,
v²-u² = = 2as
⇒ (0)²-(10)² = 2 × (-0.5) × s
⇒-100 = - 1s
⇒ s = 100 m
Hence, the distance covered is 100 m.
What is the perimeter of the triangle?
Answers
Answer:
L1 + L2 + L3 = perimeter
Step-by-step explanation:
You add each side of the triangle together.
Answer:
L1+L2+L3
Step-by-step explanation:
You add all the sides of the triangle to get the perimeter
4+2g+5g=-66
help me
plsss
pls
Answers
Hope it helps
4+7g=-66
-4 -4
7g=-70
/7 /7
G=-10
2 and 5/6 divided by 1 and 2/3 find the solution and write it in simplest form
Thanks for the help!!!!
Answers
Answer:
1 7/10
Step-by-step explanation:
= 17/6 ÷ 5/3
= 17 x 3
= 6 x 5
= 51/30
= 1 7/10
It costs $6.50 per fidget popper. How much would it cost to get 8 fidget poppers.
Answers
Answer:
$52
Step-by-step explanation:
8*6.50
What is the value of c?
Answers
Answer:
Step-by-step explanation:
Explanation:
Since it is a right triangle and we are given the two shorter legs, the hypotenuse is found by
c
2
=
a
2
+
b
2
c
2
=
10
2
+
24
2
=
100
+
576
=
676
c
=
√
676
=
26
Solve the system of equations by the substitution method.
y = 2x + 1
5y-7x = 11
.....
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is (Simplify your answer. Type an ordered pair.)
OB. There are infinitely many solutions.
O C. There is no solution.
Help
Answers
Answer:
(2,5) -- that is, x is 2, and y is 5, so it would be choice A.
Step-by-step explanation:
5(2x+1)-7x=11
10x+5-7x=11
3x=6
x=2
y=2(2)+1=5
correct?`````````````````````````
Answers
Answer:
It's $5 for a ticket
Step-by-step explanation:
Hope this helps
MAy I get Braineist pls?
Expand using identities:
(i) (2x- 5y)²
(ii) (11a + 2) (11a – 2)
(iii) (7m + 3) (7m + 3)
Answers
Answer:
Step-by-step explanation:
(2x-5y)^2
(2x-5y)(2x-5y)
4x^2-10xy-10xy+25y^2
4x^2-20xy+25y^2
------------------------------
(11a+2)(11a-2)
121a^2+22a-22a-4
121a^2-4
------------------------------
(7m+3)(7m+3)
49m^2+21m+21m+9
49m^2+42m+9
QUESTION 15 PLEASE HELP ME ASAPP
Answers
Answer:
The line shifted up 8 units
Step-by-step explanation:
Solve 5 - 2x < 7.
A) x < -1
B) x > -1
0x<
-12
D) x>-12
Answers
Answer:
x < - 1
Step-by-step explanation:
You have to treat it is a linear equation.
First, - 5 from both sides, resulting in -2x < 2.
Lastly, you need to find x on it's own so you have to divide by - 2.
Therefore, the answer would be x < -1.
Hope this helps :)
what is the sum of two number 55 + 6
Answers
Answer:
61
Step-by-step explanation:
1+1+1+1+1+1=6
6x10=60
60+1=61
What is 180 in./sec in m/min?
Answers
274.32 is the answer. Tell me if I need to be more precise.
A builder makes a certain type of concrete by mixing together 1 part portland cement (made from lime and clay), 3 parts sand, and 5 parts crushed stone. If 765 ft^3 of concrete are needed, how many cubic feet of each ingredient does he need?
Answers
Answer:
85 ft^3 portland cement255 f^3 sand425 ft^3 crushed stoneStep-by-step explanation:
The total number of parts is 1+3+5 = 9. The relevant fractions of the mix are ...
1/9 = portland cement
3/9 = 1/3 = sand
5/9 = crushed stone
Since the total is 765 ft^3, the ingredients required are ...
(1/9)(765 ft^3) = 85 ft^3 portland cement
(1/3)(765 ft^3) = 255 f^3 sand
(5/9)(765 ft^3) = 425 ft^3 crushed stone
is the following relation a function {(-6,-3),(-6,-1),(-6,5),(-6,8)
Answers
Answer:
Step-by-step explanation:
This relation (this group of points) is NOT a function. In order to be a function, every x-value (the first number in the pair) can only be paired up with one y-value (only one partner for the x)
In this relation, -6 is paired up with four different y-values (four different partners!)
If you plotted these points on a graph, you would see they are all lined up in a vertical line. If you have learned about the vertical line test, you will see that a vertical line goes through all four points. This set of points fails the vertical line test. To be a function, a vertical line can only touch the points one at a time.
To be a function, every x can only have one y partner.
A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of swar to water
in the mixture?
Answers
Step-by-step explanation:
Ounces of water = 56 - 14 = 42 ounces
Ratio of sugar to water
56 : 42
8 : 6
4 : 3
What is the value of the expression when a=3 and b=4
Answers
Answer:
The equation
Step-by-step explanation:
I need the equation so I can answer your question.
When buddy ran away after his dad yelled at him dad and step brother searched 10% of New York for him what is this number as a fraction written in simplest form
Answers
Answer:
1/10
Step-by-step explanation:
they searched 1/10of New york
10%=10/100
=10%=1/10
Answer : 1/10
Step - by - step explanation :
10% = 10/100 ( because percentages are always out of 100 )
10/100 divided by 10/10 = 1/10
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answers
Answer:
Copy an angle is the best solution with compass and straight edge.
The following graph shows the system of equations?
PLS HELP
Answers
The lengths of the sides of quadrilateral EFGH are as follows: EF = 12 cm, FG = 6 cm, GH = 9 cm, and EH
- 9 cm. If EFGH - MNOP and NO = 7.5 cm, which statement about the side lengths of quadrilateral MNOP
is true?
MN = 12 cm because the scale factor for dilating quadrilateral EFGH is 1.
MP = OP = 7.2 cm because the scale factor for dilating quadrilateral EFGH is
UA
5
HMN = 13.5 cm because the scale factor for dilating quadrilateral EFGH adds 1.5 cm to EF.
MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.
Answers
The true statement about the side lengths of quadrilateral MNOP is (d) MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.
The side lengths of EFGH are given as:
[tex]EF = 12\ cm[/tex]
[tex]FG = 6\ cm[/tex]
[tex]GH = 9\ cm[/tex]
[tex]EH = 9\ cm[/tex]
Length NO is also given as:
[tex]NO = 7.5\ cm[/tex]
Because both quadrilaterals are similar, then side NO corresponds to side FG.
The scale factor (k) from EFGH to MNOP is then calculated as:
[tex]k = \frac{NO}{FG}[/tex]
[tex]k = \frac{7.5}{6}[/tex]
[tex]k = 1.25[/tex]
The side lengths of MNOP are then calculated using:
[tex]MN = 12cm \times 1.25[/tex]
[tex]MN = 15\ cm[/tex]
[tex]OP = 9cm \times 1.25[/tex]
[tex]O P = 11. 25 cm[/tex]
Also,
[tex]MP = 11. 25 cm[/tex]
So, the true statement is (d)
Read more about dilations at:
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help plslssssssssssssssss
Answers
Step-by-step explanation:
The answer is
In step 1 the multiplication property of equality was applied incorrectly
index notation simplify 4^9 x 4^3
Answers
Answer:
[tex]4^{12}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]4^{9}[/tex] × [tex]4^{3}[/tex] = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]