Answers
To find the equation of line take any two points on graph,
Point A = (0,3) = (X1,Y1)
Point B = (3,0) = (X2,Y2)
Y intercept is = 3,
Now find the slope of line using two point formula,
[tex]Slope = \frac{Y2-Y1}{X2-X1} \\ \
Slope = \frac{3-0}{0-3} = -1[/tex]
Equation of the line in standard form is,
[tex]Y - Y1 = m(X - X1)[/tex]
where m is the slope of line!
Now substituting Y1, m, X in above equation!
[tex]Y - Y1 = m(X - X1) \\ Y - 3 \: = - 1(X - \: 0) \\ Y - 3 = - X \\
X + Y = 3 \\
Y = 3 - X[/tex]
The equation of line in Slope intercept form,
[tex]\fbox{Y = - X + 3}[/tex]
Thanks for joining brainly community!
Related Questions
Solve Calculate the product: 2/9 × 63. A. 7 B. 14 C. 18 D. 45
Answers
Answer:
14
Step-by-step explanation:
You can solve it like this:
63x2=126
126/9=14
100 POINTS!
What is the value of x? Enter your answer in the box. x =
Answers
Answer:
x = 4
Step-by-step explanation:
For ΔLJK
[tex]sin(K) = \frac{Opposite}{Hypotenuse} \\sin(30)=\frac{LJ}{8\sqrt{2} }[/tex]
[tex]LJ=8\sqrt{2} *sin30=4\sqrt{2}[/tex]
For ΔLMJ
[tex]sin(J) = \frac{Opposite}{Hypotenuse} \\sin(45)=\frac{LM}{4\sqrt{2} }[/tex]
[tex]LM=4\sqrt{2} *sin45=4[/tex]
x = LM = 4
In an election, Candidate A received 476 votes and Candidate B received 374 votes. What percentage of the votes did Candidate A receive?
Answers
476/850 * 100/100
(476 * 100/ 850) * 1/100 = 56/100
56/100 = 56%
5 used books for 9.95
Answers
Answer:your mom
Step-by-step explanation:
Given the data set 5, 5, 6, 6, 6, 6, 6, 6, 6, 7 which of the mean, median or mode would you use to describe the typical or central value in this date set? Why?
Answers
Answer:
Both median,mode and mean are measures of central tendency but according to the question Mode is the best measure since it is unique
PLEASE SHOW HOW YOU GOT THE ANSWER THANKS!
GIVING BRAINLIEST!!!
Answers
Answer:
a) 5 b) 1 c) 0 d) -4
Explanation:
a) 10[(1/2+1/4) + 2(1/8)] ÷ 2
Ok, there's a lot going on. You will want to follow PEMDAS, the acronym of the Order of Operations. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. The M/D can be switched depending on what comes first from left to right, and same goes for A/S.
First, start off by doing everything in the brackets.
Let's add 1/2 and 1/4. To add fractions, they have to have a common denominator. I'm making 1/2 into 2/4 but multiplying the top and bottom by 2. Now it is 2/4 + 1/4 so we can add to get 3/4.
The other thing inside the brackets is 2(1/8). We can just multiply straight across and get 2/8. This can be simplified to 1/4.
Now, we add 3/4 and 1/4. The denominators are already the same, so we can just add them together to get 4/4 or 1.
Rewriting the equation, we now have 10(1)÷2
10•1 = 10
10 ÷ 2 = 5
The answer to question a is 5.
b) √(0.6)² + (0.8)²
First, we need to square both terms. Squaring is the same as multiplying the number by itself.
0.6 • 0.6 = 0.36
0.8 • 0.8 = 0.64
Add them together: 0.36 + 0.64 = 1
√1 = 1
The answer to question b is 1.
c) (1/5 - 3/5) • √6•3/2 + (√36 ÷ √5²)
Let's start with the first bit: (1/5 - 3/5)
The denominators are the same, so just subtract and you get -2/5
The second bit now: [tex]\sqrt{6 *\frac{3}{2} }[/tex]
Multiply across and you get 18/2, which can be simplified to 9
√9 = 3
The third section: ([tex]\sqrt{36}[/tex]÷ [tex]\sqrt{5^{2} }[/tex])
The square root of 36 = 6 (because 6•6=36, so it's right)
The square root and the square cancel each other out, so the second part is 5.
6 ÷ 5 = 1.2
Now put it all together: -2/5 • 3 + 1.2
I'm making the 1.2 into a fraction so it is the same as the fraction: 1.2 = 6/5
We now have -2/5 • 3 + 6/5
First we multiply -2/5 and 3 across:
-2/5 • 3 = -6/5
Now we add -6/5 and 6/5 across:
-6/5 + 6/5 = 0
d) [-1.5 + √0.25 - (-0.75)] • 2^4
Doing the brackets first:
The square root of 0.25 = 0.5 (because 0.5 • 0.5 = 0.25)
-1.5 + 0.5 - -0.75
-1 + 0.75 (subtracting a negative make a positive)
-0.25
-0.25 • 2^4
2^4 = 16 (this is saying 2•2•2•2 which is 16)
-.25 • 16 = -4
here a subtraction problem that has been solved incorrectly for 44-16=28 choose the addition sentence that check this subtraction problem the choices are 28+16=32 28+44=72 28+16=44 which one is correct
Answers
Answer:
Answer:
28+16=44
Step-by-step explanation:
point of correction it has been solved correctly
when subtracting 44 - 16 it gives you 28
=> 44 - 16
=> 28
SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY
you will minus 28 from one of the numbers before the equal sign
the correct option is 28 + 16 equals to 44
=> 28+16=44
Answer:
28 + 16 = 44
Step-by-step explanation:
basically it is like isolating the biggest number (44) by bringing 16 to the right side of the equation. from 44 - 16 = 28 to 44 = 28 + 16 which is the same as 28 + 16 = 44
If f(x)=3x-1 and g(x)=x+5, find (f o g)(x) and (g o f)(x)
(f o g)(x)=
(g o f)(x)
Answers
Answer:
(f o g)(x)= 3x + 14
(g o f)(x) = 3x + 4
Step-by-step explanation:
(f o g)(x) = f(g(x)) = f(x + 5) = 3(x + 5) - 1 = 3x + 15 - 1 = 3x + 14
(g o f)(x) = g(f(x)) = g(3x - 1) = 3x - 1 + 5 = 3x + 4
Answer:
[tex](f \circ g)(x) = 3x + 14[/tex]
[tex](g \circ f)(x) = 3x + 4[/tex]
Step-by-step explanation:
Hello!
Rewrite the equations:
[tex](f \circ g)(x) = f(g(x))[/tex][tex](g \circ f)(x) = g(f(x))[/tex]Given that:
f(x) = 3x - 1g(x) = x + 5Solve for [tex](f \circ g)(x)[/tex]:[tex]f(g(x)) = 3(g(x)) - 1[/tex][tex]f(x + 5) = 3(x + 5) - 1[/tex][tex]f(x + 5) = 3x + 15 - 1[/tex][tex]f(x + 5) = 3x + 14[/tex][tex](f \circ g)(x) = 3x + 14[/tex]
Solve for [tex](g \circ f)(x)[/tex]:[tex]g(f(x)) = f(x) + 5[/tex][tex]g(3x - 1) = (3x - 1) + 5[/tex][tex]g(3x - 1) = 3x +4[/tex][tex](g \circ f)(x) = 3x + 4[/tex]
Each wall in the room is 10feet by 11 feet how many rolls of wall paper will you need of each roll covers 25 square feet
Answers
Answer:
4.4 rolls
Step-by-step explanation:
10 x 11 = 110
110 / 25 = 4.4
What annual interest rate will cause your money to double in four years
Answers
Answer:
The rule also means if you want your money to double in 4 years, you need to find an investment that earns 18% per year compounded annually.
Step-by-step explanation:
Factor the expression using the GCF.
4 + 22
Answers
the greatest common factor between 4 and 22 is 2, so you have to pull that out
Answer:
2(2+11)
Step-by-step explanation:
i hope it helps i guess
find the following number of LCM in division method.
a) 6,8 and 12
Answers
Answer:
24 is the LCM.
Step-by-step explanation:
6, 12, 18, 24
8, 16, 24
12, 24
The radius of a circle is tripled, what happens to the circumference of the circle?
Answers
Answer:
It gets bigger
Step-by-step explanation:
You just multiply the circumference by 3
Answer:
The circumference is tripled
Step-by-step explanation:
The formula for the circumference is 2πr. If you triple the radius the formula would be 2π3r. the ratio between the two is 2π3r / 2π1r. 2π & r cancels out and you have 3/1 left. Therefore the answer is the circumference is tripled.
The fact that there is no exponential in the formula indicates that the proportional increase is lineal.
4 > 3 is an example of an?
Answers
Answer:
is an example of enequality
3 tons of sand cost $3,900.00. What is the price per pound?
Answers
Answer:
65¢
Step-by-step explanation:
3 tons of sand cost $3900
A ton is 2000 pounds
6000 pounds of sand cost $3900
3900/6000 = 0.65
65¢
Step-by-step explanation:
3ton ==> $3,900.00
1ton ===> $3,900.00/3 =$1,300.00
1 ton = 2204.623 pound
1 pound==> $1,300.00 / 2204.623 = $0.59 approx
3 1/2 is to 5 as x is to 15
Answers
Answer:
[tex]x = 10.5[/tex]
Solving steps:
3 1/2 = 5, x = 15
divide 3.5 by 5
=> 0.7
0.7 by 15
=> 10.5
Water is being poured into a hemispherical bowl of radius 8 inches at the constant rate of
5 in^3/sec. Let V represent the volume of water in the hemispherical bowl (in cubic inches)
and let h represent the height of water in the bowl (in inches). Then V=pih2 (R-h/3),
where R represents the radius of the bowl in inches. Determine the rate at which the water
level is rising at the moment the water is 2.4 inches deep.
Answers
Answer:
Approximately [tex]0.0435\; \text{in} \cdot \text{s}^{-1}[/tex]. (Given that [tex]V = \pi\, r\, h^{2} - (1/3)\, h^{3}[/tex].)
Step-by-step explanation:
Let [tex]t[/tex] denote time. Both the volume of water in the bowl, [tex]V[/tex], and the height of water in the bowl, [tex]h[/tex], are dependent on [tex]t\![/tex] (as if the [tex]V\![/tex] and [tex]h[/tex] are functions of [tex]\! t[/tex].)
Implicitly differentiate both sides of the equation [tex]V = \pi\, r\, h^{2} - (1/3)\, h^{3}[/tex] with respect to [tex]\! t[/tex]:
[tex]\displaystyle \frac{d}{d t}[V] = \frac{d}{d t}\left[\pi\, r\, h^{2} - (1/3)\, h^{3}\right][/tex].
[tex]\displaystyle \frac{d V}{d t} = 2\, \pi\, r\, h\, \frac{d h}{d t} + (1/3)\, (3\, h^{2})\, \frac{d h}{d t}[/tex].
Both [tex]h[/tex] (current height of water in the bowl) and [tex](d V) / (d t)[/tex] (rate at which water is poured into the bowl) are given: [tex]h = 2.4\; \text{in}[/tex] and [tex](d V) / (d t) = 5\; \text{in}^{3}\cdot \text{s}^{-1}[/tex]. The question is asking for [tex](d h) / (d t)[/tex], the rate at which the water level in the bowl is rising.
Thus, rearrange the equation to find an expression for [tex](d h) / (d t)[/tex] in terms of [tex]h[/tex], [tex]r[/tex], and [tex](d V) / (d t)[/tex]. Substitute in the values [tex]h = 2.4\; \text{in}[/tex], [tex](d V) / (d t) = 5\; \text{in}^{3}\cdot \text{s}^{-1}[/tex], and [tex]r= 8\; \text{in}[/tex]; solve for [tex](d h) / (d t)\![/tex], the rate at which the water level is rising:
[tex]\displaystyle \frac{d V}{d t} = \left(2\, \pi\, r\, h\, + (1/3)\, (3\, h^{2})\right)\, \frac{d h}{d t}[/tex].
[tex]\begin{aligned} \frac{d h}{d t} &= \frac{\displaystyle \frac{d V}{d t}}{2\, \pi\, r\, h\, + (1/3)\, (3\, h^{2})} \\ &= \frac{\displaystyle \frac{d V}{d t}}{2\, \pi\, r\, h\, + h^{2}} \\ &= \frac{5\; \text{in}^{3} \cdot \text{s}^{-1}}{2\, \pi \, (8\; \text{in})\, (2.4\; \text{in}) + (2.4\; \text{in})^{2}} \\ &\approx 0.0435\; \text{in} \cdot \text{s}^{-1} \end{aligned}[/tex].
I need the equation.
Answers
Answer:
V = 1/3 LWH
Step-by-step explanation:
V = Volume
L = Length
W = Width (or you can write B instead of W)
B = Breadth (same meaning as Width)
H = Height
Hope this helps you.
Name a multiple of seven is between 20 and 50
Answers
The length of a cell phone is 1.2 inches and the width is 3.4 inches. The company making the cell phone wants to make a new version whose length will be 1.68 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answers
The Answer is : 4.76
How many numbers from 0 to 199 have 3 factors
Pls Help
Answers
There are 6 numbers from 0 to 199 who have 3 factors. These numbers are:-
4( factors-1,2,4)9(1,3,9)25(1,5,25) 49(1,7,49)121(1,11,121)169(1,13,169).Please mark my answer the brainliest.A quadrilateral that has all congruent sides and all right angles is known as a
Answers
Answer: Square
Step-by-step explanation:
Adrin serve each guest 1 /8 of the cake What is the greatest number of guest Adiran can serve
Answers
Answer:
8 guests.
Step-by-step explanation:
1 cake split by 8 guests means each guest gets 1/8 of the cake.
please give brainliest!!
gina wilson unit 7 homework 3 second page document
Answers
Answer:
This will help i am telling you if it don't ask me for the answer
Step-by-step explanation:
HELPPP PLS
show work
Answers
sin32° = x (the opposite angle)/ 10 (the hypotenuse)
Then rearrange the equation to solve for x:
(10)(sin32°) = x
[Solve for sine using a calculator!]
(10)(0.529919264) = x
[Multiply]
5.299192642 = x
[Round to the nearest tenth]
x ≈ 5.3
I hope this helped!
A painting is 2 in wide and 3 in tall. If it
is enlarged to a height of 18 in, then how
wide will it be?
Answers
Answer:
i think it would be 12 inches wide
Step-by-step explanation:
What is the volume of this container? ?
2 ft2
2 ft
2 ft²
I ft
4 ft²
I ft
4 ft3
Answers
Answer:
2ft^3
Step-by-step explanation:
Volume= L× W× H
[tex]volume = 1 \times 1 \times 2[/tex]
[tex]volume = 2ft^{3} [/tex]
~
Question on image. (calculus)
Answers
Answer:
D
Step-by-step explanation:
[tex]\tan^{-1}(\frac{a}{b})}[/tex] is the angle on the right, so
[tex]\cos[\tan^{-1}(\frac{a}{b})}]=\frac{b}{\sqrt{a^2+b^2}}[/tex]
That is D
someone can help me please
Answers
Step-by-step explanation:
64 crayons school order 25 for the art class there are 5 art class they should be share evenly
Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick? Work it out.
Answers
Answer:
19 books
Step-by-step explanation:
95/4÷5/4=19bks