Answers
Answer:
[tex]y = \frac{-7}{3}x -12[/tex]
Step-by-step explanation:
Point-slope form is [tex]y-y_1= m (x-x_1)[/tex]. The [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] have to be substituted for with real values in order to make an equation of a line. From there, you can isolate [tex]y[/tex] to turn it into slope-intercept form.
1) First, let's find the slope of the line, which is represented by the variable [tex]m[/tex]. Use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of one point, [tex]x_2[/tex] and [tex]y_2[/tex] are the x and y values of another point. For this problem, let's use the given points (-3, -5) and (-6, 2):
[tex]\frac{(2)-(-5)}{(-6)-(-3)} \\= \frac{2+5}{-6+3} \\= \frac{7}{-3}[/tex]
Thus, the slope is [tex]\frac{7}{-3}[/tex].
2) Now that we have the slope, let's substitute it into the point-slope formula. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point that the line intersects so you could either use (-3, -5) or (-6,2), but for this answer, I used (-6,2). (The answer will always be the same no matter which point you choose.) Substitute these values then isolate y to put it in slope-intercept form:
[tex]y-(2) = \frac{-7}{3} (x-(-6))\\y -2 = \frac{-7}{3} (x+6)\\y-2 = \frac{-7}{3}x-\frac{42}{3} \\y -2 = \frac{-7}{3}x-14\\y = \frac{-7}{3}x-12[/tex]
So, [tex]y = \frac{-7}{3}x -12[/tex] is the answer.
Related Questions
Jada went to the mall yesterday with $30.
• She spent 2/5 of her money on a new purse.
She spent / of what was left at the food court.
• She gave $5 to her friend.
How much did she have left?
Answers
Fake Question So It Doesn't Get Taken Down (What is the gemological answer for 5.87 x 7?) Real Question: Whats something i could watch on Netflix?
Answers
So numberone.....
haikyuu: its really good but its does cuss a bit.
MakoMermaids: LOLOLOL this one is kinda a joke-but itsgood
Work It:I totally recommend this one! Its a funny movie about a girl starting a dance group. Its great.
Prime Factorization of 63 is 3 x 3 x 7.
What is the equivalent expression?
A. 23 x 7
B. 9x7
C. 32 x 7
D. 3x7
Answers
Answer: 9 x 7
Step-by-step explanation: 9 x 7 = 63
Hope this helps!
Which of these is a solution to the equation ⅛ = ⅖ x? Use inverse operations to solve.
2/40
5/16
11/40
17/40
Answers
You have to simplify both sides of the equation, then isolating the variable.
Base b contains b-1 symbols
Answers
Ammar hikes 2 3/4 miles of nature trail in 1 hour and 15 minutes. 4
How many miles of trail does Ammar hike per hour?
Answers
Answer:
.42 mph
Step-by-step explanation:
The problem tells us theres 2.75/1.15 miles/hour. And we want to know x/1 miles/hour. To do this you cross-multiply using whats been referee to as the butterfly method. So take 2.75*x=1.15*1. Then you simplify and get 2.75x=1.15. To get x along you must divide which leaves you with. X=.4182(rounded). So you can go .42 miles per hour.
The sum of three consecutive EVEN integers is is 138. Find the smallest integer.
Answers
Step-by-step explanation:
Let x be the smallest even integer.
Then (x + 2) and (x + 4) are the other even integers.
We have x + (x + 2) + (x + 4) = 138.
=> 3x + 6 = 138
=> 3x = 132
=> x = 44.
Hence the smallest integer is 44.
-4y^5 + 6y^3 + 8y^2 - 2y
Answers
Factorise:
4x^2+4xy+y^2-2^2
Answers
Answer:
Step-by-step explanation:
4x^2 + 4xy + y^2 = (2x + y)^2
and if we assume that 2x + y = A and because 4 = 2^2
A^2 - 2^2 = (A-2)*(A+2) .
The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.
Scale factor: 4:5
Surface area: 160
volume: 704
Surface area: ?
volume: ?
Answers
Answer:
Surface area: 250
Volume: 1375
Step-by-step explanation:
Scale factor: 4:5
This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.
Surface area:
The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So
[tex]S = (\frac{5}{4})^2 \times 160 = \frac{25}{16} \times 160 = 25 \times 10 = 250[/tex]
Volume:
The volume is found multiplying the cube of the change(5/4) by the original volume(704). So
[tex]S = (\frac{5}{4})^3 \times 704 = \frac{125}{64} \times 704 = 125 \times 11 = 1375[/tex]
Cindy is buying a new car and wants to learn how the value of her car will change over time. Insurance actuaries predict the future value of cars using depreciation functions. One such function is applied to the car whose declining value is shown at the right.
Answers
Answer:
um theres no picture or anything but when a value decreases in an equation its exponential decay...
The temperature at 6:00 a.m. was -6°F. By 12 noon, the temperature had increased by 15°F. What was the temperature at
12 noon?
Answers
Answer:
9°
Step-by-step explanation:
-6 + 15 = 9
a second truck arrives whose ladder, when extended,is 30 meters long. the base of this ladder is also 4 metres above the ground. for safety reasons, the max angle of elevation that the ladder can make is 70%
Answers
Answer: The maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
Step-by-step explanation:
A diagram for the given situation is attached.
To find: AC
In right triangle ABF,
[tex]\dfrac{AB}{AE}=\sin 70^{\circ}\\\\\Rightarrow\ \dfrac{AB}{30}=0.9397\\\\\Rightarrow\ AB=30\times0.9397\approx 28.19[/tex]
Now AC = AB + BC = 28.19 + 30 meters = 58.19 meters
Therefore, the maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
In a collection of 40 coins, 45% of the coins are nickels? How many nickels are in the
collection?
F 20
G 15
H 18
J 24
Answers
doar de la 1 pana la 9
Answers
Identify the number soutions 5y^3-3y^2+8y=0
Answers
Answer: 0
Step-by-step explanation:
Step 1: factor left side of equation
y(5y^2-3y+8)=0
Step 2: set factors to equal zero
y=0 or 5y^2-3y+8=0
y=0
What would need to happen to create a ratio of 3:1?
Answers
Answer:
subtract 2
Step-by-step explanation:
Answer:
Divide an odd number by 3
Step-by-step explanation:
f(x)=1/(6x+8)
Only value of x not in the domain?
Answers
Answer:The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
Step-by-step explanation:
Can someone help with this mapping function I need help !
Answers
Answer:
A
Step-by-step explanation:
X's cannot have multiple outputs (y's) but y's can. The only one that prove thia is the case is A
-6+ (-20) + (-40) + 3d
Answers
Answer: -66 + 3d or 3d - 66
Step-by-step explanation:
-6 + (-20) + (-40) + 3d
-6 - 20 - 40 + 3d
-26 - 40 + 3d
-66 + 3d or 3d - 66
Hope I helped!
HELP PLEASE The 30% discount on a $49 dollhouse
Answers
Answer:
$14.70
Step-by-step explanation:
$49 x .30 = $14.70
What is the answer?!!!
Answers
Answer:
[tex]\displaystyle d = \sqrt{72}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, -3)
Point (8, -9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9--3)^2}[/tex](Parenthesis) Simplify: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9+3)^2}[/tex](Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(6)^2+(-6)^2}[/tex][√Radical] Exponents: [tex]\displaystyle d = \sqrt{36+36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{72}[/tex]HELP PLEASEEE
The table shows the relationship between the number of sunflower seeds and the number of packages of sunflower seeds.
Which rule describes the values in the table?
Number of Seeds, x 15 30 45 60
Number of Packages, y 1 2 3 4
Answers
Answer:
Step-by-step explanation:
Help me
Answer:
y=15+x
Step-by-step explanation:
I NEED HELP! Reflections! Please and thank you.
Answers
When reflecting across the x axis, the x values remain the same and the y values become the opposite of the original.
P' = (0,-3)
F' = (4,-2)
M' = (2,3)
Q' = (-2,2)
V is the midpoint of GH. G has coordinates (5, -3), and V has coordinates (-1, 3). Identify the coordinates of H.
Answers
Answer:
(-7,9)
Step-by-step explanation:
pleaseeee helppppppppp meeeeee
Answers
Answer:
x = 10 yd
Explanation:
These triangles are based on proportions. 12 yd is proportional to 18 yd, and x yd to 15 yd. We want to find x. We'll use the rule of three to calculate the unknown number.
12/18 = x/15
x = (12 · 15)/18
x = 10 yd (10 yards from the hut to the gold coins)
9. If you borrow $200 at 10% for seven years, how much will you pay back by the end of the term?
Answers
Answer:
You will have to pay 140 dollars.
Step-by-step explanation:
Go onto calculator soup and look up simple interest calculator. :)
14 candy bars cost $5.20. How much would one cost? What is the unit rate?
Answers
Answer:
$0.37
Step-by-step explanation:
You can write this equation as, x=$5.20÷14.
This is because we know we are trying to find the x value for 1 candy bar. and 14 costs $5.20 in total. 14÷14=1. Therefore, we essentially divided the total sum among each individual candy bar. (example: if you wanted to find the value of 2 candy bars, you would take half of 14 and divide $5.20 by 7). $5.20÷14=$0.37 or 37 cents per candy bar.
Writing this as a rate is simple; it's $0.37/candy bar
Solve.
8d + 6 = 22
d =
Answers
d = 2
Explanation:
You have a box of chocolates (30 chocolates in the box). 15 are filled with caramel, 10 are filled with chocolate, and 5 are filled with cream. You and a friend pick a chocolate at random. What is the probability that you both pick chocolate
Answers
Answer:
10.34% probability that you both pick chocolate
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.
Combinations Formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
10 are filled with chocolate, and we want to pick 2. So
[tex]D = C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Total outcomes:
The box has 30 chocolates, and 2 are picked, so:
[tex]T = C_{30,2} = \frac{30!}{2!(30-2)!} = 435[/tex]
Probability:
[tex]P = \frac{D}{T} = \frac{45}{435} = 0.1034[/tex]
10.34% probability that you both pick chocolate