Answer (assuming it is allowed to be in point-slope format):
[tex]y-4 = \frac{2}{3}(x-1)[/tex]
Step-by-step explanation:
1) First, determine the slope. We know it has to be perpendicular to the given equation, [tex]y = -\frac{3}{2} x-4[/tex]. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since [tex]-\frac{3}{2}[/tex] is in place of the m in the equation, that must be the slope of the given line.
Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be [tex]\frac{2}{3}[/tex].
2) Now, use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] to write the new equation with the given information. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute [tex]\frac{2}{3}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for [tex]x_1[/tex] and 4 for [tex]y_1[/tex]. This gives the following equation and answer:
[tex]y-4 = \frac{2}{3}(x-1)[/tex]
lol please help me !
Answer: (a + 2)(a - 2) which is the first answer choice
=========================================================
Explanation:
Use the difference of squares factoring rule which is x^2 - y^2 = (x+y)(x-y)
In this case, x = a and y = 2
x^2 - y^2 = (x+y)(x-y)
a^2 - 2^2 = (a+2)(a-2)
a^2 - 4 = (a+2)(a-2)
Simplify completely'''
Answer:
[tex]\displaystyle \frac{x + 2}{x - 1}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{7x^2 + 11x - 6}{7x^2 - 10x + 3}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{(x + 2)(7x - 3)}{7x^2 - 10x + 3}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{(x + 2)(7x - 3)}{(x - 1)(7x - 3)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{x + 2}{x - 1}[/tex]Marla mixed cream and milk in a ratio of
2 parts cream to 3 parts milk. How many
liters of each did she use if she made 20 liters
Answer:
If it says she made 20 liters of cream then She has 30 liters of milk
Step-by-step explanation:
2 cream x 10 = 20
3 milk x 10 = 30
Hope this helps!
Plz make me Brainliest.
If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals?
Answer:
16
every time you go up 10% there will be 2 added
2*8=16
Step-by-step explanation:
If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
10% of a number is 2 less than 20% of the same number,
10% .x=20%x-2
Convert % to the decimal by diving with 100.
10/100x=20/100x-2
0.1x=0.2x-2
Subtract 0.1x on both sides
0=0.2x-0.1x-2
Add 2 on both sides
2=0.2x-0.1x
2=0.1x
Divide both sides by 0.1
20=x
Now we need to find 80% of 20.
80% of 20
80/100×20
0.8×20
16
Hence, 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ2
I need help fast and i really don’t understand this at all
At a grocery store a 12 pack of 10.75 ounce cans of soup is sold for 15.65 there are 128 oz in a gallon determine the price per gallon round to the nearest cent
You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?
A large tank holds ×5107 gallons of oil. How much oil can be stored in 23 tanks
New York is 5 hours behind London. It is 15:55 in London,
what time is it in New York using the 24 hour clock?
Answer:
10:55
Step-by-step explanation:
15:55 - 5 = 10:55
i will give a brainliest if your answer are correct
Answer:
huhh what this is question is too hard
5×(4+3×2)=5×(4+6)=5×10=50
then its answer C
Find the value of x, given the figures
are similar.
10
30
36
A) 4
C) 90
B) 108
D) 12
Answer:
it's 12 cuz 36 divided by 3 is 12
Find the solutions to x2 = 18.
O A.
- +32
B. X = +63
O c. X = +376
O D. X = +2/3
Answer:
what in the math equations is this???
Step-by-step explanation:
10 km=---------miles
Answer:
10000
Step-by-step explanation:
because 1 km =1000 m
If point N, with coordinates (1, 4) is translated to point N', with coordinates (-1,-1).
which translation did N undergo?
one unit left and three units down
two units left and three units down
two units left and five units down
one unit left and five units down
Instructions: Find the equation of the line through point (2, -1) and
parallel to 2x + 5y = 15. Use a forward slash (i.e. "/") for fractions (e.g. 1/2
for 3).
Answer:
[tex]y = -\frac{2}{5}x -\frac{1}{5}[/tex]
Step-by-step explanation:
Given
Passes through: [tex](2,-1)[/tex]
Parallel to: [tex]2x + 5y = 15[/tex]
Required
First, calculate the slope of the parallel line
[tex]2x + 5y = 15[/tex]
Make y the subject
[tex]5y = 15 - 2x[/tex]
Divide through by 5
[tex]y = 3 - \frac{2}{5}x[/tex]
[tex]y =- \frac{2}{5}x+3[/tex]
An equation in slope intercept has the form:
[tex]y = mx + b[/tex]
Where:
m = slope
[tex]y = mx + b[/tex]
So:
[tex]m = -\frac{2}{5}[/tex]
The required is parallel to [tex]2x + 5y = 15[/tex].
This mean, the same slope
The equation is the calculated using:
[tex]y - y_1 = m(x - x_2)[/tex]
This gives:
[tex]y - (-1) = -\frac{2}{5}(x - 2)[/tex]
[tex]y +1 = -\frac{2}{5}x +\frac{2}{5}*2[/tex]
[tex]y +1 = -\frac{2}{5}x +\frac{4}{5}[/tex]
[tex]y = -\frac{2}{5}x +\frac{4}{5}-1[/tex]
Take LCM
[tex]y = -\frac{2}{5}x +\frac{4-5}{5}[/tex]
[tex]y = -\frac{2}{5}x -\frac{1}{5}[/tex]
i.e.
[tex]y = -2/3x -1/5[/tex]
According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is a woman given that the developer is a student is 7.4%,and the probability that a developer is a woman given that the developer is not a student is76.4%. If we encounter a woman developer, what is the probability that she is a student
Answer:
0.0326 = 3.26% probability that she is a student.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Woman developer
Event B: Student
Probability that the developer is a woman:
7.4% of 25.8%(students).
76.4% of 100 - 25.8 = 74.2%(not students). So
[tex]P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598[/tex]
Student and woman developer.
7.4% of 25.8%(students), so
[tex]P(A \cap B) = 0.074*0.258 = 0.019092[/tex]
If we encounter a woman developer, what is the probability that she is a student
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326[/tex]
0.0326 = 3.26% probability that she is a student.
Polly has a full 5 kg sack of rice. She pours the rice from this sack into bags. She fills as many bags as possible. Each full bag contains 350 g of rice. How many bags did Polly fill from this sack of rice?
Answer:
Polly used 15 bags to fill this sack of rice.
Step-by-step explanation:
Each kilogram has 1000 grams.
Polly has a full 5 kg sack of rice. Each full bag contains 350 g of rice. How many bags did Polly fill from this sack of rice?
We solve this by rule of three, using proportions.
Each bag has 350g of rice. In all, x bags will have 5kg = 5*1000 = 5000g of rice. So
1 bag - 350g
x bags - 5000g
Applying cross multiplication
[tex]350x = 5000[/tex]
[tex]x = \frac{5000}{350}[/tex]
[tex]x = 14.3[/tex]
Since a decimal part of a bag is not possible, Polly used 15 bags to fill this sack of rice. 14 complete, and the last bag the remaining part.
Use technology to find points and then graph the line y = 5/3x – 1
Answer:
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
y-int = (0, -1)
x-int. = (3/5, 0)
good luck, i hope this helps :)
Find the area of the figure shown below.
10 cm
5 cm
17 cm
Answer:
where is the figure?
Step-by-step explanation:
I can't see a figure
Answer:
10 cm thats answer? sorry im wrong
IF A CUBE HAS VOLUME OF 1,331 MM, WHAT IS THE AREA OF THE BASE OF IT IN SQUARE MILLIMETERS
Find the product of the least common multiple (LCM) of $8$ and $6$ and the greatest common divisor (GCD) of $8$ and $6$. Please help meh. I
The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers. If there is more than one pair, use the "or" button.
Answer:
Step-by-step explanation:
41
Suppose you have a tablet with a capacity of gigabytes. For a plain text book, one byte typically corresponds to one character and an average page consists of 2000 characters. Assume all gigabytes are used for plain text books.
a. How many pages of text can the tablet hold?
b. How many 500 page books can the tablet hold?
Answer:
tablet can hold 500000 pages of text .
tablet can hold 1000 books of 500 pages
Glenis had $5.25 and Samuel had $8.95. How much money did they have
altogether? Find an exact answerand .
1. (a+2)²
2. (a-5)²
3. 3(a+b)
4. (a+2)(a-2)
5. (ab)⁴
6.- 3a(2a + 2b)
7. (2a-3)(a +2)
8. (8a+10b)(8a-10b)
9. (2a-3)³
10.-9a(3a+4b)
Answer:
a² + 4a + 4
Step-by-step explanation:
(a + 2) ² = (a + 2) ( a + 2)
= a ( a + 2) + 2 ( a + 2)
= a² + 2a + 2a + 4
= a² + 4a + 4
huh? sorry idont know the answer
A bag contains 5 yellow, 6 red, and 4 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of green marbles to each outcome. Calculate the expected value of the random variable.
a.0.76 c.0.27 b. 1.07 d. 0.53
Answer:
53
Step-by-step explanation:
help me out please :(?
Answer:
3x2+15x=18
Step 1: Subtract 18 from both sides.
3x2+15x−18=18−18
3x2+15x−18=0
Step 2: Factor left side of equation.
3(x−1)(x+6)=0
Step 3: Set factors equal to 0.
x−1=0 or x+6=0
x=1 or x=−6
Answer:
A
I worked them out myself so if their wrong uh please don't get mad I tried my best.
Step-by-step explanation:
3x (2) + 15x = 18 3x (2) + 15x = 18
6x + 15x = 18 6x + 15x = 18
-6x + -6x = 18 -18 -18
-------------------------- ------------------------
0 + 9x = 18 6x + -3 = 0
------ ------- -3 + -3
18 18 --------------------
x = 2 -3 + 0
X = -3
NEED HELPPPP! This is hard for me to do!
Answer:
a) This expression is simply the average of both of their hours for a full year.
b) Honestly, I'm not sure, but mathematically, its [tex]\frac{Beth's -hours}{Arjun's-hours}[/tex], so the hours cancel out and you get the ratio of their yearly hours? Idek
c) a/12 would be the number of hours Arjun worked per month since there are 12 months in a year.
d) This one is a difference between Arjun's hourly wage to Beth's hourly wage. So, it represents how much more Arjun would have made (Arjun's hourly wage) in comparison to Beth, or vice versa (depending on who worked more hours).
c) Similar to a), this is an average of their yearly income.
Multiplicative inverse of 345
Answer:
-0.00289855.
Find the greatest common factor of the
following monomials:
25x5 20x6
Answer:
1
Step-by-step explanation:
