Which integer is less than –4?
A.
–6
B.
–2
C.
0
D.
3
What is the equation of the line perpendicular to the line y=4/9x-2 that passes through the line 4,3
Given
The line equation is
[tex]y= \frac{4}{9}x-2[/tex]
passes through the line (4,3 )
Find out the equation of the perpendicular line.
To proof
given equation is
[tex]y= \frac{4}{9}x-2[/tex]
the equation of line is in the form y = mx +c
where m = slope
c is the intercept on the y axis.
compare this equation to the above equation
we get
[tex]m =\frac{4}{9}[/tex]
In perpendicular line case
The slope of a perpendicular line is the "negative reciprocal" of the slope of the original line.
thus slope of the perpendicular line
= [tex]\frac{-9}{4}[/tex]
Than equation perpendicular line becomes
[tex]y= \frac{-9}{4}x + c[/tex]
as the line passes through the point( 4,3)
put these value in the above equation
we get
[tex]3= \frac{-9}{4}\times 4 + c[/tex]
solving the above equation
3 +9 =c
12 =c
put this value in the above equation
we get
[tex]y= \frac{-9}{4}\times x + 12[/tex]
this is equation of the perpendicular line.
Hence proved
What is 1,995298 to the nearest 1,0000
Algebra 1: Consecutive Integers
If the sum of the first two consecutive even integers is equal to three times the third what are the three integers
Three equivalent ratio of 36:48
Kofi is one of the best baseball players in his league. His last three pitches have been clocked at 71.025 mph, 72.35 mph, and 71.95 mph. What is the difference between the fastest and slowest pitches that were clocked?
Describe how to write an equivalent ratio for 9/27 without using a multiplication table
Ally works in a shop for $18 per hour dependent
Final answer:
Explanation of independent and dependent variables in a linear equation
Explanation:
Independent variable: The hours worked by Ethan (x).
Dependent variable: Total amount earned (y).
Y-intercept: $25, this represents the initial charge even if no hours are worked.
Slope: $20, this represents the additional amount earned per hour of work.
The question about Ally working in a shop for $18 per hour relates to wage determination and labor economics within the field of Business. Discussions surrounding hourly wages, annual salaries, and job requirements touch upon various economic principles.
Pls help
Simplify
6m+ 7n+ 5m - 3n
2/5 (y-40) = 5 (solve for y)
he earns $7 a week for each cat he feeds and $0.20for each email he answers. Marcus answered 140 emails and earned $49 last week. create an equation that will determine the number of cats he fed
if x = -6, which inequality is true, -5 - 3x > 10, -3 - 5x < -14 or 2-x < -3?
draw a 150 degree angle
apply the rules for order of operstions to simplify 2 + 3 - 4 (5 × 4)
Final answer:
To simplify the expression, follow the order of operations: first perform the multiplication inside the parentheses, then multiply that result, and finally subtract it from the sum of 2 and 3. The expression simplifies to -75.
Explanation:
To simplify the mathematical expression 2 + 3 - 4 (5 × 4) we must apply the rules of order of operations, commonly remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Multiplication inside the parentheses: 5 × 4 = 20
Multiply 4 by the result of the previous step: 4 × 20 = 80
Subtract this result from the sum of 2 and 3: (2 + 3) - 80 = 5 - 80 = -75
Therefore, the expression simplifies to -75.
Remember that in subtraction, you change the sign of the number being subtracted, and then follow the rules of addition: e.g., 5 - 3 becomes 5 + (-3) = 2. Similarly, when two numbers with opposite signs multiply, the result has a negative sign: e.g., (-3) × 2 = -6.
What is 39.39 rounded to the nearest 10th
Write an algebraic expression for each verbal expression
a 7/16 inch bolt is used in a machine . what is the length of the bolt writtin as a decimal?
What is 51/8 as a mixed number?
Discussion Explain why 2 < x < 6 can be considered the short method for writing the AND compound inequality x > 2 AND x < 6.
how can I turn a parabola into an equation? (please be specific)
What’s b = 3x + 9xy ? Solving the equation for x.
Answer:
x= [tex]\frac{b}{3+9y}[/tex] .
Step-by-step explanation:
Given : b = 3x + 9xy.
To find : Solving the equation for x.
Solution : We have given
b = 3x + 9xy.
Taking common 3x from right hand side
b = 3x ( 1 + 3y).
On dividing both sides by 1 + 3y .
[tex]\frac{b}{1+3y}[/tex] = 3x
On dividing both sides by 3
[tex]\frac{b}{(3+9y)}[/tex] = x .
Therefore, x =[tex]\frac{b}{(3+9y)}[/tex] .
x = b/(3 + 9y)
Further explanation[tex]\boxed{ \ b = 3x + 9xy \ }[/tex]
In the equation, there are three variables, namely b, x, and y. The coefficients of x and xy are 3 and 9, respectively.
We need solving for x from the equation.
Let us reposition it by swapping sides. The aim is to prepare x as the subject on the left-hand side.
[tex]\boxed{ \ 3x + 9xy = b \ }[/tex]
On the left-hand side, 3x is pulled out of the brackets because it is the GCF (The Greatest Common Factor) of 3x and 9xy.
[tex]\boxed{ \ 3x(1 + 3y) = b \ }[/tex]
Both sides divided by 3(1 + 3y).
[tex]\boxed{ \ x = \frac{b}{3(1 + 3y)} \ }[/tex]
Hence, the final result is
[tex]\boxed{\boxed{ \ x = \frac{b}{3 + 9y} \ }}[/tex]
That's all the steps to get x as a subject.
Learn moreSolve one of the variables of the equation to become the subject https://brainly.com/question/6465937# The inverse of a function https://brainly.com/question/3225044What is the simplified form of 5(14 - 2)² ÷ 2 ? https://brainly.com/question/1602237Keywords: what’s b = 3x + 9xy?, solving the equation for x, solve for x, both sides, divide, GCF, subject, steps, b/(3 + 9y)
What is 855,000 in scientific notation
After 3.5 hours pasha had traveled to 17 miles if she travels at a constant speed how far will she have traveled after four hours
why is scientific notation useful? how is scientific notation used in the real world?
Eva would like to add paper streamer around the edge of a round table. The table covers an area of 19.5 square ft. What is the minimum length of the paper streamer Eva needs?
567,433 to the nearest hundred thousand
The number 567,433 nearest hundred thousand is 600,000 after rounding off, the answer is 600,000.
What is rounding off the number?Rounding is a technique to reduce a large number to a smaller, more approachable figure which is very similar to the actual. Rounding numbers can be achieved in a variety of ways.
It is given that:
The number is 567,433
600,000
Rounded to the nearest 100,000 or
the Hundred Thousands Place.
Thus, the number 567,433 nearest hundred thousand is 600,000 after rounding off, the answer is 600,000.
Learn more about the rounding off number here:
https://brainly.com/question/13391706
#SPJ2
Write this number in standard form 12 ten thousands, 8 thousands, 14, 7 ones
The number composed of 12 ten thousands, 8 thousands, 14 tens, and 7 ones is written in standard form as 128,147.
To write the number consisting of 12 ten thousands, 8 thousands, 14, and 7 ones in standard form, each element must be placed according to its value in our base-ten number system. First, we note that 14 needs to be broken down into 'tens' and 'ones' as well.
12 ten thousands = 12 times 10,000
8 thousands = 8 times 1,000
14 tens = 14 times 10
7 ones = 7 times 1
Next, we translate these values into their numeral counterparts:
12 ten thousands = 120,000
8 thousands = 8,000
14 tens = 140
7 ones = 7
Now we simply add these numbers together:
120,000 + 8,000 + 140 + 7 = 128,147
The number 12 ten thousands, 8 thousands, 14 tens, and 7 ones written in standard form is 128,147.
if sin q = 4/5, cos p + cos q =?
Divide 28 cans of soda into two groups so the ratio is 3 to 4.
When you write a deposit slip, you put the cash and the checks in the same section True or False