8. Find the equation of a line in slope intercept form that is parallel to the line y = -2x - 3 that goes
through the point (2, 1).
Work:
Answer:
Step-by-step explanation:
Hey there!!
To solve this type of question, use these steps.
Find these 1st equation by using one point formula of point.After this from equation 2 find slope, by comparing it with y= mx + c if it is in slope intercept form. Then, as per the conditions of parallel lines, use m1=m2, then put the value of m1 in equation 1st.Then simplify them.So, let's work with these steps.
Now,
The equation of a st.line passing through point (2,1) is,
[tex](y - y1) = m1(x - x1)[/tex]
Put all values.
[tex](y - 1) = m1(x - 2)[/tex]
It is the 1st equation.
Another equation is,
y = -2x -3.......(ii)
Comparing the equation with y = mx+c.
Therefore, from equation (ii)
m2 = -2
Now, as per condition of parallel lines,
m1=m2= -2
Putting the value of m1 in equation 1st.
[tex](y - 1) = - 2(x - 2)[/tex]
y - 1 = -2x + 4
y = -2x +5.
Therefore, the equation is y = -2x +5.
Hope it helps...
let a and b be positive integers. 23^a x 23^b
Answer:
23 ^ ( a+b)
Step-by-step explanation:
23^a *23^b
Since the bases are the same, we can add the exponents
23 ^ ( a+b)
Answer:
23^(a+b)
Step-by-step explanation:
A^x*A^y = A^(x+y)
you can think of it like this
A^x = A*A*A*.......*A x times
A^y = A*A*A*....*A y times
therefore A^x * A^y = A*A*A*...*A (x+y) times
=A^(x+y),
so in our case A = 23, and x and y were a and b, so 23^a * 23^b = 23^(a+b)
A farmer picks 242 apples on Monday and 118 apples on Tuesday. On Wednesday, she sells 109 of the apples at the market. Which equation can be used to find a, the number of apples the farmer has left? 242 - 118 - 109 = a 242 - 118 + 109 = a 242 + 118 - 109 = a 242 + 118 + 109 = a
Answer:
242 + 118 - 109
Step-by-step explanation:
collected- 360 apples total ( 242 + 118 )
sold- 109 apples
hope this helps you :)
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what is the first layer of the atmosphere in astronaut pass through during the re-entry from space
Answer:
the first layer would be the exosphere.
6) The local bakery made a profit of $210 for each day
for five days. What was the total profit for five days?
Answer:
I need help on that too
Step-by-step explanation:
but i multiplied and got 1,050
evaluate -40 divided by 5
Answer:
-9
Step-by-step explanation:
Since 5 can go into 40 9 times, the answer would be nine, but by following negative rules, since we have an odd amount of negative numbers in this equation, the answer is -9
Answer:-8
Step-by-step explanation:
5 goes into -40 8 times. 5 goes into 45 9 times.
What is the best solutionto this equation?
x+8= -2
A.-10
B.-6
C.6
D.10
Answer:
Step-by-step explanation:
x + 8 = -2
x = -10
the answer is a
-5(k + 6) + 7(k – 4)
Answer:
2k-58
Step-by-step explanation:
-5(k+6) + 7(k-4)
-5k-30+7k-28
2k-48
Which relation is also a function?
Answer:
Step-by-step explanation:
A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to. For example, consider the following sets X and Y.
When we say about relation is a function
The given table relation is not a function
the graph relation is not a function
Given :
A relation is a function when all x values has exactly only one y value .
Each input has only one output for a function .
When x values are repeated then we can say that there is two output .
So that is not a function .
In the given table, we have x=5 repeated twice .
when x=5 there are two outputs [tex]-3 and -2[/tex]
for x=5, there are two outputs.
The given table relation is not a function
Now we consider the graph
When x=2 , there are 2 y values [tex]-3 \; and \; -4[/tex]
So input 2 has two output values
Hence , the graph relation is not a function
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0.00365 in scientific notation
The set of irrational numbers is the set of numbers whose decimal representations are neither (blank) nor (blank).
Answer:
neither terminating nor repeating.
Step-by-step explanation:
The set of irrational numbers is the set of numbers whose decimal representations are neither terminating nor repeating.
What are rational numbers and irrational numbers?Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex]where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Irrational numbers are those real numbers, which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers means, natural numbers are not irrational.
The set of irrational numbers is the set of numbers whose decimal representations are neither terminating nor repeating.
Learn more about numbers here;
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10-4x= -9x
I need help quick
Answer:
x = -2
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
~
First, add 4x to both sides:
10 - 4x (+4x) = -9x (+4x)
10 = -9x + 4x
10 = -5x
Isolate the variable, x. Divide -5 from both sides:
-5x = 10
(-5x)/-5 = (10)/-5
x = 10/-5
x = -2
x = -2 is your answer.
~
What is the value of 5k + m when k = -3 and m = -
-9?
A. -60
B. -30
C.-24
D. -6
Answer:
C. -24
Step-by-step explanation:
[tex]5k + m \\ k = - 3 \\ m = - 9[/tex]
Plug in values into the given equation
[tex]5( - 3) + ( - 9) \\ - 15 - 9 \\ = - 24[/tex]
Answer:
-24 C.
Step-by-step explanation:
I took the test and got it right
y=3x+12 positive or negative
Answer:
x = -4 thus negative
Step-by-step explanation:
Solve for x:
3 x + 12 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 12 from both sides:
3 x + (12 - 12) = -12
Hint: | Look for the difference of two identical terms.
12 - 12 = 0:
3 x = -12
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 3 x = -12 by 3:
(3 x)/3 = (-12)/3
Hint: | Any nonzero number divided by itself is one.
3/3 = 1:
x = (-12)/3
Hint: | In (-12)/3, divide 12 in the numerator by 3 in the denominator.
12/3 = (3×4)/3 = 4:
Answer: x = -4
In survey of 200 game lovers, it was found that 130 like football, 90 like cricket and 20 did not like both games.how many persons were there who liked both games? *
Answer:
There are 10 of them like both games.
Abdul wants to hang a square poster that measure 1 1/2 feet on a side in the center of a 12-foot-long wall. How far from the end of the wall should abdul place the side of the poster?
Answer:
5.25 feets
Step-by-step explanation:
Given the question :
Abdul wants to hang a square poster that measure 1 1/2 feet on a side in the center of a 12-foot-long wall. How far from the end of the wall should abdul place the side of the poster?
Length of one side of Square poster = 1 1/2 Feets = 3/2 feets
Length of wall = 12 feets long
Since Abdul wants the poster to be centered in the wall; then the picture should be placed such that there must be equal space left on either side of the wall after hanging.
Hence, (12/2 - 1 1/2) = (6 - 0.75) feets
= 5.25 feets
Bernie is making monthly payments of $300 for a computer coding course that costs $2,500. He doesn’t need to pay any interest on the cost of the course. He started with $200 in his bank account. He plans to add $100 to his savings account every month. How many months will it take Bernie to pay off the total cost of the course using his savings?
Answer:
i believe it is 5.75 months
Step-by-step explanation:
It would take Bernie 23 months to pay off the total cost of $2500 for the course using his savings
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the amount of money in Bernie account after x months. Hence:
y = 100x + 200
To make $2500:
2500 = 100x + 200
x = 23 months
It would take Bernie 23 months to pay off the total cost of $2500 for the course using his savings
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PLEASE HELP, ITS TIMED HURRY >>>>
Answer:2
Step-by-step explanation:
IM FAST RIGHT???
Answer:
A
Step-by-step explanation:
Hopefully this helps you
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Which equation matches the graph shown?
A.y=(x-2)(x-1)
B.y=-(x-2) (x+1)
c y= -( x+2) ( x*1)
D. y= ( x-2) (x+1)
Answer:
B. v = - (x - 2)(x + 1)Step-by-step explanation:
The parabola opens downward so a<0
zeros are: x₁=-1 and x₂=2, so the factors are:
(x - x₁) = [x - (-1)] = (x + 1)
(x - x₂) = (x - 2)
which gives: - (x + 1)(x - 2)
A ship must be unloaded by two cranes in 12 hours. Both cranes worked for 8 hours and then one of them broke. The rest of the work was done by the other crane in 7 hours. How long would each crane take to do the entire job if it was working alone? Thank you!
Answer:
6 hours
Step-by-step explanation:
8 hours x 2 cranes = 16 hours of total work
After one broke
7 hours x 1 crane = 7 hours of total work
16 + 7 = 23 hours
It would take 23 hours for one crane to do the whole job.
find the area of the figure
Answer:
90 inches squared
Step-by-step explanation:
To do this you would first find the area of the 2 triangles shown on the side so we would do 5 times 2 divided by 2 since that is how we solve this problem so we would get 5 inches squared for the 2 triangles then we would find the area of the square which is 100 since it is a 10 by 10 then you would subtract 5+5 by 100 which is 90 so 90 inches squared would be the answer
Answer:
Your correct answer is 90 sq. in.
Step-by-step explanation:
Find the area of the 2 triangles that are shown on the side.
5 x 2 divided by 2 = 5 sq. in.
Now, find the area of the square
The answer for this is 100 because it is a 10 x 10
Next, subtract
5 + 5 by 100 = 90
For every pound a company spends on advertising it spends £.0.49 on it website express the amount spent on advertising to it website as a ratio in it simplest form
Answer:
1/0.49
Step-by-step explanation:
Every pound = 1 pound
And for every one of this company spends 0.49pound
To express this in a ratio is 1:0.49
Which is also 1/0.49 in fraction.
A ratio tells us how many times a number contains another number. It compares two numbers in relation to each other.
Therefore 1/0.49 expresses the amount spent on advertising as a ratio
seven more than one half a number as an equation
Answer:
1/2x+7
Step-by-step explanation:
2(3x” – 2)-(4x? - 4x)
What is this simplified to?
Answer:
6x-4
Step-by-step explanation:
Let's simplify step-by-step.
2(3x−2)−(4x−4x)
Distribute the Negative Sign:
=2(3x−2)+−1(4x−4x)
=2(3x−2)+−1(4x)+−1(−4x)
=2(3x−2)+−4x+4x
Distribute:
=(2)(3x)+(2)(−2)+−4x+4x
=6x+−4+−4x+4x
Combine Like Terms:
=6x+−4+−4x+4x
=(6x+−4x+4x)+(−4)
=6x+−4
Answer:
=6x−4
At 6 a.m., the temperature was -8°C. By noon, the temperature had risen 6°C. The temperature at 6 p.m. was
-10°C. Which integer represents the temperature change between noon and 6 pm?
-24
-12
-8
-4
Answer:
-8 And I feel bad that no one answered your question
Step-by-step explanation:
Can you guys please help me solve this exercise?
Answer:
45x*9
Step-by-step explanation:
Answer:
Your answer is 45x^9
Step-by-step explanation:
hope this helps!
Please Help Meeeeeeeeeeeee
Answer:
4, -2
Step-by-step explanation:
I used the calculator
HELP!! The side of a square is 3 raised to the 5/2 power inches. Using the area formula A = s squared, determine the area of the square.
Answer:
3^5/2 is 15.5885.
Step-by-step explanation:
This is plug in math! I'd recommend to get a Ti-84 (makes math like this so much easier)
Answer:
243 square inches
Step-by-step explanation:
The area is the square of the side length:
A = s^2
A = (3^(5/2))^2 = 3^(5/2*2) = 3^5 = 243
The area of the square is 243 square inches.
_____
The relevant rule of exponents is ...
(a^b)^c = a^(bc)
HELP ME
Bob's Bagels sells 10 bagels for $11.00, and Donny's Bagels sells 4 bagels for $3.00. Which is the better deal?
Answer the questions to find out.
1. Will the better deal have a lower or higher ratio of dollars per bagel?
Write your answer in the space below.
2. What fractions do you compare to find the better deal?
Write your answer in the space below.
3. Which store has the better deal, Bob's Bagels or Donny's Bagels? Explain.
Write your answer in the space below.
Answer:
4 bagels for $3
Step-by-step explanation:
10 bagels for 11 = 1.10 and 4 bagels for $3 = 0.75
Answer:
i would say the first one because you get 10 bagels for 11 $ because 1.50 cents per bagel
What is this I need help
Answer:
B. No solution
Step-by-step explanation:
[tex]2y-7\left(y+8\right)=1-5y\\\\\mathrm{Expand}\:-7\left(y+8\right):\quad -7y-56\\2y-7y-56=1-5y\\\\\mathrm{Add\:similar\:elements:}\:2y-7y=-5y\\-5y-56=1-5y\\\\\mathrm{Add\:}56\mathrm{\:to\:both\:sides}\\-5y-56+56=1-5y+56\\\\Simplify\\-5y=-5y+57\\\\\mathrm{Add\:}5y\mathrm{\:to\:both\:sides}\\-5y+5y=-5y+57+5y\\\\Simplify\\0=57[/tex]
Answer:
2y-7(y+8)=1-5y ///// y=B
Step-by-step explanation:
the sides are unequal, therefore, y cannot be found