Answer:
Ok so right now that is in standard form (Ax+by=C) and we want to get this into y=mx+b form so that we can easily identify the slope. To do that we need to get y alone by folowing these steps:
9x-3y=81
9x-9x-3y=81-9x (in this step we are just getting rid of the x's from the left side so we can get y alone but since we subtract x from that side we need to subtract the same amount of x's on the other)
-3y=81-9x
-3y/-3=81-9x/-3 (finally to get y alone we need to divide by a -3. This is because any negative number multiplied or divided by another negative will give us a positive. If we divide by 3 then y will be negative which is incorrect. We have to divide by -3 on each side)\
y=81-9x/-3 -----> y=-27+3x ( in this part we have to divide everything on the right side of the equation by -3 as we did on the left side. 81/-3 = -27 and -9x/-3 = +3x.
our new equation is y=-27+3x although the proper form is y=mx+b.
all we need to do now is flip the 3x and -27 for this equation to match y-mx+b form. M in the equation represents the slope of an equation.
y=-27+3x---> y=3x-27
in this equation 3 is m and m represents the slope. For an line to be parralel to one another they must have the same slope. Therefore the slope of a line parallel to that equation is 3.
Step-by-step explanation:
The Slope of a line parallel to the line whose equation is 9x – 3y = 81 is 3.
What is the Slope of a line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
Given that the slope of a line parallel to the line whose equation is
9x – 3y = 81
Reducing the Equation in form of y = mx + c, where m is the slope,
9x - 3y = 81
3y = 9x - 81
y = 3x - 27
Since, two line when parallel have equal slope, so the slope of the given line is 3.
Hence, The Slope of a line parallel to the line whose equation is
9x – 3y = 81 is 3.
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Given Sine (t) = StartFraction 7 Over 25 EndFraction for StartFraction pi Over 2 EndFraction less-than t less-than pi, what is Cosine (t)?
Answer:
Answer is -24/25.
Step-by-step explanation:
Got it right on egde2020
The value of cos (t) is - (24/25), as per the relation between the sine and cosine of an angle.
What is the relation between the sine and cosine of an angle?For any angle 'Ф', the relation between the sine and cosine of an angle is:
sin² (Ф) + cos² (Ф) = 1, when 0 < Ф < (π/2)
Given equation,
sin (t) = (7/25), for (π/2) < t < π
Here, 't' is in the second quadrant.
Therefore, sine is positive here.
However, cosine is negative there.
Therefore, the value of cos (t) is
= - √[1 - sin² (t)]
= - √[1 - (7/25)²]
= - √[1 - (49/625)]
= - √(576/625)
= - (24/25)
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Dawn and Mary work at Great Clips. They each make $11.50 per hour plus tips. Last weekend, Dawn worked x number of hours and earned $125 in tips. Mary worked y number of hours and earned $153 in tips. Dawn determined that using the expression 11.50x + 125 + 11.50y + 153 will calculate the amount the girls earned together last weekend. Select another expression the girls could use.Immersive Reader
Answer:
T=11.50(x +y) + 278Step-by-step explanation:
in this problem we are looking at an alternative expression to the given expression for the total earning which is
Given data
T=11.50x + 125 + 11.50y + 153
let us collect like terms we have
T=11.50x + 11.50y + 153+ 125
T=11.50x + 11.50y +278
we can factor out 11.5 since it is common
T=11.50(x +y) + 278
The alternative expression the girls could use is
T=11.50(x +y) + 278
Which of the following correctly solves this equation? ( − 6 ) 2 − ( 6 ) ( 6 ) = 36 ( − 6 ) ( − 2 ) = 12 ( − 6 ) ( − 6 ) = 36 ( − 6 ) ( − 6 ) = − 36
The correct solution are: ( − 6 ) ( − 2 ) = 12 and ( − 6 ) ( − 6 ) = 36 .
Addition Sign Rules
Here it is important to remember the rules for the addition of integers numbers:
+ + Add Final result (+) - Final result (+)
- - Add Final result (-) - Final result (-)
+ - Subtract - Final result (the sign of the integer having a greater value)
- + Subtract - Final result (the sign of the integer having a greater value)
Multiplication Sign RulesThe rules for multiplication of numbers are:
+ + or - -The result presents a positive sign (+) because the signs are the same.
+ - or - +
The result presents a negative sign (-) because the signs are different.
For solving this question, you should apply the rules presented previously. And after that check, if your result is the same that the question gives.
Option1( − 6 ) 2 − ( 6 ) ( 6 ) = 36
-12 -(36) = -12 -36 = -48 -> It is not the solution given in the exercise because -48 ≠ 36.
Option2( − 6 ) ( − 2 ) =12
12=12 -> It is the solution given in the exercise because 12=12.
Option3( − 6 ) ( − 6 ) = 36
36=36-> It is the solution given in the exercise because 36=36.
Option 4( − 6 ) ( − 6 ) = − 36
36≠ -36 -> It is not the solution given in the exercise because 36 ≠ -36.
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1/8k + 80= 1/2k + 120= ?
I need some help pls
1/8k + 80 = 1/2k + 120
Step 1: Subtract 1/2k from both sides.
1/8k + 80 - 1/2k = 1/2k + 120 - 1/2k
-3/8k + 80 = 120
Step 2: Subtract 80 from both sides.
-3/8k + 80 - 80 = 120 - 80
-3/8k = 40
Step 3: Multiply both sides by 8/(-3).
(8/-3) x (-3/8k) = (8/-3) x (40)
Answer: k = -320/3 or −106.667
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
A. -7m - 8 = m - 4
B. -15m = -4m
C. -8 - 3m = 4 - m
D. -8 - 7m = -4 + m
E. m - 4 = -7m - 8
F. -3m - 8 = 4 - m
plz help will award brainliest
Answer:
After 5 hours.
35 bacteria cells.
Step-by-step explanation:
Andy’s population is represented by [tex]B=6x+5.[/tex]
Samantha’s population is represented by [tex]B=2^x+3[/tex]
Where B represents the total population given the number of hours x.
We want to find at what hour will their population be the same. We are told to use graphing technology.
Graphing them, we will get the graphs below.
Graphically, their population will be the same where the two graphs intersect.
So, we can see that they intersect at (5, 35).
Therefore, after 5 hours, the total number of bacteria cells for both experiments will be the same.
And the total number of bacteria at that time will be 35 bacteria cell.
what is the average speed of a walker who walks 500m in 400 seconds
Answer:
1.25 meters a second
Step-by-step explanation:
Calculator
How would you explain the following problem to a friend who didn't understand today's lesson?
Three angles of a triangle measure 10x+15, 8x+3 ,and 6x–6. Find the measure of the smallest angle.
Answer:
The smallest angle is 6x-6 which is 36°
The sum of the measures of the angles of a triangle equals 180°. Write and solve an equation to find the measure of the missing angle.
Answer:
108.9
Step-by-step explanation:
30.3 + 40.8= 71.1
180 - 71.1= 108.9
The measure of unknown ∠m is equal to 108.9°.
What is triangle inequality theorem?According to the triangle inequality theorem the sum of the length of any two sides will always be greater than the third side. Mathematically -
(a + b) > c
Given is a triangle with its angle measurements.
We know that the sum of the angles of a triangle is equal to 180 degrees.
Therefore, we can write -
∠m + 30.3° + 40.8° = 180°
∠m = 180° - 71.1°
∠m = 108.9°
Therefore, the measure of unknown ∠m is equal to 108.9°.
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3. Eve wants to purchase a game console that costs $165. So far, she has saved $52 and plans to
save an additional $30 per week.
Answer:
If the question is how many weeks will it take to get the remaining 113.
Step-by-step explanation:
Then the answer is almost 4 weeks. 3 and 2/3 weeks.
if h(x)=3x + 4 , what is h(2x-3)
Answer:
h(2x-3) = 6X - 5
Step-by-step explanation:
So, the required function is [tex]h(2x-3)=6x-5[/tex]
Mapping:
A mapping diagram is an image of two circles that shows the relationship between the input and output values.
Given function is,
[tex]h(x)=3x + 4[/tex]
Now, applying the given transformation into the given function
[tex]h(2x-3)=3(2x-3)+4\\h(2x-3)=6x-9+4\\h(2x-3)=6x-5[/tex]
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Use the formula an = d (n − 1) + aj to write a formula for the arithmetic sequence below.
2, 6, 10, 14, 18,
Answer:
[tex]a_{n}[/tex] = 4n - 2
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence, that is
6 - 2 = 10 - 6 = 14 - 10 = 18 - 14 = 4
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 4 , thus
[tex]a_{n}[/tex] = 2 + 4(n - 1) = 2 + 4n - 4 = 4n - 2
what is the answer for
2s-8=2(s-2)
Answer:
No Solutions
Step-by-step explanation:
Equation:
2s - 8 = 2(s - 2)
2s - 8 = 2s - 4
2s = 2s + 4
No Solutions
say we have ratios and i have to determine which one does not belong
12 : 18 2 to 3 6/9 18 : 21
so the ratio that does not belong is?
Answer:
18:21
Step-by-step explanation:
If you divide all of the ratios (12 divided by 18, etc) they all equal 0.66.. besides 18:21
Hope this helps!
Help please..........
Answer:
no solution
Step-by-step explanation:
if you solve for x then you get x-x which leads you to -6=0 that is no true and undefined
x-6=x
answer
x=6
why? pag nilipag mo yung negative 6 sa kanan . magiging positive sign na sya
Helpppppp it’s middle school stuff
Answer: Melendez
Step-by-step explanation:
If you divide the amount of water each family uses by the ammountof people in the family, melendez has the lowest per person.
A particular plant root grows 1.5 inches per moth. how many centimeters is the plat root grow per month?
A. 0.59 centimeters
B. 1.69 centimerters
C. 3.81 centimeters
D. 4.04 centimeters
PLEASE ANSWER!!!!!
????????????????????
Answer:
what do you not understand
Multiply (10 + 2-8)(110 - 2-18)
A) -22
B)-246
C)10-8suqareroot2
D)10+8suqareroot2
Answer:
First Option (A) -22
Step-by-step explanation:
Answer:
a) 22
Step-by-step explanation:
just took it on edge
second problem is c!
For the function H(t) = 3t - 5
Find when H(t) = 46
Answer:
t = 17
Step-by-step explanation:
Plug in 46 for H(t) into the above equation and solve for t.
46 = 3t - 5 (add 5 to both sides)
51 = 3t (divide both sides by 3 to isolate t)
17 = t or t = 17
what are the fractions that add up to 1
help plzz i will give u brainliest
Answer:
Things like:
2/9 + 7/9 = 9/9 = 1
3/4 + 1/4 = 4/4 = 1
If the number is the same for the numerator and denominator it adds up to 1.
More examples:
6/10 + 4/10 = 10/10 = 1
9/15 + 6/15 = 15/15 = 1
Can anyone help me identifying pounds and liters ;-;
Answer:
sure but can u help me ban 50070356 he or she is using my pfp as hers
Step-by-step explanation:
can someone help please ASAP?????????????
Answer:
B
Step-by-step explanation:
they are real numbers that are greater than 0 but less than 4
The graph of a function is shown below 8 Which inequality represents the domain of the function?
10x + 1 + 12x - 5 = 180 Find x
Answer:
x = 92/11
Step-by-step explanation:
10x + 1 + 12x - 5 = 180
*group the like terms*
(10x + 12x) + (1-5) = 180
*simplify*
22x - 4 = 180
*add four on both sides to cancel out -4*
+4. +4
*simplify*
22x = 184
*divide both sides by 22 to cancel out the quantity and solve for x*
÷22 ÷22
*simplify*
x = 92/11
Answer:
x = 92/11, x = 8.36 repeating the .36, or x = 8 4/11
Step-by-step explanation:
-15=10x-40x
what does x equal to
Answer:
0.5
Step-by-step explanation:
-15=-30x
-15/-30=0.5
there are 15 male teachers in the school. there are 35 female teachers in the school
Answer:
There are total 50 teachers, 30% are male, 70% are female
Step-by-step explanation:
There is no specific question, but I just put the percentage of each gender teacher. Hope this is the question you were trying to find!
a number x increased by 10 is 102
Answer:
x = 10.2
Step-by-step explanation:
10.2 × 10 = 102...
Answer:
x+10=102
Step-by-step explanation:
the word "increased" signifies addition because of the value getting larger. the word "is" indicates an equal sign. therefore, the equation is x+10=102
Dana invited 35 people to a party. Bottled soda comes in packages of 6 bottles. How many packages must Dana buy to have enough soda for each guest to have 1 bottle?
HELP. Type the correct exponet 1/10,00= 10(?)
Answer:
100
Step-by-step explanation: