keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]12x-9y = 27\implies -9y=-12x+27\implies y=\cfrac{-12x+27}{-9} \\\\\\ y=\cfrac{-12x}{-9}+\cfrac{27}{-9}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{3}}x-3\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
therefore
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{4}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{4}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{4}}}[/tex]
solve for
7c+5=9(c−3)
Answer:
c = 16
Step-by-step explanation:
First, distribute the 9 to the parentheses:
7c + 5 = 9(c − 3)
7c + 5 = 9c - 27
Then, subtract 7c from both sides:
5 = 2c - 27
Add 27 to both sides:
32 = 2c
Divide each side by 2:
16 = c
So, c = 16
Find the difference. Write your answer in simplest form:
4 7/9 -2 2/3
2 1/9 is the answer
the latex didn't workk
Answer:
i think the answer is 2.11
Step-by-step explanation:
please help please help
Answer:
răspuns corect 2
Step-by-step explanation:
dami coroana te rog
1/3(y+7)=3(y−1)
Solve for y
Answer:
2
Step-by-step explanation:
multiplying each number by 1/3 gives
1/3y+7/3= 3y-3
3y-1/3y=7/3+3
8/3y=16/3
y=16/3÷8/3
y=16/3×3/8
y=2
The solution of the equation 1/3(y+7)=3(y−1) will be ; y = 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the equation is 1/3(y+7)=3(y−1)
First, multiplying each number by 1/3 gives;
1/3y+7/3= 3y-3
3y-1/3y=7/3+3
8/3y=16/3
Cross multiplication;
y=16/3÷8/3
y=16/3×3/8
y=2
Therefore, the solution of the equation 1/3(y+7)=3(y−1) will be ; y = 2
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
Jane bought a poster that had a length of 2 1/3 feet and a width of 3/4 feet. What is the perimeter of her poster?3 1/15 feet1 3/4 feet6 1/8 feet6 1/8 square feet
Answer:
1 1/6
Step-by-step explanation:
We are given the length and width of the poster board. The perimeter of an object is the sum of all four sides.If it helps, picture a rectangle. The length, or the long side, is 2 1/3 feet long. Since both of the rectangle's long sides would be identical, we can assume both sides are 2 1/3 feet long.This also applies to the short side, or the width. Both ends of the poster board would be 3/4 feet long.To find the perimeter, you need to add all four sides together. I assume this is the tricky part for you, as you are not sure how to add fractions yet.First, let's add the two long sides together. 2 1/3 + 2 1/3 would equal 4 2/3. How did I get this? Well, 2 + 2 = 4 (you add the number outside of the fraction first). To add fractions, you look to see if the bottom of the fraction, or the denominator, is the same. As 1/3 and 1/3 have the same denominator, you can leave the 3 alone and only add the top, giving us 2/3.Duplicate this process with the width. 3/4 + 3/4 would give us 6/4. How do we reduce this? We turn it into what is called a mixed number. This means that there will be a big number on the outside, then a fraction attached to it. How do we turn this improper fraction, or a fraction where the top is greater than the bottom, into a mixed number?A fraction can also be interpreted as a division problem. You can look at 6/4 as 6 ÷ 4. Four goes into 6 one time, with 2 left over (6 - 4 = 2). We take how many times four goes into 6 (once) and use that as our big number. All we have to do now is take our leftover number (2) and turn it into a fraction. How? We use 4 as our bottom, or denominator, because it is left over from how many times 4 goes into 6. In conclusion, our mixed number is 1 2/4. Reduced, this is 1 1/2, because 2/4 cut in half is 1/2.So now we have two numbers. 4 2/3 and 1 1/2. How do we add these together if their denominators are different? 2/3 and 1/2 are not compatible by themselves. Well, we need to find a number that both 3 and 2 go into. This number would be 6. But we can't just turn 2/3 into 2/6, we need to multiply the bottom by a number that would make it six, and multiply the top by the same number. 2 • 3 = 6 (from 2/3) so we multiply the top by 2 also. This gets us 4/6. Don't forget the big 4 on the outside to get us 4 4/6!We do the same to the other mixed number, 1 1/2. Half of 6 is 3, so we can turn 1/2 into 3/6, then we make sure our big 1 is on the outside. Now we can add 1 3/6 to 4 4/6!First, add 1 and 4 by itself to get us 5. Then, you can add the fractions 3/6 and 4/6 (don't add the bottom, just the top!) to get 7/6. To reduce this, we divide 7 by 6 to get us 1 1/6!If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Find the difference: 0.350 - 0.028
Pls?
Answer:
0.322
Step-by-step explanation:
0.350 - 0.028
The answer would be 0.322
Hope this helps
At what rate percent per annum will the simple interest on Rs 15000 be Rs 3000 in ? 2 1/2 years
Answer:
Rate=8%
Step-by-step explanation:
Step 1: Write the given terms
Principal (p)=Rs15000
Rate(r)=?
Time(t)=2 1/2=5/2=2.5
Interest(i)=Rs3000
Step 2: Write the formula for calculating Simple interest
[tex]i = \frac{p \times r \times t}{100} [/tex]
Step 3: Make Rate(r) the subject of the equation in Step 2
[tex]by \: cross \: multiplcation \\ 100i = prt \\ divide \: both \: sides \: by \: pt \: to \: have \\ \frac{100i}{pt} = r[/tex]
Step 4: Use the new equation for r to get the rate by substitution
[tex]r = \frac{100i}{pt} \\ r = \frac{100 \times 3000}{15000 \times 2.5} \\ r = \frac{300000}{37500} \\ r = 8[/tex]
Hence, the rate of the simple interest is 8%
If two sides in one triangle are 9 and 21 , then the third side might be
a) 9
b) 11
c) 12
d) 13
please explain how you got the answer in details I'm completely lost
Answer:
13
Step-by-step explanation:
there is a rule that says that if you add any 2 sides, it should be more than the third. 9+21 is greater than 13. 21+13 is greater than 9. 13 is the only number which if you add 9 to it it will be greater than 21. 12 will equal 21, but it still wont work.
hope this helps :))
I'm having some problems with my work, could some work
Answer:
Sorry but I can't understand what you are trying to say...
Which inequality describes all the solutions to 4(3 - x) < -2x + 8? please help!
Answer:
X > 2
Step-by-step explanation:
Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data. A 3-row table with 10 columns. The first row is labeled essay rank with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The second row is labeled essay score with entries 9.7, 9.5, 9.5, 9.0, 8.9, 8.9, 8.5, 8.4, 8.2, 7.0. The third row is labeled word count with entries 324, 352, 337, 318, 299, 304, 290, 291, 278, 250. How does the word count of an essay relate to its score in the contest? Word count tends to decrease as the score decreases. Word count tends to increase as the score decreases. Word count tends to remain constant as the score decreases. Word count has no apparent relationship to the score of the essay.
Analyzing the table, it is found that:
Word count tends to decrease as the score decreases.
------------------------------------
To solve this question, we need to look at the table, where the essays are ranked.
The first four ranked essays have all above 300 words.Of the last four ranked essays, none have above 300 words.From this, it can be said that yes, there is a relation, as the word count tends to decrease as the score decreases.
A similar question is given at https://brainly.com/question/24258409
Answer:
A. Word count tends to decrease as the score decreases.
Step-by-step explanation:
edge2021
A situation arises in which I am able to split $100 with you if we both agree to the split. If we do not both agree, nobody gets any money. The catch is I get to decide what the split is going to be before we make our decision. I tell you, the split will be Mr. Wright getting $99 and you only getting $1. Are you going to agree to the split or nah? Why did you choose the decision you made? Do you think your decision is rational or logical? Why or why not?
Answer:
No, I would not take that because it is rational and it will not evenly split within all of the people.
Step-by-step explanation:
If Mr. Wright is getting 99% of the money, and you get 1%, would you take it?
What perfect square falls between 177 and 217?
Answer:
Step-by-step explanation:
196 = 14 x 14
i need help with this answer it says 6x = 30.
Answer:
x = 5
Step-by-step explanation:
30 divided by 6 equals x
30/6 = 5
so x = 5
Answer:
X= 5
Step-by-step explanation:
6x=30
or, x=30/6
Therefore, x=5
Ill give brainliest. Please help.
Answers are
A: 16.09 %
B: 0.65
C: Those who like Hamburgers but not burritos.
Step-by-step explanation:
Like Hamburgers ↓ Does Not Like Hamburgers↓ Total↓
Likes burritos → 39 38 77
Does not like burritos → 95 33 128
Total → 134 71 205
So, according to the above table, a total of 77 customers like burritos, out of which 38 do not like hamburgers, hence, the remaining 39 like Hamburgers.A total of 128 customers do not like burritos, out of which 95 do like hamburgers, hence, the remaining 33 do not like Hamburgers.A total of 134 customers like hamburgers, but 71 do not like it, hence, the total respondents are 205.Part A: The percent of respondents who do not like hamburgers and burritos both
There are 33 such respondents.
Hence, percentage 33/205 * 100 = 16.09%
Part B: Marginal relative frequency of all customers that like hamburgers
It will be the ratio of the sum of the customers that like hamburgers to the total number of respondents
Hence, ratio 134/205 = 0.65
Part C: The data point that has the strongest association of its two factors.
For this, we need to find the ratio of all the four data with the total.
Those who like Hamburgers and burritos: 39/134 = 0.29
Those who like Hamburgers but not burritos: 95/134 = 0.71
Those who like burritos but not Hamburgers: 38/71 = 0.53
Those who do not like burritos or Hamburgers: 33/71 = 0.47
So, the answer is those who like Hamburgers but not burritos.
What is the equation of the line that passes through the point (-6,4) and has a
slope of o?
Answer:
[tex]y=0x+4[/tex]
Step-by-step explanation:
Given the following question:
Point A = (-6, 4) = (x, y)
Slope = 0
To find the equation of the line we are going to use the slope intercept form y = mx + b, substitute the values in for the variables and then solve for b to have our answer.
[tex]y=mx+b[/tex]
[tex]y=4[/tex]
[tex]m=0[/tex]
[tex]x=-6[/tex]
[tex]4=0(-6)+b[/tex]
[tex]0\times-6=0[/tex]
[tex]4=0+b[/tex]
[tex]4+0=4[/tex]
[tex]4=b[/tex]
[tex]b=4[/tex]
[tex]y=0x+4[/tex]
The equation of the line is "y = 0x + 4."
Hope this helps.
Answer:
y = 4
Step-by-step explanation:
Given :-
passes through the point (-6, 4)slope = 0To Find :-
equation of lineSlope :-
We know coordinates of y-intercept are : (0, b)Using point-slope form,b - 4 = 0(0 + 6)b - 4 = 0b = 4Substitution
Using the slope-intercept form,y = mx + by = 0x + 4y = 4Which decimal is greater than 3.18?
A) 3.08
B) 3.32
C) 3.12
D) 2.88
Answer:
hello
3.32 > 3.18
Step-by-step explanation:
Jalene learned a total of 6 appetizer recipes over the course of 2 weeks of points
culinary school. After how many weeks of culinary school will Jalene know
a total of 15 appetizer recipes?
Answer:
The answer is 4 and a 1/2 weeks
Answer:
4 1/2
Step-by-step explanation:
Cuanto es 96705 dividido 89
Answer:
hui
Step-by-step explanation:
please help me with this answer
Answer:
-5, -1, 3 is the answer
Step-by-step explanation:
Range is the numbers vertical hope this helps!:)
What is the solution to the system of linear equations?
2x + y = 7
x - 2y = 16
Answer:
Step-by-step explanation:
Reform the first equation: y = 7 - 2x; y = -2x + 7Reform the second equation: -2y = -x + 16; y = 0.5x + 8Equate: -2x + 7 = 0.5x + 8; -4x + 14 = x + 16; -3x + 14 = 16; -3x = 2; x = -[tex]\frac{2}{3}[/tex]Calculate y: y = -2 * - 2/3 + 7 = 4/3 + 7; y = [tex]\frac{25}{3}[/tex]Define S([tex]-\frac{2}{3} ; \frac{25}{3}[/tex])yo simple question what would _ x _ = 144 if you squared 144
Answer:
12
Step-by-step explanation:
I just looked at this way 12 * 12 = 144.
Ms. Sampson wanted to take her whole class of 34 students to a baseball game that costs $27 per ticket.
How much did she spend on the students' tickets?
Answer:
918
Step-by-step explanation:
34 students multiplied by $27 each
34×27=918
Bonnie deposits $180 in a savings account that earns simple interest at an annual rate of 3%. How much interest does her account earn after 10 years?
Answer: $54.00
Explanation: Three percent of $180.00 is $5.40. So Bonnie receives $5.40 annually. In ten years, she will have $54 (multiply 5.40 by 10).
Find the area of each figure shown. Use the key. Round to the nearest tenth, if necessary.
Answer:
To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
Step-by-step explanation:
Please help meee with number ten plzzzzzz!!!!
Answer:
b=30
Step-by-step explanation:
Answer:
b = 30
I hope this helps!
What is the equation of the line that passes through the point (5,8) and has a slope
of 3/5?
Answer:
[tex]y=\frac{3}{5}x+5[/tex]
Step-by-step explanation:
The equation for a line in slope-intercept form is:
[tex]y=mx+b[/tex]
Let's go through what each variable represents:
"y": y-coordinate for any point on the line
"m": slope of the line
"x": x-coordinate for any point on the line
"b": y-intercept (where the line intercepts the y-axis; represented by only the y-coordinate since the x-coordinate is 0)
Given:
Slope = 3/5
Passes through point (5, 8) --> x = 5, y = 8
Find:
y-intercept
We have determined what the question has given us, and what we need to find. Now, we can substitute the given values into the equation:
[tex]y=mx+b\\8=\frac{3}{5}(5)+b\\8=\frac{15}{5}+b\\8=3+b\\$Subtract 3 from both sides\\$b=5[/tex]
Therefore the equation of the line is:
[tex]y=\frac{3}{5}x+5[/tex]
Given a geometric sequence with a1=5 and a4=135 find a2.
Answer:
15
Step-by-step explanation:
Terms in a geometric series that are n apart will have a ratio that is r^n. Here we have terms a4 and a1, which are 4-1=3 apart, so their ratio is ...
a4/a1 = 135/5 = 27 = r^3
r = ∛27 = 3
The second term is the first, multiplied by this common ratio:
a2 = a1·r = 3(5)
a2 = 15
50 POINTS FOR CORRECT AWNSER!
Answer:
[tex]y < -3x[/tex]
Step-by-step explanation:
Choose 2 points on the line: (0, 0) and (1, -3)
Let [tex]\sf (x_1,y_1)=(0,0)[/tex]Let [tex]\sf (x_2,y_2)=(1,-3)[/tex][tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-3-0}{1-0}=-3[/tex]
point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=-3(x-0)[/tex]
[tex]\implies \sf y=-3x[/tex]
Solid line : ≤ or ≥
Dashed line: < or >
Therefore as the line is dashed, and the shading is below the line,
[tex]\implies \sf y < -3x[/tex]
Slope:-
[tex]\\ \tt\Rrightarrow m=\dfrac{6-3}{-2+1}=\dfrac{-3}[/tex]
Equation of line in point slope form
[tex]\\ \tt\Rrightarrow y-3=-3(x+1)[/tex]
[tex]\\ \tt\Rrightarrow y=-3x[/tex]
Equation of the shaded region
[tex]\\ \tt\Rrightarrow y<-3x[/tex]
1. Below are four sequences. Which of them represent an arithmetic sequence?
1.8, 12, 14, 15, ...
11. 2, 4, 8, 16 ...
III. 5, 5, 5, 5...
IV. -101,-99, -97, -95, ---
A. II only
B. IV only
C. I and III
D. II and IV