Find the equation of the line. A line that is perpendicular to the graph of 3x +2y =6 and contains the point (6,-3)
Answers
9514 1404 393
Answer:
2x -3y = 21
Step-by-step explanation:
The perpendicular line will have an equation with the x- and y-coefficients swapped and one of them negated. The constant will be the value that makes the equation true at the given point.
3x +2y = 6 . . . . . given equation
2x -3y = c . . . . . . coefficients swapped, one negated
2(6) -3(-3) = c = 21 . . . . . the value of c for the given point
The desired equation is ...
2x -3y = 21
Related Questions
what is 5 +10 - 20 x 4
Answers
Answer:
-65 is the right answerrr
The table shows the cost of taking a rideshare trip. Which description correctly reflects the way the charges are calculated?
A)
The ride requires a $14 initial fee, plus 50 cents per mile driven
B
The ride requires a $14 initial fee, plus 51.90 per mile driven
The ride requires a $14 Initial fee, plus 52.15 per mile driven
D
The ride requires a 514 initial fee, plus 52.50 per mile driven
Answers
The table is an illustration of a linear function.
The description of the charges is: A) The ride requires a $14 initial fee, plus 50 cents per mile driven
The base fee is the charges, when the number of miles is 0
From the table;
y = $14, when x = 0
So, the base fee is $14
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex]m = \frac{16.5 - 14}{5-0}[/tex]
[tex]m = \frac{2.5}{5}[/tex]
[tex]m = 0.5[/tex]
The above means that:
The cost per mile is $0.5 (i.e. 50 cents)
Hence, the description of the charges is: A) The ride requires a $14 initial fee, plus 50 cents per mile driven
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$153250 to the nearest 10000
Answers
Mia has 12 boxes of cookies. Each box contains 36 cookies. She has another 258 cookies in the pantry. How many cookies does she have in all?
690
696
960
966
Answers
Answer:
A) 690
Step-by-step explanation:
12x36 + 258 = 690
please help me with this sum
20 - 3 x 6 + 8 =
Answers
Answer:
10
Step-by-step explanation:
Use the PEMDAS rule.
20 - 3 * 6 + 8
= 20 - 18 + 8
= 20 - 10
= 10
When we carry out the operation 20 - 3 × 6 + 8 the result obrained is 10
What is BODMAS?The meaning of BODMAS is given below:
B => BracketO => Of D => DivisionM => MultiplicationA => AdditionS => SubtractionThe above pattern tells us exactly what sign to carry out 1st when we have more than one signs in an expression.
How to determine 20 - 3 × 6 + 820 - 3 × 6 + 8
Carry out multiplication
20 - 18 + 8
Carry out addition
20 - 10
Carry out subtraction
10
Thus,
20 - 3 × 6 + 8 = 10
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A flagpole casts a 32 ft. Shadow. A boy who is six feet tall is standing near the flagpole casting a 16 ft. Shadow. How tall is the flagpole?
Answers
Answer:
The flagpole is 12 feet
Step-by-step explanation:
The boy's shadow is half of the flagpole's shadow. So the flagpole is 2 times as much as 6 ft because the boy is six feet. 6 x 2 = 12. So the final answer is 12 ft.
what is the average of 2 1/3 and 3 1/2
Answers
Answer:
2 11/12
Step-by-step explanation:
The average of 2 ⅓ and 3 ½ is 2 11⁄12. To find the average, find the sum of the fractions and divide by 2.
2 ⅓ + 3 ½ = 7⁄3 + 7⁄2 = 14⁄6 + 21⁄6 = 35⁄6 or 5 5⁄6
5 5⁄6 ÷ 2 = 35⁄6 × 1⁄2 = 35⁄12 or 2 11⁄12
The average of 2⅓ and 3½ is 2 11/12
2⅓ + 3½ = 7/3 + 7/2 = 14/6 + 21/6 = 35/6 or 5/6
5 5/6 ÷ 2 = 35/6 × 1/2 = 35/12 or 2 11/12
Finding the Average
Average refers to the sum of the values divided by the count. Therefore, the steps to follow to find the average are below:
Add the given values.
Divide the sum by the count of values.
Equation:
(2 1/3 + 3 1/2) / 2 = ?
Solution:
(2 1/3 + 3 1/2) / 2 = ?
* Change the mixed numbers to improper fractions.
= (7/3 + 7/2) / 2
* Add the fractions. Find the LCD.
= (14/6 + 21/6) / 2
= ( 35/6 ) /2
To divide change the sign to multiplication, The give the reciprocal of the second fraction
= 35/6 × 1/2
= 35/12 or 2 11/12
Final Answer:2 11/12
hope it helps youThank You !!Whats the answer to this question? ( Branliest )
Answers
Answer:
50
Step-by-step explanation:
p = 8
q = 6
p / 4
= 8 / 4
= 2
pq
= 8 x 6
= 48
p / 4 + pq
= 2 + 48
= 50
50
Hope this helped you- have a good day bro cya)
A satellite flies 87100 miles in 16.75 hours, How long would it take to fly 104520
miles?
Answers
Answer:
22.41
Step-by-step explanation:
Set up a proportion where x is the time to fly 174798 miles
Cross multiply and solve for x:
118404x = 2653433.64
x = 22.41
So, it would take 22.41 hours to fly 174798 miles
Find an angle between 0 and 2 that is coterminal with the given angle.
Answers
Answer:
40degres
Step-by-step explanation:
Anyone know ?????? I kind of need help rn
Answers
Answer:
2.45 anytime
Step-by-step explanation:
the average of 2.4 and 2.5 = (2.4+2.5)/2=4.9/2=2.45
Answer:
2.45
Step-by-step explanation:
(2.4+2.5) / 2
Which is 3,200 divided by 40?
A.
6
B.
8
C.
60
D.
80
Answers
Answer:
80
Step-by-step explanation:
40 x 80 = 3200
The solution of the expression is, 80
We have to give that,
3200 divided by 40.
Now, Divide the numbers as,
⇒ 3200 ÷ 40
⇒ 3200 / 40
⇒ 320/4
⇒ 80
So, The solution after dividing is, 80
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A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.
Each minute, the faucet allows 14 2/3 gallons of water to enter the pool, and the drain allows 16 3/4 gallons to leave the pool.
What is the change in the amount of water in the pool after 1 1/2 minutes?
Enter your answer as a simplified mixed number by filling in the boxes.
Answers
Answer:
-3 1/8 Gallons
Step-by-step explanation:
First, you need to understand how many gallons are being lost per minute.
14 2/3 - 16 3/4 =1 1/12
After this, you just need to multiply 1 1/12 by 1 1/2. This amounts to 3 1/8.
There's your answer!
Answer:
the other guy who answered is correct aswell.
The answer is - 3 1/8
need proof? here ya go-
Determine whether or not the points A(4,7), B(-5, -4), and C(5,2) form a right triangle.
Is the triangle a right triangle?
Answers
Answer:
Step-by-step explanation:
No, there would have to be two point that have identical x coordinates
Can someone help……….
Answers
(Write your answers on the space provided) The World Health Organization (WHO) reported that about 16 million adolescent girls between 15 and 19 years of age give birth each year. Knowing the adverse effects of adolescent childbearing on the health of the mothers as well as their infants, a group of students from Magiting High School volunteered to help the government in its campaign for the prevention of early pregnancy by giving lectures to 7 Barangays about the WHO guidelines on teenage pregnancy. The group started in Barangay 1 and 4 girls attended the lecture. Girls from other barangays heard about it, so 8 girls attended from Barangay 2, 16 from Barangay 3, and so on. a. Make a table representing the number of adolescent girls who attended the lecture from Barangay 1 to Barangay 7 assuming that the number of attendees doubles each Barangay 4 3 5 6 2 7 1 Barangay Number of Attendees b. Form a sequence representing the number of adolescent girls who attended the lecture from Barangay 1 to Barangay 7. C. Because people who heard about the lecture given by the group thought that it would be beneficial to them, five more different barangays requested the group to do the lectures for them. If the number of young girls who will listen to the lecture from these five Barangays will increase in the same manner as that of the first 7 Barangays, determine the total number of girls who will benefit from the lecture.
Answers
The sequence of the number of girl attendees at each Barangay is nonzero, given by multiplying the number of attendees in the previous Barangay by 2
The required values are;
a. The completed table is presented as follows;
[tex]\underline{\begin{array}{|l|c|c|c|c|c|c|c|}\mathbf{Barangay}&1&2&3&4&5&6&7\\\mathbf{Number \ of \ attandees}&4&8&16&32&64&128&256\end{array}}[/tex]
b. The sequence of the number of girls attendees aₙ = 4×2⁽ⁿ⁻¹⁾
c. The sum of beneficiaries of the lecture from the twelve Barangay is 16,384 girls
Reason:
Known parameters are;
Number of girls that attended the lecture at Barangay 1 = 4 girls
Number of girls that attended from Barangay 2 = 8 girls
Number that attended from Barangay 3 = 16 girls
a. The required table with the assumption that the number of girls that attended at each Barangay from Barangay 1 to Barangay 7 doubles, is presented as follows;
[tex]\begin{array}{|l|c|c|c|c|c|c|c|}Barangay&1&2&3&4&5&6&7\\Number \ of \ attandees&4&8&16&32&64&128&256\end{array}[/tex]b. The sequence of the number of girls who attended the lecture from Barangay 1 to Barangay 7 is presented as follows;
The sequence is a geometric progression having the form, aₙ = a·r⁽ⁿ⁻¹⁾
The first term of the sequence, a = 4
The common ratio, r = 2 (each term is twice the previous term)
n = The number of terms
The sequence is therefore;
aₙ = 4·2⁽ⁿ ⁻ ¹⁾c. The total number of girls in the geometric progression, (G. P.) is given by the sum of a G. P. as follows
[tex]S_n = \dfrac{a \cdot (r^n - 1 )}{r - 1}[/tex]
Where;
n = The number of terms = 7 + 5 = 12
Which gives;
[tex]S_{12} = \dfrac{4 \times (2^{12} - 1 )}{2 - 1} = \dfrac{4 \times 4,096 }{1} = 16,384[/tex]The total number of girls who will benefit from the lectures, S₁₂ = 16,384 girls
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Express the relation below as a set of order pairs
Answers
(-3,9) (1, 1)
Step-by-step explanation:
One dozen eggs equals 12 eggs. How many dozens of eggs equals 1,896 eggs?
A.133 dozen eggs
B. 158 dozen eggs
C.158 dozen eggs
D. 696 dozen eggs
Answers
Answer: B: 158 dozen eggs
Step-by-step explanation:
If one dozen eggs is 12, and you need to know how many groups of 12 go into 1896, all you need to do is divide 1896 by 12 to get 158. I hope this helps!
Answer:
C
Step-by-step explanation:
Divide 1896 by 12 and you get 158
Directions: Use the information in the charts to answer the questions. Type of Fruit Cost Estimated Cost apple $1.75/pound 8.75 orange $2.35/pound 9.40 banana $1.50/pound 4.50 Annie bought 5 pounds of apples, 4 pounds of oranges, and three pounds of bananas. a. Round the prices to the nearest whole dollar to estimate how much money she spent. b. How much money did Annie actually spend? Write a numerical expression to represent the amount of money that Annie spent. Was your estimation an overestimation or underestimation? Why do you think that might be?
Answers
Estimates are used to make prediction about an actual value
Annie estimated spending $52Annie actually spent $48.25Your estimation is an overestimationThe chart is given as:
Fruit Cost Estimated
Apple $1.75/pound 8.75
Orange $2.35/pound 9.40
Banana $1.50/pound 4.50
The number of pounds of each fruit Annie bought are:
[tex]Apples= 5[/tex]
[tex]Orange = 4[/tex]
[tex]Banana = 3[/tex]
(a) The estimated amount
To do this, we make use of the estimated column.
So, we have:
[tex]Estimated = \sum Cost \times Pounds[/tex]
[tex]Estimated =1.75*5+8.75*4+1.50*3[/tex]
Approximate the prices
[tex]Estimated =2*5+9*4+2*3[/tex]
[tex]Estimated =52[/tex]
Hence, Annie estimated spending $52
(b) The actual amount spent
To do this, we make use of the cost column.
So, we have:
[tex]Actual = \sum Cost \times Pounds[/tex]
[tex]Actual =1.75*5+8.75*4+1.50*3[/tex]
[tex]Actual =48.25[/tex]
Hence, Annie actually spent $48.25
(c) The decision
By comparison, the estimated spending is greater than the actual amount spent.
Hence, your estimation is an overestimation
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Simplify fraction 17/51=
Answers
Answer:
17/51 simplified in lowest terms is 1/3
Step-by-step explanation:
Answer:
Exact from: 1/3
Decimal form: 0.3
So I Reduce the expression, if possible, by cancelling the common factors and simplify 17/51
Jacob said the product of 89 and 234 is 314.
How can you tell that his answer is wrong?
Answers
The product of 89 and 234 is 20826, not 314.
How to infer the correctness of a product
The multiplication of two positive integers equals another positive integer. Each term of a multiplication can be rewritten as sums of multiples of 10, which can be simplified by algebra:
[tex]89 \times 234[/tex] Given[tex](80 + 9) \times (200+30+4)[/tex] Definition of decimal numbers[tex](80 + 9)\times 200 + (80 + 9)\times 30 + (80+9)\times 4[/tex] Distributive property[tex]80\times 200 + 9\times 200 + 80\times 30 + 9\times 30 + 80 \times 4 + 9\times 4[/tex] Distributive property[tex]16000 + 1800 + 2400 + 270 + 320 +36[/tex] Definition of multiplication[tex]20826[/tex] Definition of addition/ResultBased on real algebra properties, we know that the product of 89 and 234 is 20826, not 314. [tex]\blacksquare[/tex]
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Kim bought a blouse for $17.16, a skirt for $28.19, and a purse for $35.14. The sales tax was 12%. If she hands the clerk a $100 bill how much will she get back?
Answers
Based on the cost of her items, if Kim hands over $100, she will get back $9.85.
The total that Kim will pay includes the cost of all three items as well as the sales tax.
The total cost of the three items is:
= Blouse + Skirt + Purse
= 17.16 + 28.19 + 35.14
= $80.49
The total including the sales tax will be:
= Cost + (Cost x Sales tax)
= 80.49 + (80.49 x 12%)
= $90.15
The change she will get is:
= 100 - 90.15
= $9.85
In conclusion, Kim will get a change of $9.85.
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Write four hundred thirty-five thousand, two hundred two in standard form.
Answers
Answer:
four hundred thirty-five thousand : 435,000
two hundred two : 202
You buy a new computer for $1.500. The value of the computer decreases by 6% every yearHow much is the computer worth after 4 years?
a. $1,171.05
b. $1,225.35
c. $1,008.50
d. $999.80
Answers
Answer:
A. $1171.05Step-by-step explanation:
1500 × (1-(6 / 100))⁴
Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)
Answer:
b. $1,225.35
Step-by-step explanation:
5339 x 6 and explain
Answers
32,034
Step-by-step explanation:
5,339
6 ×
32,034
9 × 6 = 54 write 4, remainder 53 × 6 = 18 plus 5 = 23 write 3, remainder 23 × 6 = 18 plus 2 = 20 write 0, remainder 25 × 6 = 30 plus 2 = 32QUICK!!
Which equation represents the relationship shown in the graph??
Answers
Answer:
y=1/2x
Step-by-step explanation:
Look at the graph, all you need is the first point.
Y is at 4 and X is at 2. We can divide y/x to get 4/2=1/2x
A. 23.7
B. 8.7
C. 13.8
D. 9.5
Answers
Answer:
a
Step-by-step explanation:
just cuzyfhyf
PLEASE HELP ITS MATH THANK YOUUUU
Answers
Answer:
4 Kilometers
Step-by-step explanation:
if 2 centimeters = 1 kilometer than 8 centimeters = 4 kilometers
A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. Each suit has 13 cards.
Count the number of ways in which four cards, each of a different face value, can be chosen.
Answers
Answer: 17160
Step-by-step explanation:
first there are 13 options
then there are 13 - 1 that was chosen
then there are 13 - 2 that were chosen
then there are 13 - 3 that were chosen
so that's 13 options, then 12 options, then 11 options, and then 10 options
and in order to figure out all of the possibilties we mutiply the options so
13*12*11*10 = 17160
little further explaining of why this works:
we have a set of letters (3 in a set)
A B C
what are the possible combinations?
AB
AC
BC
BA
CA
CB
the answer is 6 which is also 3 * 2 * 1 = 6
Why does that answers show sometimes but not all the time
Answers
Answer:
Don’t be lame
Step-by-step explanation:
Cheaters are lame
Answer:
thats because of brainly ads, if u don't want the brainly ads u have to get premium.
Step-by-step explanation: