Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
[tex]y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0[/tex]
Therefore x + 2y - 3 = 0 is the required equation of line.
Answer:
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
\begin{gathered}y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\end{gathered}
y−(−2)=−
2
1
(x−7)
y+2=−
2
1
(x−7)
2(y+2)=−(x−7)
2y+4=−x+7
2y+4+x−7=0
x+2y−3=0
Therefore x + 2y - 3 = 0 is the required equation of line.
hope it helps you
I need help it's due by 7
Answer:
Step-by-step explanation:
w=204.8
Answer:
204.8
Step-by-step explanation:
8x25.6=204.8
DOuble Check:
204.8 divided by 25.6=8
The school production of 'Our Town' was a big success. For opening night, 391 tickets were sold. Students paid $4.00 each, while non-students paid $6.00 each. If a total of $1786 was collected, how many students and how many non-students attended?
Answer:
280 students
111 non students
Step-by-step explanation:
number of students (S)
number of non students (N)
S+N=391 S=391-N
4S+6N=1786
substitute S
4(391-N)+6N=1786
1564-4N+6N=1786
subtract 1564 from each side
2N=222
N=111
S=391-111=280
A hotel provides discounts to area attractions for people
attending conventions, hoping this will encourage them to
bring their families. The hotel wants to see if the marketing
campaign was successful.
Which of these methods will produce the most representative sample of the
population of convention participants?
A. The hotel surveys all the convention visitors who eat at their hotel,
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
C. Surveyors stand beside one of the booths during a convention and
ask the people who visit the booth if they brought their families.
D. The hotelsends an email to a random selection of people who
have been registered as convention participants during the past
six months
Answer:
I'm not to sure but I think A. or D. I'm so sorry if I'm wrong
The most representative sample of the population of convention participants is:
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
A hotel provides discounts to area attractions for people attending conventions, hoping this will encourage them to bring their families. The hotel wants to see if the marketing campaign was successful.
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
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A container of bread contains: 8 red beads, 6 yellow beads, and 6 green beads. A bread will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green or red is drawn?
help quick!!
Part A: Bill earned $12 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Bill earned Saturday and Sunday.
Part B: Bill was able to walk 2 more than twice as many dogs as his friend Steve. Write an algebraic expression to represent the number of dogs Bill walked compared with Steve.
Answer:
Part A: 12 + x
Part B: 2s + 2
Step-by-step explanation:
First thing you need to know is the difference between an expression and an equation. An expression does not have an equal sign, while an equation does.
To write an expression for Part A, first write the 12 (the amount he got on Saturday). Then, we need to write the addition sign (to find the total amount Bill earned). We don't know how much Bill earned on Sunday, so use any variable (I used x). Because we're writing an expression, do not write an equal sign.
To write an expression for Part B, first write the amount of dogs his friend Steve walked using a variable because we don't know that number (I used the variable s). Then, since Bill walked 2 more than twice as many dogs Steve walked, write the s multiplied by the 2 or just 2s. Now add the addition sign (to find the total amount Bill walked). Add a 2 because Bill walked 2 more dogs than twice as many Steve walked.
Hope it helps!
The expressions formed are 12+x and 2y+2.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
Let x be the amount of money Bill earned on Sunday.
He earned $12 on Saturday.
The total amount of money Bill earned is,
=> 12 + x
Let the number of dogs Bill's friend Steve walked is y.
Then the expression for the number of dogs Bill walked compared with Steve is,
=> 2y +2
To know more about Expression
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I do not understand this at all
Answer:
2s+3b=154
s=2b
solving: s= 44, b= 22
Step-by-step explanation:
s=number of sundaes sold
b=number of banana splits sold
2s+3b=154
s=2b
to solve:
substitute s=2b into the first equation
2(2b)+3b=154
4b+3b=154
7b=154
divide both sides by 7
7b/7=154/7
b=22
s=44
b.
cups of water fill
14
Identical water bottles. How many cups fill each bottle?
Answer:
bro how many cups fill 14 indentical water bottles
Step-by-step explanation:
question is in complete
or if I take it as x then x/14
hope it helps you
mark me as brainlist
What is the operation used in 3r?
-subtraction
-addition
-multiplication
-division
Answer:
Multiplication
Step-by-step explanation:
3r means 3 times R. We don't write it just like we don't write 1.0 for 1 or 1.000... A number in front of a variable means that number times that variable.
Hope this helps! <3
(1) One apple weighs 75 grams and one orange weighs 40 grams. The weight of x apples and y oranges, is
Answer:
Given,
Weight of each apple =75 gm
Weight of each orange =40 gm
So,
Weight of x apples =75x gm
Weight of y oranges =40y gm
Thus,
Weight of x apples and y oranges =(75x+40y) gm
I hope it's helpful!
Use the Distributive Property to find the product.
1 1/5x25=?
The product is .
Answer:
55
Step-by-step explanation:
you make 25 into its perfect square form and multiply
11÷5 x 5 x 5
I NEED HELP ASAP WILL GIVE BRAINLYEST
Answer: D. 25
Step-by-step explanation:
Answer:
the answer is 25
Step-by-step explanation:
What is the slope-intercept equation for the
graph shown below?
A. y = 1/2x - 1
B. y = -1/2x - 1
C. y = -1/2 + 1
D. y = 2x - 1
An equation is given.
y = 3x + c
Create an equivalent equation by solving for x in terms of y and c.
x = ______________
15% is to be added to a 120 pair of shoes. Find the total
Price for the pair of shoes
Answer:
138
Step-by-step explanation:
120 x .15 = 18
120 + 18 = 138
Answer:
138Step-by-step explanation:
[tex]120+15\%\times120=120+0.15\times120=120+18=138[/tex]
Mr. Evans rides his bicycle an average speed of 8 km/hr. How far has he
traveled if he rides 4 hours?
he airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which inequality can be used to determine how many more people can board?
96 + x Less-than-or-equal-to 149
96 + x Greater-than-or-equal-to 149
96 + x > 149
96 + x < 149
This is the same as saying "96 + x less than or equal to 149"
====================================================
Explanation:
We start with 96 people already on board. We add on x more people. The x is a placeholder for a positive whole number.
In total, we have 96+x people on the plane. This total must not exceed the max capacity of 149. In other words, the largest value of 96+x is 149.
Since 96+x can be 149 or smaller, we can say 96+x ≤ 149
Answer:
The answer is A
Step-by-step explanation:
I got it right on edge
If 2 feet is equal to 60.96 centimeters how many centimeters are in 12 feet PLEASE HELP
Answer:
365.76
Step-by-step explanation:
If 2 feet is 60.96, then 1 foot is 30.48.
30.48 times 12 = 365.76
365.76 centimeters is the answer.
Hope this helps!
Plz, mark brainliest!
Answer:
365.76 cm in 12 feet
Step-by-step explanation:
Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)
Now we can cross multiply, which gives us 12*60.96=2*x
Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.
Simplify the expression
Answer:
-9.8n + 10.9
Step-by-step explanation:
2.9 + 8 = 10.9
-4n + -5.8n = -9.8n
Solve equation 3 + p = 8
Answer:
The answer is 5
Step-by-step explanation:
You can do inverse operation which is Subtraction.
8-3 = 5
Answer:
5
Step-by-step explanation:
if its not that i have no idea what to say
Find each angle measure.
Answer:
Step-by-step explanation:
1)140
2)70
show your work plzzz i will give you the points
Answer:
I do not see a problem.
Step-by-step explanation:
Thanks for the points.
zola earned $30 by working two hours and receiving a $12 bonus. what expression matches that expression?
15(h) + 12
h = hours worked
//
15(2) + 12
i need help urgently please :D
Answer:
y = 4
x = 5
y = 2
x = 1
x = 8
Step-by-step explanation:
to find y-intercepts, set x = 0
to find x-intercepts, set y = 0
1.) 4(0) + 5y = 20
5y = 20
y = 4 -------> y-intercept
2.) 4x + 5(0) = 20
4x = 20
x = 5 -------> x-intercept
3.) 2(0) + y = 2
y = 2 -------> y-intercept
4.) 2x + 0 = 2
x = 1 -------> x-intercept
5.) x - 2(0) = 8
x = 8 -------> x-intercept
Answer:
4x+5y=20 the answer is below
x= −5/4y+5
y= −4/5x+4
2x+y=2 the answer is below
x= −1/2y+1
y=−2x+2
x-2y=8 the answer is below
x=2y+8
y=1/2x−4
Step-by-step explanation:
Let's solve for x.
4x+5y=20
Step 1: Add -5y to both sides.
4x+5y+−5y=20+−5y
4x=−5y+20
Step 2: Divide both sides by 4.
4x/4 = −5y+20/4
x= −5/4y+5
Answer:
x= −5/4y+5
Let's solve for y.
4x+5y=20
Step 1: Add -4x to both sides.
4x+5y+−4x=20+−4x
5y=−4x+20
Step 2: Divide both sides by 5.
5y/5 = −4x+20/5
y= −4/5x+4
Answer:
y= −4/5x+4
Let's solve for x.
2x+y=2
Step 1: Add -y to both sides.
2x+y+−y=2+−y
2x=−y+2
Step 2: Divide both sides by 2.
2x/2= −y+2/2
x= −1/2y+1
Answer:
x= −1/2y+1
Let's solve for y.
2x+y=2
Step 1: Add -2x to both sides.
2x+y+ −2x=2+ −2x
y=−2x+2
Answer:
y=−2x+2
Let's solve for x.
x−2y=8
Step 1: Add 2y to both sides.
x−2y+2y=8+2y
x=2y+8
Answer:
x=2y+8
Let's solve for y.
x−2y=8
Step 1: Add -x to both sides.
x−2y+−x=8+−x
−2y=−x+8
Step 2: Divide both sides by -2.
−2y −2=−x+8−2
y=1/2x−4
Answer:
y=1/2x−4
Which graph represents this system?
Y=3
X+ y = 4
Answer:
Step-by-step explanation:
yayyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
It b
Step-by-step explanation:
We know this because 1/2 is 0.5 while 2/3 is 0.67. With this we can say that 1/2 is least than 2/3
Hope this Helped
Each earbud is 4/7 of an inch long. If you put 8 earbuds end to end, how long would they be from beginning to end?
Answer:
4 4/7
Step-by-step explanation:
4/7x8/1
4x8/7x1
32/7
4 4/7
Answer:
The answer is 4 4/7.
Step-by-step explanation:
4/7 x 8 = 32/7
32/7 = 4 4/7
Find the value of x in the following figure.
Answer:
x = 8
Step-by-step explanation:
180-(89+57)= 180-146 = 34
(5x -6) = 34
5x = 34 + 6
5x = 40
x = 40 ÷ 5
x = 8
Find the slope of any line parallel to the line through the given points (3,2),(3,1)
Answer:
the qoustion is not correct
(10^2 )^3
i need some help
Answer: 10^6
Step-by-step explanation:
When you take a power to a power, you can multiply the two powers:
10^6
Answer:
10^6 hope this helps you
i put the wrong screenshot lol this is the last one for 25
Answer:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree
Step-by-step explanation:
thankuuuu,☺Answer:
D or 8sqrt3
Step-by-step explanation:
the shortest side = the longest divided by 2
the shortest side = 16/2
the shortest side = 8
the longer side = the shortest times sqrt3
the longer side = 8 times sqrt3
the longer side = 8sqrt3