Write the equation of a line perpendicular to y=-2x+1 that passes through the point (2,3)
Answer:
y = 1/2x + 2
Step-by-step explanation:
First you have to determine the slope which is the opposite reciprocal of the slope of the line given.
So we take the slope -2 and reciprocate and by flipping the numerator and denominator which makes it -1/2.
Then we have to make it the opposite, like making a negative into a positive or a positive into a negative. So that would make it positive 1/2.
We now have the slope which is 1/2 and not we have to make sure it goes through point (2,3).
To do that, we must adjust the y-intercept until it goes through that point. We result in getting the y-intercept of 2.
The answer is y = 1/2x + 2
Answer:
y = [tex]\frac{1}{2}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 1 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, 3) into the partial equation
3 = 1 + c ⇒ c = 3 - 1 = 2
y = [tex]\frac{1}{2}[/tex] x + 2 ← equation of perpendicular line
What numbers will be times 10⁶
Answer:
1000000
Step-by-step explanation:
Add 10 with 6 0's
what’s pi? (i actually kno what it is i’m jus bored lol)
Answer:
3.14159 and so on
Step-by-step explanation:
Put these amounts of money in order, smallest to largest
£3.40
£0.34
£4.03
£0.43 €3.04
Answer:
£0.34
£0.43
€3.04
£3.40
£4.03
Step-by-step explanation:
One pound (€) is less than one Pound Sterling (£), so 3.04 pounds is worth less than 3.40 Pound Sterlings.
Kelly is knitting a scarf for her brother. It took her 1/5 hour to knit 2/5 foot of the scarf. How fast is Kelly’s knitting speed, in feet per hour?
You help me I help you!
Answer: 9/8 feet per hour fast is Kelly's knitting speed
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity 1 such as 4 meters per second or 4 miles per hour.
As per the statement:
Kelly is knitting a scarf for her brother. it took her 1/3 hour to knit 3/8 foot of the scarf.
She took /3 hours to knit 3/8 foot of the scarf.
Therefore, 9/8 feet per hour fast is Kelly's knitting speed.
Hope I helped!
Multiple Choice Start Root 400 End Root= A. 20 B. 18 C. 16 D. 14
Answer:
a
Step-by-step explanation:
root 400 is 20.
25 POINTS PLEASE ANSWER THIS
Answer: y=17 x=10
Step-by-step explanation:
so they have equal measures and they’re a linear pair (make a line) and a line is 180° so that would means you can set both equal to 90°
9y-63=90 and 9x=90
so for the first one you subtract 63 from 90 then divide by 9 to get 17
the next one you just divide by 9 to get 10 therefor y=17 and x=9
Please answer someone
Answer:
corresponding angles theorem
Step-by-step explanation:
angle G at ∆HGB = angle H at ∆FHD
The quotient of 24 and x equals 14 minus 2 times x (into an equation don’t solve)
Answer:
24 / x = 14 - 2x
Step-by-step explanation:
Quotient means division (÷ or /)
Quotient of 24 and x = 24 ÷ x
24 ÷ x is equivalent to 24 / x
14 minus 2 times x = 14 - 2x
So, the equation is
24 / x = 14 - 2x
A theater is presenting a program on drinking and driving for students and their parents or other responsible adults. The proceeds will be donated to a local alcohol information center. Admission is for adults and for students. However, this situation has two constraints: The theater can hold no more than people and for every two adults, there must be at least one student. How many adults and students should attend to raise the maximum amount of money?
Christina went to the store and spent $6.91 for her science project. She gave the cashier $9.00. Estimate the amount of change the cashier should give Christina.
Answer:
$3.09
Step-by-step explanation:
This is prob really easy
Answer:
3-(-2)=3+2 {The negative signs will become +)
and 3+2=5
so option 4 is correct
Answer:5
Step-by-step explanation:
whenever a negative is multiplied by a negative, it becomes a positive.
so: 3-(-2)—>3+2=5
angle a is equal to 5x + 11 and angle b is equal to 2x + 15. What is the value of x?
Answer:
x=1.3 continuing
Step-by-step explanation:
What is "y equals seven less than four times a number" translated into?
Answer:
4x-7=y
Step-by-step explanation:
i think that's rightt
Solve using Substitution
y = -1x - 5
4x - 8y = 4
Answers:
Step-by-step explanations:
Solve For x in terms of a y and z.
3xy - z = 2z + 5
Answer
x= z/y + 5/3y
Step-by-step explanation:
please help me I need it !!!
helpppppp plssssssss
Answer:
DZE= 80 degrees
AZF= 30 degrees
AZB= 80 degrees
BZC = 70 degrees
Step-by-step explanation:
first eight natural numbers
Step-by-step explanation:
The first eight natural numbers are 1, 2, 3, 4, 5, 6, 7, 8. The sum of these observations = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36, and the number of their observations = 8. Required mean = 4.5
Please mark me brainliest.
There are 8 children and 2/3 gallon of apple juice. If each child received the same amount of juice, what fraction of a gallon will each child receive?
Answer:
1/5 gallon
Step-by-step explanation:
solve for the variable
please hurry i need it asap
Answer: 7. p=1.49
8. a= 1.05
Step-by-step explanation:
Answer:
p = 1.5 & s = 7
Step-by-step explanation:
7. [tex]\frac{0.45}{4.2}[/tex] = [tex]\frac{p}{14}[/tex]
0.45(14) = 4.2p ⇒ Cross-multiply the terms
6.3 = 4.2p
p = [tex]\frac{6.3}{4.2}[/tex] ⇒ Divide 6.3 by 4.2 to get p by itself (solve for p)
p = 1.5
8. [tex]\frac{2.4}{6}[/tex] = [tex]\frac{2.8}{s}[/tex]
2.4s = 6(2.8) ⇒ Cross-multiply the terms
2.4s = 16.8
s = [tex]\frac{16.8}{2.4}[/tex] ⇒ Divide 16.8 by 2.4 to get s by itself (solve for s)
s = 7
I would really appreciate it if you would please mark me brainliest!
Have a blessed day!
A watch loses 2 minutes every 15 hours. How much
time will it lose in 2 hours?
Answer:
Will lose 0. 2667 minutes every two hours.
Step-by-step explanation:
Answer:15 seconds
Step-by-step explanation:
Which ordered pair would form a proportional relationship with the point graphed below?
On a coordinate plane, point (negative 20, 40) is plotted.
(–40, 20)
(–10, –20)
(15, –30)
(5, –15)
Answer:
it is c
Step-by-step explanation:
i got it right on egde
are these two functions or no? i name brainiest
Answer:
these two isn't a function
Step-by-step explanation:
On the table you can see that the ratio isn't equivalent
On the chart you can see that one domain has two ranges which also tells us that this two isn't a function
Answer: Nuuuu dey aren't functions.
Carrie makes 27 liters of lemonade. 8 people share the lemonade equally. Which statement is true? a Each person will receive less than 2 liters. b Each person will receive between 2 and 3 liters. c Each person will receive between 3 and 4 liters. d Each person will receive more than 4 liters.
Answer:
The correct option is;
a. Each person will receive between 3 and 4 liters
Step-by-step explanation:
The volume of lemonade Carrie makes = 27 liters
The number of people that share the lemonade = 8
The volume of lemonade each person receives = 27/8 = 3.375liters
Each person will receive more than 3 liters but less than 4 liters of lemonade
Therefore, the correct option is each person will receive between 3 and 4 liters.
Answer:
Each person will receive between 3 and 4 liters.
3n+1=19 so i'm learning to solve 2 step equations in pre algebra but i don't really understand.
Answer:
n = 6
Step-by-step explanation:
Simplifying
3n + 1 = 19
Reorder the terms:
1 + 3n = 19
Solving
1 + 3n = 19
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 3n = 19 + -1
Combine like terms: 1 + -1 = 0
0 + 3n = 19 + -1
3n = 19 + -1
Combine like terms: 19 + -1 = 18
3n = 18
Divide each side by '3'.
n = 6
Simplifying
n = 6
Answer:
n = 6
Step-by-step explanation:
3n + 1 = 19
Subtracting 1 from both sides:
3n + 1 - 1 = 19 - 1
3n = 18
Dividing both sides by 3:
3n/3 = 18/3
Simplifying:
18/3 = 6
n = 6
Hope you learned from this answer!
I need some help with this
HELP!! I NEED THIS ASAP!!!!!
A square chocolate candy is made up of 8 dark chocolate squares and 8 white chocolate squares which are all the same size.
Jennifer breaks off squares of chocolate and hands the pieces out to her friends. She ends up with a perfect square.
If she has more than 4 squares of chocolate left, how many pieces did she give away?
Answer:
4
Step-by-step explanation:
Because 8 + 8 is 16. 16 / 4 is 4. Or 4 x 4 is 16.
Hope this helps! <3
Answer: She gave away 7 pieces and was left with 9 pieces
Step-by-step explanation: Because 8+8+16 the next smallest square you can end up with is 3x3, or 9.
A candy store makes a 12-lb mixture of gummy bears, jelly beans, and gobstoppers. The cost of gummy bears
is $2.00 per pound, jelly beans cost $3.00 per pound, and gobstoppers cost $1.50 per pound. The mixture calls
for three times as many gummy bears as jelly beans. The total cost of the mixture is $24.00. How much of
each ingredient did the store use?
A. 7 lb gummy bears, 2 lb jelly beans, 3 lb
gobstoppers
B.6 lb gummy bears, 2 lb jelly beans, 4 lb
gobstoppers
C. 7 lb gummy bears, 3 lb jelly beans, 2 lb
gobstoppers
D. 2 lb gummy bears, 6 lb jelly beans, 4 lb
gobstoppers
Answer:
its b
Step-by-step explanation:
6x2=12 3x2=6 1.5x4=6 6+6=12 and 12+12=24
B. 6 lb gummy bears, 2 lb jelly beans, 4 lb
What is ratio ?Ratios are required form comparing two or more quantities which are of same type.
a/b can be written in ratio form a:b.
According to the given question
A candy store makes a 12-lb mixture of gummy bears, jelly beans, and gobstoppers.
The mixture calls for three times as many gummy bears as jelly beans.
∴ If the mixture has 1 lb of jelly beans then it will also hence 3 lbs of gummy bears.
By going through options we can observe option B is satisfying this condition as 6 lbs of gummy bears is 3 times 2 lbs of jelly beans and the rest are gobstoppers which is 4 pounds.
For more assurance to our given choice we can check with the price of individual contents too.
Total mixture is 24 dollars and gummy bears, jelly beans and gobstoppers costs 2 dollars, 3 dollars and 1.5 dollars respectively.
∴ 6(2) + 2(3) + 4(1.5)
= 12 + 6 + 6
= 24 dollars.
learn more about ratio here :
https://brainly.com/question/1504221
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Conclusion sentence for pop art