Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points (3, -1) and (1, 1).
Answer:
Plug it in.
y = -1, y1 = 1
x = 3, x1 = 1
-1 - 1 = m( 3 - 1)
-2 = 2m
m = -1
The slope is -1
y = -x +b
-1 = -3 +b
b = 2
The equation is y = -x + 2
Hope this helps.
Step-by-step explanation:
The sum of the reciprocals of two consecutive integers is 9/20
. Find the two integers.
Answer:
4,5
Step-by-step explanation:
The LCM of 4 and 5 is 20, and their sum is 9, so 1/4+1/5 = 9/20.
brainliest pls :)
PLEASE HELP, TWENTY POINTS PLUS BRAINLIEST
Write an explicit function to represent the following sequence.
3,9, 27, 81,...
A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What length of fencing is required? Round the answer to the nearest meter. А 25 m B x 25 m 45° The length of fencing required is meters.
Answer:
Length of the fence required = 135 m
Step-by-step explanation:
Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid
Perimeter of ABCD = AB + BC + CD + AD
Since, AB = BC = EF = ED = 25 m
From the given right triangle BEC,
m∠EBC = m∠ECB = 45°
ΔBEC will be an isosceles triangle.
So, BE = EC
By Pythagoras theorem,
BC² = BE² + EC²
25² = 2(EC)²
EC = [tex]\frac{25}{\sqrt{2}} =17.7[/tex] m
And DC = (DF + EF + EC)
= EC + EF + EC [Since, DF = EC]
= 2EC + EF
= 35.4 + 25
= 60.4 m
Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25
= 135.4 m
≈ 135 m
Therefore, length of the fence required = 132 m
What is the equation of the line
Answer:
x=-9
Step-by-step explanation:
Which of the following inequalities matches the graph? (1 point)
-10
-0
10
1. x>-3
2. x<-3
3. y>-3
4. y<-3
Given:
The graph of an inequality.
To find:
The inequality.
Solution:
From the given graph it is clear that the boundary line is a vertical line parallel to y-axis at the distance of 3 units from the left of y-axis. So, the equation of boundary line is
[tex]x=-3[/tex]
Now, the shaded portion lies on the left of the boundary line. It means the values which are less than 0 are included in the solution set.
The boundary line is a dotted line. So, x=-3 is not included in the solution set.
So, the required inequality is
[tex]x<-3[/tex]
Therefore, the correct option is B.
While standing on a 50 foot high roof, Santa throws an ornament up into
the air with an initial velocity of 40 feet per second. How long will it take to
hit the ground? Round your answer to the nearest tenth.*
PLEASE HELP ASAP!
Answer: 1.25
Step-by-step explanation: you gotta divide 50 and 40.
HELP GIVING AWAY 55 POINTS!!!!
Pete wants to mix 4 quarts of 20% orange juice concentrate with some 60% pineapple juice concentrate to get a 50% punch concentrate for a party. How much of the 60% pineapple juice concentrate should be used? please answer ASAP and explain thought process
Answer:
12 quartsStep-by-step explanation:
Let the amount of pineapple juice be x quarts, the concentration of juice is as following equation:
4*0.2 + x*0.6 = (4 + x)*0.50.8 + 0.6x = 2 + 0.5x0.6x - 0.5x = 2 - 0.80.1x = 1.2x = 12Determine the number of subsets of {sock, shoe, shirt, hat, glove}
14
14
16
16
32
32
20
What is the value of the expression 1/2-(-1/3+2/5)
answer 13/30
or 0.43 repeating
Step-by-step explanation:
hi need help with math
some one help
Answer:
Ether C or D. hope this helps
It’s time to lock down the design details for the redesigned Brick and Egyptian candles. Because of manufacturing constraints, the base length for each candle has to be at least 2 cm and can be no more than 10 cm. Make a recommendation for the base dimensions of each candle. Explain how you determined your base dimensions. Your reasoning does not have to be all math related.
Answer:
THE SMALLEST FORMS:
- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3
- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3
- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3
- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3
The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.
THE BIGGEST FORMS:
- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3
- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3
- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3
- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3
The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is 0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle
The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market, you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.
If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.
Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:
Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4
The new length is 10-4=6 and the new width is 2+4=6.
Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)
I can't figure out it's multiple choice
Answer:1,5
Step-by-step explanation:
gimme brainliest
In the expression 2a-5+4a-9, name the constants
Answer:
-5 and -9 are the constants, can also be written -14
HURRY PLEASE!!! 10 MINUTES!!!!!!!!!!
Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and proposes two methods for collecting data. Method 1: As golfers approach the first tee, give some golfers wrist bracelets with magnets and some golfers wrist bracelets without magnets. During the round of golf, keep track of the length of the golfers’ shots. Method 2: Contact golfers who have purchased wrist bracelets with magnets and ask them to provide information about their shot length. Which statement about these methods is true? Method 1 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it could include golfers from many golf courses. Both methods are observational studies because they both collect information about shot length.
Answer:
I think it is D
Step-by-step explanation:
Answer:
C
EDGE
Step-by-step explanation:
Which of the following functions maps 3 to -5?
Of(x) = x + 8
O f(x) = x-5
O f(x) = 4 – x2
O f(x) = -x + 2
Answer:I think it’s B
Step-by-step explanation:
If I get this wrong i’m sorry
Write 968,000 in scientific notation.
A. 968 × 103
B. 96.8 × 102
C. 9.68 × 104
D. 9.68 × 105
What is the exponential form of the expanded form below? 10.10.10.10.10. A 5.10 B 5)10 C 10)1. D 10)5
Answer:
the answer is D
Step-by-step explanation:
Answer: D AKA (10*5)
Step-by-step explanation:
I took the test on edge 2020 and it was correct!! and 10 5 times would make more sense being D which is 10*5 STAY SAFE :)I NEED HELP NOW !!!!!!! In order for each sheep to get enough grass to eat, there should be 7 sheep for each acre of land. Which farm has the correct ratio of sheep to acres? Select the best answer from the choices provided. A. The Twelve Oaks farm has 14 sheep and 2 acres of land. B. The Tara farm has 28 sheep and 3 acres of land. C. The Butler farm has 35 sheep and 6 acres of land. D. The Scarlett farm has 21 sheep and 2 acres of land. 10 POINTS
Answer:
A: The Twelve Oaks farm has 14 sheep and 2 acres of land.
Step-by-step explanation:
For every 7 sheep, there has to be one acre of land. In order for you to find how many sheep are needed for each acre, you would multiply the amount of acres and you should get the amount of sheep that farm holds.
A. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.
B. 3 x 7 = 21 meaning there should be only 21 sheep at a farm that only has acres of land.
C. 6 x 7 = 42 meaning there should be only 42 sheep at a farm that only has 6 acres of land.
D. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.
Hope this helps!
Please tell me if I am incorrect I enjoy learning from my mistakes!
Good luck!
convert 16 into binary
convert 16 into binary number is 0b10000
Plis help me plis! I need help with this
Answer:
The light blue/greenish one that says T=PV/K or Greeland
Step-by-step explanation:
We can make the equation more simplier by multiplying both sides by P to remove fractions.
It would become VP=KT
The only answer with VP or PV is B, or the T=PV/K
also, to isolate T, divide the VP=KT by K on both sides to isolate T.
VP/K=T
What is the least common denominator of 11/6 and 9/10?
Answer:
The least common denominator is 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
the least common multiple ( L.C.M ) of 6 and 10 = 30
Which inequality represents all values of x for which the product below is
defined?
please help very confused
Answer:
C. x ≥ 5
Step-by-step explanation:
You must meet both conditions:
(x -5) ≥ 0 and (x +2) ≥ 0
For the first condition, ...
x ≥ 5 . . . . add 5 to both sides
For the second condition ...
x ≥ -2 . . . . subtract 2 from both sides.
Since both conditions must be met, we must have ...
x ≥ 5
i hope this helps :)
Fourteen boxes of candles were sold for $91.00. What is the cost of 1 box?
Answer:
$6.50 per 1 box
Step-by-step explanation:
$91.00 ÷ 14 boxes = $6.50 per 1 box
Check Work:
$6.50 x 14 boxes = $91.00
For a dinner party, a catering company charges a set fee $150 plus $20 per person. How much will it cost for 35 people to attend the event?
Answer:
$700 for 35 people but if you want to add the fee it will be $850
1. ab=l (solve for a)
Answer:
l/b=a
Step-by-step explanation:
Expand the linear expression 4(10x - 4).
40x - 16
40x + 16
40x - 4
10x - 16
Answer:
the correct answer is 40x-16
Step-by-step explanation:
here,
=4(10x-4)
=40x-16
calculate 1/2 - 1/3× 6/7
Answer:
3/14
Step-by-step explanation:
This is because 1/2-1/3 is 1/6 and then 1/6 times 6/7 is 3/14
Answer:
here u go
Step-by-step explanation:
Find the value of x.
2x – 4
10
Answer: 7
Step-by-step explanation:if 10 and the other equation are the same then 2(7)-4=10
a trucks height is 3 meters 35 centimeters. how tall is the truck in millimeters