Answer:
C) 7.81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point A(-5, 3)
Point B(1, 8)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(1--5)^2+(8-3)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(6)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{36+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{61}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 7.81025[/tex]Round: [tex]\displaystyle d \approx 7.81[/tex]Answer:
AB = 7.81
Step-by-step explanation:
Distance between 2 points = sqrt( (x2 - x1)^2 + (y2 - y1)^) )
x2 = - 5
x1 = 1
y2 = 3
y1 = 8
D = sqrt( -5 - 1)^2 + (3 - 8)^2 )
D = sqrt( (-6)^2 + (-5)^2 )
D = sqrt( (36 + 25)
D = sqrt( 61)
D = 7.81
The sum of three numbers is 103. The second number is 5 less than the first. The third number is 4 times the first. What are the numbers?
Answer:
The numbers are 18, 13, and 72.
Step-by-step explanation:
Let the three numbers be represented by a, b, and c.
The sum of the three is 103. Thus, we can write that:
[tex]a+b+c=103[/tex]
The second number is five less than the first. So:
[tex]b=a-5[/tex]
And the third number is four times the first. So:
[tex]c=4a[/tex]
Substitute:
[tex]a+(a-5)+(4a)=103[/tex]
Solve for a. Combine like terms:
[tex]6a-5=103[/tex]
Add five to both sides:
[tex]6a=108[/tex]
And divide both sides by six. Therefore:
[tex]a=18[/tex]
So, the first number is 18.
Since the second number is five less than the first, the second number is 13.
And since the third number is four times the first, the third number is 72.
find the distance,(-2,3)(-8,3)
Answer:
6
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[-8 - (-2)]² + (3 - 3)²
√(-6)² + (0)²
√36
= 6
PLEASE HELP!! WILL AWARD BRAINLIEST!!
Answer:
2.478 million at the end of 2015
Step-by-step explanation:
Multiply the amount of population at the end of 2012 times 6%
2.1 times 0.06 = 0.126 million
So, at a constant rate, yearly, the population of Dubai increases 0.126 million
2015-2012 = 3
0.126 times 3 = 0.378 million
2.1 + 0.378 = 2.478 million
hope this helps:)
Xavier needs to bike a minimum of 80 miles this week for his training. If he already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week? A INEQUALITY (please)
Answer:
At least 11 miles a day.
Step-by-step explanation:
(80-14)÷6≥80
The cost to play the game is $2. The winner gets $6 for making green. Suppose 36 people play the game. How much money will the school take in from this game before giving out prize money? *
Answer:
$72
Step-by-step explanation:
I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.
Answer:
$72
Step-by-step explanation:
You are trying to determine how much money the school will take in before giving out prize money. Knowing this, you can actually ignore the $6 that the winner will get because you are not worried about giving out the prize money yet. You are only worried about how much you will make before the prize money.
So, you can do simple multiplication to find the answer:
price per game * amount of people playing game = money made from games
$2 * 36 = x
$72 = x
someone please please help me with this !
Answer:
4y+x - 16 = 0
Step-by-step explanation:
Given the equaton y - 2 = 4 (x-1)
Get the slope of the line
y - 2 = 4x - 4
y = 4x - 4 + 2
y = 4x - 2
Since y = mx+b for a line
mx = 4x
m = 4
Slope of a line perpendicular M = -1/4
If the line passes through the point (-4, 5)
The equation in point slope form is expressed as y-y0 = m(x-x0)
Substitute;
y - 5 = -1/4(x-(-4))
y - 5 = -1/4(x+4)
4(y-5) = -(x+4)
4y - 20 = -x-4
4y+x-20+4 = 0
4y+x - 16 = 0
This gives the required equation
I need to find x pls help
What is the degree of 5x + 3x2 - 4x+1?
3
4
5
6
Step-by-step explanation:
option A
3 IS CORRECT
HOPE IT HELPS
Answer:
3
Step-by-step explanation:
edge 2021
By what percent will a fraction increase if its numerator is increased by 60% and its denominator is decreased by 20%?
Answer:
133.33%
Step-by-step explanation:
x/y * k = 1.6x / 1.2y
k = (1.6x / 1.2y) / (x/y)
k = 1.6/1.2
k = 4/3 = 1.3333 = 133.33%
Please help, it’s due tonight. I do have my answer I just need help explaining how it work for any number..
Answer:
Yes it is 10!
Step-by-step explanation:
5+20=25
25x5=125
125+125=250
250-200=50
50/5=10
What amount would yield an interest of $66 in 2 years at 3% p.a.?
A farmer stacked hay bales. The volume of each hay bale is 10 2/3 cubic feet. The farmer stacked eight hay bales on top of one another. What is the total height of 1 hay bale? What is the total height of the 8 stacked hay bales? L=1 1/3ft W=4ft
Escriba larazon entre la distancia (d)recorrida por un automóvil y el tiempo (t)empleando velocidad (v) es una razón entre distancia y el tiempo y de valor de su velocidad v=d/t
Answer:
V = d / t
Step-by-step explanation:
La velocidad se define como la relación entre la diatancia cubierta por un cuerpo y el tiempo necesario para cubrir esa distancia.
Si el tiempo empleado se da como (t)
La distancia recorrida se da como (d)
Podemos escribir la velocidad (V) en términos de disance y tiempo como;
V = d / t
Convert to percentages. List answers starting from the top. *
41%
1.836
6/50
Answer:
41% is already in percentage form.
1.836 is 183.6 %
6/50 is 12%.
Step-by-step explanation:
41% is already in percentage form, so I'm just going to leave that as it is.
1.836 has 1 whole already, so we know it's going to be more than 100%. Than we have that extra 83.6, so that would be 183.6% as a decimal.
6/50, well we divide to get 0.12, and 0.12 as a percent is 12%.
Please mark branliest, thanks!
What is 6574893 + 7?????
Answer:
6574900
Step-by-step explanation:
Answer:
6,574,900
Step-by-step explanation:
have a good day
Find the value of g in the figure given below.
Assume that the lines are parallel.
Answer:
d=60-degree (Vertically opposite angles)
e=d=60-degree (Alternate angles)
e+g=180-degree (Being in a straight line)
60+g=180
g=180-60
g=120-degree
Answer:
angle g = 20 degree
Step-by-step explanation:
60 degree + angle g = 180 degree (being co exterior angles)
angle g = 180 - 60
angle g = 120 degree
Note : co interior angles are the angles formed on the exterior of the two parallel lines and which are on the same side of the transversal .
If 2^x = 5, what is 2^3x - 4?
Answer:
the value of x is 2^9/4 then 2^3x-4=2^11/4
The difference between two numbers is 51 four times the smaller is equal to six more than the larger what are the numbers
Answer:
Smaller #: 19
Larger #: 70
Step-by-step explanation:
Step 1:
We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.
Step 2:
We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:
[tex]4x=51+x+6\\3x=57\\x=19[/tex]
If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .
I hope this helps! Let me know if you have any questions :)
Balr's new computer costs less than twice the cost of her old computer. Her new computer cost $709. How much did Blair's old computer cost?
Answer:
$357
Step-by-step explanation:
Which table represents a quadratic function?
f(x)
x
x
fx)
f(x)
x
f(x)
-4
-5
-4
-4
2
-10
-4
0.5
47
-2
-2
-2
1-6
-2
1
ok
10
0
1
0
2
0
2
2
-7
N
4
2
6
co
N
4
4
2
4
7
4
10
4
8
0
9514 1404 393
Answer:
see below
Step-by-step explanation:
The x-values in each table are evenly-spaced (increasing by 2). So, the quadratic function can be identified by its second differences: they will be a non-zero constant.
Table 1 has first differences that are constant at 3. -2-(-5) = 3, for example. It represents a linear function.
Table 2 has first differences of 4, 8, 4, 4, neither constant, nor linearly increasing. The function does not have a name.
Table 3 has first differences of -9, -3, +3, +9, and these have differences of +6. This represents a quadratic function.
Table 4 has first differences of 0.5, 1, 2, 4. These have a constant ratio, as do the values in the table. It represents an exponential function.
The table that represents a quadratic function is C. Table 3.
What is a quadratic function?A quadratic function simply means a function that's in the form of f(x) = ax² + bx + c.
In this case, the table that represents a quadratic function is table 3. It has first differences of -9, -3, +3, +9, and these have differences of +6. It can be deduced that in the quadratic function, b and x are numbers.
Learn more about quadratic function on:
https://brainly.com/question/12144333
Help me answer ??????
Answer:
the triangle is not a right angle
Step-by-step explanation:
5²+12²=169
15²=225
What is the solution set for -2n – 2 > 2?
Answer:
n < -2
Step-by-step explanation:
-2n – 2 > 2
-2n (– 2 + 2) > 2 + 2
-2n > 4
-2n/-2 > 4/-2
n < -2
A sighting is made of a sailboat from a lighthouse. If the lighthouse is 123.5 m above
the level of the water, how far is the sailboat from the shore if the angle of depression
is 18°?
how many questions out of 42 do I need to get right to score 75?
Answer:
31 questions, but it's impossible to score 75%.
Step-by-step explanation:
It's impossible to get exactly a score of 75% out of 42 questions. However, you can get the next closest percentage, which is rounded up to 74% with 31 questions right out of 75.
This is because 31 / 42 = 0.738... You can round 0.738 to 0.74. Then multiply 0.74 by 100, which gives you 74. This means the closest score you can get to 75 is 74% with 31 questions.
You can also score 76% with 32 questions right out of 42 questions. This is because 32 / 42 = 0.761... You can round 0.761 to 0.76. Then multiply 0.76 by 100, which gives you 76.
Suppose an urn has six balls, three red, two blue, and one yellow. On any draw from the urn, all balls in the urn are equally likely to be drawn. Suppose that two balls are drawn, in sequence without replacement, that is, the second ball is drawn without replacing the first ball in the urn. What is the probability that the second ball drawn is blue
Answer:
1 / 3
Step-by-step explanation:
Number of balls :
Red, R = 3 ; Blue, B = 2 ; Yellow, Y = 1
Total = 6
From two draws without replacement, probability that 2nd draw is blue :
Possibilities :
P(RB) or P(YB) or P(BB)
P(RB) = 3/6 * 2/5 = 6/30
P(YB) = 1/6 * 2/5 = 2 /30
P(BB) = 2/6 * 1/5 = 2 / 30
HENCE,
P(RB) + P(YB) + P(BB)
6/30 + 2/30 + 2/30 = 10/30 = 1/3
sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width
Answer:
Length: 12 meters
Step-by-step explanation:
Step 1:
Let us start with the formula of the perimeter of a rectangle, [tex]P=2l+2w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle.
We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.
Step 2:
We can now write our equation and solve for x :
[tex]24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}[/tex]
We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be [tex]\fbox{12}[/tex] meters.
I hope this helps! Let me know if you have any questions :)
Answer:
From the given information, there are two equations in terms of x and y:
2x + 2y = 24 (perimeter of the rectangular plot)
x = 3y (relationship between length and width)
The second equation is expressed in terms of x, so directly substitute the value of x into the first equation and find y:
2(3y) + 2y = 24
y = 3
Substitute y in the second equation to find x:
x = 3(3)
x = 9
The fencing cost is $25 multiplied by the length of the side Sam wants to fence: 25 × 9 = 225. Therefore, Sam needs to spend $225 to fence that side of his plot.
Step-by-step explanation:
Please help solve the question in the image
Answer:
✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Step-by-step explanation:
Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10
✔️Mean Annual rainfall for Albany (in.):
= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10
= 20.967
✔️Mean Annual rainfall for Zachary (in.):
= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10
= 25.153
✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Is 0.669429565254154... a rational number
Answer: I think so since it’s a decimal
Step-by-step explanation:
has to be as a fraction help plzz
I hope you guys can help me with this question :)