Answer:
The distance between the points is approximately 6.4
Step-by-step explanation:
The given coordinates of the points are;
(2, -2), and (6, 3)
The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Substituting the known 'x', and 'y', values for the coordinates of the points, we have;
[tex]l_{(2, \, -2), \ (6, \, 3) } = \sqrt{\left (3-(-2) \right )^{2}+\left (6-2 \right )^{2}} = \sqrt{5^2 + 4^2} = \sqrt{41}[/tex]
Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.
1. What is a reciprocal?
The definition of a reciprocal
Answer:
a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.
Step-by-step explanation:
I think that's it
PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger number. Find the numbers. PLEASE SHOW WORK Thanks!
Answer: The numbers are 1 and 3.
Step-by-step explanation:
Let x = smaller number , y= larger number.
As per given,
[tex]x=\dfrac{y}{3}[/tex] ...(i)
[tex]x+y=y^2-5[/tex] ...(ii)
Put value of x from (i) in (ii)
[tex]\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}[/tex]
Since numbers are positive , so y=3 is correct.
And x will be 1 [from (i)]
Hence, the numbers are 1 and 3.
Please help it’s due at 11:59
Answer:
c=-16
Step-by-step explanation:
The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price.
If a 7.5% sales tax were added after a 20% discount was used, what would be the total cost to purchase the dress?
A
$146.20
B
$149.00
C
$158.48
D
$160.17
Answer:
B $149.00
Step-by-step explanation:
105 * 1.65 = 173.25 (100%+ 65%) Price with the markup
173.25 *0.80 138.60 (Price after 20% discount .The price will be the 80%)
138.60 * 1.075 = 148.995 (price with 7.5 sales tax.)
In a certain board game, a 12-sided number cube showing numbers 1–12 is rolled. If 4 such number cubes are rolled, what is the probability that at least 1 number cube will show a number 8 or larger?
The probability that at least 1 number cube will show a number 8 or larger is 0.83.
What is a binomial distribution in probability?In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment). The binomial probability is
[tex]n^C_xp^xq^{n - x}.[/tex]
Given, In a certain board game, a 12-sided number cube showing numbers 1 to 12 is rolled.
So, Numbers that are 8 or larger is 8, 9, 10, 11, 12.
Now, The probability(p) of getting a number 8 or larger P(X ≥ 8) = 5/12.
hence q = 1 - p = 7/12.
Therefore, If 4 such cubes rolled the probability that at least 1 number cube will show a number 8 or larger is,
P(X≥ 8) = [tex]^4C_1(\frac{5}{12})(\frac{7}{12})^4+^4C_2(\frac{5}{12})^2(\frac{7}{12})^2+^4C_3(\frac{5}{12}^3)(\frac{7}{12})^1+^4C_4(\frac{5}{12})^4(\frac{7}{12})^0[/tex].
P(X≥ 8) = 4(0.41×0.115) + 6(0.173×0.34) + 4(0.072×0.58) + 1(0.030×1).
P(X≥ 8) = 0.283 + 0.35 + 0.167 + 0.030.
P(X≥ 8) = 0.83 or 83% chance.
learn more about binomial distribution here :
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When you isolate the variable, the goal is to get the variable
А
to equal 1.
B
on both sides of the equal sign to show they are equal.
by itself on one side of the equal sign and a value on the other.
D
by itself on one side of the equal sign and zero on the other side.
Answer:
answer is c.
Step-by-step explanation:
for example:
y=77
I hope it's helpful!
Which of the following is a true statement?
6/7 > 5/8. 2/3 > 5/7. 2/3 < 42/63. 3/4 > 13/16
First to Answer:
6/7 > 5/8 is a true statement.
It took 8 hours to drive 240 miles. At this rate, how long does it take to drive 90 miles?
Answer:
It will take 3 hours to drive 90miles.
Step-by-step explanation:
240miles/8hours=30miles/1 hr. 90miles/3hours
Which of the following statements is false?
8<8
2>8
2<8
2<8
Answer:
8<8 and 2>8 are both false
Answer:
B
Step-by-step explanation:
2.72603 in two decimal place
ANSWER TO 4 AND 5 PLEASE ASAP
Answer:
4) 2/6 or 1/3
5) 42/110 or 21/55
Step-by-step explanation:
4) there are two red options out of a total of 6 options, so 2/6
5) 7 red out of total of 11, so 7/11 · 6/10 = 42/110
To get the fraction 6/10:
we reduce 7 to 6 because there is one less red than originally
we reduce 11 to 10 because there is one less from the initial total
Can you pls help I’m this one
The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Sports Committee, and the Sunshine Committee. a. The Sports Committee wants to use its share of the money to purchase t-shirts. If each t-shirt costs $12, what is the greatest number of t-shirts the Sports Committee can purchase? ANSWER NOW PLEASE!!!!
Answer:
77
Step-by-step explanation:
$2790 is shares equally between 3 committees. each committee would get - $2790 / 3 = $930
If a shirt costs $12 and the Sports Committee gets $930, the committee would get $930 / $12 = 77.5
The committee cannot get half a shirt, so the greatest number of shirt that can be purchased is 77
6+5 x 2 +5+ =
67 +84 - 12 x 4 = 16
Answer:
6+(5 x 2)+5=21
the way you wrote this was kinda weird so I don't know what you expected as an answer
Step-by-step explanation:
5 x 2=10
10+6=16
16+5=21
21
Find the length AB ?
Answer:
AB = 54
Step-by-step explanation:
DE is a midsegment of the triangle and is half of AB , that is
2x + 13 = [tex]\frac{1}{2}[/tex](13x - 37) ← multiply through by 2 to clear the fraction
4x + 26 = 13x - 37 ( subtract 13x from both sides )
- 9x + 26 = - 37 ( subtract 26 from both sides )
- 9x = - 63 ( divide both sides by - 9 )
x = 7
Thus
AB = 13x - 37 = 13(7) - 37 = 91 - 37 = 54
Someone please help?
Answer:
42°
Step-by-step explanation:
its 42° because its smaller than 48° and that's the only option smaller lol
Answer:
42 degrees
Step-by-step explanation:
The angle forms a right angle, which in total would be 90 degrees.
48 + 42 would be the only option because it is the only one that adds up to 90 degrees.
Please help me ASAP
Answer:
BOTH SIDES ARE 12
Step-by-step explanation:
Answer:
x and y is equal to 33° as x and y are the equal angles of the isosceles triangle given in the figure.
April, May and June have 90 sweets between them. May has three-quarters of the number of sweets that June has.
April has two-thirds of the number of sweets that May has. How many sweets does June have?
Answer:
40
Step-by-step explanation:
Which of the following fraction pairs is equivalent?
6/12 and 8/20. 16/20 and 20/35. 2/6 and 7/21. 8/24 and 8/20
Answer:
2/6 and 7/21
Step-by-step explanation:
The number of sunflowers (s) in the garden is one more
than twice the number of roses (r):
is it inequality it not
what's its inequality model—×??
Answer:
s = 2r + 1
Step-by-step explanation:
Number of sunflower (s) is 1 more than twice the number of roses (r)
Mathematically ;
Number of sunflower = 1 + 2 * number of roses
Sunflower = s ; roses = r
s = 2r + 1
We want to study the relation between the number of sunflowers and roses, we will see that it is an equation and the equation is:
s = 2*r + 1
So we know that the number of sunflowers is one more than twice the number of roses, notice that it represents an equation (so it is not an inequality)
And the equation can be written as:
s = 2*r + 1
The number of sunflowers is 2 times the number of roses, plus 1.
If you want to learn more, you can read:
https://brainly.com/question/11897796
Help me with this math problem if u can.
Answer:
Step-by-step explanation:
47.86
-25.20
+52.75
-22.04
-8.50
+94.11
=39.46
What is the measure of DBE?
A. 1200
B. 60°
C. 1800
D. 140°
E. 1000
Answer: I am pretty sure the answer is A, 120.
Step-by-step explanation:
The line CD passes through the points C (2.-1) and D (1, 1). Which of the
following represents the equation of the line in Point-Slope Form?*
Answer:
The equation of the line in Point-Slope Form will be:
[tex]y + 1 = -2(x - 2)[/tex]
Also, check the attached graph below.
Step-by-step explanation:
Given the points
C(2, -1)D(1, 1)Determining the slope between the points C (2.-1) and D (1, 1).
(x₁, y₁) = (2, -1) (x₂, y₂) = (1, 1)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [1 - (-1)] / [1 - 2]
= [1+1] / [-1]
= [2] / [-1]
= -2
Thus, the slope of the line = m = -2
The point-slope form of the line equation is defined as
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
(x₁, y₁) = (2, -1)m = -2substituting the values m = -2 and the point (x₁, y₁) = (2, -1) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - (-1) = -2 (x - 2)[/tex]
[tex]y + 1 = -2(x - 2)[/tex]
Therefore, the equation of the line in Point-Slope Form will be:
[tex]y + 1 = -2(x - 2)[/tex]
Also, check the attached graph below.
Zoe went shopping for a new pair of pants. The listed price of the pair of pants was
$45, but the price with tax came to $46.35. Find the percent sales tax.
ASAP!
Answer:
3%
Step-by-step explanation:
46.35 - 45 = 1.35 (change)
change/original price X 100
1.35/45 = 0.03
0.03 X 100 = 3
sales tax 3%
Help plz I don’t know how do this I’m am so confused I’m this
Answer: Example for ratio: For every 1 bike there are two wheels
Example for rate: A jet is traveling 460 mph
Step-by-step explanation:
In a high school football stadium, there are 3,892 seats. The stadium has 14 sections. Each section has the same number of seats.
How many seats are in each section?
PLZ help!!!!!! :(
Answer:
278, pls brainliest
Step-by-step explanation:
Answer:
278 seats per section
Step-by-step explanation:
Division
The division allows us to divide or 'share' numbers to find the answer to a problem.
For example, to evenly share 10 sweets between 5 kids, we use division to find 10/5 = 2 sweets per kid.
It's given a high school football stadium has 3,892 seats distributed in 14 sections and each section has the same number of seats.
To find the number of seats in each section we use division:
3,892 seats / 14 sections = 278 seats per section
Find the 10th term in the
following sequence:
-21, -27, -33, -39,
solve . 15 - 10x = 5(x + 9) show your work
Answer:
x= -2
Step-by-step explanation:
Let's solve your equation step-by-step.
15−10x=5(x+9)
Step 1: Simplify both sides of the equation.
15−10x=5(x+9)
15+−10x=(5)(x)+(5)(9)(Distribute)
15+−10x=5x+45
−10x+15=5x+45
Step 2: Subtract 5x from both sides.
−10x+15−5x=5x+45−5x
−15x+15=45
Step 3: Subtract 15 from both sides.
−15x+15−15=45−15
−15x=30
Step 4: Divide both sides by -15.
−15x/-15 = 30/ -15
x= −2
Find the output, y, when the input, x, is 7 Y=
Answer:
y = 4
Step-by-step explanation:
Locate x = 7 on the x- axis, go vertically up to meet the graph at (7, 4 )
Then when x = 7, y = 4
Answer:
According to the above graphical figure it is found that,
When the input value of x is 7, output value of y is 4.
Location on the graph → (7,4).
y=4 is the right answer.Solve the proportion
20/3 = ?/6
Answer:
40
Step-by-step explanation:
3 x 2 = 6 so then 20 x 2 = 40
