What best describes the distance between two points with coordinates (2,-3) and (-4,2)
Answers
Answer:
Option c (7.8) is the correct alternative.
Step-by-step explanation:
The given points are:
(x₁, y₁) = (2, -3)
(x₂, y₂) = (-4, 2)
As we know,
The distance between two points will be:
= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
On substituting the values, we get
= [tex]\sqrt{(-4-2)^2+(2-(-3))^2}[/tex]
= [tex]\sqrt{(-4-2)^2+(2+3)^2}[/tex]
= [tex]\sqrt{(6)^2+(5)^2}[/tex]
= [tex]\sqrt{36+25}[/tex]
= [tex]\sqrt{61}[/tex]
= [tex]7.8 \ units[/tex]
Related Questions
2s+4=5(−4−2s)2, s, plus, 4, equals, 5, left parenthesis, minus, 4, minus, 2, s, right parenthesis
s =s=s, equals
Answers
12 1/3 +6 2/5 reduce these into lowest terms
Answers
Answer:
18 11/15
Step-by-step explanation:
This is the answer because:
1) First, find the common denominator: 12 1/3 = 12 5/15 and 6 2/5 = 6 6/15
2) Then add the fractions: 12 5/15 + 6 6/15 = 18 11/15
3) 18 11/15 is reduced to the lowest terms because 11 is a prime number.
Therefore, 18 11/15 is the answer.
Hope this helps! :)
Answer:
52.7
Step-by-step explanation:
121/3= 40.33
62/5= 12.4
40.3+12.4=52.7
plz mark me as brainliest.
Max measures the angles in a triangle.
He says the angles are 50°, 35º and 85°,
Explain why Max cannot be correct.
Answers
Answer:
Max cannot be correct because a triangle is made up of three angles, whose sum is 180°. Max's answers add up to 170°
Solve the exponential equation for x
3^7x+4=(1/27)^x-3
Answers
Answer:
The solution is [tex]x = \frac{1}{2}[/tex]
Step-by-step explanation:
To solve this exponential equation, we must write both sides as powers of 3.
The equation given is:
[tex]3^{7x + 4} = (\frac{1}{27})^{x-3}[/tex]
Since [tex]3^3 = 27[/tex], we have that [tex]3^{-3} = \frac{1}{3^3} = \frac{1}{27}[/tex], so[tex]\frac{1}{27} = 3^{-3}[/tex]
Then
[tex]3^{7x + 4} = (\frac{1}{27})^{x-3}[/tex]
[tex]3^{7x + 4} = (3^{-3})^{x-3}[/tex]
[tex]3^{7x + 4} = 3^{-3(x-3)}[/tex]
[tex]3^{7x + 4} = 3^{-3x + 9}[/tex]
Since both sides are now powers of 3, we can equal them:
[tex]7x + 4 = -3x + 9[/tex]
[tex]10x = 5[/tex]
[tex]x = \frac{5}{10}[/tex]
[tex]x = \frac{1}{2}[/tex]
The solution is [tex]x = \frac{1}{2}[/tex]
In a fruit cocktail, for every 12ml of orange juice you need 8ml of apple juice and 50ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form
Answers
Answer:
4:25:6 would be the simplest form
Giving Brainlest !!!!! If your bank offered you 3% interest on $5,000 in your savings account , how much money would you have in your account at the end of the year after interest ?
Answers
Answer: $5,150
Step-by-step explanation:
5000x0.03=150+5000=5,150
If cos theta =12/13.find 1+cot theta
Answers
Answer:
17/5
Step-by-step explanation:
If cosθ = 12/13, find (1+cotθ)
As shown in the diagram attached,
Cotθ = 1/tanθ = adjacent/opposite
From the diagram attached,
cotθ = 12/a................... Equation 1
But we can find the value of a by using pythagoras theorem
13² = 12²+a²
169 = 144+a²
a² = 169-144
a² = 25
a = √25
a = 5.
Substitute the value of a into equation 1
Therefore,
cotθ = 12/5
(1+cotθ) =(12/5)+1 = (5+12)/5
(1+cotθ) = 17/5
Pleaseeeee help!!! I’ll give you best answer!!!!
Solve the equation with the quadratic formula *
10) 3x² =-10x – 5
1-5+2V10 -5 - 2V10
A)
3
3
-5+ V10 -5 - V10
B)
3
3
25
C) -4
4
15+ V10 5 - V10
D)
33
Answers
Answer:
B) x = (-5 + √10)/3 and (-5 - √10)/3 is the answer.
Step-by-step explanation:
3x² + 10x + 5 = 0
a = 3
b = 10
c = 5
Finding the Discriminant (D),
D = b² - 4ac
D = 10² - 4 × 3 × 5
D = 100 - 60
D = 40
√D = 2√10
Using quadratic formula,
x = (-b ± √D)/2a
x = (-b + √D)/2a
x = (-10 + 2√10)/2 × 3
Taking out the common factor 2,
x = (-5 + √10)/3
Similarly,
x = (-b - √D)/2a
x = (-10 - 2√10)/2 × 3
x = (-5 - √10)/3
Answer:
[tex]\huge \red {\bigg \{\frac{ - 5 + \sqrt{10}}{3}, \: \: \frac{ - 5 - \sqrt{10}}{3}\bigg \}}[/tex]
Step-by-step explanation:
[tex]3 {x}^{2} = - 10x - 5 \\ 3 {x}^{2} + 10x + 5 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 3 \: \: b = 10 \: \: c = 5 \\ now \: by \: quadratic \: formula \\ x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\ plug \: a = 3 \: \: b = 10 \: \: c = 5 \: in \: the \\ above \: formula \\ x = \frac{ - 10 \pm \sqrt{ {(10)}^{2} - 4(3)(5) }}{2 \times 3} \\ x = \frac{ - 10 \pm \sqrt{ {100} - 60}}{6} \\ x = \frac{ - 10 \pm \sqrt{40}}{6} \\ x = \frac{ - 10 \pm2 \sqrt{10}}{6} \\ x = \frac{ 2(- 5 \pm \sqrt{10})}{6} \\ x = \frac{ - 5 \pm \sqrt{10}}{3} \\ x = \purple{ \bold{\bigg \{\frac{ - 5 + \sqrt{10}}{3}, \: \: \frac{ - 5 - \sqrt{10}}{3}\bigg \}}}[/tex]
Liz has 4 times as many points as Joey in a video game. Together they have fewer than 150 points. Which inequality can be used to determine the least number of points that Joey can have?
A. 4x+4<150
B. 4x+4≤ 100
C. 4x+x<150
D.4x+x≥150
I will select u as brilliant :)
Answers
Answer:
C. 4x + x < 150
Step-by-step explanation:
x = Joey's points
4x = Liz's Points
together they have fewer than 150 points means the inequality is < 150
So the answer is: 4x + x < 150
Answer:
This may help you I think so
This is a relative frequency table. Can some one help?
Answers
Answer:
Step-by-step explanation:
it's an unfair question b/c we have to know if it's out of all girls or out of all kids. So we need to know the population total. so if it was just girls the it's
3/45 = 0.0666666666666...
if it's out of kids.. then it's 3/123= 0.02439....
so that's the two choices.. which one is on the list of choices? both are so that's why this is an unfair question. maybe this is more to the question not shown in the picture? hmmmm
Beth wants to buy Christmas lights to decorate her new home. At various stores, Beth found lights priced from $6.99 a strand to $25.99 a strand. Beth bought almost $200 worth of the cheapest lights so that she could have as many lights on her house as possible. For Beth, Christmas lights are a(n) _____.
Answers
Answer:
Christmas lights are price based shopping products
Step-by-step explanation:
From the question we understand that, Beth bought as many cheapest lights as possible. This means that she places value over quantity than quality.
The above is an illustration of price based shopping products where customers (in this case, Beth) see all products (in this case, Christmas lights) as similar products, irrespective of their different qualities (after all, they all light Christmas trees).
Because of this, the customer will opt for least expensive items, leaving the more expensive items.
A coach of a baseball team orders hats for the players on his team. Each hat costs $9.95. The shipping charge for the entire order is $5.00. The total cost of the coach's order is less than $125.00. What inequality can be used to determine the greatest number of hats, h, the coach orders
Answers
Answer:
H ≤ 125
Step-by-step explanation:
The coach can order 12 hats
The deer population at the local reserve grows exponentially. The current population is 125 deer and the relative growth rate is 16% per year. Find the number of years required for the deer population to be 400.
Answers
Answer:
About 7.84 years before the deer population is 400
Step-by-step explanation:
So first we write our equation
125(1.16)^x = 400
Then we divide all sides by 125
1.16^x=3.2
x log 1.16 = log 3.2
06445798922x=0.50514997832
x= 7.83688700862
7.83688700862 years to go!
4 more than 5 times a number
Answers
Answer:
5x + 4
Step-by-step explanation:
4 more = +4
5 times a number = 5x
Somebody please help me. This is geometry. The goal is to find the missing side with A similarity statement. But the more I try on this, it becomes more confusing. Please help. Thx.
Answers
Answer:
50Step-by-step explanation:
Given:
qrst ~ nkpmThe ratio of corresponding sides (consider the order of letters in the name of figures):
rs/ kp = qt / nmrs / 35 = 60 / 42rs = 35*60/42rs = 50Answer:
Solution given:
qrst~nkpm
since the side of similar quadrilateral are proportional so
qt/mn=rs/kp
60/42=?/35
?=60/42×35=50
missing side =50 is your answer
The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers feed each participant the same diet. On the third day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. What is the purpose of double-blinding?
a. To control unintentional researcher bias in the execution of the experiment
b. To control for the participants' prior beliefs about energy drinks
c. To control both unintentional research bias and participant prior beliefs
Answers
Answer:
C. To control both unintentional research bias and participant prior beliefs
Step-by-step explanation:
Double blinding is a type of study where neither the participants nor the researchers know the treatment or intervention that the participants receive until the whole study/research is completed. This is very important because it means that the results gotten from the study have a very slim chance of being biased.
Thus,the correct answer is option C as it includes both the researcher and the participants
A company manufacturing a roadside lighting system wants to estimate the average illuminance (brightness) at sunset. The illuminance at sunset for the past 10 days was as follows: 406, 385, 389, 383, 352, 379, 388, 343, 368, 387 lux. Construct a 95% confidence intervals for the average illuminance at sunset. Assume that the illuminance at sunset is approximately normally distributed.
Answers
Answer:
(364.595 ; 391.405)
Step-by-step explanation:
Given the sample data:
406, 385, 389, 383, 352, 379, 388, 343, 368, 387
Using calculator :
Sample mean, xbar = 378
Standard deviation, s = 18.74
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/√n
TCritical at df = 24 ; 0.05 = 2.262
Margin of Error = 2.262 * 18.74/√10 = 13.405
Lower boundary = (378 - 13.405) = 364.595
Upper boundary = (378 + 13.405) = 391.405
(364.595 ; 391.405)
5647+34566= please hurry and answer don't put the answer in a link
Answers
Answer:
40213........................
Answer:
5647+34566=40213 is your answer
What is the answer no links no links I will report the answer is not 20%
Answers
Answer:
25%
Step-by-step explanation:
28 to 46 consists of 1 whisker so that's 1/4
2 whiskers = 1/2 = 50%
The IQR = 1/2 = 50%
1/4 = 25%
at a high school, there are 3,510 students. the ratio of seniors to juniors to sophomores to freshmen is 4:6:5:3. How many students are in each class
Answers
Answer:
seniors: 780
juniors: 1170
sophomores: 975
freshmen: 585
Step-by-step explanation:
4 + 6 + 5 + 3 = 18
3510/18 = 195
195(4) = 780
195(6) = 1170
195(5) = 975
195(3) = 585
A. Determine if the given figure is a polygon or not. Write P if it is a polygon
and NP if it is not.
Answers
Polygon: "a plane figure with at least three straight sides and angles, and typically five or more."
1. P
2. NP
3. P
4. NP
5. P
"A planar polygon is convex if it contains all the line segments connecting any pair of its points."
1. C
2. NC
3. NC
4. C
5. NC
find the diagonal that goes through the 3D shape.
Answers
Answer:
Diagonal = 13 yd
Step-by-step explanation:
The diagonal of the 3D shape can be solved using the extension of the pythagorean theorem, which is given as: d² = a² + b² + c²
Where,
a = 12 yd
b = 3 yd
c = 4 yd
d = diagonal
Plug in the values
d² = 12² + 3² + 4²
d² = 169
d = √169
d = 13 yd
Directions: Evaluate the following combinations and determine the value of the
unknown. Write the complete solutions in your answer sheet.
1. nCs = 126
2. 10Cr= 252
3. C(n, 5) + 8 = 9
4. C(n+1, 7) = 01
5. C(6r, 6-1) = 12 + C(4,2)
what is the answer with solution po
Answers
Answer:
1. C(9,4) : n=9, s=4
2. C(10,5) : r=5
3. C(5,5) : n=5
4. C(7,7) : n=6
5. C(18,17) : r=3
Step-by-step explanation:
Dave's Candy Store is having a 15% off sale on gourmet candy. Jamal paid $37.40 for a gourmet candy basket that was on sale. What was the original price of the candy basket?
Answers
Why: 37.40 x 0.15
= 5.61
(So the discount was $5.61)
Add it back into the sale...
$43.01
The original price of the gourmet candy is $44, as per linear equation.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."
Given, the percent of discount at Dave's candy store is 15% = 0.15.
Sale price of a gourmet candy is $37.40.
Let, the original price of the gourmet candy is x.
Therefore, [x - (x × 0.15)] = 37.40
⇒ (x - 0.15x) = 37.40
⇒ 0.85x = 37.40
⇒ x = (37.40/0.85)
⇒ x = 44
Therefore, the original price of the gourmet candy is $44.
Learn more about a linear equation here: brainly.com/question/2984088
#SPJ2
Violet is making pizzas for a pizza party. Each pizza requires 5/16 pound of cheese. How many pounds of cheese does she need to make 11 pizzas? Express your answer in simplest form.
Answers
Explanation 5/16 times 11/1 =55/16
55 divided by 16= 3 7/16
A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?
Answers
Answer:
3
one
will represent
the student
PLEASE HELP ASAP ???
Answers
Answer:
-1
Step-by-step explanation:
A lumberyard charges $ 1 per cut to trim boards. Bob buys a 12-ft board and wants it out into twelve 1-ft pieces. How much will he be charged for the cutting? The correct answer is $11.
Answers
Answer:11
Step-by-step explanation:
There are 11 cuts to make 12 pieces on 1ft each
Please help!!! ABCD is a square with diagonals intersecting at E. What is the length of BE
Answers
Answer:
[tex]BE = 4\sqrt2[/tex]
Step-by-step explanation:
Given
The attached square
Required
Find BE
First, we calculate BD (the diagonal) using Pythagoras theorem.
[tex]BD^2 = BA^2 + AD^2[/tex]
Since the shape is a square, then
[tex]BA = AD = 8[/tex]
So:
[tex]BD^2 = 8^2 + 8^2[/tex]
[tex]BD^2 = 2(8^2)[/tex]
Take square roots
[tex]BD = \sqrt{2(8^2)[/tex]
[tex]BD = \sqrt{2} * 8[/tex]
[tex]BD = 8\sqrt{2}[/tex]
BE is half BD.
So:
[tex]BE = \frac{1}{2} * BD[/tex]
[tex]BE = \frac{1}{2} * 8\sqrt2[/tex]
[tex]BE = 4\sqrt2[/tex]
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form.
b. Express the ratio 20cm to 15m in the form 1: n
c. Express the ratio 60 cm to 20 m in the form 1 : n
Answers
Answer:
Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.
Answer:
Step-by-step explanation: