Answers
Answer:
1. [tex]\sqrt{218}[/tex]
2. [tex]\sqrt{89}[/tex]
3. [tex]2\sqrt{17}[/tex]
Step-by-step explanation:
The formula to find the distance between any two points on a coordinate plane is as follows:
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the two points one is trying to find the distance between. Substitute the points in and solve for the distance between them for each respective problem.
1.
Points: [tex](-4, 6),\ \ (3, -7)[/tex]
Substitute into the formula,
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}[/tex]
Simplify,
[tex]D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}[/tex]
[tex]D=\sqrt{(-4-3)^2+(6+7)^2}[/tex]
[tex]D=\sqrt{(-7)^2+(13)^2}[/tex]
[tex]D=\sqrt{49+169}[/tex]
[tex]D=\sqrt{218}[/tex]
2.
Points: [tex](-6, -5)\ \ (2,0)[/tex]
Substitute into the formula,
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}[/tex]
Simplify,
[tex]D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}[/tex]
[tex]D=\sqrt{(-6-2)^2+(-5-0)^2}[/tex]
[tex]D=\sqrt{(-8)^2+(-5)^2}[/tex]
[tex]D=\sqrt{64+25}[/tex]
[tex]D=\sqrt{89}[/tex]
3.
Points: [tex](-1, 4)\ \ (1,-4)[/tex]
Substitute into the formula,
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}[/tex]
Simplify,
[tex]D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}[/tex]
[tex]D=\sqrt{(-1-1)^2+(4+4)^2}[/tex]
[tex]D=\sqrt{(-2)^2+(8)^2}[/tex]
[tex]D=\sqrt{4+64}[/tex]
[tex]D=\sqrt{68}[/tex]
[tex]D=2\sqrt{17}[/tex]
Related Questions
can anyone help me solve this function please?
Answers
Answer:
f(-5) = 19
Step-by-step explanation:
f(t) = -3t+4
Let f(t) = 19
19 = -3t+4
Subtract 4 from each side
19 - 4 =-3t+4-4
15 = -3t
Divide each side by -3
15/-3 = -3t/-3
-5 = t
Answer:
the answer is -5
Step-by-step explanation:
F(t)=-3(t)+4
it told you that F(t) is equal to 19
so -3*-5=15+4=19
cos(-x) = -cosx for all values of x.
True or false?
Answers
what is n (AUB) if (A)=25,n(B) = 10 and BCA
Answers
Answer:
35
Step-by-step explanation:
It is in the above photo .
10. State the divisibility rules for 4 and 8 and check if the number 684572 is divisible by 4 and 8.
Answers
Answer:
yes the number is divisible by 4 in which we get 171143 without any decimal but if we try to divide it by 8 then we get
85571.5 with decimal include
These are AP statistics multiple choice questions. I don’t know if I got them correct but can double you check for me?
Answers
Answer:
first question
mean = 5.11
median = 6
mean = sum of the terms
number of terms
= 271
53
= 5.11
median is the 27th (arrange lowest to highest number)
conclusion, the median is higher than mean, the answer is B.
sec question
a is the answer
third question
a is the answer
last question
mean = 60838
median = 60000
the answer is B
Khan Academy Shape: Pentagon Khan Academy HELP PLEASE - x=
Answers
Answer:
x=100 degrees
Step-by-step explanation:
Answer:
x = 100 degrees
Step-by-step explanation:
I need help urgent Please will give brainly
Answers
Answer:
The order you placed it in at first was correct.
Step-by-step explanation:
MARKING BRAINLIEST !! using the distance formula falculate the perimeter of the triangle below
a. 27.9 units
b. 24.3 units
c. 25.7 units
d. 28.2 units
Answers
Answer:
a
Step-by-step explanation:
i didn't use the distance formula, instead i used the pythagrean theorum. i counted the units for the legs, and made three smaller triangle and solved them to find the lengths of the hypotenuse and the added the three of those together to find the perimiter of the original triangle
A piece of wire 6 cm long weighs 30 grams. What is the weight of an 8 m length of the same wire?
A) 400 grams
B) 425 grams
C) 640 grams
D) 4000 grams
Answers
Answer:
4000 gm
Step-by-step explanation:
We can use ratios to solve
Change 8 m to cm
8m * 100cm/1m = 800 cm
6 cm 800 cm
------------- = ------------
30 grams x gm
Using cross products
6 * x = 800 * 30
6x = 24000
Divide by 6
6x/6 = 24000/6
x = 4000 gm
What is the value of x in the equation 0.7x – 1.4 = -3.5?
O -7
Ο Ο Ο Ο
3
7
Answers
Add 1.4 to both sides:
0.7x=-2.1
Divide 0.7 to both sides:
x=-3
11(5) - 11(4) I really need helpon this
Answers
[tex]Hello[/tex] [tex]There![/tex]
The answer is....
[tex]11.[/tex]
Hopefully, this helps you!
[tex]AnimeVines[/tex]
Answer:
The answer is 11.
Step-by-step explanation:
(11*5)-(11*4)=???
11*5=55
11*4=44
55-44=11.
2 17× 415 find this answer
Answers
Answer:
[tex]217 \times 415 \\ \\ \\ \\ \\ \\ \\ = 90055[/tex]
it's was helpful to you ❣️❣️
Hope this was helpful, please like :))
suppose the two vertical angles are measuring 6x + 15 and 4x + 32. what is the measure of each angle?
Answers
Answer:
measure of both angle is 66
Step-by-step explanation:
vertical angles are equal so,
6x+15=4x+32
6x-4x=32-15
2x= 17
X=8.5
now,
4X+32
= 4×8.5 +32
= 66
Determine whether each relation is a function
Please help I dont wanna fail math this year
Thanks
(I am in Algebra 1 btw)
Answers
3. Find the volume of this rectangular prism in cm³
Answers
In your own words, what does supplementary mean?
Answers
Answer:
added or serving as a supplement.
find the value proportion :x : 35:98:60
Answers
Answer:
x/35=98/60
x=7/6
The value of x is 7/6
Subtract: 2 -(-6)
I don’t get it at all :/
Answers
Answer: 2 -(-6) = 2 + 6 = 8
* (+) - (-) = (+)
If helpful, brainliest please !
Answer and Step-by-step explanation:
If you're confused by what this expression means by looking at it, then try writing or saying out loud the expression.
Two minus negative 6. (2 - (-6))
We know from math that when two negative numbers multiply together, they result in a positive.
We have here the negative 1 (represented as just -, because it isn't necessary to include 1 in the expression) multiply the negative 6.
-1 * -6 = +6.
Now we have the expression 2 + 6.
Add them together.
2 + 6 =
8
8 is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Form a linear equation for the given statement and draw its graph:
Taxi fare for the first km is charged at Rs 20 and Rs 10 is charged for another extra
1 km.
Answers
Step-by-step explanation:
See the image for solution
Hope it helps
Have a great day
please help me for my homework
Answers
Answer:
49/100
Step-by-step explanation:
Answer:
Decimal Fraction Percentage
0.49 49/100 49%
Find the coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y).
A. (−7, −3)
B. (−5, −3)
C. (−3, −1)
D. (−7, −1)
Answers
Hope it helpss
The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The rule of the translation is given below.
(x, y) → (x − 2, y)
The coordinates of the image of J (−5, −1). Then the location of the point J after the translation will be
(x, y) → (x − 2, y)
(−5, −1) → (−5 −2, −1)
(−5, −1) → (−7, −1)
The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.
More about the transformation of a point link is given below.
https://brainly.com/question/27224339
#SPJ2
Describe a relationship between two sets that you can describe mathematically
Answers
Answer:
LOVE and CARING for each other
Step-by-step explanation:
(x + 3)(x-8)
Multiply and simplify
Answers
[tex](x+3)(x-8)=x\cdot x+x\cdot(-8)+3\cdot x+3\cdot(-8)=\\\\=x^2-8x+3x-24=\boxed{x^2-5x-24}[/tex]
Step-by-step explanation:
Multiple:
=x^2-24+3x-8x
=x^2-24-5x
=x^2-5x-24
Simplify:
x^2-5x-24=0
(x-8) (x+3) =0
x= 8 x= -3
Mrs. Eskew saved her money for 32 years and had $4,119,184 in the bank. She used her money to go a vacation for a month and spent $978,349. How much did she have left after her vacation?
Answers
Answer:
$3,140,835
Step-by-step explanation:
4,119,184-978,349=3,140,835
hope this helped!
What does the term "cube root" mean?
Answers
What is $4.32 • 20= ???
I have never seen • in a math question before and I looked it up and it didn’t tell me anything. So can someone help me plzzz
Answers
find product of :(2x-y)(2x+3y).
Answers
Answer: 4x² + 4xy - 3y²
Concept:
When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:
First, which means multiplying the first terms together;Outer, which means that we multiply the outermost terms when the binomials are placed side by side;Inner, which means multiply the innermost terms together;Last, which means that we multiply the last term in each binomial together.Solve:
Given
(2x - y) (2x + 3y)
Expand parentheses and apply the FOIL method
=4x² + 6xy - 2xy - 3y²
Combine like terms
=4x² + (6xy - 2xy) - 3y²
=[tex]\boxed{4x^2+4xy-3y^2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
A soda company has determined that it's profit during lunch on a given day
could be modeled by the function P(s)=-1/3s^2+ 10s + 8 where P is the profit
and s is the number of sodas sold. Determine the amount of sodas that would
maximize profit and how much the company would earn.
Answers
9514 1404 393
Answer:
15 sodas will give a maximum profit of 83
Step-by-step explanation:
For quadratic ax^2 +bx +c, the maximum occurs at x = -b/(2a). Here, we have ...
a = -1/3, b = 10
x = -b/(2a) = -10/(2(-1/3)) = 15
The profit for sale of 15 sodas is ...
P(15) = (-1/3s +10)s +8 = (-1/3(15) +10)(15) +8 = 5(15) +8 = 83
The company would earn a maximum of 83 from sale of 15 sodas.
Which graph shows the function f(x) = x with an input of f(x – 3)?
Answers
According to the diagram above how long is the unknown piece
Answers
Answer:
17 mm
Step-by-step explanation:
11+? = 28
is the same as
28-?=11
The answer is 17mm.
Please mark me as brainliest if that helped. Thank you! ;)
