Drag each tile to the correct box
Arrange the following pairs of coordinates in order from least to greatest based on the distances between the points.
(4.1) and (2, 2)
(-5. 2) and (-3, -2)
(3.-4) and (-2, 1)
(-1.-2) and (1-4)
(5.-2) and (-1, -1)
Answer:
Step-by-step explanation:
Use the formula of distance between two points (x₁, y₁) and (x₂, y₂),
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
1). Distance between (4, 1) and (2, 2) = [tex]\sqrt{(4-2)^2+(1-2)^2}[/tex]
= [tex]\sqrt{5}[/tex]
= 2.24
2). Distance between (-5, 2) and (-3, -2) = [tex]\sqrt{(-5+3)^2+(2+2)^2}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47
3). Distance between (3, -4) and (-2, 1) = [tex]\sqrt{(3+2)^2+(-4-1)^2}[/tex]
= [tex]\sqrt{50}[/tex]
= 7.07
4). Distance between (-1, -2) and (1, -4) = [tex]\sqrt{(1+1)^2+(-4+2)^2}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.83
5). Distance between (5, -2) and (-1, -1) = [tex]\sqrt{(5+1)^2+(-2+1)^2}[/tex]
= [tex]\sqrt{37}[/tex]
= 6.08
Therefore, increasing order of the distance will be 2.24 > 2.83 > 4.47 > 6.08 > 7.07
Answer:
Use the formula of distance between two points (x₁, y₁) and (x₂, y₂),
Distance =
1). Distance between (4, 1) and (2, 2) =
=
= 2.24
2). Distance between (-5, 2) and (-3, -2) =
=
= 4.47
3). Distance between (3, -4) and (-2, 1) =
=
= 7.07
4). Distance between (-1, -2) and (1, -4) =
=
= 2.83
5). Distance between (5, -2) and (-1, -1) =
=
= 6.08
Therefore, increasing order of the distance will be 2.24 > 2.83 > 4.47 > 6.08 > 7.07
Step-by-step explanation:
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answer:
(0.5, -3.5)
Step-by-step explanation:
(x1 + x2/2, y1 + y2/2)
(-2 + 3 / 2, -5 - 2 / 2)
(1/2, -7/2)
Evaluate angles s and r, giving reason for your answer
Answer:
r=42 degrees
This is because of vertically opposite angles
s=68
This is because 180( angles in a triangle) minus ( 70 + 42) is equal to 68 degrees
Answer:
r = 42° , s = 68°
Step-by-step explanation:
r and 42° are vertical angles and are congruent , then
r = 42°
The sum of the 3 angles in a triangle = 180° , then
s = 180° - (70 + 42)° = 180° - 112° = 68°
An excursion group of four is to be drawn from among 5 boys and 6 girls.
Find :
a. the number of ways of choosing the excursion group if the group :
i. Is to be made up of an equal number of boys and girls.
ii. Is to be either all-boys or all-girls.
III. Has no restriction on its composition.
b. Whatis the probability that a random choice of numbers from the group will result in 3 boys and 1 girl.
Answer:
Because you are recounting people several times. Say for example, let us number those people
{1,2,3,4} for the four girls and {1,2…7} for the boys.
One possible combination by your way is to fix one boy and girl each, say
{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.
Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.
A correct way would be to choose girls and then choose 5− boys for 1≤≤4
So we get ∑4=1(4)(75−)=441
Answer:
We need group of 4 out of group of 5 + 6 = 11 people.
Part A
i)
2 boys and 2 girls:
5C2 * 6C2 = (5*4/2) * (6*5/2) = 150 waysii)
4 boys or 4 girls:
5C4 + 6C4 = 5 + 15 = 20 waysiii)
No restrictions:
11C4 = (11*10*9*8)/(4*3*2) = 330 waysPart B
Combination of 3 boys and 1 girl:
5C3*6C1 = (5*4/2)*6 = 60Total number of ways is 330 (found above)
Required probability:
P(3 boys and 1 girl) = 60/330 ≈ 0.1818 = 18.18%What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)
36 ft.
37.68 ft.
36.26 ft.
38 ft.
Answer:
37.68ft
Step-by-step explanation:
Answer:
37.68 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14 * 12
C =37.68 ft
10. What are the coordinates of point on the directed segment from A(2,-3) to B(8,-6) that
partitions the segment such that AC:CB is 4:2?
(1) (6,-5)
(3) (2,0)
(2) (-2, 2)
(4) (1, 1)
Answer:
(4, -4)
Step-by-step explanation:
Using the midpoint formula;
M(X,Y) = {(ax1+bx2)/a+b, (ay1+by2)/a+b}
X = (ax1+bx2)/a+b
Y = (ay1+by2)/a+b
Substitute
X = 4(2)+2(8)/4+2
X = 8+16/6
X = 24/6
X = 4
Also
Y = 4(-3)+2(-6)/6
Y = -12-12/6
Y = -24/6
Y = -4
Hence the required partition is (4, -4)
Given the equation −4square root of x minus 3 = -12, solve for x and identify if it is an extraneous solution.
A. x = 0, solution is extraneous
B. x = 0, solution is not extraneous
C. x = 12, solution is extraneous
D. x = 12, solution is not extraneous
Answer:
D. x = 12, solution is not extraneous
Step-by-step explanation:
-4√(x - 3) = -12
Divide both sides by -4
√(x - 3) = 3
Square both sides
x - 3 = 9
add 3 to both sides
x = 12
To see if it's extraneous plug into original problem
-4√(12 - 3) = -12
-4√(9) = -12
-4 * 3 = -12
-12 = -12
not extraneous
a shade of violet paint is made from 16 parts of blue paint mixed with 5 parts of red paint. If 4 cans of paint are used, how many cans of red paint should be used?
Answer: None because i dont like cans of paint
Step-by-step explanation: If you dont like cans then you wont like beans. So if d33z + nutz = d33znutz then cans + paint = canspaint
skins legendary skins 100 points epic skins 50 points rare skins 25 points uncommon skins 10 points common skins 5 points this is a game
legendary skins
epic skins
rare skins
uncommon skins
common skins
Answer:
so legendary is twice epic
epic is twice rare
rare is 2.5 uncommon
uncommon twice common
help y’all
What are the diferences between volume & area?
On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). Triangle ABC is translated 6 units to the right and 1 units up. What are the coordinates of C'? C'(4, –2) C'(4, –0) C'(4, 2) C'(1, 2)
Answer:
The answer is A
Step-by-step explanation:
C’(4, –2)
The coordinates of C' are (1, 0)
What is translation?A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.
Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).
When Triangle ABC is translated 6 units to the right and 1 units up.
We know that rule for translating b unit up and a unit right is
(x, y) → (x+a, y+b)
Hence, the coordinates for C' =
(-5, -1) = (-5+6, -1+1) = (1, 0)
Hence, the coordinates of C' are (1, 0)
For more references on translation, click;
https://brainly.com/question/12463306
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what is the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?
a. 1/3
b. 1/2
c. 2
d. 13
Answer:
x = 2
Step-by-step explanation:
Given
2.5(6x - 4) = 10 + 4(1.5 + 0.5x) ← distribute parenthesis on both sides
15x - 10 = 10 + 6 + 2x , that is
15x - 10 = 16 + 2x ( subtract 2x from both sides )
13x - 10 = 16 ( add 10 to both sides )
13x = 26 ( divide both sides by 13 )
x = 2
Answer:
2
Step-by-step explanation:
15x-10=10+6+2x
15x-2x=10+10+6
13x=26
divide 13 both sides
x=2
PLEASE HELP WILL MARK BRAINLIEST - An airplane travels 150 miles horizontally during a decrease of 35,000 feet vertically.
1. What is the angle of descent?
2. How long is the plane's path?
Answer:
[tex]\text{1. }2.53^{\circ},\\\text{2. }792,772.98\:\mathrm{ft}[/tex]
Step-by-step explanation:
Start by converting miles to feet:
[tex]150\text{ miles}=150\cdot 5280\text{ feet}=792000\text{ feet}[/tex]
Form a right triangle with the plane's displacement marking the hypotenuse of this triangle. We can now use basic trig for a right triangle to solve for the angle of descent.
Let the angle of descent be [tex]\theta[/tex]. In a right triangle, the tangent of an angle is equal to its opposite side divide by its adjacent side.
Therefore, we have:
[tex]\tan \theta=\frac{35000}{792000},\\\\\theta =\arctan(\frac{35000}{792000})=2.53036411\approx \boxed{2.53^{\circ}}[/tex]
In all right triangles, [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle (Pythagorean Theorem).
Therefore, the length of the plane's path is:
[tex]35,000^2+792,000^2=c^2,\\c^2=628489000000,\\c=\sqrt{628489000000}=792772.981376\approx \boxed{792,772.98\:\mathrm{ft}}[/tex]
Can someone please answer these 2 questions
Answer:
part 1: $532.95. Part 2: 16
Step-by-step explanation:
Part 1: 15 * 15.35 = 230.25
30 * 10.09 = 302.70
230.25 + 302.70 = $532.95
Part 2: R = letters in the word desk
there are 4 letters in the word Desk
[tex]2^{R}[/tex] = [tex]2^{4}[/tex] = 2 * 2 * 2 * 2 = 4 * 4 = 16 subsets
Will mark brainliest
Answer:
the answer would be 270
Step-by-step explanation:
i can explain later:
since x = 5, you plug it in f = 4x +7, and you get f = 27 and since 1/2x is in the denominator, it will flip over and become 2x. 2x is 10, so you multiply f by g and get 270 which is if f/g(5) is the question.
A 6) Set both given equations equal to zero, then combine them into one standard form
equation. Simplify if possible.
7x + 3 = 5 and y-1 = 6
Answer:
The standard equation is 7x + y = 9
Step-by-step explanation:
Equations given are:
7x + 3 = 5 and y - 1 = 6
Set both given equations equal to zero, then combine them into one standard form equation
Set the equations to zero by moving the constant from R.H.S to L.H.S
7x + 3 - 5 = 0
7x - 2 = 0 ---- eq 1
y - 1 = 6
y - 1 - 6 = 0
y - 7 = 0 ----- eq 2
We have to combine eq 1 and eq 2
7x - 2 + y - 7 = 0
7x + y - 9 = 0
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Thus the standard equation is:
7x + y - 9 = 0
7x + y = 9
Thus the standard equation is 7x + y = 9
Sal knows the volume of a cylinder is 500 cubic units. He wants to create a cylinder with twice the volume. Which variation of the original cylinder will have a volume of exactly 1,000 cubic units?
Find the distance between the pair of points: (0,-8)and (0,4)
Step-by-step explanation:
the answer is in the image above
Answer:
12
Step-by-step explanation:
[tex]\sqrt{0^{2} + 12^{2} }[/tex]
12
find the slope of the line
Answer:
Slope = 4
Step-by-step explanation:
Consider two set of point through which the line passes.
Let it be ( 0, 4 ) and ( -1 , 0)
Find slope .
[tex]Slope = \frac{rise}{run } = \frac{y_2 - y_ 1 }{x_2 - x_1} , \ where \ \ (x_1 , y_1) = (0, 4 ) \ and \ (x_2, y _ 2) = ( -1 , 0 )[/tex]
[tex]Slope = \frac{0-4}{-1-0} = \frac{-4}{-1} = 4[/tex]
The exponent on b when b^3 is multiplied by b^3 is
A. 3
B. 6
C. 9
Answer:
B. 6
Step-by-step explanation:
3³ x 3³ = 3⁶
The answer is 6
Answer:
B) 6
Step-by-step explanation:
The reason for this is really awesome and is clearly seen when you expand it.
x^3= x times x times x
x^3= x times x times x
x^3 times x^3= x times x times x times x times x times x= x^6
Two runners start from the same point at the same time. They will be 4 miles apart at the end of two hours if running in the same direction, and they will be 16 miles apart at the end of one hour if running in opposite directions. Find their speeds.
Answer:
runner 1 runs with 9 miles / hour
runner 2 runs with 7 miles / hour
Step-by-step explanation:
x = speed of runner 1
y = speed of runner 2
2 hours × (x miles / hour) - 2 hours × (y miles / hour) = 4 miles
2x - 2y = 4
x - y = 2
x = y + 2
1 hour × (x miles / hour) + 1 hour × (y miles / hour) = 16
x + y = 16
y + 2 + y = 16
2y + 2 = 16
2y = 14
y = 7 miles / hour
x = y + 2 = 9 miles / hour
Where? The crime was committed on the day and at one of the locations below, but which one? It happened where ALL the answers are true. B 5 cm oi -2 cm. 5 cm 9 cm 5 cm 3 cm 15 cm A 8 cm С 17 cm 8 cm 10 cm 1 cm 0.6 cm 7 cm D -15 cm 2 cm Monday in the gym The surface area of A is 150 cm 2. The volume of C is 8.4 cm 3 The volume of D is 750 cm The surface area of A is 1,500 mm 3 Tuesday in the dining The volume of B is 540cm room 3 The volume of D is 1200 cm 2 The surface area of A is 0.015 m 3 The volume of B is 0.00054 m The volume of D is 600 cm3 Thursday on the playing fields Friday in the maths classroom The surface area of A is 0.15 m 3 The volume of Dis 0.0006 m The volume of A is 125,000 mm3 The Accusation Who Where & when
9514 1404 393
Answer:
(C) Thursday on the playing fields
Step-by-step explanation:
The surface area of A is ...
SA = 6s² = 6(5 cm)² = 150 cm² = 150(0.01 m)² = 0.015 m²
This matches Monday and Thursday.
The volume of D is ...
V = Bh = (1/2bh)·h'
where b is the triangle base, h is the triangle height, and h' is the prism height.
V = (1/2)(15 cm)(8 cm)(10 cm) = 600 cm³
This matches Thursday only.
__
The Accusation: Thursday on the playing fields.
Answer:
{C} Thursday on the playing fieldWhich expression is equivalent to 10k + 17 - 7j - 18 - 11k?
-8jk - 1
-7j - k - 1
-7j + k + 1
-8j - k
PLEASE HURRY !!!!
20 POINTS!!!
Answer:
-7j-k-1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.
10k + 17 - 7j - 18 - 11k
10k -11k + 17 - 18 - 7j Move to group like terms together.
-k - 1 - 7j
Find mZHFG if mZEFG = 2x + 52, mZEFH = 21°, and mZHFG = 1 + 31
Answer:
m<HFG = 31
Step-by-step explanation:
We can say that m<EFH + m<HFG = m<EFG because of angle addition postulate. Now, we can substitute the values of the angles in.
21 + x + 31 = 2x + 52
x + 52 = 2x + 52
x = 0
Now, we substitute x into the expression of m<HFG:
m<HFG = x + 31
m<HFG = 0 + 31
m<HFG = 31
Simplify the expressions. 3p+-q-7r--8p-q+2r
Answer:
=11p-5r
Step-by-step explanation:
3p+(-q)-7r-(-8p)-q+2r=
3p-q-7r+8p-q+2r=
3p+8p-q-q-7r+2r=
11p-5r=
In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg? O A. sqrt2:1 O B. 1:1 Oc. C. 2:1 O D. 1:sqrt2
Answer:
B. 1 : 1
Step-by-step explanation:
the triangle has the same size of legs (the same angles 45°)
Help
Will
Give
Brainlist
Math
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
╭⋟───────────────
Sentence ⇻ The product of - 11 & - 7 gives 77.
Equation ⇻ [tex]\boxed{-11(-7)=77}[/tex].
───────────────⋞╯
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] RainbowSalt2^{2}2^{2}[/tex] ❦
Answer:
-11(-7) = 77
Step-by-step explanation:
"and" = multiplication sign in maths
Indicate the equation of the given line in standard form, writing the answer in the equation box below.
The line containing the longer diagonal of a quadrilateral whose vertices are A(2, 2), B(-2,-2), C(1, -1), and D16, 4).
9514 1404 393
Answer:
x -3y = 4
Step-by-step explanation:
A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)
We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1
For points (-2, -2) and (16, 4), this equation is ...
(4 -(-2))x -(16 -(-2))y = (4 -(-2))(-2) -(16 -(-2))(-2)
6x -18y = -12 +36
Dividing by the greatest common factor (6), we have the standard-form equation ...
x -3y = 4
Juan works at a retail store. He earns $6 an hour plus 1 $5 bonus each time he gets someone to sign up for the stores credit card.
Write a formula that will help Juan determine how much he will earn in one week.
a= total amount earned
h= hours worked in one week
b= number of cards sold in one week
Answer:
6h + 5b = a
Step-by-step explanation:
Using the following image, complete the statement below. I got all the answers I need the ones that is blank
Answer:
DE is congruent to BE , ED is congruent is EB and the last one is midpoint.
Step-by-step explanation:
