Answer: Exact Form:
√
97
6
Decimal Form:
1.64147630
Btw that's 97 radical 6
~ zachary
Answer:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
Step-by-step explanation:
We have the two points: (2, 5/2) and (8/3, 1).
And we want to find the distance between them.
So, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(\frac{8}{3}-2)^2+({1-\frac{5}{2})^2[/tex]
Evaluate the expressions within the parentheses. For the first term, we can change 2 to 6/3. For the second term, we can change 1 to 2/2. So:
[tex]d=\sqrt{(\frac{8}{3}-\frac{6}{3})^2+({\frac{2}{2}-\frac{5}{2})^2[/tex]
Evaluate:
[tex]d=\sqrt{(\frac{2}{3})^2+(-\frac{3}{2})^2[/tex]
Square:
[tex]d=\sqrt{\frac{4}{9}+\frac{9}{4}[/tex]
Add. We can change 4/9 to 16/36. And we can change 9/4 to 81/36. So:
[tex]d=\sqrt{\frac{16}{36}+\frac{81}{36}}[/tex]
Add:
[tex]d=\sqrt{\frac{97}{36}}[/tex]
We can separate the square roots:
[tex]d=\frac{\sqrt{97}}{\sqrt{36}}[/tex]
Simplify. So, our distance is:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
The midpoint of a line segment is (−3,2). One endpoint of the line segment is (4,−7).
What are the coordinates of the other endpoint of the line segment?
Answer:
The other endpoint is (9, −6)
Step-by-step explanation:
(x1,y1)=(3,2) and M=(6,−2)
x1+x22=x and y1+y22=y
3+x22=6 and 2+y22=−2 ←×2
3+x2=12 and 2+y2=−4
x2=9 and y2=−6
The coordinates of the other endpoint of the line segment are [tex]Y(x,y) = (-10, 11)[/tex].
Vectorially speaking, the midpoint of a line segment is determined by the following expression:
[tex]M(x,y) = \frac{1}{2}\cdot X(x,y) + \frac{1}{2}\cdot Y(x,y)[/tex] (1)
Where:
[tex]M(x,y)[/tex] - Midpoint.[tex]X(x,y)[/tex], [tex]Y(x,y)[/tex] - Endpoints of the line segment.If we know that [tex]M(x,y) = (-3, 2)[/tex] and [tex]X(x,y) = (4, -7)[/tex], then the coordinates of the other endpoint is:
[tex]\frac{1}{2}\cdot Y(x,y) = M(x,y) -\frac{1}{2}\cdot X(x,y)[/tex]
[tex]Y(x,y) = 2\cdot M(x,y) -X(x,y)[/tex]
[tex]Y(x,y) = 2\cdot (-3,2)-(4,-7)[/tex]
[tex]Y(x,y) = (-6, 4) - (4, -7)[/tex]
[tex]Y(x,y) = (-10, 11)[/tex]
The coordinates of the other endpoint of the line segment are [tex]Y(x,y) = (-10, 11)[/tex].
We kindly invite to check this question on midpoints: https://brainly.com/question/17506315
What is the sum of (−9x4+6x3+2x5+6) and (3x5+3x4+7x3+8)?
Answer:
(−9x4+6x3+2x5+6)
(3x5+3x4+7x3+8)
Step-by-step explanation:
The answer to (−9x4+6x3+2x5+6) is -2
and the answer to (3x5+3x4+7x3+8) Is 56
Multiply or divide as Indicated.
x^-8 divided by x^-7
Answer:
x^1
Step-by-step explanation:
if you divide exponents with the same coefficients, you subtract the two exponents
What are the coordinates of the point (−1, 6) after a reflection across the x-axis
Answer:
(-1,-6)
Step-by-step explanation:
Because it is reflecting across the x-axis, the x value remains the same but the y value moves down the axis the same distance it was, meaning that the y part of the coordinate becomes the opposite.
For example, if (1,2) was reflected across the x-axis, it becomes (1,-2).
Evaluate the distance from -4 to 8.
Answer:
12
Step-by-step explanation:
-4 + 4 = 0
0 + 8 = 8
4 + 8 = 12
John earned $36 for 8 hours of work, Earnings are directly proportional with hours worked. How much did he earn when he worked 30 hours? O $135
Answer:
he earned 135 dolars
Step-by-step explanation:
Answer:
$135
Step-by-step explanation:
first you want to find out how much he makes for 1 hour
36/8=4.5
then you multiply 4.5 by 30 because he makes $4.5 an hour and you want to find out how much money he makes when working 30 hours
What is the constant in the equation
7
x
+
5
=
y
?
Answer:
7,and 5
Step-by-step explanation:
Bc a constant is the part of equation that contains a proper value.
If an investment account starts with $3900, and grows with 2.1% interest, compounded continuously. How much is the account worth after 10 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Answer:
If they are asking amount it is $4800.893013; $4800 (nearest dollar)
If they are asking the amount for interest is $900.8930129; $900 (nearest dollar)
Step-by-step explanation:
Compound interest Formula:
Amount = principle( 1+ rate/100)^n
Information from the question.
-So how you put it is the principle is $3900; the rate is 2.1%; the n is 10.
How to apply it?
- Just substitute in the values;
Amount=3900(1+2.1/100)^10
=4800.893013
~4800 ( nearest dollar)
》That is for amount.
Interest=4800.893013-3900
=900.893013
~900 ( nearest dollar)
》That is for interest.
Hope it helps!!!!:))
Answer:
Step-by-step explanation:
A=Pert=3900e(0.021)(10)≈4811.34
The account is worth $4811 after 10 years.
Which of the following should come next at the end of this row of letters? XOOOOXXOOOXXX:
a. oxxx, b. ooxx, c. xooo
Answer:
b
Step-by-step explanation:
The correct option that should come next at the end of this row of letters is OOXX.
What is a sequence?A sequence can be defined as an arrangement of letters or numbers in a particular manner.
If you look at the given sequence it can be seen as the set of 5 letters where X is starting the set while O is ending the series. Also, the number of X will tend to increase in the next set as well while the number of O will be reduced. Therefore, the series can be seen as,
XOOOO XXOOO XXXOO XXXXO
Thus, the correct option that should come next at the end of this row of letters is OOXX.
Learn more about Sequence:
https://brainly.com/question/21961097
Anna is a wildlife photographer. She wants to photograph woodpeckers, snowy owls, and hawks. In which biome can Anna find these birds? O A desert O B. tundra OC temperate deciduous forest O D. rainforest
Answer:
I think B but you should post this in geography not mathematics for a better answer.
Step-by-step explanation:
Answer:
B. Tundra
Step-by-step explanation:
Anna can find these birds in the tundra biome. Snowy owls habitats are in the tundra and do migrate to the northernmost regions of Canada, Europe, Asia and Alaska. Woodpeckers and hawks can also live in the tundra.
Consider this simplified algebraic expression:
12y - 5x + 15
Which of the following could be the original expression? Check all that apply.
12y – 20x + 15x + 15
U 10 – 5x + 5+ 6g - 6g
O 15x + 12y - 10x + 15
2xy + 10y - 7x + 15
14 - 4x + 15y - x +1-3y
Answer:
it is the first one and the last one
Step-by-step explanation:
2. What is the rule that relates values from a set of
values to a second set of values?
A. Function
C. Relation
B. Theorem
D. None of these
Answer:
Relation
Step-by-step explanation:
The rule that relates elements of one set to elements of another set is called "Relation". Functions are special types of Relations.
what is 1.2983 rounded to the nearest tenth
Answer:
1.3
Step-by-step explanation:
It round up
Answer:
1.3
Step-by-step explanation:
PLZ HELP FASTTTTTTTT
A bind is flying north with a mass of 2.5 kg has a momentum of 17.5 kg m/s. At what velocity
is it flying?
(P=m*v) P=momentum, m=mass, and v=Velocity,
Answer:
6 m/s
Step-by-step explanation:
Plug in the mass and momentum into the equation, and solve for v:
p = mv
17.5 = 2.5(v)
7 = v
So, the velocity is 6 m/s
Given the polynomial function
f(x)=x^3-4x^2+x+6
Write the original polynomial function in factored form.
Will award brainliest
I think the answer is (x+1)(x-2)(x-3)
Find the roots of
25
x
2
−
36
A.
5, 0
B.
5, -6
C.
0, 25
D.
−
6
5
,
6
5
Answer:
D. 65,65
Step-by-step explanation:
I think it's A?
I'm not sure though
El lado de un rectángulo mide el tiple de su ancho, si el perímetro mide 96 cm ¿cuáles son sus dimensiones?
Answer:
Ancho 12 cm, Largo 36 cm
Step-by-step explanation:
lamamos al ancho X y por tanto el largo será 3X
Como el perímetro es la suma de los 4 lados, tenemos la siguiente igualdad:
3X+3X+X+X=96 cm
8X=96 cm
X=96 cm/8
X=12 cm
El ancho mide 12 cm
Si el largo es el triple, entonces 3 x 12 = 36 cm
Workout the value of 3x-4y when x=3and y=2
Answer:
gimme your disc ill help
Step-by-step explanation:
Please help easy question
The Answer:
63° degrees
Answer:
63° degrees
Step-by-step explanation:
Which polynomial represents the area?
Answer:
A is the Answer.
Step-by-step explanation:
You multiply x with 2x ( Gives you 2x^2 ) then -1 with 2x ( Gives you -2x ) then -8 with x ( Gives you -8x ) then -1 with-8 ( Gives you +8 ), finally you add the two x's ( not x^2 ). Your fibal answer will be 2x^2 - 10x +8.
Hope this helps.
{(0, -8), (5, 3), (-4, 3), (9, 2)}
Given the following relation, which of the following sets below represent the Domain?
A.{-4, 0, 5, 9)
B. {-8, 2, 3}
C. (1,2,3)
D.{-8,-4, 0, 2, 3, 5, 9}
SOMEONE PLEASE HELP ILL GIVE BRAINLIEST
Answer: Its E,F, and H
Step-by-step explanation: There no way its not E,F, and H . C is a right angle so I believe the questions asking what other ones are right angles and that answer would be E,F and H.
A certain shade of green paint is made by mixing blue and yellow paint. The relationship between the number of quarts of blue paint in the mix, xx, and the number of quarts of yellow paint, yy, is represented by the graph below.
What does the ordered pair (2,102,10) indicate?
Answer:
2 quartz of the blue paint for every 10 quartz of yellow paint
Step-by-step explanation:
The graph shows the possible different amount of yellow paint and blue paint, in quartz, that can be mixed to obtain a shade of green paint.
On the graph, at the point with the coordinates pair of (2, 10), it means for we would require 2 quartz of blue paints to be mixed with every 10 quartz of yellow paint in order to get the shade of the green paint that we are looking for.
Answer: 2 quartz of the blue paint for every 10 quartz of yellow paint
Step-by-step explanation: good luck
5. Wnte a rational number
between 6 and 7.
Answer:
6.2
Step-by-step explanation:
decimals are rational numbers so you could do 6.2
Help pls
According to a food label on a box of cookies, each box has 16 servings and each serving contains 4 cookies. The weight of the box of cookies is 1/2 kilograms. What is the weight of each cookie?
Answer:
7.8125 grams
Step-by-step explanation:
As per the food label on the box of cookies, there are 16 servings in each box and each serving contains 4 cookies.
Therefore, each box of cookies contains (16 × 4) = 64 cookies.
If a box of cookies weighs kg i.e. 500 gram, then the weight of each cookies will be grams. (Answer)
Emma wants to stain a circular deck that has a diameter of 12 m. The cost of the wood stain is $3.25
per square meter.
To the nearest dollar, how much will it cost Emma to stain the entire deck?
Use 3.14 for
Answer:
$1469
Step-by-step explanation:
diameter of deck = 12 m
diameter = 2*radius
thus
12 m = 2*radius
radius = 12m / 2 = 6 m
area of circle is given by [tex]\pi r^{2}[/tex]
where r is the radius
thus, area of given deck with radius = 12 m
[tex]\pi r^{2} = 3.14*12^{2} \\=> 3.14*144 = 452.16[/tex]
Thus, area of given deck is 452.16 meter square
given
The cost of the wood stain is $3.25 per square meter
cost of 1 meter square wood stain = $3.25
since we have to find to stain the entire deck which has area 452.16 meter square , we multiply both side of equation by 452.16
cost of 452.16 meter square wood stain = $3.25*452.16 = $1469.25
Thus,
it will cost $1469 to the nearest dollar for Emma to stain the entire deck
please help it’s due in a couple of min
Answer:
C
I have done this.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The first 3 answer is wrong so Its d
Drag the tiles to go the boxes to form correct pairs
Answer:
math
Step-by-step explanation:
Answer: For Edmentum Multiply the sets of numbers and match them with their products.
(-3/4)(7/8)= -21/32
(5/16)(-2)(-4)(-4/5)= -2
(2/3)(-4)(9)= -24
(2 3/5) (7/9)= 91/45
Step-by-step explanation:
A reflection across the x-axis maps the point (4,-5) to the point
Answer:
(4,5)
Step-by-step explanation:
A reflection is a mirror image of the shape.
A reflection across the x-axis maps point (4,-5) to point (4. 5).
What is reflection?A reflection is a mirror image of the shape.
After the reflection, every point in a figure is equidistant from each corresponding point in the reflected figure.
We have,
A point = (4, -5)
The point is reflected across the x-axis.
The reflection formula is given as:
Reflection across the x-axis:
(x, y) → (x, -y)
Reflection across the y-axis:
(x, y) → (-x, y)
The point (4, -5) reflected across the x-axis is:
(4, -5) → (4, - (-5)) = (4, 5)
Thus,
A reflection across the x-axis maps point (4,-5) to point (4. 5).
Learn more about reflections here:
https://brainly.com/question/15487308
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