Please solve equation
-3x2+243=0
Answers
-3x^2 + 243 = 0
Bring 243 to the right.
-3x^2 = -243
Divide by -3.
x^2 = 243/3 = 81
Tak the square root of both sides.
x = 81^1/2 = 9.
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Complete the equation a^1/2×a___=a
Answers
Rose's money = P + PrtRose's money = 2600 + 2600(0.041)(9)Rose's money = $3559.4
Dennis' money = 2200 + 2200(0.057)(9)Dennis' money = $3328.6
Thus, Rose has the greater amount of money and is $230.4 greater than Dennis.
Answer:
Rose has greater total amount of money than Dennis by $230.8 .
Step-by-step explanation:
Formula
Amount = Principle + Simple interest
As given
Rose and Dennis each open a savings account at the same time.
Rose invests $2,600 in an account yielding 4.1% simple interest for 9 years .
Put all the values in the formula
Simple interest = $959.4
Thus
Amount = $2600 + $959.4
Amount = $ 3559.4
Thus total amount in the Rose saving account is $3559.4 .
As given
Dennis invests $2200 in an account yielding 5.7% simple interest for 9 years .
Put all the values in the formula
Simple interest = $1128.6
Thus
Amount = 2200 + 1128.6
Amount = $ 3328.6
Thus total amount in the Dennis saving account is $ 3328.6 .
As clearly Rose has greater amount of money as compared to Dennis .
Greater amount Rose has = Amount in the Rose saving account - Amount in the Dennis saving account .
Put values in the above
Greater amount Rose has in saving account = $3559.4 - $3328.6
= $ 230.8
Therefore the Rose has greater total amount of money than Dennis by $230.8 .
Answers
Answer: It is an isometry.
The transformation is done over a line of reflection.
Step-by-step explanation:
A reflection is a transformation that flips a figure on the coordinate plane across a given line without changing the shape or size of the figure.
From the definition of reflection, the figure and its image are congruent ,thus it is an isometry.
It does not slides a plane or flips a plane and does not changes the size of the figure.
It is an isometry and the transformation is done over a line of reflection. Option (a) and option (c) is correct.
Further explanation:
Given:
The statements about reflection are as follows,
(a). It is an isometry.
(b). It slides a plane.
(c). The transformation is done over a line of reflection.
(d). It flips a plane about a fixed line.
(e). It changes the size of the figure being reflected.
Explanation:
Isometryis a mapping of space to another space so that the length between the points is same as the length in the original space. Translation and the rotation are the isometries of plane.
Reflection is a transformation. The preimage is just flipped along a line of reflection to get a new image.
It is an isometry and the transformation is done over a line of reflection.
Option (a) is correct.
Option (b) is not correct.
Option (c) is correct.
Option (d) is not correct.
Option (e) is not correct.
Learn more:
- Learn more about inverse of the function brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Number System
Keywords: statements, true, reflection, isometry, slides, plane, transformation, done, over, line of reflection, flips, plane, fixed line, changes, the size, reflected, translation.