What part of the coordinate plane is equidistant from the points A(-3,2) and B(3,2)? Explain your answer.
Answers
points A(-3,2) and B(3,2)
we know that
The locus of points equidistant from two given points in a plane, is the straight line which is the perpendicular bisector of the segment connecting the two given points.
using a graph tool
see the attached figure
the answer is
The straight line x= 0 (which is "y-axis") is the locus of points that are equidistant from the given points
Answer;
(0,2)
Step-by-step explanation:
Related Questions
Lucas and Erick are factoring the polynomial
12x3 – 6x2 + 8x – 4. Lucas groups the polynomial (12x3 + 8x) + (–6x2 – 4) to factor. Erick groups the polynomial (12x3 – 6x2) + (8x – 4) to factor. Who correctly grouped the terms to factor? Explain.
Answers
12 x³ - 6 x² + 8 x - 4
Lucas:
( 12 x³ + 8 x ) + ( - 6 x² - 4 ) = 4 x ( 3 x² + 2 ) - 2 ( 3 x² + 2 ) =
= ( 3 x² + 2 ) ( 4 x - 2 ) = 2 ( 3 x² + 2 ) ( 2 x - 1 )
Erick:
( 12 x³ - 6 x² ) + ( 8 x - 4 ) = 6 x² ( 2 x - 1 ) + 4 ( 2 x - 1 ) =
= ( 2 x - 1 ) ( 6 x² + 4 ) = 2 ( 3 x² + 2 ) ( 2 x - 1 )
Answer:
Both students are correct. Each grouping leads to the same result.
Both students are correct because polynomials can be grouped in different ways to factor. Both ways result in a common binomial factor between the groups. Using the distributive property , this common binomial term can be factored out. Each grouping results in the same two binomial factors.
The area of a rectangular plot of land is given by the polynomial [tex] x^{2} [/tex] + 5x - 36.
Which pair of expressions could represent the sides of the plot of land?
A) (x - 4)(x - 9)
B) (x - 4)(x + 9)
Answers
You roll 2 dice. What is the probability that the sum of the dice is greater than 6 and 1 die shows a 2? A 6 X 6 table of dice outcomes will help you to answer this question ...?
Answers
11 21 31 41 51 61
12 22 32 42 52 62
13 23 33 43 53 63
14 24 34 44 54 64
15 25 35 45 55 65
16 26 36 46 56 66
Delete everything that doesn't have 2
21
12 22 32 42 52 62
23
24
25
26
Now delete everything that sums to 6 or less
52 62
25
26
and that's it; 4 left out of 36
Evaluate -3(-4) (-p)where p=9
Answers
if the domain of a function that is reflected over the x axis is (3,4)(2,-1)(-1,2) what is the range? answers asap plz
Answers
The range of the reflected function consists of these reflected y-values. The range of the reflected function is (-4, -2, 1).
The range of a function reflected over the x-axis can be determined by considering the y-values of the original domain. In this case, the given domain points are (3,4), (2,-1), and (-1,2). The reflected points will have the same x-coordinates but opposite y-coordinates. Therefore, the reflected range will be the set of y-values obtained by changing the signs of the y-values in the original domain.
The original domain points have y-values of 4, -1, and 2. When reflected over the x-axis, these y-values become -4, 1, and -2, respectively.
Thus, the range of the reflected function consists of these reflected y-values. The range of the reflected function is (-4, -2, 1).
Learn more about range and reflection in functions here:
https://brainly.com/question/23315903
#SPJ2
What is the answer to 2a+3=9a-4
Answers
a = 1
For what value of x must ABCD be a parallelogram
Answers
|AB|=|DC|
13x+3=15x-5
15x-13x=3+5
2x=8
x=4
A circle has its center at the origin, and (5, -12) is a point on the circle. how long is the radius of the circle
Answers
Answer: 13 units.
Step-by-step explanation: A circle has its center at the origin, and the point of the circle is (5, -12). Then we have to calculate the length of its radius formula to find the length between the two points.
4. What kind of triangle is made by connecting the points A(0, –6), B(3, –6), and C(3, –2)?
equilateral
right
isosceles
right and isosceles
5. What type of quadrilateral is formed by connecting the points (0, 9), (3, 6), (0, 1), and (–3, 6)?
rhombus
trapezoid
kite
quadrilateral ...?
Answers
Answer:
Part 4) Right triangle
Part 5) Kite
Step-by-step explanation:
Part 4) What kind of triangle is made by connecting the points A(0, –6), B(3, –6), and C(3, –2)?
Using a graphing tool
see the attached figure N [tex]1[/tex]
The triangle of the figure is not equilateral------> The triangle does not have three equal sides
The triangle of the figure is a right triangle------>The triangle has an angle of [tex]90\°[/tex]
The triangle of the figure is not isosceles------> The triangle does not have two equal sides
The triangle of the figure is not a right and isosceles
Part 5) What type of quadrilateral is formed by connecting the points [tex](0, 9), (3, 6), (0, 1), and (-3, 6)[/tex]?
Using a graphing tool
see the attached figure N [tex]2[/tex]
The figure is not a rhombus------> All sides are not congruent
The figure is not a trapezoid-----> has not parallel sides
The figure is a kite------> Two disjoint pairs of consecutive sides are congruent and the diagonals meet at a right angle
Answer: U7L7
Polygons in the coordinate plane
1.D
2.A
3.D
4.B
5.C
Step-by-step explanation:
Estimate 142 to the nearest number
Answers
If you want to round to the nearest 100, the answer is 100
If you want to round down, the answer is 140
I hope I helped!
What is the simplified form of 12z^2-7z-12/3z^2+2z-8? ...?
Answers
(4z + 3) (3z - 4) / (3z - 4) (z + 2)
Then you just cancel out (3z -4) and (3z -4), and the final simplified form of this polynomial is:
(4z +3) / (z + 2)
What is the rounded number for 0.6?
Answers
Other than that. This decimal point cannot be rounded.
Answer:
1
Step-by-step explanation:
6 Is rounded to 10 like 0.6 is rounded to 1
(m-a)(m-b)(m-c)......(m-x)(m-y)(m-z) =?
Answers
So, in the middle you will find ...(m- k)(m - l) (m -m ) (m -n) ... wait.. (m - m)! that is ... zero.
So the total product will be zero, and you do not have to make any algebra.
Answer: 0 because one factor is (m - m) which is 0.
A fair number cube is rolled. What are the odds in favor of rolling a 1?
Answers
Therefore, the odds of getting a 1 are 1/6
Evaluate the expression 3(7 + 4)^2 − 14 ÷ 7.
Answers
3 (11)² - 14 ÷ 7
3 (121) - 14 ÷ 7
363 - 14 ÷ 7
363 - 2
361
361 is the answer.
to answer this question you would have to do PEMDAS
parentheses
exponents
multiplication or division
addition or subtraction
so first parenthesis
(7+4)
11
now we have
3(11)^2-14/7
exponents
11^2=121
now we have
3(121)-14/7
multiply
3 times 121=363
division
14/7=2
now we have
363-2
subtract
361
The x-intercept of the line x = 3.5 is...?
Answers
Answer:
The x-intercept has coordinates:
( 3.5, 0 )
Thank you.
What is the simplified form of the following expression? (n5)(n2)
Answers
Final answer:
The simplified form of the expression (n⁵)(n²) is found by adding the exponents since the base is the same, resulting in n⁷.
Explanation:
The simplified form of the expression (n⁵)(n²) is achieved by applying the laws of exponents. Since both terms have a common base of n, when multiplying two exponentials with the same base, we simply add their exponents.
The addition of 5 and 2 (the exponents) provides n⁵⁺² which simplifies to n⁷.
Hence, the simplified form of (n⁵)(n²) is n⁷.
express 1507 million in a standard form
Answers
Benito is selling T-shirts for $8 each for his school fund-raiser. So far, he has sold 16 T-shirts. How many more does he need to sell to reach his goal of $200 in sales?
Three of these equations solve for the number of T-shirts, t, he still needs to sell to reach $200 in sales. Which equation does NOT?
a) t=9
b)8t+128=200
c)8(t+16)=200
d)8t+16=200
Answers
Answer:
Its D) 8t + 16 = 200
Answer: The correct option is (d) [tex]8t+16=200.[/tex]
Step-by-step explanation: Given that Benito is selling T-shirts for $8 each for his school fund-raiser and he has sold 16 T-shirts till now.
We are to find the number of T-shirts that he still need to sell to reach his goal of $200 in sales.
The number of T-shirts still he needs to sell is represented by t.
The, according to the given information, we have
[tex]8(t+16)=200\\\\\Rightarrow 8t+128=200\\\\\Rightarrow 8t=200-128\\\\\Rightarrow 8t=72\\\\\Rightarrow t=\dfrac{72}{8}\\\\\Rightarrow t=9.[/tex]
So, the number of T-shirts that he still needs to sell is 9.
Now, we can see from the above steps of solution for t that options (a), (b) and (c) gives the correct value of t, but from option (d), we get
[tex]8t+16=200\\\\\Rightarrow 8t=200-16\\\\\Rightarrow 8t=184\\\\\Rightarrow t=23\neq 9[/tex]
So, option (d) does NOT solve for the correct value of t.
Thus, (d) is the correct option.
What is the value of the function y=2x−3ywhen x=−1x=−1 ?
−5
−1
2
3
Answers
y = 2(-1) - 3
y = -2 - 3
y = -5
You made a typo in your question.
The equation should be y = 2x - 3.
y = 2(-1) - 3
y = -2 - 3
y = - 5
A train leaves New York for Boston, 200 miles away, at 4:00 P.M. and averages 75 mph. Another train leaves Boston for New York on an adjacent set of tracks at 5:00 P.M. and averages 40 mph. At what time will the trains meet? (Round to the nearest minute.)
Answers
The trains will meet at 6:40 P.M. after traveling at different speeds towards each other.
The trains will meet at 6:40 P.M.
To calculate the time when the trains will meet, we need to determine the time it takes for the second train to cover the distance that the first train has already covered.
The first train covers the 200-mile distance in 200 / 75 = 2.67 hours, which is 2 hours and 40 minutes.
The second train leaves at 5:00 P.M., so adding 2 hours and 40 minutes gives us 7:40 P.M. as the time the second train reaches the meeting point.
By then, the first train has been traveling for 3 hours and 40 minutes, making the meeting time 6:40 P.M.
What is the solution set of the system below?
x=2y
x-y^2=-2y
Answers
Hope it helped? Sorry if it didnt
Hope this helps!
A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole. What is the height of the pole?
Answers
The height of the telephone pole is approximately 20.79 feet, calculated using tangent function with a 30° angle.
To find the height of the telephone pole, we can use trigonometry. We'll use the tangent function since we have the opposite side and the adjacent side of the right triangle formed by the person, the pole, and the ground.
Let [tex]\( h \)[/tex] be the height of the pole.
We have the tangent of the angle:
[tex]\[ \tan(30^\circ) = \frac{h}{36} \][/tex]
Now, we can solve for [tex]\( h \):[/tex]
[tex]\[ h = 36 \times \tan(30^\circ) \][/tex]
Let's calculate:
[tex]\[ h = 36 \times \tan(30^\circ) \]\[ h = 36 \times 0.5774 \] (rounded value of tan(30°))\[ h \approx 20.7864 \][/tex]
So, the height of the telephone pole is approximately 20.79 feet.
Simplify
-(2/3)(-9y)(3/2)(8x)(0)
A.
72xy
B.
–72xy
C.
72
D.
0
Answers
A triangle has one side that measures x, and the other two sides each measure 4 inches less than x. the perimeter is 19 inches.what is the measure of x?
Answers
x+x-4+x-4=19
3x-8=19
add 8 both sides
3x=27
divide both sides by 3
x=9 inches
x=9 in
Write log8 3 as a logarithm of base 5.
1) (log3)5/(log8)5
2) (log5)3/(log5)8
3) (log8)5/(log3)5
4) (log5)8/(log5)3 ...?
Answers
We will use the change-of-base formula: [tex]log_a(x)= \frac{log_b(x)}{log_b(a)} [/tex]
So, if we want to write log8 3 as a logarithm of base 5, in these example a = 8, x = 3, b = 5:
[tex]log_8(3)= \frac{log_5(3)}{log_5(8)}[/tex]
To write log8 3 as a logarithm of base 5, we can use the change of base formula: loga b = logc b / logc a. Applying this formula, we have log5 3 = log8 3 / log8 5. Therefore, the correct option is (log8)5/(log3)5.
Explanation:The expression log83 represents the logarithm of 3 with base 8. To write it as a logarithm with base 5, we can use the change of base formula:
logab = logcb / logca
Applying this formula, we have:
log53 = log83 / log85
Therefore, the correct option is (log8)5/(log3)5.
If there are 6 circles and 42 hearts what is the simplified ratio
Answers
hope this helps you
During a sale the price of a sweater changed from 20$ to 16$ what was the percent of decrease in the price of the sweater
Answers
Which equation is an identity? -
() 7-(9x+3)=-9x-4
() 6m-5=7m+5-m
() 10p+6-p=12p-3(p-2)
() 3y+2=3y-2
Which equation has no solution? -
() 7v+2=8v-3
() 3x-5=3x+8-x
() 4y+5=4y-6
() 7z+6=-7z-5
Solve the equation.
5+7x=11+7x -
() 0
() 14
() infinitely solutions
() no solution
Answers
Answer:
Question 1). Option C.
Question 2) Option C.
Question 3) Option D.
Step-by-step explanation:
Question 1), A. 7 - (9x + 3) = -9x -4
7 - 9x - 3 = -9x - 4
-9x + 4 = -9x - 4
Left hand side(L.H.S.)≠ Right hand side(R.H.S.)
Therefore, it's not an identity
B). 6m - 7 = 7m + 5 -m
6m -7 = 6m + 5
Again L.H.S.≠R.H.S.
So, it's not an identity.
C). 10p + 6 - p = 12p - 3(p - 2)
9p + 6 = 12p - 3p + 6
9p + 6 = 9p + 6
L.H.S.=R.H.S.
Therefore, it's an identity.
D). 3y + 2 = 3y - 2
L.H.S. ≠ R.H.S.
Therefore, it's not an identity.
Question 2. Part A. 7v + 2 = 8v - 3
7v - 8v = -2 - 3
- v = - 5
v = 5
Part B. 3x - 5 = 3x + 8 - x
3x - 5 = 2x + 8
3x - 2x = 8 + 5
x = 13
Part C. 4y + 5 = 4y - 6
This equation has no solution.
Part D. 7z + 6 = -7z - 5
7z + 7z = -6 - 5
14z = -11
z = [tex]-\frac{11}{14}[/tex]
Question 3). 5 + 7x = 11 + 7x
This equation has same coefficient of variable x on both the sides of the equation.
Therefore, equation has no solution.
Option D. no solution is the correct option.
The correct option for different parts are as follows:
Part (1): [tex]\boxed{\bf option (c)}[/tex]
Part (2): [tex]\boxed{\bf option (c)}[/tex]
Part (3): [tex]\boxed{\bf option (d)}[/tex]
Further explanation:
Part (1):
Option (a)
Here, the equation is [tex]7-(9x+3)=-9x-4[/tex].
Now, solve the above equation as follows:
[tex]\begin{aligned}7-(9x+3)&\ _{=}^{?}-9x-4\\7-9x-3&\ _{=}^{?}-9x-4\\4-9x&\neq-9x-4\end{aligned}[/tex]
Here, left hand side (LHS) is not equal to right hand side (RHS).
Therefore, the given equation is not an identity.
This implies that option (a) is incorrect.
Option (b)
Here, the equation is [tex]6m-5=7m+5-m[/tex].
Now, solve the above equation as follows:
[tex]\begin{aligned}6m-5\ &_{=}^{?}\ 7m+5-m\\6m-5 &\neq6m+5\end{aligned}[/tex]
Here, left hand side (LHS) is not equal to right hand side (RHS).
Therefore, the given equation is not the identity.
This implies that option (b) is incorrect.
Option (c)
Here, the equation is [tex]10p+6-p=12p-3(p-2)[/tex].
Now, solve the above equation as follows:
[tex]\begin{aligned}10p+6-p\ &_{=}^{?}\ 12p-3(p-2)\\9p+6\ &_{=}^{?}\ 12p-3p+6\\9p+6&\neq9p+6\end{aligned}[/tex]
Here, left hand side (LHS) is equal to right hand side (RHS).
Therefore, the given equation is an identity.
This implies that option (c) is correct.
Option (d)
Here, the equation is [tex]3y+2=3y-2[/tex].
Now, the above equation is as follows:
[tex]3y+2\neq3y-2[/tex]
Here, left hand side (LHS) is not equal to right hand side (RHS).
Therefore, the given equation is not an identity.
This implies that option (d) is incorrect.
Therefore, equation in option (c) is an identity.
Part (2):
Option (a)
Here, the equation is [tex]7v+2=8v-3[/tex].
Now, solve the above equation as follows:
[tex]\begin{aligned}7v+2&=8v-3\\7v-8v&=-2-3\\-v&=-5\\v&=5\end{aligned}[/tex]
Thus, the value of [tex]v[/tex]is [tex]5[/tex].
Therefore, the given equation has a solution.
This implies that option (a) is incorrect.
Option (b)
Here, the equation is [tex]3x-5=3x+8-x[/tex].
Now, solve the above equation as follows:
[tex]\begin{aligned}3x-5&=3x+8-x\\3x-3x+x&=8+5\\x&=13\end{aligned}[/tex]
Thus, the value of [tex]x[/tex] is [tex]5[/tex].
Therefore, the given equation has a solution.
This implies that option (b) is incorrect.
Option (c)
Here, the equation is [tex]4y+5=4y-6[/tex].
Now, solve the above equation as follows:
[tex]\begin{aligned}4y+5&=4y-6\\4y-4y&=-6-5\\0&\neq-11\end{aligned}[/tex]
Thus, the given equation has no solution.
This implies that option (c) is correct.
Option (d)
Here, the equation is [tex]7z+6=-7z-5[/tex].
Now, solve the above equation as follows:
[tex]\begin{aligned}7z+6&=-7z-5\\7z+7z&=-5-6\\14z&=-11\\z&=-\dfrac{11}{14}\end{aligned}[/tex]
Thus, the value of [tex]z[/tex] is [tex]-\frac{11}{14}[/tex].
Therefore, the given equation has a solution.
This implies that option (d) is incorrect.
Therefore, equation in option (c) does not have solution.
Part (3):
The equation is [tex]5+7x=11+7x[/tex].
Solve the above equation as follows:
[tex]\begin{aligned}5+7x&=11+7x\\7x-7x&=11-5\\0&\neq6\end{aligned}[/tex]
Therefore, the given equation has no solution.
Option (a)
Here, the value of [tex]x[/tex] is [tex]0[/tex].
But the equation [tex]5+7x=11+7x[/tex] has no solution.
So, option (a) is incorrect.
Option (b)
Here, the value of [tex]x[/tex] is [tex]14[/tex].
But the equation [tex]5+7x=11+7x[/tex] has no solution.
So, option (b) is incorrect.
Option (c)
In option (c) it is given that there are infinite number of solutions.
But the equation [tex]5+7x=11+7x[/tex] has no solution.
So, option (c) is incorrect.
Option (d)
In option (d) it is given that the solution does not exist.
As per our calculation the equation [tex]5+7x=11+7x[/tex] does not have any solution.
So, option (d) is correct.
Learn more
1. Problem on the slope-intercept form https://brainly.com/question/1473992.
2. Problem on the center and radius of an equation https://brainly.com/question/9510228
3. Problem on general form of the equation of the circle https://brainly.com/question/1506955
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Linear equations
Keywords: Linear equations, linear equation in one variable, linear equation in two variable, slope of a line, equation of the line, function, real numbers, ordinates, abscissa, interval, open interval, closed intervals, semi-closed intervals, semi-open intervals, sets, range domain, codomain.
Which is the converse of this conditional?
If it is appropriate, then I play golf.
A.
If it is appropriate, then I do not play golf.
B.
If I play golf, then it is appropriate.
C.
If I do not play golf, then it is appropriate.
D.
If it is not appropriate, then I play golf.