Answer:
x=2
Step-by-step explanation:
subtract 7/9x -4/9x
3/9x= 1/4 +5/12
first change 1/4 to 3/12
then add 3/12 + 5/12
3/9x = 8/12
change 3/9x to 1/3x then to 4/12x
4/12x = 8/12
then mulitiply by the reciprical 12/4 on both sides
x = 2
JK is formed by J(-12, 3) and K(8,-5). If
line r is the perpendicular bisector of JK, write
an equation for r in slope-intercept form??
Given:
JK is formed by J(-12, 3) and K(8,-5).
Line r is the perpendicular bisector of JK.
To find:
The equation of line r is slope intercept form.
Solution:
Line r is the perpendicular bisector of JK. So, it passes through the midpoint of J and K.
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-12+8}{2},\dfrac{3+(-5)}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4}{2},\dfrac{-2}{2}\right)[/tex]
[tex]Midpoint=\left(-2,-1\right)[/tex]
Slope of JK is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-5-3}{8-(-12)}[/tex]
[tex]m=\dfrac{-8}{20}[/tex]
[tex]m=\dfrac{-2}{5}[/tex]
Product of slopes of two perpendicular lines is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]-\dfrac{2}{5}\times m_2=-1[/tex]
[tex]m_2=\dfrac{5}{2}[/tex]
The slope of perpendicular line r is [tex]\dfrac{5}{2}[/tex] and it passes through (-2,-1). So, the equation of perpendicular line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-1)=\dfrac{5}{2}(x-(-2))[/tex]
[tex]y+1=\dfrac{5}{2}(x+2)[/tex]
[tex]y+1=\dfrac{5}{2}x+5[/tex]
[tex]y=\dfrac{5}{2}x+5-1[/tex]
[tex]y=\dfrac{5}{2}x+4[/tex]
Therefore, the equation of line r is [tex]y=\dfrac{5}{2}x+4[/tex].
The required equation of line "r" in slope-intercept form is y = 5/2x + 15
First, we need to find the equation of a line in slope-intercept form as
y = mx + b
m is the slope of the line
b is the y-intercept
Given the coordinate points J(-12, 3) and K(8,-5)
Get the slope of the line
Slope = -5-3/8+12
Slope = -8/20
Slope - -2/5
Slope of the line "r" perpendicular is 5/2
Get the y-intercept of line r
Substitute (8, -5) and m = 5/2 into y = mx + b
-5 = -5/2(8) + b
-5 = -20 + b
b = 15
Hence the required equation of line "r" in slope-intercept form is y = 5/2x + 15
Learn more here; https://brainly.com/question/17003809
Lines L and M are parallel, find M<7
Answer:
142°
Step-by-step explanation:
Lines L and M are parallel and a line is transversal to them.
[tex]\therefore 38 \degree + m \angle7 = 180 \degree \\ (straight \: line \: \angle s) \\ \\ \therefore m \angle7 = 180 \degree - 38 \degree \\ \\ \huge \red { \boxed{\therefore m \angle7 = 142 \degree }}[/tex]
Which equation could have the graph shown below?
y = ( x + 4)( x + 1)(2 – x)( x – 3)
y = ( x + 4)( x + 1)(2 – x)(3 – x)
y = ( x – 4)(1 – x)(2 + x)(3 + x)
y = ( x – 4)( x – 1)(2 + x)(3 + x)
Answer:
The answer is y = (x + 4)(x + 1)(2 – x)(3 – x)
Step-by-step explanation:
yw
i dont get this ............
Answer:
i think these inequalities shows B
2\3-4x+7/2= -9x+5/6
solve
Answer:
I think its -2/3
Step-by-step explanation:
A sports club offers an organized basketball league. A team pays $600 to join their league. In addition to paying their share of the $600, people on the team that are not members of the sports club must pay a $25 fee to play. A team pays a total of $775. How many people on the team are not club members?
Answer:
5
Step-by-step explanation:
600-775=125
25x5=125
Answer:7 team members
Step-by-step explanation:think of money... 25 cents times 4 is a dollar. So that means count from 600 by 25 until you get to 775
10. Jack’s mom gave him 50 chocolates. At Jack’s party, he gave each of his friends 6 chocolates. Unfortunately Jack was 4 pieces short, and one friend only got 2 pieces of chocolate. How many people were at Jack’s Party?
Step 1: Write an Equation:
Step 2: Solve the problem using your equation above. (Show what work you do.)
Step 3: Relate your answer back to the original word problem (Use Complete sentences)
Help I HAVE 5 MINUTES
Answer:
see below
Step-by-step explanation:
Let f = number of friends
all but one friend got 6 pieces and 1 friend got 2 for a total of 50 pieces
6(f-1) + 2 = 50
Subtract 2 from each side
6(f-1) +2-2 = 50-2
6(f-1) = 48
Divide by 6
6(f-1)/6 = 48/6
f-1 = 8
Add 1 to each side
f-1+1=8+1
f=9
Jack has 9 friends at the party
With Jack and his mom, there are 11 people
Determine the range of the function y = -2x^2 + 3
X=mn/p
solve for m
Answer:
Step-by-step explanation:
Multiply both sides by p to get:
xp = mn
Now divide both sides by n to get:
xp/n = m
A recipe calls for 4/5 cups of milk and 1/2 cup of rice.how much more milk than rice is needed
Answer:
3/10
Step-by-step explanation:
if you make 1/2 into 5/10 and 4/5 into 8/10 than 8/10 is 3/10 more than 5/10
Question 6 (1 point) Mrs. Sullivan wants to make a square tablecloth for her dining room table. She has 121 ft? of fabric. What are the possible side lengths of the tablecloth? A. 11 ft x 11 ft B. 11 ft x 2 ft C. 60.5 ft x 2 ft D. 60.5 ft x 60.5 ft
Answer:
c 60.5 ft x 2ft
Step-by-step explanation:
60.5 ft x 2 = 121 ft
The required possible side length of the tablecloth is 11ft x 11ft.
Given that,
Mrs. Sullivan wants to make a square tablecloth for her dining room table. She has 121 ft? of fabric. What are the possible side lengths of the tablecloth to be determined.
A square is for sided regular polygon, where the length of all sides is identical and the angle between the adjacent side is 90°.
Here,
She has 121 ft² of fabric.
She wants to make a square tablecloth for her dining room table.\
Area of the square = a²
121 = a²
a = √121
a = 11 ft
Thus, the required possible side length of the tablecloth is 11ft x 11ft.
Learn more about square here:
https://brainly.com/question/1658516
#SPJ2
HELP IMMEDIATELY PLEASE, WILL GIVE BRAINLIEST!!
The Answer is : 20/40
Marty has a sneaker collection of 23 pairs of shoes. He plans to collect 14 pairs of shoes each year. How many pairs of shoes will he have after 12 years?
Your answer:
37 pairs
168 pairs
191 pairs
290 pairs
Answer:
168
Step-by-step explanation
Answer
191
Step-by-step explanation:
The additive inverse of -7
Answer:
7
Step-by-step explanation:
An "additive inverse" refers to a number that when added to a specific number equals to "zero."
In the question above, the additive inverse of -7 is 7 because: -7 + 7 = 0
Other examples:
1. The additive inverse of 2 is -2 because: 2 + (-2) = 0
2. The additive inverse of -100 is 100 because: -100 + 100 = 0
3. The additive inverse of [tex]\frac{1}{2}[/tex] is -[tex]\frac{1}{2}[/tex] because: [tex]\frac{1}{2}[/tex] + -[tex]\frac{1}{2}[/tex] = 0
The additive inverse of -7 is equal to 7.
The additive inverse of a number is the number that, when added to the original number, gives a sum of zero.
To determine the additive inverse of -7, we need to find the number that, when added to -7, results in zero.
To do this, we can multiply -7 by -1, which is the multiplicative inverse of 1. Multiplying a number by its multiplicative inverse always gives the additive inverse of that number.
So, -7 multiplied by -1 is:
-7 x -1 = 7
Therefore, the additive inverse of -7 is 7.
Learn more about multiplications;
https://brainly.com/question/14059007
#SPJ6
Combine the radicals -2/13 + 19/13.
O
17/26
O-21/13
17/13
O 21/26
Answer:
I think it is 17[tex]\sqrt{13\\\\[/tex]
Step-by-step explanation:
Answer:
17 root 13
Step-by-step explanation:
Explain whether the points (-13,4), (-7,3), (-1,2), (5,1). (11,0), (17, -1) represent the set of all the solutions for the
equation y = -x + (1 point)
Yes, because all the solutions of y x + need to be integer values for an and y,
No, because the point (17, -1) is not on the line that represents the equation y = a +
O Yes, because all of the points that are listed are on the line y = - +
O No, because the set of all solutions of y = -x+ His represented by the line of the equation.
Answer:
ohh this is little bit hard
Step-by-step explanation:
HELP ME ASAP ITS DUE TODAY
Step-by-step explanation:
2+8=10
-2-6=8
-4+7=2
6-9=-3
-5-5=-10
7-7=0
Part b.)
Yes. 8° with a rise of negative 7 would look like this 8+-7= 1.
I'm not familiar with the iniger game but here's my best take on the questions
1) no because a positive plus a positive is positive
2) yes, positive plus negative can be negative if the negative is bigger than the positive ex.(5-15=-10
3) yes, negative plus negative is negative
sorry if this took too long but tried my best to hurry
OKOKOKOKOKOKOKOK
When the table says that there has been a RISE, that means that you should ADD. When the table says there has been a FALL, that means you should SUBTRACT.
The second row and the second column is saying a RISE, meaning that you should ADD 8 and 2. 8 + 2 = 10. So the answer for that one would be 10 degrees celcius (third column, second row.) The numbers in bold are your equation for the second row and fourth column.
Here are the rest: AT MEANS AFTERNOON TEMPERATURE :)
3rd row: AT = -8 [degrees celcius] EQUATION: -2 - 6 = -8
4th row: AT = 3 [degrees celcius] EQUATION: -4 + 7 = 3
5th row: AT = -3 [degrees celcius] EQUATION: 6 - 9 = -3
6th row: AT = -10 [degrees celcius] EQUATION: -5 - 5 = -10
7th row: AT = 0 [degrees celcius] EQUATION: 7 - 7 = 0
Woohoo! We're done with that part now.
(b) So, as I said before, a RISE means you must ADD. If you have a rise in -7 degrees celcius, how would you write that mathematically? You would write it like this: + ( - 7 ). You are ADDING NEGATIVE SEVEN. I know it sounds weird, but it is what it is. NOW. Adding negative 7 IS THE EQUIVALENT of saying subtract seven. Here's an example:
10 + ( - 7 ) = 3 (this is true)
10 - 7 = 3 (this is also true)
Therefore, for b you would say that you agree because +(-7) is the equivalent of say 'minus 7'.
Hopefully, you can use what I explained to help you with number 2. If you need more help you can just comment on this post and I'll help you. :))
What is a group of objects that share common characteristics and are well-defined?
Answer:
The options as included in the attachment section are:
A. real numbers B.Cardinality C.element D.Set
The answer is D. Set
Step-by-step explanation:
In mathematics, a set is a group of well-defined objects that share common characteristics as rightly stated in this question. So in a mathematical calculation, the elements or objects collected as a group is called SET. The types of set include empty set, finite set, infinite set, universal set etc.
- Since set represents the whole collection or group, each object, which can be number, letter etc. in the group is an ELEMENT. Likewise, the cardinality of a set refers to the number of elements contained in a particular set.
HELLLLLLLLp i dum please help me
Answer:
B
Step-by-step explanation:
(6[tex]x^{5}[/tex]z)^3
6^3 is 226
*(x^2)^3= x^6 (5*3= 15)
*when there are exponents being raised to a power, the exponents are multiplied
**(z^1)^3= z^3 (3*1= 3)
** all numbers are raised to the 1st power (unless otherwise noted x^2, 5^4 2^2, etc)
So the top would end up being 226x^6z^3
Now, since this number is over 4x^4z^2, you need to divide 226x^15z^3 by 4x^4z^2
**divide like terms**
226/4= 54
***x^15/ x^4= x^x^11
*** when you divide exponents, you subtract the bottom number from the top, in this case:
15-4
that equalls 11
So x^11
you do the same for z:
z^3/z^2= z^1 or z (3-2=1 )
You put it all together and you end up with
54x^11z
******** If there are any mistakes I'm really sorry!!******
Evaluate the following expression: -2|9|.
-18
-11
11
18
Answer:
-18 mat-way is good to use
(2x3 + 7x2 - 6x - 8) = (x + 4)
Answer:
the answer is 2x^2 − x − 2
Mr. Rodriguez bought 3 large cans of tomato soup for $8.37. Find the unit rate for one can of tomato soup.
Answer:
It is $2.79
Step-by-step explanation:
You take $8.37 and divide it by 3 then you get $2.79. So for 1 can its $2.79.
(10, y) and (3, 4); m= -2/7 find missing value
Answer:
y2 -y1 =4 - y = 2 y has to = 2 because your slope m= - 2/7
x2-x1 =3-10 = -7
Step-by-step explanation:
( 10 , y ) (3 , 4)
x1 y1 x2 y2
We have that for the Question "(10, y) and (3, 4); m= -2/7 find missing value" it can be said that
The value of y is
y=8
From the question we are told
(10, y) and (3, 4); m= -2/7 find missing value
Generally the equation for the slope m is mathematically given as
[tex]m=\frac{y2-y1}{x2-x1}\\\\Therefore\\\\m=\frac{y2-y1}{x2-x1}\\\\-2/7=\frac{4-y}{3-10}\\\\-2/7*-7=4-y\\\\y=4((-2/7)*-7)\\\\[/tex]
y=8
Therefore
The value of y is
y=8
For more information on this visit
https://brainly.com/question/19007362
Helppp with those two I and j
Answer: For I the answer is m=55, for J the answer is x=24
Step-by-step explanation:
I. Remote interior angles add up to exterior which means 30+80=2m which is 110=2m. Divide 110 by 2 gives you m=55
J. Same concept but this time it is 5x=120, divide 120 by 5 gives you 24.
what is average of 3 and 5
Answer: 4
Step-by-step explanation: you add 5 and 3, then you divide by the number of numbers which is 2.
Answer:
Average =
Sum
Count
=
8
2
=
4
Step-by-step explanation:
Sum 8
Count 2
Median 4
Geometric Mean 3.8729833462074
Largest 5
Smallest 3
Range 2
What are the coordinates of the point 1/4 of the way from A to B?
Answer:
7 units
Step-by-step explanation:
6X^2 if (x=4) answer this
Answer:
96
Step-by-step explanation:
4^2(PENDAS)=16
6*16=96
What best describes the relationship between the following two lines?
y = 2x +4
y = –2x +
4
Parallel
Perpendicular
Neither parallel nor perpendicular
Answer:
Neither parallel nor perpendicular
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define lines
y = 2x + 4
y = -2x + 4
Parallel lines have the same slope but different y-intercepts. If the 2 lines were parallel, their m value would be the same. If the original line's slope is 2, the parallel line's slope would also be 2. Therefore, they aren't parallel.
Perpendicular lines have the negative reciprocal of the original slope. If the 2 lines were perpendicular, one slope would be 2 and the other slope would be -1/2. Therefore, they aren't perpendicular.
Therefore, our answer is neither parallel nor perpendicular.
Answer:
Neither parallel nor perpendicular.
Step-by-step explanation:
y = 2x +4
y = -2x + 4
The 2 slopes are 2 and -2.
If they were equal the 2 lines would be parallel.
If they had the relationship slope1 * slope2 = -1 they would be perpendicular.
They are neither so its the last choice.
SHOW WORK
Pete borrowed $400 for 1 year. He paid back a total of $440. What was the interest rate per year?
Answer:
10%
Step-by-step explanation:
He had to payback 40 more than he borrowed.
440-400=40
40 is 10% of 400, what he borrowed.
400÷10=40
Answer:
10%
Step-by-step explanation:
That year, he paid $40 in interest, which is 10% of the original loan.
What is the measure of