Answer:
m (Slope) = 3
Step-by-step explanation:
Slope formula:
m = (y2 - y1) / (x2 - x1)
= (24 - 3) / (9 -2)
= 21 / 7
=3
What is the equation in slope-intercept form of the line that passes through the points ( -4, 47) and ( 2 , -16)?
A) y= -
21
2
x +
979
21
B) y= -
2
21
x +
979
21
C) y= -
21
2
x + 5
D) y= -
2
21
x +5
Answer:c
Step-by-step explanation:
(2x3 + 7x2 - 6x - 8) = (x + 4)
Answer:
the answer is 2x^2 − x − 2
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:
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!!******
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
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3(2x - 7) = 5(x + 3) + 2x7
Answer:
x = -1.52016
Step-by-step explanation:
Step 1: Write equation
3(2x - 7) = 5(x + 3) + 2x⁷
Step 2: Solve for x
Distribute: 6x - 21 = 5x + 15 + 2x⁷Subtract 6x on both sides: -21 = -x + 15 + 2x⁷Add 21 to both sides: 0 = -x + 36 + 2x⁷Rearrange: 0 = 2x⁷ - x + 36Find roots by graphing: x = -1.52016Mr. 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.
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:
2\3-4x+7/2= -9x+5/6
solve
Answer:
I think its -2/3
Step-by-step explanation:
HELP IMMEDIATELY PLEASE, WILL GIVE BRAINLIEST!!
The Answer is : 20/40
What are the coordinates of the point 1/4 of the way from A to B?
Answer:
7 units
Step-by-step explanation:
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
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.
the length of each side of this regular pentagon is 37 mm. what is the perimeter
Answer:
185mm
Step-by-step explanation:
37 times 5 is 185
Answer:
185 mm
Step-by-step explanation:
There are 5 sides in a pentagon. Each side is 37 mm. Add 37 5 times or multiply 37 by 5.
37mm + 37mm + 37mm + 37mm + 37mm
or
37mm × 5
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.
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What is the measure of
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
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 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
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
Evaluate the following expression: -2|9|.
-18
-11
11
18
Answer:
-18 mat-way is good to use
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]
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.
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:
Which expression is the simplest form of 5(2x - 3) - 3(x + 4) / 9
A. 7x - 3
B. 7x - 27/9
C. 7x - 3
D. 13x - 27/9
Answer:
The answer is B.
Step-by-step explanation:
The simplified expression is 7x - 27/9
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.Given:
5(2x - 3) - 3(x + 4) / 9
=10x-15-3x-12/9
=10x-3x-15-12/9
=7x-27/9
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What is the perimeter and area of a polygon?
Answer:
To find the perimeter, add together the lengths of the sides. Start at the top and work clockwise around the shape. Area of Polygon = (Area of A) + (Area of B) To find the area, divide the polygon into two separate, simpler regions.
Step-by-step explanation:
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
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
3(y – 5) + 2 = 5
A. y = 4
B. y = 7
C. y = –4
D. y = 6
Answer:
y = 6
Step-by-step explanation:
Step 1: Write equation
3(y - 5) + 2 = 5
Step 2: Solve for y
Distribute 3: 3y - 15 + 2 = 5Combine like terms: 3y - 13 = 5Add 13 to both sides: 3y = 18Divide both sides by 3: y = 6Step 3: Check
Plug in y to verify it's a solution.
3(6 - 5) + 2 = 5
3(1) + 2 = 5
3 + 2 = 5
5 = 5
A particular shade of orange paint has 2 cups of yellow paint for every 3 cups of red paint.According to the double number line, how many cups of red paint are required to make three batches
Answer:9 cups of red paint
Step-by-step explanation:1 batch = 3 cups of paint and you need to find the number of cups of paint for 3 batches so you multiply 3 x 3 and get 9. Hope this helped!!!:)