Answer:
y = -10x + 82
Step-by-step explanation:
Plug in the slope and point into y = mx + b to solve for b:
y = mx + b
2 = -10(8) + b
2 = -80 + b
82 = b
Then, plug b and the slope into y = mx + b
y = -10x + 82 is the equation in point slope form.
0= -5/4(x - 6/5) find the solution to x
Answer:
x = 6/5
Step-by-step explanation:
Solve for x:
0 = (-5 (x - 6/5))/4
Hint: | Put the fractions in x - 6/5 over a common denominator.
Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:
0 = (-5)/4 (5 x)/5 - 6/5
Hint: | Combine (5 x)/5 - 6/5 into a single fraction.
(5 x)/5 - 6/5 = (5 x - 6)/5:
0 = (-5)/4 (5 x - 6)/5
Hint: | In (-5 (5 x - 6))/(5×4), divide -5 in the numerator by 5 in the denominator.
(-5)/5 = (5 (-1))/5 = -1:
0 = (-1 (5 x - 6))/4
Hint: | Reverse the equality in 0 = (-(5 x - 6))/4 in order to isolate x to the left hand side.
0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:
(-(5 x - 6))/4 = 0
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (-(5 x - 6))/4 = 0 by -4:
(-4 (-(5 x - 6)))/4 = -4×0
Hint: | In (-4 (-(5 x - 6)))/4, divide -4 in the numerator by 4 in the denominator.
(-4)/4 = (4 (-1))/4 = -1:
--1 (5 x - 6) = -4×0
Hint: | Multiply all instances of -1 in -(-(5 x - 6)).
(-1)^2 = 1:
5 x - 6 = -4×0
Hint: | Any number times zero is zero.
0 (-4) = 0:
5 x - 6 = 0
Hint: | Isolate terms with x to the left hand side.
Add 6 to both sides:
5 x + (6 - 6) = 6
Hint: | Look for the difference of two identical terms.
6 - 6 = 0:
5 x = 6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 5 x = 6 by 5:
(5 x)/5 = 6/5
Hint: | Any nonzero number divided by itself is one.
5/5 = 1:
Answer: x = 6/5
What is the image of (-7, -9) after a reflection over the x-axis?
Answer:
(-7,9)
Step-by-step explanation:
When you flip over the x-axis, the y-value changes its sign. Vice versa.
[tex]\huge\boxed{\boxed{\bold{(-7, 9)}}}[/tex]
[tex]\hrulefill[/tex]
To reflect a point across the [tex]x[/tex]-axis, multiply or divide its [tex]y[/tex] coordinate by [tex]-1[/tex]:
[tex]P'=(-7, -9*-1)[/tex]
Multiply:
[tex]P'=\large\boxed{(-7, 9)}[/tex]
An image is attached showing the original point ([tex]P[/tex]) and its image ([tex]P'[/tex]).
PLEASE HELP THIS IS THE LAST QUESTION AND I WANT TO GO TO BED. PLEASE EXPLAIN SO I CAN DO IT FOR NEXT TIME AS WELL
4). A rectangle is twice as long as its width. One way to write an expression to find the perimeter
would be w+w+2w + 2w. Write the expression in two other ways.
Step-by-step explanation:
p= 2(L+w)
= 2(2x+y)
or
P=L+L+L+L
=2x+y+2x+y
The midpoint of AB is M(1,1). If the coordinates of A are (-2,5), what are the coordinates of B?
Answer:
Step-by-step explanation:
(x - 2)/2 = 1
x - 2 = 2
x = 4
(y + 5)/2= 1
y + 5 = 2
y = -3
(4, -3) Coordinates of B
The coordinates of endpoint B is (4,-3).
What is the line segment?In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.
Now it is given that,
Mid point of line segment = M(1,1) i.e. (x,y)
coordinates of A = (-2,5) i.e. (x₁ ,y₁ )
So we have,
x = 1
y = 1
x₁ = -2
y₁ = 5
Let the coordinates of the end point be B(x₂,y₂)
Since,
x = (x₁+x₂)/2
⇒ x₂ = 2x - x₁
Put the values we get,
⇒ x₂ = 2*1 - (-2)
⇒ x₂ = 2 + 2
⇒ x₂ = 4
Similarly,
y = (y₁+y₂)/2
⇒ y₂ = 2y- y₁
Put the values we get,
⇒ y₂ = 2*1- 5
⇒ y₂ = 2 - 5
⇒ y₂ = -3
Hence, the coordinates of endpoint B is (4,-3)
To learn more about midpoint of line segment :
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PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Answer:
ok hold on lemme go get something then ill edit my answer
Step-by-step explanation:
Can you help please
Expand each expression and combine like terms if possible
2/3 (x+ 18 - 2x)
Answer:
This is the expression expanded
Step-by-step explanation:
Calculating overtime pay
Answer:
Hourly pay rate x 1.5 x hours worked overtime.
Step-by-step explanation:
For example, if you had an hourly wage of $10, you would first:
Start with the $10 owed. Then:
Multiply your hourly pay by 1.5 to get $15.
Lastly, multiply this number by how many hours you worked overtime. Let's say you work 5 hours overtime. Multiply the $15 by the 5 hours worked overtime, and you should get $75.
An equation to help you solve this could look something like this:
Y*1.5*O=T, where the variable "Y" is hours works, the variable "O" is the hours worked overtime, and the variable "T" is the total amount of money earned for working overtime.
What is the slope for this?
Answer:
1/2
Step-by-step explanation:
(-4--2)/(3-7)=-2/-4=1/2
Answer:
b. 1/2
Step-by-step explanation:
Points: (7, -2), (3, -4)
slope = (y2 - y1)/(x2 - x1)
slope = (-4 - (-2))/(3 - 7) = (-4 + 2)/(-4) = -2/(-4) = 1/2
Choose all the number sentences that have a sum less than 345,195: A) 189,753 + 155,655 B) 324,675 + 19,285 C) 185,476 + 155,923 D) 97,560 + 246,894 E) 313,489 + 32,450
Answer:
C, D
Step-by-step explanation:
Calculate the sum of all.
C and D have less then 345,195.
That is the answer.
The expression that has a sum of less than 345,195 are B, C, and D.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
To calculate the number of sentences that have a sum of less than 345,195. The expression is needed to be simplified as shown below.
A) 189,753 + 155,655 = 345,408
B) 324,675 + 19,285 = 343,960
C) 185,476 + 155,923 = 341,399
D) 97,560 + 246,894 = 344,454
E) 313,489 + 32,450 = 345,939
Learn more about Expression:
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what is 5.2 divided by 0.8
Answer:
Hey There!
5.2 divided by 0.8 IS 6.5!
Step-by-step explanation:
This means that 0.8 goes into the number exactly 6.5 times...
I HOPE THIS HELPS!!
Tom has a cube a rectangular prism. Triangular prism Which of his shapes have more than six vehicles
Rewrite in simplest radical form! Show your work.
[tex]x^{\frac{1}{\frac{-3}{6} }}[/tex]
First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.
[tex]x^{\frac{6}{-3} }[/tex]
Now that the fraction in the denominator is taken care of, we can reduce the denominator.
[tex]x^{-2}[/tex]. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.
[tex]x^{-2} = \frac{1}{x^{2} }[/tex]
Answer:
*i forgot what a radical is but* your answer is -2
Step-by-step explanation:
there is something called
REDUCE COMPOUND FRACTIONS
basically it's
[tex]m/f/t[/tex]
so
[tex]1/-3/6\\[/tex]
is gonna be
[tex]1*6/-3[/tex]
which is -2
A boy flying a kite lets out 300 feet of string. The height of the kite is 185 feet. What is the angle
formed between the string and the ground?
Answer:
The string, the height and the ground form a right triangle
The hypotenuse = 300
height =185 = opposite side
sine of the angle = 185 / 300 = 0.6166666667
arc sine (.616666666666) =
38.073 degrees
Step-by-step explanation:
Quadrilateral KLMN is similar to quadrilateral WXYZ. K Y Z W N M Complete the statements below. 1. Angle NKL is congruent to angle
Angel nkl is congruent to what angle
Answer:
Angle NKL is congruent to angle XYZ.
Step-by-step explanation:
I took the test and it was right
Hope this helped
You want to leave a nice tip on a $36 meal. So you decide to add 20% to the bill. How much is the total bill?
Answer:
43.20
Step-by-step explanation:
First find the tip
36 * 20 %
36 * .2
7.20
Then add the tip to the amount of the meal
36+7.20
43.20
You went to have a meal which costs $36, and maybe becoming very delighted with the taste and service of the food centre, you decided to add a tip.
[tex]20\%[/tex] of the total meal.So, First we need to find the tip by multiplying the percentage with the cost of meal
Tip:
[tex]20\% \: of \: 36[/tex]
[tex] \frac{20}{100} \times 36[/tex]
[tex] \frac{1}{5} \times 36[/tex]
[tex]7.2[/tex]
Now, we have got the amount of money we decided to give as a tip. And, we are already having the cost of meal. So, total money paid:
[tex]36 + 7.2[/tex]
[tex] \boxed{ 43.2}[/tex]
This is our required answer.
#CarryOnLearning
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y varies directly with x, and y=24 when x=-15. what is x when y=16? a) 10 b) -22.5 c) -10 d) -25.6
Answer:
c
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 24 when x = - 15, then
24 = - 15k ( divide both sides by - 15 )
k = [tex]\frac{24}{-15}[/tex] = - [tex]\frac{8}{5}[/tex] = - 1.6 , thus
y = - 1.6x ← equation of variation
When y = 16, then
16 = - 1.6x ( divide both sides by - 1.6 )
x = - 10 → c
If a = 2 b=-3 then find the value of 2a - 4b?
Given:
a=2b=-3Question:
2a - 4b
Step by step explanation:
Step 1:
2×2-4×(-3)
Step 2:
4-4(-3)
Step 3:
4+12
Step 4:
16
So 16 is correct answer
hope it helped you :)
Answer
16
Step-by-step explanation:
2×2-4×-3=
4+12=
16
Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon? (5 points + Brainiest!)
a
31 miles per gallon
b
527 miles per 17 gallons
c
5.27 miles per gallon
d
1 over 31 miles per gallon
Answer:
d
Step-by-step explanation:
527 / 17 = 31
4(x-6)=-4 I'll give you brainly
Answer: X = 5
Step-by-step explanation:
solve by multiplying the inside ( )
4x -24 = -4
add 24 to both sides
4x = 20
divide by 4
x = 5
Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?
Answer:
56 underwater breathing potions
Explanation:
Create variables to represent the different potions
- flying = f underwater breathing = b mind reading = m
Make equations to represent all of the information you've been given.
- The number of flying potions is ten more than the number of mind reading potions. f = r + 10
- The number of water breathing potions is two more than three times the number of mind reading potions. b = 3r + 2
- The total number of potions is 102. f+b+r = 102
Substitute the variable in your equation for the total number of potions.
102 = (r +10) + (3r + 2) + r = 102
Combine like terms.
102 = 5r + 12
Solve for r.
90 = 5r
18 = r
You have to find the number of underwater breathing potions, b. Go back the equation for b and substitute 18 for r.
b = 3r + 2
b = 3(18) + 2
b = 56
So, your total number of underwater breathing potions is 56.
3/4 of a cup of pasta sauce for every 12 ounces whats the unit rate
Answer:
the unit rate is 1/4 every 4 ounces
Step-by-step explanation:
12/3=4 3/3=1 so 1/4 of a cup every 4 ounces.
If mTUV = 9x + 1, and mTUW = 7x - 9, and mWUV = (5x-11), find the value of x
Answer:
x = 7
Step-by-step explanation:
We can't tell the order of angles here, so we'll assume that ...
m∠TUV = m∠TUW +m∠WUV
(9x+1) = (7x-9) +(5x-11)
9x +1 = 12x -20
21 = 3x
7 = x
On Gabriela's first birthday, her parents gave her a $50 savings account on every birthday after that her parents added to the account,
increasing the amount they deposited by $25 each year. Complete the recursive definition for the sequence that represents this situation by
finding the values for a, and d.
Initial amount , a = $50 .
Increase in price , d = $25 .
We need to find the recursive relation of the sequence .
If we notice it is an arithmetic progression with common difference $25 .
Which means that difference between any two consecutive term is 25 .
So , T(n) - T(n-1) = 25
T(n) = T(n-1) + 25 .
Hence , this is the required solution .
Find the difference
16-(-4)
i need help ASAP
202·87–100·87–2·87=
Step-by-step explanation:
202·87–100·87–2·87
=99.13
Answer:
8700
Step-by-step explanation:
If you want it evaluated, this is the answer. 202 ·87-100·87-2·87= 17574-100·87-2·87=17574-8700-2·87=17574-8700-174= 8700
How do you solve a problem involving squeeze theorem?
Answer:
Step-by-step explanation:
if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.
How do you solve this math problem?
5 = 12 + 4
Graph the solution on the number line 3x + 3) - 244 or 1-**-1
I need answer
Need some help on this