Given:
(2, 4) and (3, 3) are on the line.
To find:
The equation of line in point slope form.
Solution:
If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is
[tex]y-y_1=m(x-x_1)[/tex]
(2, 4) and (3, 3) are on the line. So, slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{3-4}{3-2}[/tex]
[tex]m=\dfrac{-1}{1}[/tex]
[tex]m=-1[/tex]
The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is
[tex]y-4=-1(x-2)[/tex]
Therefore, an equation of the line in point slope form is [tex]y-4=-1(x-2)[/tex].
ahhhhhhhhh come on I'm so stupid
Answer:
1. -32
2. -46
Step-by-step explanation:
1. When muliplying a number with a postive number and a negative number the answer will be a negative number
2. When you have a negative number and when you have a postive number and you are subtracting your answer has to be a negative answer
Answer:
cvgbnm,m
Step-by-step explanation:
bxxcvn vn
Luke and Joshua work at a dry cleaners ironing shirts. Luke can iron 35 shirts per hour, and Joshua can iron 25 shirts per hour. Luke worked 3 more hours than Joshua and they ironed 345 shirts between them. Determine the number of hours Luke worked and the number of hours Joshua worked.
Answer:
48
Step-by-step explanation:
I solved the problem step by step on paper and got it right
In triangle ABC, EG = x inches and BG = (5x - 12) inches. Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A D, B E, C F. [Figure may not be drawn to scale] What is EB? 2 inches 4 inches 8 inches 12 inches
Answer:
12. Hope this helps!!!
Step-by-step explanation:
Answer: Option D
Step-by-step explanation: edge
reduce the ratio to its lowest form 18:81
Answer:
1:4.5 or 2:9 if you want it a whole number.
Step-by-step explanation:
81/18 = 4.5If your trying to get it to a whole number the answer would be 2:9 because 18/9 = 2 and 81/9 = 9 so 1:4.5 or 2:9.
Round 90.2844097979 to 3 decimal places.
Answer:
It would be 90.284.
Step-by-step explanation:
HELP GEO QUESTION THX... GIVE ME EXPLANATION PLZZZZZ THXXXXX SOO MUCCHHHH
E is the midpoint of DA, and F is the midpoint of DB. This means EF is a midsegment of the triangle. It is half as long as AB, and EF is also parallel to AB.
When we extend EF to form segment EC, it is now twice as long compared to EF. So that shows EC is the same length as AB, in other words, EC = AB. Also, EC is parallel to AB. This works due to points E, F, and C being on the same line.
Since EC || AB, we know that angle EBA = angle BEC. These are alternate interior angles.
From the reflective property, we can say EB = EB
---------------
Using these three facts
EC = ABangle EBA = angle BECEB = EBto prove that triangle EBA is congruent to triangle BEC. The next step is to use CPCTC (corresponding parts of congruent triangles are congruent) to lead to
angle BEA = angle EBC
we can use the alternate interior angle theorem converse to conclude that EA is parallel to BC.
-----------------
In summary, we have proven:
EC is parallel to ABEA is parallel to BCBy the definition of what it means to be a parallelogram, we have proven quadrilateral EABC is a parallelogram. In short, we've shown that the opposite sides are parallel.
52 = p - 3
what is p ?
Answer: P=55
Step-by-step explanation:
52=p-3
52+3= p+3
55=p (-3+3=0)
I'm giving branliest 2X - 3y = 12 in a standard and point slope form
PLSS help
the answer either has to be -3 , 1/2, 2, 3, 0 , 1 , -2 , 5 , undefined
Answer:
-3
Step-by-step explanation:
4-7/1-0
1-4/2-1
-2-1/3-2
3x+2y=0
x-5y=17
solve in a Solving Systems by Elimination
Answer:
The answer is below!
Step-by-step explanation:
I hope this helps!
Answer:
For the first one,"3x+2y=0". i got 5=0.
For the second one,"x-5y=17". I got 3x
Step-by-step explanation:
There are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls. What is the number of boys in the band
Answer:
61 boys
Step-by-step explanation:
x=girls
2x+5+x=89
3x+5=89
3x=84
x=28
28 x 2 = 56
56+5=61
The number of boys in the band will be 61.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that there are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls.
The equation can be formed as below,
2x+5+x=89
3x+5=89
3x=84
x=28
The number of boys will be,
B = 2x + 5
B = 28 x 2 + 5
B = 56+5=61
To know more about an expression follow
https://brainly.com/question/15059152
#SPJ2
4.5 +(6y-3.5x)+7=
expression
Solve each multi-step linear equation
12-6x=-8x+7+7x
Answer:
1
Step-by-step explanation:
12-6x=-8x+7+7x
-6x+8x-7x=7-12
-5x=-5
X=5/5
X=1
So the value of X is 1
PLEASE HELP ME !
Determine the range of the inequality 4x2 + 3x - 10
Answer:
-22
Step-by-step explanation:
type it in google
Multiply out and simplify: (x + 6)(x - 2)
Answer:
x squared+4x−12
Step-by-step explanation:
Answer:
[tex] {x}^{2} + 4x - 12[/tex]
Step-by-step explanation:
[tex](x + 6)(x - 2)[/tex]
[tex] = > x(x - 2) + 6(x - 2)[/tex]
[tex] = > {x}^{2} - 2x + 6x - 12[/tex]
[tex] = > {x}^{2} + 4x - 12[/tex]
write any 5 safety measures that should be followed while working at industry .
Help me look at the picture
Answer:
it's B
Step-by-step explanation:
lol how do you not know this
Answer:
B
Step-by-step explanation:
Which notation best represents the phrase “at least 24”?
Answer:
less than or equal to 24
Step-by-step explanation:
this symbol ≤
its a mee again and I just wanted to ask
whats 10 divided by 9075
Answer:
0.00110192837
Step-by-step explanation:
Joshua's car used is of a gallon to travel of a mile. At what rate does the car use gas, in miles per gallon? On the double number line below, fill in the given values] , then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers. To enter a mixed number on the double number line, use a space and the slash key. For example: 3 1/2 miles o O 1 gallons Enter your final answers as fractions,mixed numbers,or whole number
Which is a correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” when n = 4?
The correct expression is StartFraction n cubed Over 16 EndFraction minus 2 + 8.
The correct expression is 2 minus StartFraction n cubed Over 16 EndFraction + 8.
One of the steps to determining the value when n = 4 is 1 minus 2 + 8.
One of the steps to determining the value when n = 4 is 2 minus 1 + 8.
The value when n = 4 is 6.
The value when n = 4 is 7.
The value when n = 4 is 9.
The value when n = 4 is 10.
Answer:
A and H are correct
Step-by-step explanation:
I took the quiz
The expression for the given statement is n³/16-2+8. Therefore, the options A and H are correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given statement is “two less than the quotient of a number cubed and sixteen, increased by eight”
"Two less than x" describes "x- 2"
"Quotient of x and y" describes x/y
"x increased by y" describes x+y
n³/16 is the quotient and 2 is subtracted and 8 is increased which means 8 is added.
So, the expression is n³/16-2+8
= n³/16 +6
When n=4, we get
4³/16 +6
= 4+6
= 10
Therefore, the options A and H are correct answer.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ3
A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by:
y=-0.0625x+1.25x +5.75 where x and y are measured in feet.
a) Will the truck fit under the arch? Explain (with numerical details).
BIRD
b) What is the maximum width that a truck 11 feet tall can have and still make it under the arch?
Answer:
Yes
8 ft
Step-by-step explanation:
The equation of the arch is
[tex]y=-0.0625x^2+1.25x+5.75[/tex]
Differentiating with respect to [tex]x[/tex] we get
[tex]\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25[/tex]
Equating with zero
[tex]0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10[/tex]
Double derivative of the equation
[tex]\dfrac{d^2y}{dx^2}=-0.125<0[/tex]
So, the function is maximum at [tex]x=10[/tex]
[tex]y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12[/tex]
The function is maximum at [tex](10,12)[/tex]
So, the truck's center should be below the point [tex](10,12)[/tex] for maximum width to pass through.
Now truck is 11 feet tall so [tex]y=11[/tex]
[tex]11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14[/tex]
The maximum width of the truck can be [tex]14-6=8\ \text{ft}[/tex] if it is 11 feet tall.
So, the truck which has a width of 7 feet can fit under the arch.
turn y=4x-7 into standard form.
10 teachers mark 500 exam papers in 30 hours. How many teachers are needed to mark 600 exam papers in 25 hours
Answer:
Approximately 15 tea hees
Step-by-step explanation:
Given that:
Number of teachers needed to Mark 500 exam papers in 30 hours =
Hence, marking rate of each teachers ;
500 / (30 * 10) = 500 / 300 = 1.667 papers per hour
If teachers mark at this rate, the number of teachers which will be required to mark 600 exam papers in 25 hours ;
Let number of teachers = t
(Rate * number of hours * number of teachers) = number of exam papers to be marked
(1.6667 * 25 * t) = 600
41.666665t = 600
t = 600 / 41.666665
t = 14.40000
Number of teachers needed = about 15 teachers
The State Fair charges $25 for admission and $1.25 for each ride. You go to the park
with a total of $40. How many rides are you able to ride?
A.12
B.13
C.14
D.15
Answer:
12 Rides
Step-by-step explanation:
After you pay $25 for admission you only have $15 left. If you multiply 1.25 × 12 you get 15.
Answer: A. 12
Step-by-step explanation:
40 - 24 = 15
15/1.25 = 12
Hope this helps :)
A game decreased in price by
1/3
After the reduction it was priced at £26.
What was the original price of the game??
Answer: £78
Step-by-step explanation
It decreased by 1/3 and after the reduction it was £26 so you have to get the other 2/3 so you multiply £26 by 3 to get the 3/3 that you need that will give you £78.
26 × 3 = £78
Use the number line to help you decide which statement is true.
Answer:
A
Step-by-step explanation:
because 1/2 = 4/8
and 5/8 is greater than 4/8
The number line is the representation of numbers in real order.
5/8 = 0.625
1/2 = 0.50
5/8 is greater than 1/2.
Option A is the correct answer.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
Example: Number line from -4 to 4.
-4__-3__-2__1__0__1__2__3__4
We have,
5/8 > 1/2
5/8 = 1/2
5/8 < 1/2
5/8 = 0.625
1/2 = 0.50
We see that,
0.625 > 0.50
So,
5/8 must be greater than 1/2
i.e
5/8 > 1/2
We can also find the relation between 5/8 and 1/2 in this way.
5/8 = 1/2
Cross multiply.
5 x 2 = 8
10 = 8
10 is greater than 8
So,
5/8 is greater than 1/2
5/8 > 1/2
Thus,
5/8 = 0.625
1/2 = 0.50
5/8 is greater than 1/2.
Option A is the correct answer.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ5
An item has listed price of $70. If the sales tax rate is 9%, how much is the sales tax (in dollars)
Answer:
The final sales tax price is $6.30.
Step-by-step explanation:
We know that the item has a listed price of $70, and it also has a 9% sales tax rate. In order to calculate this amount we need to do some multiplying.
$70 is the full amount of money, or 100%, plus 9% is 109%. To calculate the sales tax, we need to multiply the listed price by the sales tax rate.
70 x 1.09 = 76.3
Now, we must subtract the listed price (or $70), by the sales tax price (or $76.30)
76.3 - 70 = $6.30
Therefore, the final price of the sales tax is $6.30.
Hope this helps! :)
Simplify: (5x^3y^7)(7x^5y)
Answer:
35x^8 y^8
Step-by-step explanation:
Answer:
[tex]125y {}^{5}(7x {}^{5}y)[/tex]
Robert had money in his savings account. He spent $35.80 of it on a new jacket. He has $70 left. How much money did he have in his savings before he bought the jacket?
Answer:
105.8
Step-by-step explanation:
All you have to do is add them up :)
Answer:
95.80
Step-by-step explanation:
Btw this is very easy Hope this Helps tho (✿◡‿◡)