Answer:
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (7,4)[/tex]
Required
Complete the equation y - 4.....
First, we need to determine the slope as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4 - 3}{7 - 2}[/tex]
[tex]m = \frac{1}{5}[/tex]
The equation is then calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 4 = \frac{1}{5}(x -7)[/tex]
Open bracket
[tex]y - 4 = \frac{1}{5}x -\frac{7}{5}[/tex]
Add 4 to both sides
[tex]y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x +\frac{-7+20}{5}[/tex]
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Answer:
y - 4 = 1/5 ( x - 7 )
Step-by-step explanation:
Khan Academy
What needs to be done to rationalize the expression 5 over 2 minus radical 3 so there will no longer be a radical in the denominator
Answer:
[tex]10+5\sqrt{3}[/tex]
Step-by-step explanation:
Given the expression: 5 / (2 - √3)
To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator. The conjugate of (2 - √3) is (2 + √3). Hence multiplying gives:
[tex]\frac{5}{2-\sqrt{3} }*\frac{2+\sqrt{3}}{2+\sqrt{3}} \\\\=\frac{10+5\sqrt{3} }{4+2\sqrt{3}-2\sqrt{3}-3 }\\\\Simplifying\ the\ expression:\\\\ =\frac{10+5\sqrt{3} }{1}\\\\= 10+5\sqrt{3}[/tex]
Hence: 5 / (2 - √3) = [tex]10+5\sqrt{3}[/tex]
How many integers are there between -12 and 12?
Problem:
Store A has the bat originally priced at $245 and is having a 25% off sale.
Store B’s bat has an original price of $166 but is marked up 20%.
Which store has the better price for the baseball bat
Answer:
Store A has a better deal
Step-by-step explanation:
Store A-
245x.25=61.25
245-61.25=183.75
Store A's sale price is $183.75
Store B-
166x.20=33.20
166+33.20= 199.20
Store B's new price is $199.20
Conclusion
$183.75 is less than $199.20 so store A has a better deal because you're paying less than what you would be paying at store B
15 feet to 33 feet
What is it
The answer is 220%.
hope this help
Answer:
If you are doing 15 x 33 it is 495
Let me know if it isn't x and I can change my answer.
Step-by-step explanation:
Hope this helps
Just to let you know I will help you to let me know if you need help with something you can friend me or go to one of my questions and tell me in the
C
H
A
T
Which two operations are needed to write the expression that represents "five less than the quotient of a number anc
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
division and addition
Answer:
Division and subtraction/B
have a good day/night :)
A piece of green rope is being used to make a border around the outside of a sculpture that is in the shape of an equilateral triangle. One side of the equilateral triangle has a length of 3x + 3. Give TWO equivalent expressions that can be used to represent the length of the rope that is used to border all 3 sides.
Answer:
The equivalent expressions are;
9x + 9
and
9(x + 1)
Step-by-step explanation:
Mathematically, we should understand that an equilateral triangle has all of its sides equal
So if one side is 3x+ 3, the other sides too measures same
Therefore, the length of the rope represents the perimeter of the triangle
This is obtainable by adding all the side lengths together
This will be;
3x + 3 + 3x + 3 + 3x + 3 = 9x + 9
This is also same as 9(x + 1)
Answer:
sussi baker!!!
Step-by-step explanation:
Which two charges have a sum of 0?
+6 charge and +6 charge
-6 charge and -6 charge
+6 charge and -6 charge
2. Where is the number 4 - 8 located on a horizontal number line?
4 units to the left of 4
4 units to the right of 4
8 units to the left of 4
3. Simplify 7 + (-3)
-10
-4
4
5 which fraction is equivalent to -1/6
6/-1
-6/1
1/-6
4. Simplify (4.5)(5)(-2)
45
4.5
-45
6. Which expression is equivalent to 2(m- 5) + 6
2m - 1
2m + 22
2m - 4
Question: +6 charge and -6 charge
Question 2: 8 units to the left of 4
(4 - 8 = -4 and 8 units left is -4)
Question 3: 4
(7 +(-3) is essentially 7-3 which equals 4 because negative takes over the positive)
Question 5: 1/-6
(it doesn't matter if the negative symbol is on top or bottom, numerator or denominator just the numbers have to stay in the same place)
Question 4: -45
(4.5 times 5 is 22.5, and 22.5 times -2 is -45, the negative takes over the positive)
Question 6: 2m-4
( 2(m-5) +6
distribute first
2 times m = 2m
2 times -5 = -10
so now you have 2m - 10 + 6
combine like terms to get 2m - 4
(-10 + 6 = -4)
To rent a van, a moving company charges $40.00 plus $4.50 per mile. The table shows the total cost for
the number of miles driven. Enter an equation in slope-intercept form to represent this situation.
Answer: y= 0.50x + 40
Step-by-step explanation:
Find the missing of the largest angle in the triangle shown. 15x
24x
21x
Answer:
The largest angle is 72
Step-by-step explanation:
I'm just assuming because
1. you didnt show a picture.
HELPPPP PLEASEEE!!!
Quick question um doing this assignment what numbers are divisible by 4 and 6 ?
36,360,24,240,12,120, I think there might be more but this is all I could think of rn sorry
Find the measure of the exterior angle.
Two friends are going to the mall to buy pizza. One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75. Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00. Find the cost of each.
Answer:
The cost of each:
1 cheese slice = c = $3.75
1 pepperoni slice = p = $2.5
Step-by-step explanation:
Let the cost:
1 cheese slice = c
1 pepperoni slice = p
Two friends are going to the mall to buy pizza.
One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75.
c + 2p = $8.75.....Equation 1
c = $8.75 - 2p
Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00.
2c + 3p = $15.00.....Equation 2
We substitute 8.75 - 2p for c in Equation 2
2(8.75 - 2p) + 3p = $15.00
17.5 - 4p + 3p = 15
Collect like terms
- 4p + 3p = 15 - 17.5
-p = -2.5
p = $2.5
c = $8.75 - 2p
c = $8.75 - 2(2.5)
c = $8.75 - 5.0
c = $3.75
The cost of each:
1 cheese slice = c = $3.75
1 pepperoni slice = p = $2.5
please help i give extra pts
Answer:
3:1 2:3 1:4 4:2
Step-by-step explanation:
I had the same one on my quiz
[tex]( {p}^{6} {q}^{ \frac{3}{2} } {)}^{ \frac{1}{3} } \\ = ( {p}^{6 \times \frac{1}{3} } ).( {q}^{ \frac{3}{2} \times \frac{1}{3} } ) \\ = ( {p}^{2} ).( {q}^{ \frac{1}{2} } ) \\ = {p}^{2} {q}^{ \frac{1}{2} } [/tex]
Solve for x: 5<-4x-11<13
Answer:
[tex] - {4} < x < - 6 \\ [/tex]
Step-by-step explanation:
[tex]5 < - 4x - 11 < 13[/tex]
Add 11 to both sides of the inequality to make - 4x stand alone
[tex]5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ 16 < - 4x < 24[/tex]
Divide both sides by - 4
[tex] - \frac{16}{4} < \frac{ - 4x}{ - 4} < - \frac{24}{4} \\ - {4} < x < - 6[/tex]
Reverse the signs
We have the final answer as
[tex] - 4 > x > - 6 \\ [/tex]
Hope this helps you
Answer:
-4>x>-6Step-by-step explanation:
to understand thisyou need to know about:inequalityPEMDAStips and formulas:the direction of inequality does not change when you
add or subtract a number from both sidesmultiply or divide both sides by a positive numbersimplify a sidethe direction of inequality does change when you
multiply or divide both sides by negative numberswapping left and right hand sidelet's solve:[tex] step - 1 : define[/tex]
[tex] \sf 5 < - 4x - 11 < 13[/tex]
[tex] step - 2 : solve[/tex]
[tex] \sf add \: 11 \: to \: every \: sides : \\ \sf 5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ \sf16 < - 4x < 24[/tex][tex] \sf \: divide \: both \: sides \: by \: - 4 \: and \: swap \: the \: inequalities : \\ \sf \sf - 4 > x > - 6[/tex]Pepay had 0.37 inches of yarn, Riza had 0.45 inch of yarn too. Their friend Lala asked to borrow 0.25 inch of yarn that they have. What is the length of the remaining yarn?
Answer:
0.57 inches was left
Step-by-step explanation:
Here, we start by calculating the total length of the yam they have
Mathematically, that will be 0.37 + 0.45 = 0.82 inch
Now, to get what is remaining, we subtract what was borrowed
Mathematically, that is 0.82-0.25 = 0.57 inches
HELPPPPPPPPPPPP!!! PLEASEEEEEE!! I NEED THIS RIGHT NOWWWW
Answer:
h = 15.13 cm
Step-by-step explanation:
Lateral Surface Area of a Cone
Given a right circular cone of base radius r and height h, the lateral surface area is given by:
[tex]A=\pi r\sqrt{r^2+h^2}[/tex]
We are given the lateral area of a funnel as A=236.64 square cm and the radius is r=4.75 cm. It's required to find the height of the cone. It can be calculated by solving for h.
Squaring:
[tex]A^2=\pi^2 r^2(r^2+h^2)[/tex]
Dividing by [tex]\pi r^2[/tex]
[tex]\displaystyle \frac{A^2}{\pi^2 r^2}=r^2+h^2[/tex]
Subtracting [tex]r^2[/tex]:
[tex]\displaystyle \frac{A^2}{\pi^2 r^2}-r^2=h^2[/tex]
Taking square root:
[tex]\displaystyle h=\sqrt{ \frac{A^2}{\pi^2 r^2}-r^2}[/tex]
Substituting the values:
[tex]\displaystyle h=\sqrt{ 251.472-22.5625}[/tex]
[tex]\displaystyle h=\sqrt{ 228.909}[/tex]
h = 15.13 cm
Pls help ASAP!!!!! It would help a lot! Pls explain ur reasoning
what is the mean of 72, 84, 89, 82, 93, 100, 90, 88, 80, 82, and 85
Answer:85.9
Step-by-step explanation:
add everything together and divide by 11
Answer:
Step-by-step explanation:
72+84+89+82+93+100+90+88+80+82+85=945
There are 11 numbers.
Thus 945/11 is the mean
Bhavesh walked 3 1/8 miles on Saturday and Alana walked 4 3/4 miles how many more miles did Alana walk? A.5/8, B.1 1/2, Or C.1 5/8
Answer:
A-5/8
Step-by-step explanation:
Please it’s a quick yes or no
Any help please and thank you
Answer:
n=6
j=15
u=7.6
Step-by-step explanation:
Given TACBRD=MYPXEF
we find that the ratio is 1 : 2.5 and we solve from here
The perimeter of a square is equal to the perimeter of an equilateral triangle. The length of a side of the square is given by x, and the length of a side of the equilateral triangle is given by x + 1. Which equation can be used to find the value of x?
x = 3 (x + 1)
3 x = 4 (x + 1)
4 x = 3 (x + 1)
x = x + 1
Answer:
4x=3(x+1)
Step-by-step explanation:
Can you please help me
Answer:
F (I think)
Step-by-step explanation:
2/3 is 0.66 (forever), 65%, 5/8 is .625, and 0.6 (0.600)
Hopefully, this helps :D
Answer:
the answer should be f
Step-by-step explanation:
help guys yes if same amount then no if not same amount
Answer:
1a. yes
2a. yes
3a. yes
4a. yes
5a. yes
6a. yes
7a. yes
sorry, i'm not sure about any of these.
1c. yes
What is the slope of the line that contains these points? (12,-4) (13,2) (14,8) (15,14)
Answer:
6
any more help just ask :)
I REALLY NEED HELP PLS!!! Devon earned $42,500 last year and spent 12% of it on home repairs. How much did he spend on his home?
Answer:
$47,600 Spent on home repairs
Step-by-step explanation:
So we know that Devon is spending 12 percent of the home cost on repairs
We know the home cost is 42,500
So we just add 12 percent to the bundle
We know 42,500 is 100 percent of the price
And we want to add another 12 percent since the question is asking for the total amount spent on homes
So initially we just multiply 42,500 by 112% or 1.12
Now just multiply
You’ll get 47,600
A recipe calls for 14cup of brown sugar for every 23cup of white sugar. How many cups of brown sugar are required for every cup of white sugar? 1Points A 18cup of brown sugar B 38cup of brown sugar C 14cup of brown sugar D 34cup of brown sugar
Note: Consider all the numeric values are in the fraction form. Like [tex]14\to \dfrac{1}{4}[/tex], [tex]23\to \dfrac{2}{3}[/tex] etc.
Given:
A recipe calls for [tex]\dfrac{1}{4}[/tex] cup of brown sugar for every [tex]\dfrac{2}{3}[/tex] cup of white sugar.
To find:
The number of cups of brown sugar that are required for every cup of white sugar.
Solution:
We know that,
Required brown sugar for [tex]\dfrac{2}{3}[/tex] cup of white sugar = [tex]\dfrac{1}{4}[/tex] cup
Using this, we get
Required brown sugar for 1 cup of white sugar = [tex]\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}[/tex] cup
[tex]=\dfrac{1}{4}\times \dfrac{3}{2}[/tex] cup
[tex]=\dfrac{3}{8}[/tex] cup
So, [tex]\dfrac{3}{8}[/tex] cup of brown sugar is required for every cup of white sugar.
Therefore, the correct option is B.
Can anyone simplify
5y + 4x +5x
Answer:
5y+9x is the simplified version
Which of the following is the MOST resistant to erosion?
Answer:
steel
plastic coating paints