Answer:
[tex]\displaystyle y=-\frac{2}{3}x+3[/tex]
Step-by-step explanation:
We want to find the equation of the line that is parallel to:
[tex]\displaystyle y=-\frac{2}{3}x[/tex]
And passes through (-3,5).
First, we need to determine the slope of our new line.
Remember that parallel lines have the same slope.
Since the slope of our original line is -2/3, this means that the slope of our new line must also be -2/3.
Now, we can use the point-slope form given by:
[tex]y-y_1=m(x-x_1)[/tex]
We will let (-3, 5) be (x₁, y₁). By substitution:
[tex]\displaystyle y-(5)=-\frac{2}{3}(x-(-3))[/tex]
Simplify:
[tex]\displaystyle y-5=-\frac{2}{3}(x+3)[/tex]
Distribute:
[tex]\displaystyle y-5=-\frac{2}{3}x-2[/tex]
Add 5 to both sides. So, our equation is:
[tex]\displaystyle y=-\frac{2}{3}x+3[/tex]
Answer:
[tex]\displaystyle y = -\frac{2}{3}x + 3[/tex]
Step-by-step explanation:
5 = –⅔[–3] + b
2
[tex]\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3[/tex]
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.
I am joyous to assist you at any time.
Who can answer this?
What is the solution to the system of equations?
0 (3,2
0 (2, 3)
0 (2, 2)
(2,-2)
Answer:
What are the equations?
6(15 + 12)
Rewrite that with distributive property for crown!!!
Answer:
90 + 72 -> 162
Step-by-step explanation:
15 times 6 equals 90 and 12 times 6 equals 72, the distributive property equation is 90 + 72 in which can be added to 162 as a result.
Hey there!
The formula is: a(b + c) = a(b) + a(c) = ab + ac
“6(15 + 12)”
6(15 + 12)
6(15) + 6(12)
6(15) = 90
6(12) = 72
NEW EQUATION: 90 + 72
ANSWER: 90 + 72 = 162 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
The volume of a cube is increasing at a constant rate of 459 cubic inches per second. At the instant when the volume of the cube is 408 cubic inches, what is the rate of change of the surface area of the cube? Round your answer to three decimal places (if necessary).
Answer:
[tex]\frac{ds}{dt} =31.952[/tex]
Step-by-step explanation:
From the question we are told that
Cube increase rate 459 cubic inches
At 408
Generally the expressions of the is mathematically given to be
[tex]\frac{dv}{dt} =459[/tex]
[tex]\frac{dv}{dt} =3*l^2 \frac{dl}{dt}[/tex]
[tex]v=408[/tex]
Generally
[tex]v=l^3[/tex]
Therefore solving Mathematically
[tex]\frac{dv}{dt} =3*l^2 \frac{dl}{dt}[/tex]
[tex]459 =3*(7.416859539)^2 \frac{dl}{dt}[/tex]
[tex]459 =165.0294163\frac{dl}{dt}[/tex]
[tex]\frac{dl}{dt} =\frac{165.0294163}{459}[/tex]
[tex]\frac{dl}{dt} =0.359[/tex]
Therefore solving mathematically for surface area
[tex]Surface area S=6l^2[/tex]
[tex]\frac{ds}{dt} =6(2l* \frac{dl}{dt})[/tex]
[tex]\frac{ds}{dt} =12l* \frac{dl}{dt}[/tex]
[tex]\frac{ds}{dt} =12*(7.416859539)*0.359[/tex]
[tex]\frac{ds}{dt} =31.95183089[/tex]
[tex]\frac{ds}{dt} =31.952[/tex]
PLS CAN SOMEONE HELP ME
Answer:
w = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
8 = 4w + 53 + 5w
Step 2: Solve for w
Combine like terms: 8 = 9w + 53Isolate w term: -45 = 9wIsolate w: -5 = wRewrite: w = -5Step 3: Check
Plug in w into the original equation to verify it's a solution.
Substitute in w: 8 = 4(-5) + 53 + 5(-5)Multiply: 8 = -20 + 53 - 25Add: 8 = 33 - 25Subtract: 8 = 8Here we see that 8 does indeed equal 8.
∴ w = -5 is the solution to the equation.
julie buys 2kg of apples and 7kg of peras for £12.70 the pears cost 1.30 per kilogram what is the price per kilogram of the apples
Answer:
1.80
Step-by-step explanation:
1.30x7=9.10
1270-910=360
2kg of apples - 3.60
360/2=180
please help with 6-8 ! will give brainliest !! :)
Answer:
6:6=x
7:16=y
8:20=z
Step-by-step explanation:
For 6, since BD is a perpendicuar bisector, that means 15x=90. Divide 90 by 15 and you get 6
for 7, if bd is a angle bisector, you can set 3y=48. divide 48 by 3 and you get 16
for 8, since Bd is a median, you can set 2z-3=z+17. Isolate the variable and you will get 2z-z=17+3. Add like terms together and you get z=20
Just so you know, a perpendicular bisector will make both angles equal to 90, an angle bisector make both angles equal to each other, and medians make it so that it hit a line in the center therefor you can set both sides of the line to be equal
PLS HELP WITH MATH WILL MARK BRAINLIEST 30 POINTS!!
Emily is encouraged to read more than 4 hours each week. It takes her 45 minutes to finish her first book. She divides the remainder of the time equally amongst the other six days. What is the minimum number of minutes she should read each day?
A. x > 32.5 minutes
B. x > 40 minutes
C. x \leq 32.5 minutes
D. x[\leq 40 minutes
Answer: D
Step-by-step explanation:
40+40= 1 hour 20 min
40+40= 1 hour 20 min
40+40 = 1 hour 20 min
40————-> 40 min
Add all together you get 4 hours in one week
Your welcome !
will give brainlest 5 star and thans
Answer:
96 in
Step-by-step explanation:
Joe has eaten 2/5 of a pizza.Jane has eaten 1/6 of a pizza how many more pizza has joe eaten than Jane?
Joe ate 7/30 more of pizza than Jane. You can just subtract 2 uneven denominators. So you would turn them into 30 because that’s the closest highest number that can go with 5 and 6. Then multiply 2 with 6 which is 12 and then multiply 1 with 5 which is 5 now you can subtract it. 12/30-5/30=7/30.
Final Result: 7/30
........................................ ....,....
.....
I'll give u brainless if u do!
Answer:
9. 5×5×5= 125
10.2×2×2×2=16
11. 8×8= 64
12. 4×4×4×4=256
13. 6×6×6= 216
14. 1×1×1×1×1×1= 1
Find the greatest common factor of 9n and 7n^3
Peter has a 25 acre field. He 20.5 acres with sweet corn . What fraction of his field does Peter plant with sweet corn
Answer:
82%
Step-by-step explanation:
Multiply 25*4 to get 100.
Then multiply 20.5*4 because what you do to one side you have to do for the other.
You end up with 0.82 or 82%
Based on the length of the field and the amount of the field that was planted the fraction of the field planted is 4.1/5.
The field has a length of 25 acres and Peter plants in 20.5 acres of them.
The fraction that is planted is:
= Amount of field planted on / Total area of field
Solving will give:
= 20.5 / 25
Take to the simplest form by dividing both by 5:
= 4.1 / 5
In conclusion, the fraction planted on is 4.1/ 5.
Find out more on fractions at https://brainly.com/question/11289219.
5[8(7−4)÷6]
What is the value of the expression?
Answer:
20
Step-by-step explanation:
5[8(7−4)÷6]
5[8(3)/6]
5{24/6]
5[4]
20
Answer:
20 is the right answer.
Step-by-step explanation:
→5[8(7-4)÷6]
=5[8(3)÷6]
=5[24÷6]
=5[4]
=20
A skateboarding club randomly surveyed 200 people who visited the club's website about their favorite skateboard brand. The data collected is shown in the table.
Answer: 36/200 = 18/100 = 18%
Step-by-step explanation:
Rewrite the expression as square of a monomial.
0.09a^2
EXTRA POINTS!!!
Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
0.3
Step-by-step explanation:
Brainliest?
We want to rewrite the given expression as a square of a monomial. We will get:
0.09*a^2 = (0.3*a)^2
So we have the expression:
0.09*a^2
We want to write this as a square of a monomial like:
(c*a)^2 = 0.09*a^2
Basically, we must find a number c such that:
c^2 = 0.09
c = √(0.09) = 0.3
Then the monomial is:
0.3*a
And we can rewrite the given expression as:
(0.3*a)^2
If you want to learn more, you can read:
https://brainly.com/question/11363511
If an= 4+2(n-1), what is the first term?
Answer:
4
Step-by-step explanation:
4 is the base of the equation and then as it goes on, you add 2* the point in the sequence -1
Ruben swims several times per week in a lake near his home. Last summer, the average water temperature was 20 °C. This summer, the average water temperature was 16 °C. What was the percent of decrease in the temperature?
How do you solve for x/3 - x/5
Answer:
x/3 - x/5 = 2/15x
Step-by-step explanation:
Please mark brainlliest if you want.
4 3/8 ÷ 1 3/8 = answer asap plsssss.
Answer:
3.1
Step-by-step explanation:
Answer:
1 2/3 : 4 3/8 = 8/ 21 ≅ 0.3809524
Step-by-step explanation:
Have A Wonderful Day !!
Write the equation in slope intercept form of a line that has a slope of 1/2 and passes through the point (-8,-4).
A 1-mile hiking path has signs placed every 240 feet. There are signs also placed at the beginning and end of the mile. How many signs are there?
Answer:
yep 22
Step-by-step explanation:
A company is installing a new ski lift at a height of 225
meters above the mountain, to ascend at an angle of 48
degre.
Determine the length of the rope the elevator will require
to run from the base to the top of the mountain
Answer:
4.6875
Step-by-step explanation:
225 divided by 48 = 4.6875
Will give brainliest. Explain in detail, please and thank you.
You went to lunch with your friend, and the bill was $19.00. Your lunch is $3.00 more than your friend's. How much was your friend's lunch?
f+ 3 = 19; $8.00
3f + 2 = 19; $8.00
2 + 3 = 19; $8.00
2 - 3 = 19; $8.00
Step-by-step explanation:
f, your friends lunch
f + 3, your lunch
f + f + 3 = 19
2f + 3 = 19
2f = 16
f = 8
Your friends lunch was $8
I hope this helped!!!!
you are rolling a die number 1-6. What is the theoretical probability that you roll a 6?
Answer:
16.7 percent
So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. So to get two 6s when rolling two dice, probability = 1/6 × 1/6 = 1/36 = 1 ÷ 36 = 0.0278, or 2.78 percent.
The sum of a number, n, and -2 is multiplied by -4. The result is at most 36. Which shows the inequality that represents this situation and its solution?
The answer choices given are
1.−4(n+2)≤36; n≤7
2.−4(n−2)≤36; n≥−7
3.−4(n−2)≤36; n≥−11
4.−4(n+2)≤36; n≤−11
Answer:
Step-by-step explanation:
-4(n+3) <36;n<7
find the slope of the line through each pair of points (6, -10) , (-15 , 15)
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ slope \ of \ the \ line \ is \ \dfrac{-25}{21}.}}}[/tex]
Step-by-step explanation:Two points are given to us and we need to find the slope of the line . The slope of the line passing through points [tex]\bf (x_1,y_1 ) \ \& \ (x_2,y_2) [/tex] is given by ,
[tex]\qquad\boxed{\red{\bf Slope = tan\theta=\dfrac{y_2-y_1}{x_2-x_1}}}[/tex]
Here , the points are ,
( 6 , -10 )( -15 , 15 )[tex]\bf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1} \\\\\bf\implies Slope =\dfrac{15-(-10)}{-15-6} \\\\\bf\implies Slope = \dfrac{15+10}{-21}\\\\\bf\implies Slope =\dfrac{-1(25)}{-1(-21)}\\\\ \bf\implies\boxed{\red{\bf Slope =\dfrac{-25}{21}}}[/tex]
★ Hence the slope of the line joining the two points is -25/21 .505 u
225 u
What is the Scale Factor? Show the work for the equation method
to solve, please.
Answer:
1.5
Step-by-step explanation:
What is the surface area of the box if its 5 1/2 by 3
Answer:
I think 30
Step-by-step explanation: