Answer:
4y = 6x + 40
Step-by-step explanation:
The general equation of a straight line is y = mx + b
m is the slope and b is the y-intercept
let us write both equations in this form;
we have this as;
6y = -4x + 1
y = -4x/6 + 1/6
and;
2x + 3y = 18
3y = -2x + 18
y = -2x/3 + 6
So firstly we want to find an equation that is perpendicular to the first
When two lines are perpendicular, their slopes has a product of -1
The slope of the first line is -4/6
let the slope of the line we want be m
As per they are perpendicular;
-4/6 * m = -1
-4m/6 = -1
-4m = -6
m = 6/4
So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6
we can choose 10
and we have the equation as:
y = 6x/4 + 10
multiply through by 4
4y = 6x + 40
The senior classes at Portland High School and Biddeford High School planned separate
trips to New York City. The senior class at Portland High School rented and filled 1 van
and 6 buses with 372 students. Biddeford High School rented and filled 4 vans and 12
buses with 780 students. Each van and each bus carried the same number of students. How
many students can a van carry? How many students can a bus carry?
Elijah is going to invest in an account paying an interest rate of 5.5% compounded continuously. How much would Elijah need to invest, to the nearest hundred dollars, for the value of the account to reach $1,400 in 16 years?
Answer:
600
Step-by-step explanation:
yw
The figure is made by two right rectangular prisms.
What is the volume of the figure?
Answer:
d
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is
related to the time after launch, x in seconds, by the given equation. Using
this equation, find the maximum height reached by the rocket, to the nearest
tenth of a foot.
y = -16x2 + 212x + 139
Answer:
y = 841.25 feet
Step-by-step explanation:
Given that,
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as follows:
[tex]y = -16x^2 + 212x + 139[/tex] ....(1)
We need to find the maximum height reached by the rocket.
For maximum height, put dy/dx = 0
So,
[tex]\dfrac{d(-16x^2 + 212x + 139)}{dx}=0\\\\-32x+212=0\\\\x=\dfrac{212}{32}\\\\x=6.625\ s[/tex]
Pu x = 6.625 in equation (1).
[tex]y = -16(6.625)^2 + 212(6.625) + 139\\\\y=841.25\ feet[/tex]
So, the maximum height reached by the rocket is equal to 841.25 feet.
There is a population of 300,000 bacteria in a colony. If the number of bacteria doubles every
26 minutes, what will the population be 52 minutes from now?
Answer:
156000000
Step-by-step explanation:
192.692 - 58.1987
Estimate The Difference
Answer: 134.4933
Step-by-step explanation: 58.1987 minus 192.692 is 134.4933
Find the distance between the points (2, 4) and (8,-8) on a coordinate plane, to the nearest whole number.
Answer:
2,5
Step-by-step explanation:
2 to the right and 5 up
what type of association is there ??
Answer:
Negative because the dots travel down away from the positive area
someone please tell me how to work out this type of problem i completely forgot
Answer:
Plug the x-values into the equation to get the y values. This will give you coordinates that you can graph a line with.
Step-by-step explanation:
For x = -5: y = -3 - 2 * (-5) = 7, so the coordinates are (-5, 7)
For x = -2: y = -3 - 2 * (-2) = 1, so the coordinates are (-2, 1)
(Etc.)
Then, plot these coordinates and draw a line through them to complete the graph.
can someone please help me
Answer:
A
Step-by-step explanation:
The formula is y-b=m(x-a)
m is the slope
a is the x term
b is the y term
y-6=3(x-5)
Answer:think the answer c
Step-by-step explanation:
what is the x-intercept of the graph 4x-6y=12
Someone plz help!! Plz read the question
Answer:
preferred
ability
extraordinary
parading
playing
squeaky clean
occasion
immediately
x2-3x-2=0 by Formula method
Answer:
Answer with steps........
Let f(x)=x^2+2 and g(x)=1-3x Find each function value. f(g(-1))
Answer:
78
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
(x^2+2)*(1-3x)=-3x^3+x^2-6x+2
now plug in -1
-3(-1)^3+(-1)^2-6(-1)+2=12
hope this helped
help please. i really need to pass
Answer:
Number of year, when final value is $61,412.50 = 3 year
Number of year, when final value is $20,000 = 10 year (Approx.)
Step-by-step explanation:
Given:
Depreciation model
y = 100,000[0.85]ˣ
Where x = Number of year
Find:
Number of year, when final value is $61,412.50
Number of year, when final value is $20,000
Computation:
Depreciation model
y = 100,000[0.85]ˣ
61,412.50 = 100,000[0.85]ˣ
0.614125 = [0.85]ˣ
x = 3
Number of year, when final value is $61,412.50 = 3 year
Depreciation model
y = 100,000[0.85]ˣ
20,000 = 100,000[0.85]ˣ
0.2 = [0.85]ˣ
x = 10 (Approx.)
Number of year, when final value is $20,000 = 10 year (Approx.)
A rectangle has vertices at (0,0), (4,0), (4,3), (0,3). Give the base and height of three parallelograms with the same area
Answer:
The base and height of three parallelograms with the same area as the 12 square inches rectangle are
1) First parallelogram;
Base length of parallelogram = 4 units
Height of parallelogram, = 3 units
2) Second parallelogram
Base length of parallelogram = 6 units
Height of parallelogram, = 2 units
3) Third parallelogram
Base length of parallelogram = 5 units
Height of parallelogram, = 2.4 units
Step-by-step explanation:
The vertices of the rectangle are; (0, 0), (4, 0), (4, 3), and (0, 3)
Let ABCD represent the vertices of the rectangle such that we have;
A(0, 0), B(4, 0), C(4, 3), and D(0, 3)
The area of the rectangle, A = The length of AB × The length of CB
The length of AB = √((4 - 0)² + (0 - 0)²) = 4
The length of CB = √((4 - 4)² + (3 - 0)²) = 3
∴ The area of the rectangle, A = 4 × 3 = 12 square units
The area of a parallelogram = Base length × Height
The base and height of three parallelograms with the same area as the 12 square inches rectangle are;
1) Base length of parallelogram = 4 units
Height of parallelogram, = 3 units
The area of the parallelogram, A = Base × Height;
∴ A = 4 units × 3 units = 12 units²
2) Base length of parallelogram = 6 units
Height of parallelogram, = 2 units
The area of the parallelogram, A = Base × Height;
∴ A = 6 units × 2 units = 12 units²
3) Base length of parallelogram = 5 units
Height of parallelogram, = 2.4 units
The area of the parallelogram, A = Base × Height;
∴ A = 5 units × 2.5 units = 12 units².
The faces of a fair 6-sided cube are numbered 1 through 6.
What is the probability that a 2, 3, or 5 will land face-up on
the next roll?
Answer:
1/2
Step-by-step explanation:
2,3,5 are three out of a total of six options
3/6 = 1/2
MULTIPLE CHOICE QUESTION PLS HELP ME
Answer:
The answer is C.
Please help? Is this correct i need tight now poease
Answer:
Yes
Step-by-step explanation:
Your answer is correct :) good job and keep it up!
Five less than the quotient of a number and 3 is 13. What is the number? Let n be the unknown number.
[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]Answer: n=54
Step-by-step explanation:
[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]
Answer: n/3 - 3 = 13
so its 48 your welcome
Step-by-step explanation:
There are rainy days, sunny days, and cloudy days.
- September and October had the same number of rainy days.
- There are 10 rainy days in total for both months.
- There were 3 more cloudy days in October then in September.
How many sunny days were there in September?
Answer:
3 more sunny days in September then in October
explain how you can tell whether a group of ratios represents a proportional relationship. PLEASE HELP
Two angles are complementary. One angle is 52°. How many degrees is the other angle?
Answer:
B
Step-by-step explanation:
Complementary angles sum to 90° then the other angle is
90° - 52° = 38°
Answer:
B 38°
Step-by-step explanation:
complementary angles are two angles that up to 90°, since we know one is 52°, 90-52=38, so your answer is 38
NO LINKS FOR THE LAST TIME JUST HELP ANSWER THE QUESTION WITH A B C OR D WILL GIVE BRAINLIEST!!
Answer: letter b
Step-by-step explanation:
PLEASE HELP MY MATH GRADE IS LOW AND THIS IS THE ONLY WAY TO GET IT UPPPPP PLEASE I WILL MARK U BRAINLEST PLEASE TRY YOUR BEST THANKSSS SO MUCH
Answer:
I can't see!
Step-by-step explanation:
How many inches are equal to 14 feet?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Random GUIDE for you to go by}\downarrow[/tex]
• [tex]\large\textsf{12 inches = 1 foot}[/tex]
• [tex]\large\textsf{You have to MULTIPLY the \# (NUMBER) of feet by 12 (also known as} \\\large\textsf{your inches)}[/tex]
[tex]\large\text{So now that you have that little guide, we can answer your question.}[/tex]
[tex]\large\textsf{\# of FEET in this given word problem/question is: \bf 14}[/tex]
[tex]\large\textsf{So, we have to multiply that by the inches: \bf 12}[/tex]
[tex]\large\textsf{Equation: }\mathsf{14\ feet \times 12\ inches = \bf 168 \ inches }[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 168 inches}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Solve for the unknown value
Roscoe is locked outside his house.The only unlocked window is on the 2nd floor which is 24 feet from the ground. He will have to borrow a ladder from the neighbors house and place it 7 feet from the house. What length of ladder does he need to reach the 2nd floor safely
Answer:
25 feets
Step-by-step explanation:
The scenario above can be modeled and solved Using Pythagoras :
Height to second floor = 24 feets
Horizontal Distance between foot of ladder and wall = 7 feets
Let length of ladder = x
The lengtb of ladder here is the hypotenus
Recall:
Hypotenus = sqrt(opposite² + adjacent²)
Hence,
x = sqrt(24² + 7²)
x = sqrt(576 + 49)
x = sqrt(625)
x = 25
Hence, length of ladder = 25 feets
Identify three pythagorean triples using the known triple 8, 15, 17. What does this mean?
Answer:
yes
Step-by-step explanation:
8² + 15² = 17²
64 + 225 = 289
289 = 289
Find the surface area of a sphere with a diameter of 14
Answer:
SA = 615.44
Step-by-step explanation:
d = 14
r = d/2
r = 7
SA of a Sphere:
SA = 4πr²
SA = 4(3.14)(7²)
SA = 4(3.14)(49)
SA = 12.56(49)
SA = 615.44