The area of a rectangular garden in square feet is x^2+35x-450. The width is (x-10) feet. What is the length of the garden?

Answers

Answer 1

Answer: x^2 + 35x - 450
Factor
(x + 45)(x - 10)

(x + 45) is the length

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The equation of line CD is (y − 3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?
What percent of 48 is 2.4
A local bookstore finds that each day approximately 20% of their sales are nonfiction books if they sell 425 books one day how many of those books are nonfiction?
How do i solve each proportion?
How many milliliters of a 15% saline solution and how many milliliters of a 40% saline solution must be mixed to produce 10 milliliters of a 30% saline solution?Volume of 15% solution= ____Volume of 40% solution = ____

The formula for converting from Celsius to Fahrenheit temperatures is F=9/5C+32"Determine whether the original formula is a function, and whether the inverse is a function''
A. Original is a function; inverse is not
B. Original is a function; inverse is a function
C. Original is not a function; inverse is not a function
D. Original is not a function; inverse is a function

Answers

Both the original and the inverse are functions because for each value of C there is a unique value of F and vice-versa.

i.e.
B. Original is a function; inverse is a function

Answer:

The correct option is B.

Step-by-step explanation:

The formula for converting from Celsius to Fahrenheit temperatures is

$F=(9)/(5)C+32$

A relation is called a function if there exist a unique output for each input.

The original formula is a function because for each value of C, there exist a unique value of F.

The inverse of the function is

$F-32=(9)/(5)C$

$(5)/(9)* (F-32)=C$

The inverse is also a function because for each value of F, there exist a unique value of C.

Therefore original is a function; inverse is a function. Option B is correct.

at murky middle school, 372 students ride the bus to school. if this number is 60% of high school enrollment, then how many students are enrolled at the school

Answers

372 divided by 60 give you 1% or 6.2. Take 6.2 times 100 for 100% of the students or 620 total students

How many days are in 3 2/7 weeks

Answers

Well, there are 7 days in a week, so we'll have to multiply that by 3, which would be 21, plus the other 2 days stated in da problem, so that would be a total of 23 days!
I hope I helped, and PLEASE choose my answer as the Brainliest!
Thank you! =D

7 × 3 = 21
21 + 2 = 23

So therefore, 23 days.

Jayla ran the first 3 miles of a 5-mile race in hour. What was her average rate, in miles per hour, for this first part of the race?.

Answers

Answer:

3 miles per hour

Step-by-step explanation:

We know

Jayla ran the first 3 miles of a 5-mile race in an hour.

What was her average rate, in miles per hour, for this first part of the race?

Average rate = Distance / Time

We take

3 ÷ 1 = 3 miles per hour

So, the answer is 3 miles per hour.

Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame? (answer should be a number only)

Answers

Given:

Area of a square frame = 81 square inches.

To find:

Perimeter of the frame.

Solution:

Let length of each side of the frame = a inches.

Area of square frame is

$Area=a^2$

$81=a^2$

Taking square root on both sides,

$\pm√(81)=a$

$\pm 9=a$

Side length cannot be negative. So, a=9 inches.

Perimeter of frame is

$Perimeter=4a$

$Perimeter=4(9)$

$Perimeter=36$

Therefore, the perimeter is 36 inches.

Final answer:

The perimeter of the frame is 36 inches.

Explanation:

To find the perimeter of a square, we need to know the length of its sides. Since the area of the frame is given as 81 square inches, we can find the length of one side by taking the square root of the area. The square root of 81 is 9, so each side of the frame measures 9 inches.

Since a square has four equal sides, we can find the perimeter by multiplying the length of one side by 4. Therefore, the perimeter of the frame is 9 inches x 4 = 36 inches.

Learn more about Perimeter here:

brainly.com/question/31695951

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Solve the system of equations 3y+2z=12 and y-z=9

Answers

mulitply second equation by 2 and add to first

3y+2z=12
2y-2z=18 +
5y+0z=30

5y=30
divide 5
y=6

sub back
y-z=9
6-z=9
minus 6
-z=3
times -1
z=--3

x=-3
y=6

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A landscaper is designing a flower garden in the shape of a trapezoid. She wants the length of the shorter base to be 3 yards greater

Jack, Jill, and Ron share a 2-bedroom apartment. Rent is represented by R. The water bill is $20 per person. The electric bill is $250 a month. Jill will be picking up the water bill for everyone as well as half of the electric. Ron will be paying the other half of the electric bill as well as his third of the rent. Jack will be paying Jill's portion of the rent as well as his own. Match each person with the appropriate algebraic expression.-abcd -abcd 185-abcd -abcd Jill's paymentJack's paymentRon's paymentNo Match