Hello from MrBillDoesMath!
Answer:
l = 12 feet, w = 5.5
Discussion:
Let w be the width of the pen and "l" the length. From the problem statement
l = w + 6.5 and the perimeter, P, of the fence -= 35.
Now the perimeter of the rectangle is given by the formula
P = 2l + 2w.
In our case, P = 35 and l = w + 6.5 so the equation becomes:
35 = 2(w+6.5) + 2w =>
35 = 2w + 13 + 2w =>
35 = 4w + 13 => (subtract 13 from both sides)
35-13 = 4w =>
22 = 4w =>
w = 22/4 = 5.5 feet
As, l = w + 6.5, l = 5.5 + 6.5 = 12 feet
Thank you,
MrB
The function g(x) is a quadratic function:
- Its quadratic term is -2x²
- Its linear term is - 3x
- Its constant is 6
<h3>What are functions?</h3>
Functions are algebraic expressions that have at least two variables, in order to make their visual representation through a graph and evaluate their behavior.
This problem deals with linear or quadratic functions, and these differ in the degree of the exponent of the variable:
1 : linear
2 : quadratic
The function:
g(x) = -2x² - 3(x- 2).
g(x) = -2x² - 3x + 6 , we have a quadratic function.
- Its quadratic term is -2x²
- Its linear term is - 3x
- Its constant is 6
Learn more about functions at:
brainly.com/question/28586957
#SPJ4
This question is not complete because is lacks the options for each question.
Complete question
mr. whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years. this data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year.
1) Which number represents the rate at which the water level fell?
a. -1.05 mm/year
b. -1.8 mm/year
c. -2.48 years
d. -2.48 mm/year
2) Which number should the rate be multiplied by to find the total variation in water level?
a. 1.05 mm/year
b. 1.8 mm/year
c. 2.48 years
d. 2.48 mm/year
Answer:
1) Which number represents the rate at which the water level fell?
a. -1.05 mm/year
2) Which number should the rate be multiplied by to find the total variation in water level?
c. 2.48 years
Step-by-step explanation:
Total Variation in the water level is calculated by multiplying the rate at which the water level and number or years at which the rate of the water level fell
From the question, we can see that the rate at which the water level fell is -1.05 mm/year and number of years at which the water level fell is 2.48mm
Hence,Total Variation in the water level is calculated as
-1.05 mm/year × 2.48 years
Total variation in the water level = -2.604mm
Answer:
find the value of x that makes the denominator zero: x = 7
Step-by-step explanation:
A vertical asymptote shows up where the denominator is zero. As the denominator gets closer to zero, the function value gets larger without bound (unless there is a numerator factor that cancels the one in the denominator).
To find the value of x at the vertical asymptote, solve the equation ...
denominator = 0
x - 7 = 0
x = 7 . . . . . . . add 7 to both sides
Answer:
g = 118°, h = 62°, k = 140°, m = 40°
Step-by-step explanation:
g = 118°
h = 180 - 118 = 62°
k = 140°
m = 180 - 140 = 40°
