1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ipatiy [6.2K]
2 years ago
15

The position of an open water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to

the shoreline Write an equation that represents this path
Please help!

Mathematics
1 answer:
Solnce55 [7]2 years ago
6 0

Answer:

y = 1/2x + 4 1/2

Step-by-step explanation:

You might be interested in
Line A passes through the points (10,6) qnd (2,15). Line B passes through the points (5,9) and (14,-1).
e-lub [12.9K]

Answer:

Line A equation = y=-9/8x+69/4

Line B equation = y=-10/9x+131/9

Step-by-step explanation:

7 0
2 years ago
Joe tracked the height of his Dalmatian puppy from age 13 weeks to 25 weeks. He graphed the data and determined the line of best
nadya68 [22]

Answer:

22.5 weeks

Step-by-step explanation:

y = 1.12x + 28.78 represents the height of the puppy.  Here that height is 54 cm:

Then 54 = y = 1.12x + 28.78

Combining the constants, we get 1.12x = 25.22.  Dividing both sides by 1.12, x turns out to be 22.5 weeks.

3 0
2 years ago
I need help with this problem:(​
steposvetlana [31]

Answer:

8

Step-by-step explanation:

According to Euclidean theorem

m^2 = 4×16

m^2 = 64

m = 8

3 0
3 years ago
What is the equation of f(1)=65,536
arsen [322]
I assume it would be y=65,536x
0=65,536(0)
65,536=65,536(1)
7 0
3 years ago
The point P(7, −2) lies on the curve y = 2/(6 − x). (a) If Q is the point (x, 2/(6 − x)), use your calculator to find the slope
NARA [144]

Answer:

a) (i) m = 2.22, (ii) m = 2, (iii) m = 2, (iv) m = 2, (v) m = 1.82, (vi) m = 2, (vii) m = 2, (viii) m = 2; b) m \approx 2; c) The equation of the tangent line to curve at P (7, -2) is y = 2\cdot x + 12.

Step-by-step explanation:

a) The slope of the secant line PQ is represented by the following definition of slope:

m = \frac{\Delta y}{\Delta x} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}

(i) x_{Q} = 6.9:

y_{Q} =\frac{2}{6-6.9}

y_{Q} = -2.222

m = \frac{-2.222 + 2}{6.9-7}

m = 2.22

(ii) x_{Q} = 6.99

y_{Q} =\frac{2}{6-6.99}

y_{Q} = -2.020

m = \frac{-2.020 + 2}{6.99-7}

m = 2

(iii) x_{Q} = 6.999

y_{Q} =\frac{2}{6-6.999}

y_{Q} = -2.002

m = \frac{-2.002 + 2}{6.999-7}

m = 2

(iv) x_{Q} = 6.9999

y_{Q} =\frac{2}{6-6.9999}

y_{Q} = -2.0002

m = \frac{-2.0002 + 2}{6.9999-7}

m = 2

(v) x_{Q} = 7.1

y_{Q} =\frac{2}{6-7.1}

y_{Q} = -1.818

m = \frac{-1.818 + 2}{7.1-7}

m = 1.82

(vi) x_{Q} = 7.01

y_{Q} =\frac{2}{6-7.01}

y_{Q} = -1.980

m = \frac{-1.980 + 2}{7.01-7}

m = 2

(vii) x_{Q} = 7.001

y_{Q} =\frac{2}{6-7.001}

y_{Q} = -1.998

m = \frac{-1.998 + 2}{7.001-7}

m = 2

(viii)  x_{Q} = 7.0001

y_{Q} =\frac{2}{6-7.0001}

y_{Q} = -1.9998

m = \frac{-1.9998 + 2}{7.0001-7}

m = 2

b) The slope at P (7,-2) can be estimated by using the following average:

m \approx \frac{f(6.9999)+f(7.0001)}{2}

m \approx \frac{2+2}{2}

m \approx 2

The slope of the tangent line to the curve at P(7, -2) is 2.

c) The equation of the tangent line is a first-order polynomial with the following characteristics:

y = m\cdot x + b

Where:

x - Independent variable.

y - Depedent variable.

m - Slope.

b - x-Intercept.

The slope was found in point (b) (m = 2). Besides, the point of tangency (7,-2) is known and value of x-Intercept can be obtained after clearing the respective variable:

-2 = 2 \cdot 7 + b

b = -2 + 14

b = 12

The equation of the tangent line to curve at P (7, -2) is y = 2\cdot x + 12.

7 0
2 years ago
Other questions:
  • What is the monthly payment rate for a $20,000 loan for 4 years with an annual interest rate of 4.8%
    12·1 answer
  • At a school fair you have a choice of randomly picking a ball from Basket A or Basket B. Basket A has 5 green balls, 3 red balls
    8·2 answers
  • Write the multiplier or divisor for each pair of equivalent fractions 1/4 = 7/28
    7·1 answer
  • (05.02)One triangle on a graph has a vertical side of 5 and a horizontal side of 11. Another triangle on a graph has a vertical
    11·2 answers
  • What’s greater thousandths or hundreds?
    9·2 answers
  • Direction if parabola. x2?6x+8=yx2-6x+8=y
    9·1 answer
  • Which student used the correct steps to construct rhombus PQRS?
    9·1 answer
  • (−7,−6)y(9,10)(-7,-6)y(9,10)
    12·1 answer
  • At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of s
    6·1 answer
  • Can anyone help me solve this function please?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!