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3 years ago

6

IB/AP Mathematice: Logorithms

1 answer:

Anuta_ua [19.1K]3 years ago

8 0

1. 5^2 = 25
2. 2^6 = 64
3. 25^(1/2) =5

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A dog trainer is trying to find a triangular area behind his house that encloses 1800 square feet for his dog to run. He has the

aliina [53]

Answer:

$C = (30,500)$

Step-by-step explanation:

Given

$Area = 1800ft^2$

$A = (6,0)$

$B = (0,25)$

$C(x,y) = (30,y)$

Required

Determine the coordinates of C

The area of triangle is calculated as thus:

$Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}$

This gives:

$1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}$

$1800= \frac{|6(25 - y) + 30(0- 25)|}{2}$

$1800= \frac{|6(25 - y) + 30(-25)|}{2}$

$1800= \frac{|150 - 6y -750 |}{2}$

$1800= \frac{|150 -750- 6y |}{2}$

$1800= \frac{|-600- 6y |}{2}$

Multiply through by 2

$2 * 1800= |-600- 6y|$

$3600= |-600- 6y|$

$3600= |-(600+ 6y)|$

$3600= 600+ 6y$

Solve for 6y

$6y = 3600 - 600$

$6y = 3000$

Solve for y

$y = 3000/6$

$y = 500$

Hence:

The point is:

$C = (30,500)$

7 0

3 years ago

PLEASE HELP!!! (picture included!)

Igoryamba

Answer:

D

Step-by-step explanation:

To find the equation of the line, substitute the point (-5,1) and the slope 3/2 into the point slope form $y - y_1 =m(x-x_1)$ .

The equation is $y - 1 = \frac{3}{2}(x --5)\\y - 1 = \frac{3}{2}(x+5)$

8 0

3 years ago

Elena L [17]

Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:

$\displaystyle \lim_{x\to1} \frac{f(x)-f(1)}{x-1} = \lim_{x\to1} \frac{6x^2-x^3-5}{x-1} = \lim_{x\to1}(-x^2+5x+5) = 9$

Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is

y - 5 = 9 (x - 1)

y = 9x - 4

3 0

3 years ago

M = 22 and p = 24<br> (p+ m) : 4

Blababa [14]

Answer:

p+m=46

46:4=11.5

Step-by-step explanation:

good luck

4 0

3 years ago

Write a real-world problem that can be represent 3x + 6 > 27

Anestetic [448]

3 customers times the amount of cups plus 6 dollars in change is less than 24.

3 0

3 years ago