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olga nikolaevna [1]

3 years ago

12

Line L1 is horizontal and passes through (1,1). Line L2 is vertical and passes through (2,2). Find the point of intersection of

L1 and L2.

1 answer:

Sedaia [141]3 years ago

4 0

(2,1)
that's going to be your answer.

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Help Help Help HELPPP MEEE PLEASEE :<

Galina-37 [17]

Answer:

5600 × 7 = 32, 000 You should multiply

3 0

3 years ago

The altitude of a triangle is increasing at a rate of 1.500 centimeters/minute while the area of the triangle is increasing at a

puteri [66]

Answer:

The base of the triangle is shrinking at a rate of $\frac{131}{32}$ centimeters per minute.

Step-by-step explanation:

The formula of the area of a triangle is given by the following expression:

$A = \frac{1}{2}\cdot b \cdot h$

Where:

$A$ - Area of the triangle, measured in square centimeters.

$b$ - Base of the triangle, measured in centimeters.

$h$ - Height of the triangle, measured in centimeters.

The base of the triangle is:

$b = \frac{2\cdot A}{h}$

If $A = 98000\,cm^{2}$ and $h = 8000\,cm$ , the base of the triangle is:

$b = \frac{2\cdot (98000\,cm^{2})}{8000\,cm}$

$b = 24.5\,cm$

The rate of change of the area of the triangle in time, measured in minutes, is obtained after differentiating by rule of chain and using deriving rules:

$\frac{dA}{dt} = \frac{1}{2}\cdot h\cdot \frac{db}{dt} + \frac{1}{2}\cdot b \cdot \frac{dh}{dt}$

$\frac{dA}{dt} = \frac{1}{2} \cdot \left(h\cdot \frac{db}{dt}+b \cdot \frac{dh}{dt} \right)$

The rate of change of the base of the triangle is now cleared:

$2\cdot \frac{dA}{dt} = h\cdot \frac{db}{dt} + b\cdot \frac{dh}{dt}$

$h\cdot \frac{db}{dt} = 2\cdot \frac{dA}{dt}-b\cdot \frac{dh}{dt}$

$\frac{db}{dt} = \frac{2\cdot \frac{dA}{dt} - b \cdot \frac{dh}{dt} }{h}$

Given that $\frac{dA}{dt} = 2000\,\frac{cm^{2}}{min}$ , $b = 24.5\,cm$ , $\frac{dh}{dt} = 1500\,\frac{cm}{min}$ and $h = 8000\,cm$ , the rate of change of the base of the triangle is:

$\frac{db}{dt} = \frac{2\cdot \left(2000\,\frac{cm^{2}}{min} \right)-(24.5\,cm)\cdot \left(1500\,\frac{cm}{min} \right)}{8000\,cm}$

$\frac{db}{dt} = -\frac{131}{32}\,\frac{cm}{min}$

The base of the triangle is shrinking at a rate of $\frac{131}{32}$ centimeters per minute.

5 0

3 years ago

What is the perimeter?

seraphim [82]

Answer:

59.

Step-by-step explanation:

I´m pretty sure the answer is 59. If I´m wrong then sorry.

4 0

4 years ago

Determine a series of transformations that would map Figure <br> F onto G

exis [7]

Answer: Rotate 90 degrees clockwise, then reflect over the y axis

Step-by-step explanation:

7 0

3 years ago

A square lawn has area 450ft^2.A sprinkler placed at the center of the lawn sprays water in a circular pattern as shown in the f

Allisa [31]

Answer:

r = 12 ft

Step-by-step explanation:

Pi x r^2 = 450 ft^2

r^2 = 450/pi

r^2 = 143

r = sqrt 143

r = 12

5 0

3 years ago