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4 years ago

Write 2 different equations with a sum of 9/5.

Mathematics

1 answer:

Julli [10]4 years ago

8 0

Two possible equations are:

$\dfrac{5}{5} + \dfrac{4}{5} = \dfrac{9}{5}$

$\dfrac{2}{5} + \dfrac{7}{5} = \dfrac{9}{5}$

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<img src="https://tex.z-dn.net/?f=12%20%5Ctimes%202.6" id="TexFormula1" title="12 \times 2.6" alt="12 \times 2.6" align="absmidd

lianna [129]

This is the answer to it

8 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

Determine the vertex of the function f(x) = 3x2 – 6x + 13.

Over [174]

1. a = 3, b = -6, of the standard form.

Rewrite the equation to the vertex form will solve both 2 and 3:

3x^2 - 6x + 13 = 3(x^2 - 2x) + 13 = 3(x^2 - 2x + 1) + 13 + 3 = 3(x - 1)^2 + 16.
where the vertex (h,k) is (1, 16).

4 0

4 years ago

A school bus can hold no more than 40 people. If there are 6 teachers on the bus, write and solve an inequality that shows how m

Lelechka [254]

Answer: 34 kids in all

Step-by-step explanation:

: 40 - 6 = 34

0 6 34

|------------|----------------------------|

7 0

3 years ago

Read 2 more answers

20 points to the person who answers correctly. Also, brainliest.

AlekseyPX

B-35 degrees because the mound is having an 18 cm radius<span />

5 0

3 years ago