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2 years ago

Does the point (4, 8) satisfy the equation y = x + 6

Mathematics

2 answers:

Oksanka [162]2 years ago

7 0

It can, it just depends upon the slope

Do you know what the slope is?

777dan777 [17]2 years ago

7 0

Nope it can't satisfy the equation

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A 2 kg metal cylinder is supplied with 1600J of energy to heat it from 5°C to 13°C. What is the specific heat capacity of the me

Neporo4naja [7]

Answer:

$c = 100\,\frac{J}{kg\cdot ^{\circ}C}$

Step-by-step explanation:

According to the First Law of Thermodynamics, the heat received by the metal cylinder is equal to the change in the internal energy. That is:

$Q = \Delta U$

$Q = m \cdot c \cdot \Delta T$

The specific heat is clear in the previous expression and finally computed:

$c = \frac{Q}{m\cdot \Delta T}$

$c = \frac{1600\,J}{(2\,kg)\cdot (13^{\circ}C-5^{\circ}C)}$

$c = 100\,\frac{J}{kg\cdot ^{\circ}C}$

6 0

2 years ago

Sandra knows the Pythagorean identity sin 2 ⁡ θ + cos 2 ⁡ θ = 1 . If she is told that 0 ≤ θ ≤ π 2 and cos ⁡ θ = 5 12, what will

slavikrds [6]

Answer:

$\text{tan}(\theta)=\frac{\sqrt{119}}{5}$

Step-by-step explanation:

We have been given that Sandra knows the Pythagorean identity $\text{sin}^2(\theta)+\text{cos}^2(\theta)=1$ . She is told that $0\leq \theta\leq \frac{\pi}{2}$ and $\text{cos}(\theta)=\frac{5}{12}$ .

First of all, we will find value of sine theta using the given identity.

$\text{sin}^2(\theta)+\text{cos}^2(\theta)=1$

$\text{sin}^2(\theta)+(\frac{5}{12})^2=1$

$\text{sin}^2(\theta)+\frac{25}{144}=1$

$\text{sin}^2(\theta)+\frac{25}{144}-\frac{25}{144}=1-\frac{25}{144}$

$\text{sin}^2(\theta)=\frac{144-25}{144}$

$\text{sin}^2(\theta)=\frac{119}{144}$

$\text{sin}(\theta)=\sqrt{\frac{119}{144}}$

$\text{sin}(\theta)=\frac{\sqrt{119}}{12}$

$\text{tan}(\theta)=\frac{\text{sin}(\theta)}{\text{cos}(\theta)}$

$\text{tan}(\theta)=\frac{\frac{\sqrt{119}}{12}}{\frac{5}{12}}$

$\text{tan}(\theta)=\frac{\sqrt{119}*12}{5*12}=\frac{\sqrt{119}}{5}$

Therefore, $\text{tan}(\theta)=\frac{\sqrt{119}}{5}$ .

5 0

3 years ago

State if the given functions are inverses. f(x) = 1/x + 3 g(x) = 4/x + 2

Stolb23 [73]

Answer:

they are not inverses

Step-by-step explanation:

f(1) = 1/1 +3 = 1 +3 = 4

g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1

If the functions were inverses, we would have g(f(1)) = 1, which we do not.

The given functions are not inverses.

_____

The same would be true if your functions were

f(x) = 1/(x+3) and g(x) = 4/(x+2)

f(1) = 1/(1+3) = 1/4

g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1

6 0

3 years ago

Suppose there is a 1.4°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on

dedylja [7]

Answer I don't know

Step-by-step explanation:

and i don't know

6 0

2 years ago

Find all the real square roots of –(9/16)

beks73 [17]

We are asked t determine the real square root of -(9/16). the square root of a negative number is an imaginary number hence the answer to this problem is A. no real root. If this number is a positive number, then the answer would have been +-3/4

7 0

3 years ago

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