All categories

3 years ago

Write the point-slope equation of the line that contains the point (1, -4) and has slope - 1/3.

Mathematics

1 answer:

MAXImum [283]3 years ago

5 0

Answer:

work shown and pictured

You might be interested in

Simplify 6^7/6^5 in index form

Oksanka [162]

Answer:

6²

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ ⇔ $a^{(m-n)}$ , then

$\frac{6^{7} }{6^{5} }$

= $6^{(7-5)}$

= 6²

6 0

3 years ago

Read 2 more answers

H(x) = -2x+5<br> g(x) = 2x² + x<br> Find (h+g)(1)

Westkost [7]

Are you evaluating functions for this? If so, here you go:

Given the functions to simplify (h + g)(1), the answer you seek would be 6 I believe.

Hope this helps!

4 0

2 years ago

What kind of problem is this?

strojnjashka [21]

4x - 7 < 17
+ 7 + 7
4x < 24
4 4
x < 6

Solution Set: (6, ∞) and {x|x < 6}

8 0

3 years ago

Can anyone check this if it’s right.

Romashka [77]

Yes this is the right answer

6 0

3 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9

Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

$y=A\sin[\omega(x-\alpha)]+C$

where, A = amplitude; $\omega=\dfrac{2\pi}{period}$ , α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= $C=\dfrac{73+97}{2}=85$ [midline is average of upper and lower limit.]

A= 97-85 = 12

Phase shift: $\alpha=10$

Period = 24 hours;

$\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}$

Substitute all values in sinusoidal function, we get

$y=12\sin[\dfrac{\pi}{12}(x-10)]+85$

Put y= 82, we get

$82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03$

Hence, After about 9.03 hours the temperature first reach 82 degrees.

3 0

3 years ago

Write the point-slope equation of the line that contains the point (1, -4) and has slope - 1/3.​

Write the point-slope equation of the line that contains the point (1, -4) and has slope - 1/3.