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2 years ago

Find the slope between the points. �. (5, −3) (7, 4)

Mathematics

2 answers:

aliya0001 [1]2 years ago

8 0

Answer:

$\boxed {\boxed {\sf m= \frac{7}{2} \ or \ 3.5 }}$

Step-by-step explanation:

The slope formula is the change in y over the change in x.

$m=\frac{y_2-y_1}{x_2-x_1}$

In this formula, (x₁, y₁) and (x₂, y₂) are the points given. We are given the points (5, -3) and (7,4). Therefore,

$x_1=5 \\y_1= -3\\x_2=7 \\y_2=4$

Substitute the values into the formula.

$m=\frac{4--3}{7-5}$

Solve the numerator.

4 - -3 = 4+3 = 7

$m=\frac{7}{7-5}$

Solve the denominator

7-5=2

$m=\frac{7}{2}$

$m=3.5$

The slope between the points is 7/2 or 3.5

Gelneren [198K]2 years ago

6 0

Answer: slope is $\frac{7}{2}$ or 3.5

Step-by-step explanation:

Slope = $\frac{y_2-y_1}{x_2-x_1}$ = $\frac{4-(-3)}{7-5}$ = $\frac{7}{2}$

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Anni [7]

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Step-by-step explanation:

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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

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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

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

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kari74 [83]

<em><u>Answer:</u></em>

<u><em>Reason:</em></u>

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Hope this helps! ;)

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Ierofanga [76]

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