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2 years ago

Determine the slope of the line through the given points. If the slope is undefined, so state. (3,2) and (6,11)

Mathematics

2 answers:

agasfer [191]2 years ago

6 0

Answer:

The slope is 3

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

= (11 -2)/(6-3)

= 9/3

= 3

beks73 [17]2 years ago

5 0

Answer:

y = 3x – 7

Step-by-step explanation:

$\frac{y_{2} }{x_{2} } -\frac{y_{1} }{x_{1} }$

$\frac{11}{6} -\frac{2}{3} =$

$\frac{9}{3} =$

The y-intercept of the slope is -7 if you graph it. So from the equation: y = mx + b, we get y = 3x - 7. (m is slope, b is y-intercept)

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Determine whether each expression can be used to find the length of side AB. Match Yes or No for each

tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

This has been shown in (c) above

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Sin Z = Cos Z = Tan Z =

Daniel [21]

sin z= z/y

cos z= x/y

tan z= z/x

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2 years ago

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vlada-n [284]

Answer:

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Step-by-step explanation:

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2 years ago

Determine the slope of the line through the given points. If the slope is​ undefined, so state. ​(3​,2​) and ​(6​,11​)

Determine the slope of the line through the given points. If the slope is undefined, so state. (3,2) and (6,11)