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3 years ago

5

Find the equation of a line passing through (-3,-1) and (6,-7)

1 answer:

Alexandra [31]3 years ago

3 0

Answer:

Step-by-step explanation:

y = mx + b

m = Δy/Δx = (-1 - (-7)) / (-3 - 6) = 6/-9 = -2/3

y = (-2/3)x + b

-1 = (-2/3)(-3) + b

-1 = 2 + b

b = -3

y = (-2/3)x - 3

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Jake tutors students. He charges $10 for the first session and $5 for each additional session. Let x

SIZIF [17.4K]

Answer: y = 5x + 10

Step-by-step explanation:

y= 5x + 10

THINK ABOUT IT! if 5 is for EACH additional session and x is equal to the NUMBER OF SESSIONS...... then 5 times x will give you the cost for each additional session, but NOT INCLUDING THE 10 FOR THE FIRST SESSION. so simply just do 5x + 10 and y is the total cost so

y = 5x + 10

8 0

2 years ago

Read 2 more answers

Evaluate each trigonometric equation for θ.

liberstina [14]

Answer:

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

Step-by-step explanation:

Let us revise the trigonometry functions

Sin(x) = opposite/hypotenuse

Cos(x) = adjacent/hypoteouse

Tan(x) = opposite/adjacent

Csc(x) = hypotenuse/opposit

Sec(x) = hypotenues/adjacent

Cot(x) = adjacent/opposite

In the given figure

The opposite side to angle Ф = 8

The adjacent side to angle Ф = 15

Find the hypotenuse using Pythagoras' theorem

$Hypotenuse = \sqrt{8^{2}+15^{2} }$

$Hypotenuse = \sqrt{64+225}$

$Hypotenuse = \sqrt{289}$

$Hypotenuse = 17$

Let us use the rules above to find the trigonometry functions

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

4 0

3 years ago

Summer school issues help meeded asap

vovikov84 [41]

Answer:

2.B

Step-by-step explanation:

2.

Henry's container holds milk=200*7/8=175 ml

7 0

3 years ago

Work out the angle of elevation from the

insens350 [35]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:Angle \:\: of \:\: elevation= 30°$

____________________________________

$\large \tt Solution \: :$

Let the angle of elevation be " x "

$\qquad \tt \rightarrow \: \cos(x) = \dfrac{9 \sqrt{3} }{18}$

$\qquad \tt \rightarrow \: \cos(x) = \dfrac{ \sqrt{3} }{2}$

$\qquad \tt \rightarrow \: x = \cos {}^{ - 1} \bigg( \cfrac{ \sqrt{3} }{2} \bigg )$

$\qquad \tt \rightarrow \: x = 30 \degree \: \: or \: \: \cfrac{ \pi}{6} \: \: rad$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

8 0

2 years ago

Read 2 more answers

At a certain college the ratio of men to women is 6 to 5. If there are 3520 total students how many men are there.

notsponge [240]

Answer:

1920 men are there in college.

Step-by-step explanation:

Given the statement: At a certain college, the ratio of men to women is 6 to 5. If there are 3520 total students.

Ratio states that it is just a comparison between, or a relating of, two different things.

i.e a to b or a: b

Ratio of men to women:

Men : Women = 6: 5

Let x be the number.

Total number of Men in college = 6x and Total number of women = 5x

Since, total number of students = 3520

⇒ $6x + 5x = 3520$

Combine like terms;

11x = 3520

Divide by 11 on both sides we get;

x = 320

Therefore, total number of men in college = 6x = 6(320) = 1920

4 0

3 years ago