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WITCHER [35]
3 years ago
8

What is the point-slope form of the line with slope 2/5 that passes through the point (-4, -7) ?

Mathematics
2 answers:
likoan [24]3 years ago
7 0

Answer:

• General equation of a line:

{ \tt{y = mx + b}} \\

  • m is the slope, m = 2/5
  • b is y-intercept

{ \tt{ - 7 = ( \frac{2}{5} \times  - 4) + b }} \\  \\ { \tt{ - 7 =  -  \frac{8}{5}  + b}} \\  \\ { \tt{b =  -  \frac{27}{5} }}

• Therefore, equation of line is:

{ \tt{y =  \frac{2}{5}x -  \frac{27}{5}  }} \\

Kruka [31]3 years ago
3 0

Answer:

<em>y + 7 = </em>\frac{2}{5}<em> ( x + 4 ) </em>

Step-by-step explanation:

( x_{1} , y_{1} )

y - y_{1} = \frac{2}{5} ( x - x_{1} )

~~~~~~~~~~~~~~

( - 4 , - 7 )

y - ( - 7 ) = \frac{2}{5} ( x - ( - 4 ))

<em>y + 7 = </em>\frac{2}{5}<em> ( x + 4 )</em>

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The heights of men in the United States are approximately normally distributed with mean 69.1 inches and standard deviation 2.9
Gre4nikov [31]

Answer:

Step-by-step explanation:

Let M be the heights of men in the United States and W be the heights of women in the United States

Given that M is N(69.1, 2.9) and W (63.7, 2.7)

For a husband and wife we have average height as

\frac{x+y}{2}=Z (say)

Mean =E(z) = \frac{1}{2} [E(M)+E(W)] = 66.4 inches

Var (Z) =Var (\frac{x+y}{2} )=\frac{1}{4}[Var(x)+ Var(y)+2 cov (x,y)]\\

=0.25[2.9^2+2.7^2+2*r*sx*sy]\\= 0.25(20.398)\\=5.0995

Mean = 66.4" and std dev = 2.258

7 0
3 years ago
Hello I need help with this assignment and with the topic which is on Transformations if you could please help me
Norma-Jean [14]
Is this an assignment I can not see what the question is or what you need help with
7 0
3 years ago
Solve for g. Make sure to use scrap paper to show your work.
olasank [31]

Answer:

64

Step-by-step explanation:

P E D M A S

() ² ÷ × + -

6 x 8 = 48

114 + 48 = 192

(192) ÷ 3 = g

192 / 3 = 64

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7 0
2 years ago
your expenses total $5.600 per month. you charge$25 per hour and have contracts for steady work that total 45 hours per week for
bulgar [2K]

Answer

58,432 money you have leftover or $8,700 still left to pay.

Step-by-step explanation:

After knowing the contracts for steady work is 45 hours per week I just divided it by the days she works a week, which is most likely 5 and got 9 hours a day, then did $25 * 9 to get the payment per day which is $225 then multiplied it by 5 for the days working in a week, then multiply it again by 52 to get $58,500 as your payment and if your expenses is $5.6 per month (5.6*12=67.2) then your payment cover all of it and you still have $58,432.8 remaining, but if the expenses are $5,600 a month (5,600*12=67,200) then you cover most of it but still have to pay $8,700

4 0
3 years ago
A pair of adjacent angles are SUR and _____. They are adjacent because they ______.
sveticcg [70]

Answer/Step-by-step explanation:

Adjacent angles share a common side and also have the same vertex.

One of the angles that are adjacent to <SUR is <NUR.

Therefore:

A pair of adjacent angles area <SUR and <NUR.

They are adjacent because they have the same vertex and share the same side.

8 0
3 years ago
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