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2 years ago

Write the standard form of the equation y+4=-12/7(x-1)

Mathematics

1 answer:

padilas [110]2 years ago

8 0

Answer:

12x+7y=-16

Step-by-step explanation:

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HURRY!!!!!!!!!<br><br> Given P(5,10,8) and Q(7,11,10), find the midpoint of the segment PQ.

rusak2 [61]

Answer:

$P_{m}=(6,10.5,9)$

Step-by-step explanation:

The mid point can be found with the formula

$P_{m}=(\frac{x_{1}+x_{2} }{2},\frac{y_{1} +y_{2} }{2} ,\frac{z_{1}+z_{2} }{2} )$

The given coordinates are $P(5,10,8)$ and $Q(7,11,10)$ .

Replacing coordinates in the formula, we have

$P_{m}=(\frac{5+7}{2},\frac{10+11 }{2} ,\frac{8+10}{2} )=(\frac{12}{2},\frac{21 }{2} ,\frac{18}{2} )\\P_{m}=(6,10.5,9)$

Therefore, the mid point of the segment PQ is $P_{m}=(6,10.5,9)$

4 0

3 years ago

Solve math question of 2 x +8 < 18

Elena-2011 [213]

Answer:

x < 5

Step-by-step explanation:

2 x +8 < 18

Subtract 8 from each side

2x+8-8 < 18 -8

2x< 10

Divide by 2

2x/2 < 10/2

x < 5

8 0

3 years ago

(4ab - 8a 2 + 12ac) ÷ 4a

ioda

we are given

$\frac{(4ab-8a^2+12ac)}{4a}$

we can see that

4a is in multiple in numerator

so, we can factor it out

$\frac{4a(b-2a+3c)}{4a}$

now, we can cancel 4a

and we get

$(b-2a+3c)$ .............Answer

7 0

3 years ago

Which expression is equivalent to this one?

pantera1 [17]

The answer is A. It is Distributive Property I believe

7 0

3 years ago

New York City has a population of 8.55 million and 300 square mile. Manhattan has 1.64 million and 23 square miles. How much gre

harkovskaia [24]

Given :

New York City has a population of 8.55 million and 300 square mile area .

Manhattan has 1.64 million and 23 square miles area .

To Find :

How much greater is the population density of Manhattan than New York City.

Solution :

Population density of New York City :

$D_{NY}=\dfrac{8.55}{300}=0.029 \ million/mile^2\\\\D_{M}=\dfrac{1.64}{23}=0.071 \ million/mile^2$

Now ,

$D_{M}-D_{NY}\\\\(0.071-0.029)=0.042\ million/miles^2$

Therefore , population density of Manhattan is $0.042\ million/miles^2$ greater than New York City .

Hence , this is the required solution .

4 0

3 years ago