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4 years ago

Fill in the missing justifications in the correct order.

Mathematics

1 answer:

Vinil7 [7]4 years ago

7 0

Answer:

A ) Distributive property, subtraction property of equality, subtraction property of equality, division property of equality.

Step-by-step explanation:

The given equation:

4 ( x + 5 ) = 2 x + 2

4 x + 20 = 2 x + 2 ( Distributive property ),

because: 4 · x + 4 · 5 = 4 x + 20

Then follows : 4 x - 2 x + 20 = 2 x - 2 x + 2 ( Subtraction property of equality )

2 x + 20 = 2

After that:

2 x + 20 - 20 = 2 - 20 ( Subtraction property of equality )

2 x = - 18

Finally:

x = - 18 : 2 ( Division property of equality )

x = - 9

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Need help with this math problem

Shkiper50 [21]

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Step-by-step explanation:

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Taking a bottom-left corner of the graph as (0,0)

Given Line AB,

Point A is located as (4,9)

Point B is located as (16,1)

The slope of AB is

$=\frac{Y1-Y2}{X1-X2}$

$=\frac{9-1}{4-16}$

$=\frac{8}{-12}$

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

The question says " Draw a line passes through C(13,12) and parallel to Line AB "

Now, Let the equation of the target line is y=mx + c

Where m=slope and c is the y-intercept

The target line is parallel to the line AB

The slope of the Target line = The slope of the Line AB $=\frac{-2}{3}$

m= $=\frac{-2}{3}$

We can write, the equation of the target line is

$y=\frac{-2}{3}x + c$

Also, the Target line is passing through C(13,12)

Point C satisfies the equation

$y=\frac{-2}{3}x + c$

$12=\frac{-2}{3}13 + c$

$12=\frac{-26}{3} + c$

$12+\frac{26}{3}=c$

$c= 12+\frac{26}{3}$

$c= \frac{62}{3}$

Replacing the value

the equation of the target line is

$y=\frac{-2}{3}x + c$

$y=\frac{-2}{3}x + \frac{62}{3}$

$3y= -2x + 62$

It is also asked that if a line is extended , would it passes through the (18,-8)?

If a line passes through the point (18-,8) then, that point must satisfy the equation of a line

the equation of the target line is $3y= -2x + 62$

$3(-8)= -2(18) + 62$

$(-24)= (-36) + 62$

$(-24)= 26$

Left land side is not equal to right hand side.

Therefore. a line does not pass through the point (18,-8)

5 0

3 years ago

Please help

Fittoniya [83]

Just a little tip f(x) means y. Even if it says a(x) it still means y. Hope this made it a slight bit easier sorry I couldn't help more than this.

3 0

3 years ago

A patio has an area of 20 5/6 ft, and the width of 3 1/2 ft. What is the length of the patio?

KATRIN_1 [288]

The length of the patio would be approximately 5.95

3 0

3 years ago

Find 250% of 60 please help thanks

____ [38]

Answer:

the answer is 150!

Step-by-step explanation:

250% of 60=150

4 0

3 years ago

How many tablets should a 39 kg patient take every four hours?

PolarNik [594]

50 mg/kg/day x 34 kg = 1700 mg/day
1700 mg/day x 1 day/24 hrs x 4 hrs = 283 mg every 4 hrs

283 mg/4hrs x 1 tablet/400 mg = 0.7 tablets

So to acieve the desired dose, the pati should take seven tenths of a tablet every 4 hours. Thats an unusual dosage since it’s difficult to take 0.7 tablet. The question didnt ask about the liquid suspension so I didn’t include that.

4 0

3 years ago