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Archy [21]
3 years ago
12

Simplify ¾(8w+28)-10+w please :)

Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0

Answer:

7w+11

Step-by-step explanation:

GEMDAS

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Tell whether the lines through the given points are parallel, perpendicular, or neither. Line 1: (−3, 1), (−7,−2) Line 2: (2,−1)
borishaifa [10]

Answer:

Neither

Step-by-step explanation:

First we need to find the slope of the line between line 1.

 

We use the formula:

 

y2 - y1 / x2 - x1

 

-2 - 1 / -7 - (-3)  ---> this gives us -3 / -4 or simply 3/4. So our slope for line 1 is 3/4.

 

Now using the formula, (y - y1) = m (x - x1) we find the line.

 

(y - 1) = 3/4 (x - (-3)) ---> (y - 1) = 3/4x + 9/4.

 

Now we add one to each side to get y = 3/4x + 13/4.

 

Now for line 2, we use the same process and formulas.

 

Find the slope of line 2.

 

4 - (-1) / 8 - 2 gives us 5/6. Our slope for line 2 is 5/6.

 

(y - (-1)) = 5/6 (x - 2).

 

(y + 1) = 5/6x - 5/3 ---> now subtract one from both sides to get...

 

y = 5/6x - 8/3.

 

Since the two lines do not have the same slope or the negative reciprocal of one slope being the other, the two lines through the given points are neither parallel nor are they perpendicular.

 

NEITHER  

 

8 0
3 years ago
Read 2 more answers
1. Write true or False: Every Whole number is a Multiple of one, Explain
maw [93]
True and false.  Most numbers are not factors of one.  Please mark Brainliest!!!
4 0
2 years ago
Read 2 more answers
Find the probability of drawing an 8 and then a queen (with replacement) from a standard deck of cards
murzikaleks [220]

Prob (8) = 4/52 = 1/13

Prob(Queen) = 4/52 = 1/13

Prob ( 8 then a queen) = 1/13 * 1/13 = 1/169 answer

The probabilities are multiplied beause the 2 events are independent

4 0
3 years ago
Read 2 more answers
The figure shows a vertical section through the
just olya [345]

Answer:

i. 33.51 cm³

ii. 14.14 cm³

iii. 231.61 g

Step-by-step explanation:

(i) the total volume of the paper weight,

Since the paper weight is in the form of a cone, its volume is the volume of a cone V = πD²h/12 where D = diameter of cone = 4 cm and h = height of cone = 8 cm

So, V = πD²h/12

V = π(4 cm)² × 8 cm/12

V = 16π cm² × 8 cm/12

V = 128π cm³/12

V = 402.124 cm³/12

V = 33.51 cm³

(ii) the volume of the wooden portion,

The volume of the wooden portion, V' = πr'²h'/3 where r' = radius of wooden portion and h' = height of wooden portion

From similar triangles in the figure, we have

height of wooden portion, h'/radius of wooden portion, r' = height of paper weight, h/radius of paper weight, r

h'/r' = h/r where r = D/2 where D =diameter of paper weight = 4 cm. So, r = 4 cm/2 = 2 cm

and h' = height of paper weight - height of lead portion = 8 cm - 2 cm = 6 cm

So,

r' = rh'/h = 2 cm × 6 cm/8 cm = 12 cm²/8 cm = 1.5 cm

So, V' = πr'²h'/3

V' = π(1.5 cm)² × 6 cm/3

V' = π2.25 cm² × 2 cm

V' = 4.5π cm³

V' = 14.14 cm³

(iii) the total mass of the paper weight.

The total mass of paper weight, m = mass of wooden portion + mass of lead portion = ρ'V' + ρ"V" where ρ' = density of wood = 0.9 g/cm³, V' = volume of wooden portion = , ρ" = density of lead = 11.3 g/cm³ and V" = volume of lead portion = V - V' = 33.51 cm³ - 14.14 cm³ = 19.37 cm³

So, m = 0.9 g/cm³ × 14.14 cm³ + 11.3 g/cm³ × 19.37 cm³

m = 12.726 g + 218.881 g

m = 231.607

m ≅ 231.61 g

8 0
3 years ago
one winter day the temperature ranged from a high of 20 f to a low of -25 f. by how many degrees did the temperature change?
Mamont248 [21]

Answer:

45 degrees

Step-by-step explanation:

you would do 20-(-25) then that turns to 20+25 and you get 45

6 0
3 years ago
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