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4 years ago

Simplify the product. 8p(-3p^2+6p-2) Please show Step-by-Step

Mathematics

1 answer:

poizon [28]4 years ago

4 0

Answer:

Step-by-step explanation:

Okay this isn't to hard for problems like this, you just have to multiply 8p to the numbers in the presentation so let's do it

8p*-3p^2= -24p^3

8*-3=-24

p*p^2=p^3

combine them both and get:

ans: -24p^3

8p*6p=48p^2

8*6=48

p*p=p^2

combine them both and get:

ans: 48p^2

8p*-2=-16p

8*2=-16

-16*p=-16p

ans:-16p

Then combine everything and get:<u>-24p^3 + 48p^2 -16p</u>

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Find the area of following rhombuses. Round your answers to the nearest tenth if necessary.

Andrews [41]

Answer:

505.4 in²

Step-by-step explanation:

½d2= 19×tan 35° = 19×0.7 = 13.3 in

d2 = 2×13.3 = 26.6 in

d1 = 2×19=38 in

the area of Rhombus =

½×38×26.6 = 505.4 in²

3 0

3 years ago

Point M is the midpoint of PQ. The coordinates of P and M are given below.

Zepler [3.9K]

The coordinates of Q are (-1,6)

Further Explanation:

Given points are:

$(x_m, y_m) = (5, -2)\\(x_p,y_p) = (11, -10)$

The formula for mid-pint is:

$(x_m, y_m) = (\frac{x_p+x_q}{2} , \frac{y_p+y_q}{2})\\From\ this\ we\ get\\x_m = \frac{x_p+x_q}{2}\\Putting\ values\\5 =\frac{11+x_q}{2}\\5*2 = 11+x_q\\10 = 11+x_q\\10-11 = x_q\\x_q = -1\\AND\\y_m = \frac{y_p+y_q}{2}\\-2 = \frac{-10+y_q}{2}\\-2*2 = -10+y_q\\-4 = -10+y_q\\-4+10 = y_q\\y_q = 6$

The coordinates of Q are (-1,6)

Keywords: Coordinate geometry, mid-point

Learn more about mid-point at:

#LearnwithBrainly

7 0

3 years ago

The scale below represents which equations or inequality?

77julia77 [94]

Answer:

Step-by-step explanation:

the scale is balanced so its equal

4 0

4 years ago

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 13 feet and

emmasim [6.3K]

Answer:

The percentage ≅ 48.4%

Step-by-step explanation:

* Lets revise how to find the volume of a container shaped cylinder

- The volume of any container = area of its base × its height

- The base of the cylinder is a circle, area circle = 2 π r,

where r is the length of its radius

* In container A:

∵ r = 13 feet , height = 13 feet

∴ Its volume = π (13)² × (13) = 2197π feet³

* In container B:

∵ r = 9 feet , height = 14 feet

∴ Its volume = π (9)² × (14) = 1134π feet³

* So to fill container B from container A, you will take from

container A a volume of 1134π feet³

- The volume of water left in container A = 2197π - 1134π = 1063π feet³

* To find the percentage of the water that is full after pumping

is complete, divide the volume of water left in container A

by the original volume of the container multiplied by 100

∴ The percentage = (1063π/2197π) × 100 = 48.3841 ≅ 48.4%

7 0

4 years ago

Find the value of k given that logk - log (k-2) = log5

victus00 [196]

k = $\frac{5}{2}$

using the ' laws of logarithms '

log x - log y = log ( $\frac{x}{y}$ )

logx = logy ↔ x = y

logk - log(k - 2) = log5

log ( $\frac{k}{(k - 2)}$ =log 5

$\frac{k}{(k - 2)}$ = 5

5(k - 2) = k

5k - 10 = k

4k = 10 ⇒ k = $\frac{10}{4}$ = $\frac{5}{2}$

3 0

4 years ago

Read 2 more answers