All categories

3 years ago

Distributive Property (a+8)(a-3)=

Mathematics

1 answer:

polet [3.4K]3 years ago

3 0

Distribute.

(a + 8)(a -3)

FOIL:

First, Outside, Inside, and Last

a * a = a^2

a * 3 = 3a

8 * a = 8a

8 * -3 = - 24

a^2 + 11a - 24

Distributed Expression: a^2 + 11a - 24

You might be interested in

Please help me find the missing side lengths

Anna71 [15]

Answer:

1. a=22.18394

2. 13.31803

Step-by-step explanation:

6 0

3 years ago

A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce,

Citrus2011 [14]

${\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}$

(i)

$\sf{a_n = 20 \times {( \frac{2}{3} )}^{n - 1} }$

(ii)

$\sf S_n = 60 \{1 - { \frac{2}{3}}^{n} \}$

Step-by-step explanation:

$\underline\red{\textsf{Given :-}}$

height of ball (a) = 10m

fraction of height decreases by each bounce (r) = 2/3

$\underline\pink{\textsf{Solution :-}}$

(i) We will use here geometric progression formula to find height an times

${\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times { \frac{2}{3} }^{n - 1} }$

(ii) here we will use the sum formula of geometric progression for finding the total nth impact

$\orange {\sf{S_n = a \times \frac{(1 - {r}^{n} )}{1 - r} }} \\ \sf S_n = 20 \times \frac{1 - ( { \frac{2}{3} })^{n} }{1 - \frac{2}{3} } \\ \sf S_n = 20 \times \frac{1 - {( \frac{2}{3}) }^{n} }{ \frac{1}{3} } \\ \sf S_n = 3 \times 20 \times \{1 - ( { \frac{2}{3}) }^{n} \} \\ \purple{\sf S_n = 60 \{1 - { \frac{2}{3} }^{n} \}}$

4 0

1 year ago

Lisa has a rectangular drawing that is 43.5 centimeters by 934 millimeters. How many centimeters of wood framing will she need?

KIM [24]

Lisa's drawing has the following dimensions:
Width=43.5 cm
Length=934 mm

but 1 cm =10 mm
thus
934mm when converted into cm we shall have:
length=93.4 cm

To get the total length of material required to frame the picture, we calculate the perimeter.
P=2(L+W)
P=2(93.4+43.5) cm
P=2(136.9)
P=273.8 cm

The total length of material required will be 273.8 cm

8 0

2 years ago

URGENT please help me solve this!

Andrew [12]

Idkidkidkidkidkidkidkidkidkidkidk

5 0

2 years ago

Michelle is building a rectangular landing strip for airplanes .She has material to cover 1/1,500 of a square mile. The landing

ANEK [815]

I think that the missing word here is:
"with the amount of the material that Michelle has"

Let's say that her landing strip is x miles long, then its area would be:

$\frac{1}{6} *x$

We also know how big it is:

$\frac{1}{6} *x= \frac{1}{1 500}$

now, let's multiply both sides by 6:
$\frac{6}{6} *x= \frac{6}{1 500}$
$1 *x= \frac{3}{750}$
$x= \frac{1}{250}$

So the answer is that it would be $x= \frac{1}{250}$ miles wide

3 0

3 years ago