21z^2+85z-26=0
Please solve using factoring

Answers

Answer 1

Answer: trial and error
either
(z )(21z )
(3z )(7z )
and ending with
( -1)( 26)
( -26)( 1)
( -2)( 13)
( 2)( -13)
trial enderor

after some times
(3x+13)(7x-2)=0

set to zero
3x+13=0
3x=-13
x=-13/3

7x-2=0
7x=2
x=2/7

x=-13/3 or 2/7
it would be easier to use quadratic formula though

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How are expressions and equations different

Answers

An "equation" has a left side, a right side and an equals sign separating the sides. An "expression," by contrast, doesn't have any "sides" and is simply what the name suggests: An algebraic "expression."

Expressions have no equal sign, while equations have equal signs.

A map has a scale of 1 cm: 50 m.The distance between 2 shops is 4.5 cm.
What is the actual distance between the shops?

Answers

Final answer:

The actual distance between the two shops is 225 meters.

Explanation:

Understanding map scales is crucial for accurate distance measurement between locations depicted on maps. A scale of 1 cm:50 m signifies that each centimeter on the map corresponds to a real-world distance of 50 meters. This ratio is the key to translating map measurements into actual distances.

In the given scenario, the distance between two shops on the map is shown as 4.5 centimeters. To determine the actual distance, we use the scale factor. By multiplying the map distance by the scale factor of 50 m/cm, we obtain the real distance:

Actual distance = Map distance × Scale factor

Actual distance = 4.5 cm × 50 m/cm

Actual distance = 225 meters

Therefore, the actual distance between the two shops is 225 meters.

Map scales play a pivotal role in representing geographical features accurately. They allow cartographers to compress vast areas onto manageable sheets while retaining relative distances. The choice of scale depends on the map's purpose: a large-scale map provides intricate details of a small area, while a small-scale map gives an overview of a larger region.

In modern times, technology has redefined mapping through digital maps and GPS navigation. These tools can dynamically adjust scales based on the user's location, ensuring real-time accuracy. They have revolutionized how we interact with maps, making navigation more convenient and precise.

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Answer:

225 m

Step-by-step explanation:

50 x 4.5

Use the formula an = d (n − 1) + aj to write a formula for the arithmetic sequence below.2, 6, 10, 14, 18,

Answers

Answer:

$a_(n)$ = 4n - 2

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

6 - 2 = 10 - 6 = 14 - 10 = 18 - 14 = 4

This indicates the sequence is arithmetic with n th term

$a_(n)$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 4 , thus

$a_(n)$ = 2 + 4(n - 1) = 2 + 4n - 4 = 4n - 2

Simplify 2m - [n - (m - 2n)].
-3m - n
3m - n
-3m - 3n
3m - 3n

Answers

you get 2m+m-3n which simplifies to 3m-3n

What is this percent of change 40;72

Answers

Given:
Original or base : 40
New amount : 72

We need to find the difference of the new amount and the original amount

72 - 40 = 32

We then divide the difference by the original amount

32/40 = 0.80

We multiply the quotient by 100%

0.80 x 100% = 80%

The percentage of change is 80%

What is the multiplicative inverse of -0.4