Find the area of this parallelogram.

Solve by factorising<br><br><img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="abs

Paladinen [302]

Step-by-step explanation:

$\underline{ \underline{ \text{Solving \: a \: quadratic \: equation \: by \: factorisation \: method}}} :$

In this method , the second order of polynomial ax² + bx + c is factorised and expressed as the product of two linear factors. Then each linear factor is separately solved to get the required solutions of the equation by applying zero factor property. In zero factor property , if p•q = 0 , then either p = 0 or q = 0 . In other words , if the product of two numbers is 0 , then one or both of the numbers must be 0.

$\underline{ \underline{ \text{Let's \: solve}}} :$

$\tt{ {x}^{2} + 16x + 55 = 0}$

Here , we have to find the two numbers that multiplies to 55 and adds to 16.

⤑ $\tt{ {x}^{2} + (11 + 5)x + 55 = 0}$

⤑ $\tt{ {x}^{2} + 11x + 5x + 55 = 0}$

⤑ $\tt{x(x + 11) + 5(x + 11) = 0}$

⤑ $\tt{(x + 5)(x + 11) = 0}$

Either :

$\tt{x + 5 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: Or : \: \: x + 11 = 0}$

$\sf{⟶ x = 0 - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⟶ x = 0 - 11$

$\tt{⟶x = - 5 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⟶ x = - 11$

$\red{ \boxed{ \boxed{ { \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{x = - 5 \: , - 11}}}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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6 0

2 years ago

Solving linear inequalities

kolezko [41]

What exactly do you need help with with this topic<span />

8 0

2 years ago

What is the 10th term in the pattern with the formula 9n + 9?

Studentka2010 [4]

A(10) = <span>9(10) + 9= 90+9 =99

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6 0

2 years ago

Read 2 more answers

A histogram is better for _____________ data and a frequency polygon is better for ________data.

Ne4ueva [31]

A histogram is better for "discrete" data and a frequency polygon is better for "continuous" data.

<h3>What is histogram?</h3>

A histogram is a data representation that looks like a bar graph and buckets a wide range of categories into columns all along horizontal x-axis.

The numeric count or percentage of happenings in the data for every column is represented by the vertical y-axis.
Columns can be employed to visualize data distribution patterns.
Technical analysts use the MACD histogram in trading to making data in momentum.
The MACD histogram columns could provide buy and sell signals earlier than the MACD and signal lines.

<h3>What is frequency polygon?</h3>

Frequency polygons are a graphs depiction of the distribution that aids in data comprehension by utilizing a specific shape.

Frequency polygons are comparable to histograms but are more beneficial when comparing two or more different data sets.
The graph primarily displays cumulative frequency distribution data as a line graph.
Frequency Polygons are a type of graph that deciphers information or data and are broadly used in statistics.
This graphic form of data representation aids in the depiction of the data's shape and trend in a systematic and organized manner.

To know more about the histogram, here

brainly.com/question/2962546

#SPJ4

5 0

1 year ago

What is the value of x?<br><br><br><br> Enter your answer in the box.

Grace [21]

The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Therefore,
$\frac{42}{(15 + 42)} = \frac{x}{10 + x}$

Simplify:
$\frac{42}{57} = \frac{x}{10 + x}$
Cross multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 57x - 42x
420 = 15x
x = (420÷15)
x = 28

3 0

3 years ago