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3 years ago

(x+2)(x+4) = x²+6x+8 show the steps

Mathematics

2 answers:

NISA [10]3 years ago

8 0

Answer:

(x+2)(x+4)=x^2+6x+8

Step-by-step explanation:

first you foil (x+2)(x+4) and you get x^2, 2x+4x+8

then combine like terms and you get x^2+6x+8

labwork [276]3 years ago

7 0

Answer:

(x+2)(x+4) = x*x + x*4 + 2*x + 2*4

= x² + 4x + 2x + 8

= x² + 6x + 8

You might be interested in

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

4 years ago

Use the Distributive Property on the equation below. 3(4y + 3) = [ ? ]y +[ ]

olga2289 [7]

Answer:

12y+9

Step-by-step explanation:

4 0

3 years ago

Explain how he would find parts A, B, and C of the model. solve 273 ÷ 13

OverLord2011 [107]

Answer: 273 divided by 13 = (260 + 13) divided by 13 = 260 divided by 13 + 13 divided by 13 = 20 + 1 = 21

A= 2

B= 13

C= 1

hope this helps let me know if it's wrong

5 0

3 years ago

Please help me how to solve and what it asks me to do

Anna007 [38]

Higher Order Thinking problems require you to think about the facts that are given to you in any problem and do something with those facts. This involves understanding them, infer from them, connect them to other facts and concepts, categorize them, manipulate them, put them together and apply them to find new solutions.

For example the first problem which asks to evaluate the expression 0.1(3.7). This can also mean that 1/10*3.7 = 0.37.

I hope it helps, Regards.

6 0

4 years ago

Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression

Wewaii [24]

The Z-score is 2.306 to three decimal places. However, the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis $\mathbf{H_o}$

<h3>What is the Z-score of a test statistic?</h3>

A z-score is a measurement of how often standard deviations the score obtained from a z-test is beyond or under the mean population.

From the given data information, let us find the mean and the standard deviation.

$\mathbf{Mean (\bar x) = \dfrac{1154+5998+1007+...3987+4187+887}{10}}$

$\mathbf{Mean (\bar x) = \dfrac{24256}{10}}$

Mean (x) = 2425.6

The hypothesis testing can be computed as:

$\mathbf{H_o: \mu = 2425.6}$

$\mathbf{H_1: \mu \ne 2425.6}$

The standard deviation (σ) is:

$\mathbf{=\mathbf{ \sqrt{\dfrac{(1154-2425.6)^2+....+(887-2425.6)^2}{10-1}}}}$

$\mathbf{= \sqrt{3199489}}$

= 1788.71

Now, the Z-test statistic is determined using the formula:

$\mathbf{|Z| = |\dfrac{\bar x - \mu }{\sigma}| }$

$\mathbf{|Z| = |\dfrac{2425.6 -6550 }{1788.71}| }$

$\mathbf{|Z| = |-2.3058| }$

Z ≅ 2.306

Therefore, at a 0.05 level of significance, the Z-critical value is 2.306. However, since the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis $\mathbf{H_o}$

The complete question is given as:

Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression in 10 different samples of lung tissue, and obtains these data:

1154 5998 1007 2501 1000 988 2547 3987 4187 887

Scientist has previously determined that FOXP2 is expressed in brain tissue at a level of 6,550. Calculate the Z-score associated with a test to see if the average expression of FOXP in her lung tissue samples is different from the levels she measured from brain tissue.

Learn more about calculating the Z-score of a test statistics here:

brainly.com/question/15569214

#SPJ1

8 0

2 years ago