13
6
12
Find the area of the parallelogram.
square units

Answer:

2(x - 5)(x + 1)

Step-by-step explanation:

2x² - 8x - 10 ← factor out 2 from each term

= 2(x² - 4x - 5) ← factor the quadratic

consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)

the factors are - 5 and + 1 , since

- 5 × 1 = - 5 and - 5 + 1 = - 4 , then

x² - 4x - 5 = (x - 5)(x + 1)

then

2x² - 8x - 10 = 2(x - 5)(x + 1) ← in factored form

Answer: [tex]2(x-1)(x+5)[/tex]

Step-by-step explanation:

Factor [tex]2[/tex] out of [tex]2x^2[/tex] [tex]+~8x-10[/tex]

[tex]Factor[/tex] [tex]2 ~out~ of ~2x^2[/tex]:

[tex]2(x^2)+8x-10[/tex]

[tex]Factor ~2~ out ~of ~8x[/tex]:

[tex]2(x^2)+2(4x)-10[/tex]

[tex]Factor ~2~ out~ of ~-10[/tex]:

[tex]2x^2+2(4x)+2~x~-5[/tex]

[tex]Factor ~2~ out~ of ~2x^2+2(4x):[/tex]

[tex]2(x^2+4x)+2[/tex] × [tex]-5[/tex]

[tex]Factor ~2~out ~of ~2(x^2+4x)+2[/tex] × [tex]-5:[/tex]

[tex]2(x^2+4x-5)[/tex]

factor:

[tex]Factor ~x^2+4x-5~ using ~the ~AC~ method.[/tex]

Consider the form [tex]x^2+bx+c.[/tex] Find a pair of integers whose product is [tex]c[/tex] and whose sum is [tex]b[/tex].  In this case, whose product is [tex]-5[/tex] and whose sum is [tex]4.[/tex]

[tex]-1,5[/tex]

Write the factored form using these integers.

[tex]2((x-1)(x+5))[/tex]

Remove unnecessary parentheses.

[tex]=2(x-1)(x+5)[/tex] ← final answer

The elastic curve between 0 to L/2 is a cubic curve. And the elastic curve is shown in the given diagram.

The flexible curve of a beam is the curve generated by the crossover of the horizontal member with the beam's side, with continuous stresses on the fibers considered to be within the elastic limit.

The slope at L/2 will be

[tex]\rm \theta _{L/2} = \dfrac{PL^2}{8EI}[/tex]

The deflection of the beam at L/2 will be

[tex]\rm y_{L/2} = \dfrac{P(L/2)^3}{3EI}\\\\\rm y_{L/2} = \dfrac{PL^3}{24EI}[/tex]

And the deflection of the beam at L will be

[tex]\rm y_{L} = \dfrac{PL^3}{24EI} + \dfrac{L}{2} \times \theta _{L/2} \\\\\rm y_{L} = \dfrac{PL^3}{24EI} + \dfrac{L}{2} \times \dfrac{PL^2}{8EI}\\\\\rm y_{L} = \dfrac{5PL^3}{48EI}[/tex]

Then the elastic curve will be shown in the diagram.

More about the elastic curve link is given below.

https://brainly.com/question/24230581

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

#1. Number of small cubes in the large solid ~

[tex]\qquad \sf  \dashrightarrow \: 3 \times 3 \times 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: 18 \: \: small \: \: cubes[/tex]

#2. Volume of each small cube ~

[tex]\qquad \sf  \dashrightarrow \: v = { \bigg(\dfrac{1}{3} \bigg) }^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: v = { \dfrac{1}{3 {}^{3} }}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \: v = { \dfrac{1}{27{}^{} }}^{} \: \: m {}^{3} [/tex]

#3. Volume of large solid is :

[tex] \dashrightarrow \sf vol \: (small \: cube)\times\: no. \: of \: small \: cubes[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{27} \times 18 [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2}{3} \: \: {m}^{3} [/tex]

Answer:

hello!

Step-by-step explanation:

Answer:0

<—————|—————>
                0

Step-by-step explanation:

Answer:

c is the answer

Step-by-step explanation:

your welcome

Answer:

should be 5.05

Step-by-step explanation:

rounded to nearest hundredth

Answer:

5.02

Step-by-step explanation:

Formula for area= π x r^2

(π is 3.14)

Formula for diameter= 2 x r

So all you basically have to do is go backwords with the first equation

20/π=6.36

Now you have 6.36, though you need to go even further back because of the ^2

√6.36=2.51

Now we have the radius, so stick that into the diameter formula

2 x 2.51

5.02 is the diameter :)

Total marbles = 13

Number of yellow = 2

probability of getting yellow = 2/13

Answer:

19/117

Step-by-step explanation:

Because the dice did land on 5, 19 times out of 117

Answer:

The first thing that we have to do is add 33 to both sides to try to reduce the amount of variables on the left hand side.

[tex]\frac{x}{6} - 33 = -27[/tex]

[tex]\frac{x}{6} - 33 + 33 = -27 + 33[/tex]

[tex]\frac{x}{6} = 6[/tex]

Now that we have simplified the left hand side even more we only have one part left to get x by itself which is to multiply both sides by 6.

[tex]\frac{x}{6} = 6[/tex]

[tex]\frac{x}{6} * 6 = 6 * 6[/tex]

[tex]x = 36[/tex]

Therefore, our final answer for what the value of x equals is 36.

Hope this helps!  Let me know if you have any questions

Answer: 5

Step-by-step explanation:

The correct answers are 1008 hours are 6 weeks and 5 weeks are 840 hours.

The ratio indicates how many times one number is to the other number.For example, if you have 4 chocolates and 2 cakes the ratio of the chocolates and the cake will be 2:1 which means that chocolate is 2 times then the cake.

It is given that 168 hours is equal to 1 week. we need to find 1008 hours has how many weeks and 5 weeks has how many hours.

1.) 1008 hours has how many weeks

168 hours = 1 week

1 hour  =  1 / 168 weeks

1008 hours  = 1008 / 168  =  6 weeks

So 1008 hours has 6 weeks

2.) 5 weeks has how many hours.

1 week = 168 hours

5 weeks = 5 x 168 hours

5 weeks = 840 hours

So 5 weeks will have 840 hours.

Therefore correct answers are 1008 hours are 6 weeks and 5 weeks are 840 hours.

To know more about ratios follow

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Answer:

hours    weeks

168          1

1008        6

840         5

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

k = t - 5k

→ Substitute in k

4 = t - 20

→ Add 20 to both sides

24 = t

Answer:

a₆ = 96

Step-by-step explanation:

assuming you mean find a₆

using the recursive rule and a₁ = 3 , then

a₂ 2a₁ = 2 × 3 = 6

a₃ = 2a₂ = 2 × 6 = 12

a₄ = 2a₃ = 2 × 12 = 24

a₅ = 2a₄ = 2 × 24 = 48

a₆ = 2a₅ = 2 × 48 = 96

Answer:

9.4 cm

Step-by-step explanation:

33.37x2=66.74÷7.1=9.4

Answer:

hamster heaven

y=20+2.5x

hamster fun world

y=35+x

Step-by-step explanation:

by solving we get

x=10

y=45

by comparing the graph hamster fun world 8s cheaper on the long run

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well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

[tex]cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}[/tex]

[tex]\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}[/tex]

Answer: 2

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

V = B h

B = 8 1/3 * 4 1/5 = 35

V = 35*h

h= 6

35*6 = 210

Answer:

Range at the start of the school year = 12 - 7 = 5

Range at the end of the school year = 12 - 8 = 4

Step-by-step explanation:

Hope this helps!

Answer:

12 - 7 = 5

12 - 8 = 4

Let's solve this problem step-by-step:

   [tex]7 * 9 = (7*10)-(7*x)[/tex]

We know (7*10) - (7*x) is equivalent to the 7*(10-x)

 ⇒ based on the Distributive Properties

                           [tex]a*(b+c) = ab + ac[/tex]  

          [tex]7*(10+(-x))=(7*10)+(7*(-x)=(7*10)-(7*x)[/tex]

 So:

   [tex]7*9=7(10-x)\\9=10-x\\x=10-9\\x= 1[/tex]

Thus delta (the little triangle in this problem) in this case is 1

Answer: 1

Hope that helps!

Answer:

Number one is not reasonable

Rationalizing the denominator of the expression, it is found that the simplified expression is given by:

[tex]\frac{\sqrt{6}(12x + 20x^2) + 3\sqrt{x} + 5\sqrt{x^3}}{x(96x - x)}[/tex]

It is given by:

[tex]\frac{3 + 5\sqrt{x^2}}{4\sqrt{6x^2} - \sqrt{x}}[/tex]

We rationalize the denominator, using the subtraction of perfect squares, hence:

[tex]\frac{3 + 5\sqrt{x^2}}{4\sqrt{6x^2} - \sqrt{x}} \times \frac{4\sqrt{6x^2} + \sqrt{x}}{4\sqrt{6x^2} + \sqrt{x}}[/tex]

Then, solving the expression:

[tex]\frac{(3 + 5\sqrt{x^2})(4\sqrt{6x^2} + \sqrt{x})}{16(6x^2) - x}[/tex]

[tex]\frac{12\sqrt{6x^2} + 3\sqrt{x} + 20x^2\sqrt{6} + 5\sqrt{x^3}}{96x^2 - x}[/tex]

[tex]\frac{\sqrt{6}(12x + 20x^2) + 3\sqrt{x} + 5\sqrt{x^3}}{x(96x - x)}[/tex]

More can be learned about rationalizing at https://brainly.com/question/17110969

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Answer:

x= 2

1 =0.5

x=0

Step-by-step explanation:

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6700\\ P=\textit{original amount deposited}\dotfill & \$3600\\ r=rate\to 4.42\%\to \frac{4.42}{100}\dotfill &0.0442\\ t=years \end{cases} \\\\\\ 6700=3600[1+(0.0442)(t)]\implies \cfrac{6700}{3600}=1+0.0442t\implies \cfrac{67}{36}=1+0.0442t \\\\\\ \cfrac{67}{36}-1=0.0442t\implies \cfrac{31}{36}=0.0442t\implies \cfrac{\frac{31}{36}}{0.0442}=t\implies 19.5\approx t[/tex]

Answer:

x=4

Step-by-step explanation:

Given M is the midpoint

We know that midpoint of a line divides the line into two equal parts

Therefore on equating we get

[tex]4x + 1 = 8x - 15[/tex]

[tex]1 + 15 = 8x - 4x[/tex]

[tex]16 = 4x[/tex]

[tex]x = 4[/tex]

Steps:

[tex]4x+1= 8x-15[/tex]  

=>subtract 4 on both sides with 8x

[tex]1=4x-15[/tex]

=>now do add 15 both sides

[tex]16=4x[/tex]

=>Now divide 4x both sides

[tex]\frac{16}{4} =\frac{4x}{4}[/tex]

[tex]4=x[/tex]

So 4 is the answer

☆( O u O ) ☆

╔uu══════════════════╗☆

❝ carry on learning. ❞

╚══════nn════════════╝

Answer:

DB = 32

Step-by-step explanation:

Given :

⇒ C is the midpoint of the line AB

⇒ E is the midpoint of the line DC

⇒ AE = 16

=============================================================

Understanding :

⇒ AC = BC = 1/2AB

⇒ AD = DC = 1/2AC = 1/4AB

⇒ DE = 1/2AD = 1/4AC = 1/8AB

=============================================================

Finding AB :

⇒ AE = AD + DE

⇒ 16 = 1/4AB + 1/8AB

⇒ 3/8AB = 16

⇒ AB = 16 x 8 / 3

⇒ AB = 128/3

=============================================================

Finding DB :

⇒ DB = DC + CB

⇒ DB = 1/4AB + 1/2AB

⇒ DB = 3/4AB

⇒ DB = 3/4 × 128/3

⇒ DB = 128/4

⇒ DB = 32

Answer:

yes

Step-by-step explanation:

They too are congruent because they both have equal measure.