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[tex]~~~~k^2-2k-8=0\\\\\implies k^2 - 2k +1^2-1-8=0\\ \\\implies ( k-1)^2-9=0\\\\\implies (k-1)^2-3^2 =0\\\\\implies (k-1-3)(k-1+3)=0\\\\\implies (k-4)(k+2)=0\\\\\implies k=4,~~ k= -2[/tex]

Answer:

I am pretty sure it is the second option

Step-by-step explanation:

Hope this helps

Answer:

See attached image.  82 and 98 degrees.

Step-by-step explanation:

On attached document.

Answer:

56

Step-by-step explanation:

You need to divide 20/16 and 70*z to find the missing length.

Answer:

for number 6 the width is 24 and the blank after the length of 9 is 12 and after 48 width it is 60. your welcome.

A rectangle is a 2-dimensional shape having 4 sides. The width of the rectangle is 5x^2 + 4x - 6

A rectangle is a 2-dimensional shape having 4 sides

The formula for calculating the area of the rectangle is given as:

A = lw

Given the following

Area = 5x^3+19x^2+6x-18
Length = x + 3

Using the synthetic division:

           5x^2 + 4x - 6

x + 3 |  5x^3+19x^2+6x-18

           5x^3 + 15x^2

________________________

                     4x^2 + 6x
                     4x^2 + 12x

__________________________

                                -6x - 18
                                -6x - 18

Hence the width of the rectangle is 5x^2 + 4x - 6

Learn more on area of rectangle here: https://brainly.com/question/25292087

Answer:

A

Step-by-step explanation:

The transformations that would prove that circles A and C are similar are:

The circles are given as:

Circle A and B

Assume the following parameters:

To start with;

The circle A must be reflected across the line y = x with the following transformation rule:

(x,y) -> (y,x)

So, we have:

(2,3) -> (3,2)

Next, the radius of A must be dilated by 3/2 as follows:

New Radius = 3/2 * 2 = 3

After the transformations, we have the following parameters:

Notice that both circles now have the same center and radius.

Hence, both circles are similar

Read more about similar circles at:

https://brainly.com/question/9177979

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

if 75% voted that is 45 people meaning 15 did not vote.

Answer:

  43°

Step-by-step explanation:

Triangle ADM is a right triangle with legs AD=4 cm and DM=√18 cm. The angle at M is the angle of interest. It can be found using the inverse tangent function.

  Tan = Opposite/Adjacent

  tan(∠AMD) = AD/MD = 4/√18

  ∠AMD = arctan(4/√18) ≈ 43.31°

The angle the plane makes is about 43°.

Answer:

the measure of the angle that the plane ABC makes with the base of the prism = 43 degree (to the nearest degree)

Step-by-step explanation:

We notice that the plane ABC and the base of the prism intersect along the line BC

And as the plane (ADM) is perpendicular to the line BC

then the angle between the plane ABC and the base of the prism is the angle AMD

Let θ be the measure of the angle AMD

[tex]\begin{aligned}\tan (\theta) &=\frac{A D}{M D} \\&=\frac{4}{\sqrt{18}}\end{aligned}[/tex]

[tex]\begin{aligned}\Rightarrow \theta &=\tan ^{-1}\left(\frac{4}{\sqrt{18}}\right) \\&=43,31385 \ldots\end{aligned}[/tex]

Step-by-step explanation:

31+27+19+18+22+21+25+29+34+30 divided by 10

Answer:

See Below

Step-by-step explanation:

Put -5 in place of x

18(-5)-42 does not equal 7(-5)

-90-42 does not equal -35

-90-42=-132, not -35

The value x = -5 is a solution to the inequality 18x − 42 ≠ 7x.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

For showing x =-5 is a solution of the inequality 18x − 42 ≠ 7x put x =-5 in the solution if it satisfies the condition then it is a solution of the given inequality.

18x − 42 ≠ 7x

18 x ( -5 ) - 42 ≠ 7 x ( -5 )

-132 ≠ -35

The value x = -5 is satisfying the given inequality. Hence, x = -5 is a solution to the inequality 18x − 42 ≠ 7x.

To know more about inequality follow

https://brainly.com/question/24372553

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Answer:

-8

Step-by-step explanation:

[tex]\ \ \ \ \ \ \dfrac{-9 -7}{2} \\\\\\= \ \ \ \dfrac{-16}{2} \\\\\\= \ \ \dfrac{-(2^{4} )}{2^{1} } \\\\\\= \ \ -(2^{4 - 1}) \\\\\\ = \ \ -(2^{3})\\\\\\= \ \ - (2 \times 2 \times 2) \\\\\\= \ \boxed{-8}[/tex]

Answer:

-8

Step-by-step explanation:

Answer:

3950

Step-by-step explanation:

-50 + (-44) + (-38) + 2038 + 2044

-94 +  (-38) + 2038 + 2044

-132 + 2038 + 2044

1906 + 2044

3950
Hope this helps :)

Solution:

348950

Explanation:

( first term + third term )/2 = second term

Thus it is arithmetic series.

[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]

Solving step-wise:

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

Here,

[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]

[tex]\sf S_n = \dfrac{350}{2} (2(-50)+(350-1)(6))[/tex]

[tex]\sf S_n =348950[/tex]

Answer:

          75

-    _____________

        10x^4−27

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we do all brcakets becuase we are following the law of BODMAS.

2×-5×3 = -10×3= -30

Now we do all powers and indices:

-5²= 25

10²= 100

3³ = 27

Now we do the top of the fraction:

25+100 = 125

Now we do the bottom bit of the fraction:

-30+27 = -3

Now we divide 125 by -3:

-41 2/3

-41.666.....

Answer:

150m

Step-by-step explanation:

work = force x distance

w=fd

d=w/f

d= 4500/30 = 150

Answer:

[tex] \fbox{Volume \: of \: pyramid \: = 24 ft³}[/tex]

Step-by-step explanation:

Given:

shape of object = Pyramidal

length of base l= 4ft

width of base w = 3ft

height of pyramid h = 6 ft

To find:

volume of pyramid = ?

Solution:

[tex]Volume \: of \: pyramid= \frac{l \times w \times h}{3} \\ Volume \: of \: pyramid= \frac{6 \times 4 \times 3}{3} \\ Volume \: of \: pyramid= \frac{24 \times \not3}{ \not3} \\ Volume \: of \: pyramid= 24 \: {ft}^{3} [/tex]

[tex] \fbox{Volume \: of \: pyramid \: = 24 ft³}[/tex]

Answer:

Step-by-step explanation:

According to the graph we have

Their sum is

Answer:

ling

Step-by-step explanation:

you just have to compair the girls

and from the bar gragh ling is he sortest.

Answer:

3(x + 8) = 6

Step-by-step explanation:

let the number be x then the sum of x and 8 is x + 8 and multiplied by 3 is

3(x + 8) = 6 ( divide both sides by 3 )

x + 8 = 2 ( subtract 8 from both sides )

x = - 6

the number x is - 6

Answer:

179.50

Step-by-step explanation:

The formula for calculating pi is as followed: 4/3·π·r³

The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.

∴V=4/3·3.14·3.5³

V=179.503333333

Round your answer to the nearest hundredth:

179.503333333 rounded to the nearest hundredth becomes 179.50

∴V=179.50

-------------------------------------------------------------------------------------------------------------

Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.

V=π.4/3·r³

V=π·57.1666666667

Round 57.1666666667: 57.17

V=57.17π

Either one would work. Hope this works.

Answer:

because of some theorm or postulate i forget the name of, angles on opposite sides are equal
110 = 4t + 90
20 = 4t
5 = t
t is equal to 5 degrees

Answer:

it is B

Step-by-step explanation:

that's because line goes through (0,0)

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

Total surface area :

[tex]\qquad \sf  \dashrightarrow \:2(lw + wh + lh)[/tex]

[ l = Length, w = width, h = height ]

[tex]\qquad \sf  \dashrightarrow \:2 \{(6 \times 2) + (2 \times 3) + (6 \times 3) \}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \{12 + 6+ 18\}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 (36)[/tex]

[tex]\qquad \sf  \dashrightarrow \:72 \: ft {}^{2} [/tex]

Answer:

in order to know the money that he receive first the type and amount of box must be described unless the question may not have answer.

Answer:

The first one is obtuse because it is larger than 90 degrees.

The second one is reflex shown below:

Step-by-step explanation: