solve 2x +5y =-24 2x+ y =-8

Step-by-step explanation:

We are given that ∠ABC≅∠DEC and ∠GFE≅∠DCE

By Vertical Angles: ∠DEC≅∠GEF and ∠DCE≅∠ACB

By Substitution: ∠ABC≅∠GEF and ∠GFE≅∠ACB

By Angle-Angle Similarity: ΔABC~ΔGEF

Hope this helps! Sorry if I didn't explain well :(

[tex] \tt\huge Answer \to[/tex]

x^3 + y^3 + z^3

Cannot be fully factored because it is already in it's most simplistic form.

But, I can halfway factor it, which is

(x+y+z)^3 - 3( yx^2 + zx^2 + xz^2 + yz^2 + xy^2 + zy^2 + 2xyz )

Answer:

x=56

Step-by-step explanation:

Hope this helps!

Answer:

x = 12.05

using sine rule:

[tex]\boxed{sin(a) = \frac{opposite}{hypotenuse} }[/tex]

Here given the angle is 35° and hypotenuse is 21.

To find x:

→ sin(35) = [tex]\frac{x}{21}[/tex]

→ x = 21 * sin(35)

→ x = 12.04510516

→ x = 12.05 ................rounded to nearest tenth.

The Bernoulli counting process depicts that the value of X6 will be 0.

The value of X6 will be:

= N6 - N5

= 3 - 3

= 0

Also, the value of S3 will be:

X1 = 1 - 0 = 1

X2 = 1 - 1 = 0

X3 = 1 - 1 = 0

Therefore, S3 will be:

= X1 + X2 + X3

= 1 + 0 + 0

= 1

In conclusion, the value of S3 is 1.

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Answer:

I'm certainly late, but it took me a while to figure this one out so I want to leave an answer.

A=-5 B=2 C=19 D=-2

Step-by-step explanation:

I looked back at the video and actually tried to pay attention and the way to figure these problems out is set up all of the degrees of x in an equation. So, take all of the coefficients that are attached to an x^3, and set them up equal to each other. This makes -5=A, which is the first answer. Repeat for x^2 and you have B=2. For x, it becomes 9=2A+C. A is equal to -5 (from the x^3), so you can substitute and get c=19. Repeat for the x^0 term (the constants), and you get 2=2B+D. Plug in the value for B, 2, and get 2=4+D, which then becomes D=-2. That's how you get the answer and I hope this helps somebody.

The values are A=-5, B=2, C=19 and D=-2

Partial fractions are the fractions used for the decomposition of a rational expression. When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction. Hence, basically, it is the reverse of the addition of rational expressions.

Given:(-5x³+2x²+9x+2) / x²+2 =(Ax + B)/x²+2 + (Cx + d)/x²+2 .......(1)

First, we have to perform the long division as follows

The long division gives

(-5x³+2x²+9x+2 )/ x²+2= ( -5x+2)+ (19x-2)/ x²+2

Now, we have to find the partial fraction for  (19x-2)/ x²+2

But, as denominator cannot be factored, So no partial fraction can be calculated.

Thus, (-5x³+2x²+9x+2 )/ x²+2=  ( -5x+2)+ (19x-2)/ x²+2

Comparing it with equation (1), we get

Hence, A=-5, B=2, C=19 and D= -2

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there would only be one committee of eight, because there is only 15 boys if you add it up 7 + 8= 15 you do not have enough boys to form more than one committee there will be seven boys left out three of which are perfect

Answer:

y ≥ - 0.8

Step-by-step explanation:

[tex]\sqrt{25y^2 +40y+16}[/tex] = 5y + 4

[tex]\sqrt{(5y+4)^2}[/tex] = 5y + 4

5y + 4 = 5y + 4 and 5y + 4 ≥ 0 ⇒ y ≥ - 0.8

y ∈ [ - 0.8 , ∞ )

- ( 5y + 4 ) = 5y + 4

10y = - 8

y = - 0.8

The answer is y ≥ - 0.8

Answer:

147$

Step-by-step explanation:

105/5 = x/7

x = 105*7/5 = 147

Answer:

C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin

Step-by-step explanation:

by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin

Answer:

Step-by-step explanation:

Answer:

1) The sequence is arithmetic as the same value is added each time (there is a common difference between terms).

2) First term of the sequence = -9

3) sequence generator = + 4

Step-by-step explanation:

1) The sequence is arithmetic as the same value is added each time (there is a common difference between terms).

2) First term of the sequence = -9

3) sequence generator = + 4

The answer to the problem(i did this question before) B

The solution to the question by reading the graph is:

When x(Time of parking) is 6 hours, y(Cost of Parking) is 12 hours.  

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

here, we have,

Mr. Chen is parking in a lot downtown. The graph shows the relationship

between the time and the total cost of parking .

now, we have to find the function for an input of 10 Cost of Parking in Lot 20.

Hence, The solution to the question by reading the graph is:

When x(Time of parking) is 6 hours, y(Cost of Parking) is 12 hours.  

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Answer:

4

Step-by-step explanation:

{sec(θ) - tan(θ) = 1/4, sec(θ) + tan(θ)} = tan(θ) + sec(θ) = 4

use subsitution

Answer:

sure I will

Step-by-step explanation:

please give brainiest

Answer:

where is your pic can you post

Answer:

Step-by-step explanation:

Number of 4 generated is 7 and number of 7 generated is 5.

Total of 7 + 5 = 12 outcomes out of 50:

The experimental probability of the computer generating a 4 or a 7 is D. 24%.

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where P_e(E) is denoting the experimental probability of occurrence of E.

A computer generates 50 integers from 1 to 8 at random. The results are recorded in this table.

Outcome 1 2 3 4 5 6 7 8

Number of times outcome occurred

5 8 9 7 4 6 5 6

The Total of 7 + 5 = 12 outcomes out of 50:

The experimental probability of the computer generating a 4 or a 7

P(4 or 7) = 12/50

= 24/100

= 24%

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[tex]\bold{\huge{\underline{ Solutions }}}[/tex]

We have,

We know that,

[tex]\bold{\red{ d = }}{\bold{\red{\sqrt{2}}}}{\bold{\red{ a }}}[/tex]

Subsitute the required values in the above formula :-

[tex]\sf{ 20 = }{\sf{\sqrt{2}}}{\sf{ a }}[/tex]

Squaring on both the sides :-

[tex]\sf{ 400 = 2a^{2}}[/tex]

[tex]\sf{\dfrac{400}{2}}{\sf{ = a^{2}}}[/tex]

[tex]\sf{ 200 = a^{2}}[/tex]

[tex]\bold{ a = 14.14 cm }[/tex]

Hence, The side of the square is 14.14 cm

Here, we have to prove that,

We know that,

Area of square

[tex]\bold{\pink{ = side}}{\bold{\pink{\times{ side}}}}[/tex]

Subsitute the required values,

[tex]\sf{ = 14.14 }{\sf{\times{ 14.14}}}[/tex]

[tex]\bold{ = 200 cm^{2}}[/tex]

Hence, It is proved that the area of the square is 200 cm².

Answer:

ca and diameter

Step-by-step explanation:

Answer:

In the image

Hope this helps!

Step-by-step explanation:

1. AC

2. the diameter

Answer:

Step-by-step explanation:

equation is:

8.2x=0.2x+0.4

if x is time

8.2x-0.2x=0.4

8x=0.4

x=0.05 hours from when Karen starts and 0.45 hours fromt the time tevin started.

Answer:

angle xdq= 90-49= 41

angle uxd= 180-41= 139

Step-by-step explanation:

A right angle equals 90 degrees.

90-49 = angle xdq = 41 degrees

49 + 90 + x = 180

angle x = 41

180-41 = angl uxd = 139

Answer:

30

Step-by-step explanation:

Because of the following statement is not true no.of atoms

Answer:

48

Step-by-step explanation:

4+1=5

60÷5=12

12×4=48

Multiply each term of 82 by each broken term of 34, i.e.

[tex] \tt \multimap \: 80 \times (30 + 4) + 2 \times (30 + 4)[/tex]

[tex] \tt \nrightarrow \: 80 \times 34 + 2 \times 34[/tex]

[tex] \tt \Rrightarrow \: 2720 + 68[/tex]

[tex] \tt \rightharpoonup \: 2788[/tex]

Multiply each term of 69 by each broken term of 12, i.e.

[tex] \sf \multimap \: 70 \times (10 + 2) - 1(10 + 2)[/tex]

[tex] \sf \nrightarrow \: 70 \times 12 - 1 \times 12[/tex]

[tex] \sf \Rrightarrow \: 840 - 12[/tex]

[tex] \sf \rightharpoondown \: 828[/tex]

Answer:

Step-by-step explanation:                            

Multiplying both sides of this equation by 2 eliminates the fraction:

                 2v = lbh

and dividing both sides by lb isolates (solves for) h:

                            2v

                   h = ---------

                             lb

Answer:

[tex]m = \frac{y2 - y1}{x2 - x1} \\ \frac{8 - 4}{6 - 2} \\ = \frac{4}{4} \\ m = 1[/tex]

Answer:

if you mean find the coordinates "of" the midpoint then the solution is

Step-by-step explanation:

(x1+x2)/2 and (y1+y2)/2

so

(2+6)/2=8/2=4 and (4+8)/2=12/2=6

so the coordinates of the midpoint of the given segment is

(4,6)

Answer:

[tex]5\sqrt{185}t[/tex]

Step-by-step explanation:

after time t (hr), the distance between A and starting point is 40t

the distance between B and starting point is 55t

These two distances are perpendicular to each other, so

the distance between A and B is

[tex]\sqrt{(40t)^2+(55t)^2}=\sqrt{4625t^2}=5\sqrt{185}t[/tex]

Step-by-step explanation:

we know that sum of all angles of a triangle is 180°

so, angle N + angle O + angle M = 180°

=> (-5b+16)+(-b+8)+(-9b-9) = 180°

=> -5b+16-b+8-9b-9 = 180°

=> -15b+15 = 180°

=> -15b = 180-15

=> -15b = 165

=> b = -165/15

=> b = -11

angle N => -5(-11)+16

=> 55+16 => 71

angle O => -(-11)+8

=> 11+8 => 19

angle M => -9(-11)-9

=> 99-9

=> 90

Answer:

28.317 litres

62.8 litres

Answer:

the measure of the external angle which is marked by yellow is 156 degrees