Select the correct answer from the drop-down menu. Consider this system of linear equations: y − x = -13 -4x + 3y = -51 The solution of the system of equations is .

Answer:

b = -7

Step-by-step explanation:

Let's solve your equation step-by-step.

−4 = 2(b + 5)

Step 1: Simplify both sides of the equation.

−4 = 2(b + 5)

−4 = (2)(b) + (2)(5)(Distribute)

−4 = 2b + 10

Step 2: Flip the equation.

2b + 10 = −4

Step 3: Subtract 10 from both sides.

2b + 10 − 10 = −4 − 10

2b = −14

Step 4: Divide both sides by 2.

[tex]\frac{2b}{2} = \frac{-14}{2}[/tex]

b = -7

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Answer:

in 1st his wife selected 80 mangoes 50 ripe and 20 unripe how it can be

Step-by-step explanation:

50+20=70 not 80

please share the correct question than I may help you

9514 1404 393

Answer:

  4 hours 40 minutes

Step-by-step explanation:

The appropriate relation is ...

  time = distance/speed

  time = (3800 km)/(900 km/h) +(400 km)/(900 km/h) = (38+4)/9 h

  = 14/3 h = 4 2/3 h

Seema's flight time is 4 hours 40 minutes.

__

2/3 of 60 minutes is 40 minutes

Step-by-step explanation:

= (x - 7)(x² + 3x - 3)

= x³ - 7x² + 3x² - 21x - 3x + 21

= x³ - 4x² - 24x + 21

Answer:

si si amigo adila

Step-by-step explanation:

Part (a)

Refer to figure 1 in the attached image below. The a,b,c,d,e are placeholders for numbers we'll fill in later (that turns into the table for figure 2). Hopefully you agree about the placement of the numbers. If there's any confusion, then please let me know.

Along the bottom row, we can see that 39+e = 65 which solves to e = 26 after you subtract 39 from both sides. This tells us that there are 26 non-physics majors (ie their major is anything but physics).

Then along the "non-physics" column, notice how b+6 = e, which is the same as b+6 = 26 after replacing 'e' with 26. Solving that equation leads to b = 20. So we have 20 people who are seniors and non-physics majors.

Now move to the top row. We can see that a+b = 30, which is the same as a+20 = 30 because we plug in b = 20. That solves to a = 10. So we have 10 seniors who are physics majors.

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Now along the first column, we have a+c = 39, aka 10+c = 39, which solves to c = 29. There are 29 non-seniors who are physics majors.

The last variable to find is variable d.

Along the second row, we can say,

c+6 = d

29+6 = d

d = 35

Or we could say that 30+d = 65 along the last column which also solves to d = 35. This tells us we have 35 non-seniors in the class.

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To summarize so far, we have

a = 10, b = 20, c = 29, d = 35, e = 26

These values will replace the letters as shown in figure 2.

Figure 2 will be used to answer both parts (a) and (b).

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

After that (more than) slight detour of filling in the table, we can finally tackle the question at hand. We're asked to find the probability of selecting someone who is a senior and a physics major. We have a = 10 people who fit the description out of 65 total

Divide the two values and reduce the fraction as much as possible

10/65 = (2*5)/(13*5) = 2/13

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

Part (b)

There's a lot going on with part (a). Luckily there aren't many steps here because pretty much all the work has been done already. We'll refer to figure 2 below.

We're told "given the student is a physics major", which means we focus solely on the "physics major" column only. We ignore everyone else because we know 100% that whoever we selected majored in physics.

We have a = 10 seniors who are also physics majors out of 39 physics majors total.

That constructs the fraction 10/39

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Subtracting 18,  we have the equation ...

  x^2 +8x -48 = 0

  (x +12)(x -4) = 0 . . . . . factored form

The values of x that make these factors zero are the solutions:

  x = -12, x = 4

The greatest solution is x=4.

Answer:

Greatest solution of x = 4

Step-by-step explanation:

x² + 8x - 30 = 18

subtract 18 from both sides

x² + 8 x - 30 - 18 = 18 - 18

x ² + 8 x - 48 = 0

split 8x in middle form

x² + ( 12 x - 4 x ) - 48 = 0

factor out x from the first pair

x ( x + 12 ) - ( 4 x- 48 ) = 0

factor out 4 from the second pair

x ( x + 12) - 4 ( x + 12 ) = 0

x + 12 is common factor

x ( x + 12) - 4 ( x + 12 ) = 0

Group common factor

(x - 4) ( x + 12 ) = 0

When the product of factors equal 0, at least one factor is 0.

x - 4 = 0

x = 4

similarly,

x + 12 = 0

x = - 12

Greatest solution of x = 4

Answer:

80°

Step-by-step explanation:

So as you can see, the givin angle is 100°. So that must mean that angle DBF is 80° because they are supplementary angles. (Together they equal 180°) And sense the pair of lines are parallel, and x is the smaller angle so it is 80°.

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Work Shown:

C = 2*pi*r  ......... circumference of the circular base

r = C/(2pi)

r = (8.5)/(2pi)

r = 4.25/pi

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

V = pi*r^2*h ...... volume of the cone

V = pi*(4.25/pi)^2*15

V = pi*(18.0625/pi^2)*15

V = (18.0625*15)/pi

V = 270.9375/pi ..... exact volume in terms of pi

If we round that decimal number up top to the nearest hundredth, then we end up with V = 270.94/pi

Answer:

The answer would be C: 140.

Answer:

x=-2

Step-by-step explanation:

If x always = -2, it is a straight vertical line which means it is parallel to the y axis

Step-by-step explanation:

x² +4ax+y² =0

x² +4ax+4a² +y² =4a²

(x+2a) ² +y² =4a² ......(i)

y² =4ax.........(ii)

By tracing the circle and the parabola we can clearly see that they touch each other along the y axis

So the equation of common tangent is x=0.

Answer:

Option : ( 2 , 6 )

x = 2, y = 6

Step-by-step explanation:

[tex]y = 4x - 2[/tex]      ---------------- ( 1 )

[tex]y = -2x + 10[/tex]   -------------- ( 2 )

Substitution Method

Substitute ( 1 ) in ( 2 ) :

                           [tex]4x - 2 = -2x + 10\\\\4x + 2x = 10 + 2\\\\6x = 12\\\\x = 2[/tex]

Now substitute x in ( 2 ):

                           [tex]y = -2x + 10\\\\y = -2 ( 2 ) + 10\\\\y = - 4 + 10 \\\\y = 6[/tex]

Answer:

6

Step-by-step explanation:

work out the brackets first....4+8=12

the multiply 1/2 by 12

1/2 x 12 = 6

Answer:

3645 rabbits after 6 months.

Step-by-step explanation:

The population of a rabbit colony triples each month.

This means that the population of the colony after t months is given by:

[tex]P(t) = P(0)(3)^t[/tex]

In which P(0) is the initial population.

The population started with 5 rabbits.

This means that [tex]P(0) = 5[/tex]

So

[tex]P(t) = 5(3)^t[/tex]

How many rabbits are there after 6 months?

This is P(6). So

[tex]P(6) = 5(3)^6 = 3645[/tex]

3645 rabbits after 6 months.

Answer:

Step-by-step explanation:

Answer:i love you

Step-by-step explanation:

Answer:

A (-1,-10) ; A (-1,14)

Step-by-step explanation:

[tex]\sqrt{(-1-4)^2 + (y-2)^2} = 13 \\ 25 + y^2 + 4 -4y = 169[/tex]

y^2 -4y - 140 = 0

Δ/4 = 4 + 140 = 144

y1 = 2 + 12 = 14

y2 = 2 -12= -10

Answer:

AB/DB = CB/EB

Step-by-step explanation:

This is the answer on Pluto. I got lucky when I guessed

The solution is given below.

The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.

Here  given:  

AB II DE, AC = CE

Now, in ΔABC and ΔEDC

As,  AB II DE (given)

⇒∠BAC = ∠CED   (Alternative pairs of angles)

and  ∠ABC = ∠CDE  (Alternative pairs of angles)

and AC = CE (given)

So, by the congruent  property of AAS

(ANGLE ANGLE SIDE) which states that two triangle are congruent if two angles and one side of one triangle is equal to the two angles and one side of the other triangle.

                               ΔABC ≅  ΔEDC

to learn more on alternate angle click:

brainly.com/question/7197938

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complete question:

Given: AB II DE, AC = CE

Prove: A ABC = A EDC

Step-by-step explanation:

Since he sold $70,834 worth of cars, he earned an extra 5% commission on the sale. That means he got

0.05×($70,834) = $3,541.70

Therefore, his salary for the month m is

m = $2250 + 0.05s = $2,250 + $3,541.70 = $5,791.70

Answer:

Step-by-step explanation:

Distance = 48 * 4

Distance = 192

~~~~~~~~~~~~~~~

3*50 = 150

192 - 150 = 42

42 MPH for the last hour

Answer:

???

Step-by-step explanation:

Answer:

The answer for thid equation is x = -5/3

Answer:

x=12

hope it will helpful to you

Answer:

Step-by-step explanation:

A = P(1+r/n)^nt

A = 900(1 + .06/2)^(5*2)

A = 900(1.03)^10

A=1209.52

Answer:

What is the height, radius or diameter of the cone?????

Step-by-step explanation & answer:

Conjugate = 5+3i

Multiply fraction by conjugate:

(15+9i+10i+6i^2) / (25-9i^2)

Simplify:

(15+19i+6i^2) / (25-9i^2)

i^2 is -1:

(15+19i-6) / (25+9)

So:

9+19i / 34

Into a +bi form:

9/34 + 19i/34

Answer:

Step-by-step explanation:

(x²-6x)+(y²+8y)=-21

(x²-6x+9)+(y²+8y+16)=-21+9+16

(x-3)²+(y+4)²=4

center=(3,-4),radius=√4=2