Solve for b 2 in A = h(b 1+b 2), if A = 16, h = 4, and b 1 = 3. b 2 =

Answer:

Well I would say John shouldn’t buy any vidoe games becuase first he can’t afford it and no one’s gonna borrow 12 dollars for a video gamer. Plus he can buy it when he has enough.

Answer:

this is correct on plato/edmentum

Step-by-step explanation:

For an equation to be viable, the result of the equation must be positive (i.e. greater than 1).

The 2 templates, the farmer created have two solutions, but only one of the solutions are viable.

For the first template, we have:

[tex]x \to[/tex] length of the shorter leg of the triangle

[tex]z \to[/tex] length of the longer leg of the triangle

From the question, we have:

[tex]z = 4 + 6x[/tex]

The area (y) of the first template is:

[tex]y = \frac{1}{2}xz[/tex] --- area of a triangle

So, we have:

[tex]y = \frac{1}{2}x(4 + 6x)[/tex]

Open bracket

[tex]y = 2x + 3x^2[/tex]

For the second template, we have:

[tex]Width = 5 + x[/tex]

[tex]Length = 3[/tex]

So, the area (y) of the second template is:

[tex]y = Length \times Width[/tex] --- area of a rectangle

This gives:

[tex]y = 3 \times (5 + x)[/tex]

[tex]y = 3(5 + x)[/tex]

[tex]y = 15 + 3x[/tex]

So, the expression for both areas are:

[tex]y = 2x + 3x^2[/tex] --- template 1

[tex]y = 15 + 3x[/tex] --- template 2

Both areas must be equal. This is represented as:

[tex]2x + 3x^2 = 15 + 3x[/tex]

Collect like terms

[tex]3x^2 +2x - 3x - 15 = 0[/tex]

[tex]3x^2 - x - 15 = 0[/tex]

Solve for x using quadratic formula, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where:

[tex]a = 3; b =-1; c=-15[/tex]

So, we have:

[tex]x = \frac{-(-1) \± \sqrt{(-1)^2 - 4\times 3 \times -15}}{2 \times 3}[/tex]

[tex]x = \frac{1 \± \sqrt{181}}{6}[/tex]

[tex]x = \frac{1 \± 13.5}{6}[/tex]

Split

[tex]x = \frac{1 + 13.5}{6} \ or \ x = \frac{1 + 13.5}{6}[/tex]

[tex]x = \frac{-12.5}{6} \ or \ x = \frac{14.5}{6}[/tex]

[tex]x = -2.08 \ or \ x = 2.42[/tex]

We can see that x has 2 solutions, but only 1 of the solutions is viable because the other is negative.

Hence, option (a) is correct

Read more about viable and non-viable solutions at:

https://brainly.com/question/10558256

Answer:

Drew Christopher Brees (/briːz/;[1] born January 15, 1979) is a former American football quarterback who played in the National Football League (NFL) for 20 seasons.[2] A member of the New Orleans Saints for most of his career, Brees is the NFL leader in career pass completions, career completion percentage, and regular season passing yards, along with being second in career touchdown passes and career pass attempts. He also holds the record of consecutive games with a touchdown pass, breaking the feat held by Johnny Unitas for 52 years.

Answer:

( 2 , − 5 )

Step-by-step explanation:

Answer:

$4298.10

Step-by-step explanation:

Using the relation :

V = Pe^rt

P = 3090 ; r = 3% = 0.03 ; t = 11 years

V = 3090 * e^(0.03 * 11)

V = 3090 * e^0.33

V = 3090 * 1.3909681

V = 4298.0915

Amount in the investment after 11 years will be $4298.10

Answer:3 1/3

Step-by-step explanation:

It’s 3 1/3

Answer:  the root of 51 is 7.141 and the root of 21 is 4.583

Step-by-step explanation:

Answer :

[tex] \bf \large 10 \: m[/tex]

Step by step explanation :

where,

⟼ c = πd

⟼ c = 22/7 × 4 m

⟼ c = 88/7 m

⟼ c = 12•57 m.

⟼ c = 12•57 m

⟼ c = 10 m.

∴ circle circumference is 10 m.

Answer:

Soda = $4  Shirt = $18

Step-by-step explanation:

s- soda

h - shirt

2s+2h = 44 → 2

h + 3h = 30 → 1

1 * 2

2h  + 6h = 60 →3

3 - 2

4h = 16

h = $4

s = $18

Answer:

9. x=13.5

10. x=11.5

Step-by-step explanation:

Answer:

Use the distributive property to get 4c-12=8

Divide both sides by 4 to get c-3=2

Step-by-step explanation:

Answer:

[tex]4\sqrt{2}[/tex]

Step-by-step explanation:

Use the distance equation

[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]

insert values (5,-2)=(x1,y1) and (1,2)=(x2,y2)

[tex]\sqrt{(5-1)^2+((-2)-2)^2}[/tex]

[tex]\sqrt{16+16}[/tex]

[tex]4\sqrt{2}[/tex]

Hope that helps :)

Answer:

[tex]\left \{ {{y=-2x+2} \atop {y=-\frac{1}{4}x-5 }} \right.[/tex]

Step-by-step explanation:

1. the equation for the first line (its poits are (0;2) and (4;-6)):

y= -2x+2;

2. the equation for the seconde line (its points are (0;-5) and (4;-6)):

y= -1/4 x -5;

3. the required system of linear equations is:

[tex]\left \{ {{y=-2x+2} \atop {y=-\frac{1}{4}x-5 }} \right.[/tex]

Answer:

m<JMK = 54

m<JKH = 63

m<HLK = 90

m<HJL = 27

m<LHK = 63

m<JLK = 27

Step-by-step explanation:

1. Solve for m<JMK

It is given that (<HMJ) and (<JMK)  form line (HK), meaning that they are supplementary angles. Thus, their degree measures add up to (180), using this one can form the following equation,

(<HMJ) + (<JMK) = 180

126 + (<JMK) = 180

(<JMK) = 54

2. Solve for m<JKH

It is given that the figure is a rectangle, one of the properties of a rectangle is that diagonals are congruent, and the diagonals bisect each other. This means that segments (JM) and (MK) are congruent. Hence, the triangle (JMK) is an isoceles triangle. Therefore, one can use the base-angles theorem, which states that (<MJK) is congruent to (<JKH). Since the sum of angle measures in any triangle is (180), one can form the following equation,

(<JMK) + (<MJK) + (<JKH) = 180

54 + 2(<JKH) = 180

<JKH = 63

3. Solve for m<HLK

As per its definition, the corner angles in a rectangle are always (90) degrees, this property is applicable for the given rectangle. Thus, (<HLK) = 90 degrees.

4. Solve for m<HJL

To solve for this angle, one can use similar logic as they did to solve for (<JKH).  Form the following equation and solve,

(<HMJ) + (<HJL) + (<JHK) = 180

126 + 2(<HJL) = 180

(<HJL) = 27

5. Solve for m<LHK

The vertical angles theorem states that when two lines intersect, the opposite angles are congruent. One can apply this theorem here and say (<JMK) = (<HML). Then, to solve for this angle, one can use the same logic that they used to solve for (<JKH) and (<HJL). Form the equation and solve,

(<HML) +(<LHK) + (<HLJ) = 180

54 + 2(<LHK) = 180

<LHK = 63

6.Solve for m<JLK

To solve for this angle, one can use the same logic that they used to solve for (<LHK). Form the equation and solve,

(<LMK) + (<JLK) + (HKL) = 180

126 + 2(<JLK) = 180

<JLK = 27

9514 1404 393

Answer:

  8π miles

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = 2πr

For a radius of 4 miles, the circumference is ...

  C = 2π(4 miles) = 8π miles

it's 26 because u count the squares in the poygon

Answer:

a) y = [tex]\frac{23}{20}[/tex] x + 13

b)  ticket price in 2009 would be $23.35 by extrapolation

Step-by-step explanation:

Answer:

3.15 and 3 3/20

Step-by-step explanation:

315 ÷ 100 = 3.15

3.15 = 3 3/20

Please mark me brainlest

Answer:

B

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

They must intersect  to have one solution. For infinite many solutions, the lines would be on top of each other.

9514 1404 393

Answer:

  A) t = 0.25c +25

  B) c = 52

  C) 3 weekday shifts

Step-by-step explanation:

A. The amount Ella earns is $0.25 per cupcake, so for c cupcakes, that is ...

  0.25c

In addition, she is paid $25, so her total amount she is paid is ...

  t = 0.25c +25

__

B. In order to earn $38, the number of cupcakes sold must be ...

  38 = 0.25c +25

  13 = 0.25c . . . . . . subtract 25

  52 = c . . . . . . . . . multiply by 4

Ella sold 52 cupcakes to earn $38.

__

C. On one of the average weekdays, Ella could be expected to earn ...

  t = 0.25(36) +25 = 34

Then for 3 weekday shifts, her earnings would be 3($34) = $102. (It would take Ella 3 weeks to earn $300.)

On one of the average weekend shifts, Ella could be expected to earn ...

  t = 0.25(62) +25 = 40.50

Then for 2 weekend shifts, her earnings would be 2($40.50) = $81. (It would take Ella 4 weekends to earn $300.)

Ella would earn $300 more quickly by working weekday shifts.

Answer:

No

Step-by-step explanation:

Figure A has an horizontal length of 2 units and a vertical length of 2 units.

Figure B has an horizontal length of 9 units and a vertical length of 7 units

Thus:

Horizontal length of Figure B / Horizontal length of figure A = 9/2

Horizontal length of Figure B / Horizontal Length of Figure A = 7/2

Thus,

9/2 ≠ 7/2

This implies that their corresponding lengths are not corresponding to each other. Therefore, Figure B is not a scale copy of Figure A.

Answer:

6:3

Step-by-step explanation:

Answer and Step-by-step explanation:

3 of the options are not to be chosen, and 3 are wanted.

That means that anything above 3 (so, 4, 5, or 6) are the numbers that are wanted, while the numbers 1, 2, and 3 are not wanted.

We have 6 total options.

The ration would be:

3:6, or 3 to 6. This reduces down to 1:2, or 1 to 2.

That means that there is a 50% chance of getting 4, 5, or 6.

#teamtrees #PAW (Plant And Water)

Answer:

) See annex

b) See annex

x  =  0,5 ft

y =  2 ft   and

V = 2 ft³

Step-by-step explanation:  See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x   ⇒ V = (3-2x)²*x    

V(x) =( 9 + 4x² - 12x )*x    ⇒   V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0              ⇒   12x² -24x +9 = 0     ⇒  4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get    x₁  =  1,5       and    x₂ =  0,5

We look at y = 3 - 2x    and see that the value x₂ is the only valid root

then

x  =  0,5 ft

y =    2 ft   and

V = 0,5*2*2

V = 2 ft³

Answer:

The common denominator would be 40

Step-by-step explanation:

Answer:

(-1,2)

Step-by-step explanation:

Write out the system in a matrix

3  5     7

2(6  -1    -8 ) Multiply row two by five and add to row one.

1  0  -1 Multiply row 1 by -6 and add it to row two.

6  -1  -8

1 0 -1

0 -1 -2 Multiply bottom row by -1

1 0 -1

0 1 2

x=-1, y=2

y + 5 = -6x - 42

y = -6x -47

Answer:

huh?

Step-by-step explanation:

Answer:

the answer is D. 100,000.

Step-by-step explanation:

I'm a very big brain specimen.