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pashok25 [27]
3 years ago
14

3w + 15 - 5 +2 = 5 how do you solve and what's the answer ?

Mathematics
2 answers:
ryzh [129]3 years ago
4 0

Combining the numbers, we get 3w+12=5

3w=-7

w=-7/3

borishaifa [10]3 years ago
4 0

3w + 15 - 5 + 2 = 5

Combine like terms (15 - 5 + 2).

3w + 12 = 5

Subtract 12 from both sides.

3w = -7

Divide both sides by 3.

w = \boxed {-7/3} or \boxed {-2~~ 1/3}

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Hyperbola Question:
AveGali [126]

Answer:

\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600} = 1

Step-by-step explanation:

A hyperbola is a curve for which the difference of the distances |d₂ - d₁| of any point P from the foci is constant.

The definition leads to the equation

\dfrac{x^{2}}{a^{2}} - \dfrac{y^{2}}{b^{2}} = 1

1. Calculate the value of a²

Assume the neighbours are at the foci A and B.

The explosion is farther from B than from A, so it occurred on the right branch of the hyperbola.

Then AB = 1 mi = 5280 ft

and the distance from the focus to the y-axis is

c = 2640

The vertices are (±a,0).

The speed of sound is 1100 ft/s, so B is 2200 ft further from the explosion.  

The distance from A to the vertex V₁ is c - a. Then

AB = 2200 + 2(c - a) = 2200 -2(2640 - 2a) = 2200 +5280- 2a = 5280

2a = 2200

a = 1100

a² = 1 210 000

2. Calculate the value of b²

\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\1100^{2} + b^{2} & = & 2640^{2}\\b^{2} & = & 2640^{2} - 1100^{2}\\& = & 6969600 - 1210000\\& = & \mathbf{5759600}\\\end{array}

3. Write the equation for the hyperbola

\mathbf{\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600}} = \mathbf{1}

5 0
4 years ago
The number of bagels and coffee sold by a bagel shop yesterday can be modeled using the equation b+c=84. Their sales for the sam
Yakvenalex [24]

Answer:

There were 61 bagels and 23 coffee sold

Step-by-step explanation:

Let us solve the question

∵ The number of bagels and coffee sold by a bagel shop yesterday

   can be modeled using the equation b + c = 84

∴ b + c = 84 ⇒ (1)

∵ Their sales for the same day can be modeled using the equation

   2b + c = 145

∴ 2b + c = 145 ⇒ (2)

Let us solve the system of equations using substitution

→ Subtract the two sides of equation (1) by b to find c in terms of b

∵ b - b + c = 84 - b

∴ c = 84 - b ⇒ (3)

→ Substitute c in equation (2) by equation (3)

∵ 2b + 84 - b = 145

→ Add the like terms on the left side

∴ (2b - b) + 84 = 145

∴ b + 84 = 145

→ Subtract 84 from both sides

∵ b + 84 - 84 = 145 - 84

∴ b = 61

→ Substitute the value of b in equation (3) to find c

∵ c = 84 - 61

∴ c = 23

∴ There were 61 bagels and 23 coffee sold.

3 0
3 years ago
Find the product.<br><br> (-5a ^2)^3 · a^5
GrogVix [38]

Answer:

<u><em>−125a^(11)</em></u>

Step-by-step explanation:

<u><em>(−5a^(2)3a^(5) Then you solve</em></u>

<u><em>=−125a^(11)</em></u>

4 0
4 years ago
Please help its due in 1 hour it would be best if you show work
aleksley [76]

Answer:

1:quadrant 1

2:quadrant 1

3:quadrant 2

4:quadrant 3

5:quadrant 1

6:quadrant 4

7:Z and quadrant 2

8: F and quadrant 1

9:A and quadrant 4

10: R and quadrant 4

11: N and quadrant 2

12: Q and quadrant 3

13a:the clock

13b:wonder wheel

13c:big coaster

13d: -1,2

Good luck

6 0
3 years ago
Which of the following is true? <br> (6, 6) lies on y-axis
Dafna11 [192]
False

(x,y)

so if it lies on the y axis, then x=0
it has to be (0,y) for it to lie on y axis

since we have (6,6), it does not lie on any axis



false
3 0
4 years ago
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