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2 years ago

Tyreese is using algebra tiles to solve the equation below.

Mathematics

2 answers:

shtirl [24]2 years ago

6 0

Answer: step 3 is the correct first step

Step-by-step explanation:

Let us number the steps

1) Tyreese’s first step is to

remove one x-tile from both sides.

2) remove two x-tiles from the left side.

3) add one positive x-tile to both sides.

4) add two positive x-tiles to both sides.

The equation which Tyreese wants to solve is

2x + 5 = - x + ( -1 ). The aim is to make x to be on only one side

1) If she applies step 1, it becomes

2x - x + 5 = - x - x + ( -1 )

x + 5 = -2x - 1

x is still on both sides, so step 1 is wrong.

2) If she applies step 2, it becomes

2x - 2x + 5 = - x + ( -1 )

5 = -x - 1

step 2 is wrong because whatever you do to the left hand side must also be done to the right hand side. So 2x must be removed from both sides.

3) If she applies step 3, it becomes

2x +x + 5 = - x + x + ( -1 )

3x + 5 = - 1

x is on only the left hand side of the equation, so step 3 is right.

4) If she applies step 4, it becomes

2x + 2x + 5 = - x + 2x + ( -1 )

4x + 5 = x - 1

x is still on both sides, so step 4 is wrong.

Alex787 [66]2 years ago

4 0

Answer:

add one positive x-tile to both sides.

Step-by-step explanation:

3) If she applies to step 3, it becomes

2x +x + 5 = - x + x + ( -1 )

3x + 5 = - 1

x is on only the left-hand side of the equation, so step 3 is right.

Consider the provided equation.

2x + 5 = -x + 1

Now to solve the above equation first isolate the variables.

To isolate the variables add x to both the side of the equation.

2x + 5 + x = -x + 1 + x

Now add the like terms.

3x + 5 = 1

Here we add the x tiles to both the side of the equation.

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An object falls freely in a straight line and experiences air resistance proportional to its? speed; this means its acceleration

KiRa [710]

Answer:

t = 1.068 s

Step-by-step explanation:

given,

a(t) =- k v(t)

speed of the object decreases from 800 ft/s to 700 ft/s

distance = 1400 ft

time for deceleration = ?

a(t) =- k v(t)

$\dfrac{dv}{dt}= - kv$

$\dfrac{dv}{v}= - kdt$

integrating both side

$\int_{800}^{700}\dfrac{dv}{v}= - k\int dt$

$ln(\dfrac{7}{8})=-kt$

$t = -\dfrac{1}{k}ln(\dfrac{7}{8})$ ..........(1)

since,

$v = v_1e^{-kt}$

$\dfrac{ds}{dt} = 800e^{-kt}$

$\int ds= 800\int_0^t e^{-kt}dt$

$1400= -\dfrac{800}{k}[e^{-kt}-e^0]$

from equation 1

$k= -\dfrac{8}{14}[\dfrac{7}{8}-1]$

$k= \dfrac{1}{8}$

putting value of k in equation (1)

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t = 1.068 s

5 0

2 years ago

Please help me out please

frosja888 [35]

Answer:

302 m³

Step-by-step explanation:

The volume (V) of a cone is calculated using the formula

V = $\frac{1}{3}$ πr²h

where r is the radius and h the height

Consider the right triangle from the vertex of the cone to the midpoint of the base and the radius

with hypotenuse = 10 cm

h² + 6² = 10²

h² + 36 = 100 ( subtract 36 from both sides )

h² = 64 ( take the square root of both sides )

h = $\sqrt{64}$ = 8

Hence

V = $\frac{1}{3}$ π × 6² × 8

= $\frac{1}{3}$ π × 36 × 8

= $\frac{36(8)\pi }{3}$ ≈ 302 m³

7 0

2 years ago

What is 12 m/mi = cm/s

yarga [219]

1 Cancel m.

12i=c*m/s

2 Use rule a*b/c = ab/c

12i=cm/s

3 Multiply both sides by s.

12is=cm

4 Divide both sides by 12.

is=cm/12

5 Divide both sides by i

s=cm/12/i

6 Simplify cm/12/i

s=sm/12i

4 0

1 year ago

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valentinak56 [21]

Good luck I really hope you past it then

6 0

1 year ago

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zubka84 [21]

Answer:

Step-by-step explanation:

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4 0

2 years ago