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3 years ago

4(x - 7) = 4x - 28

Mathematics

2 answers:

dsp733 years ago

7 0

Answer:

associative

4 is associated in the bracket

=( 4x-7 )

makvit [3.9K]3 years ago

4 0

Answer:

Step-by-step explanation:

(

−

)

−

4(x-7)=4x-28

4(x−7)=4x−28

Solve

Distribute

(

−

)

−

Add

to both sides of the equation

−

Simplify

Add the numbers

Subtract

from both sides of the equation

−

Simplify

Combine like terms

Result

The input is an identity: it is true for all values

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During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial

kumpel [21]

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

$f(x) = -12x^2 + 60x + 5$ ....(1)

(a) For maximum height, put $\dfrac{df(x)}{dt}=0$

So,

$\dfrac{ d(-12x^2 + 60x + 5)}{dt}=-24x+60$

Now put,

$-24x+60=0\\\\x=2.5\ s$

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

$f(x=2.5) = -12(2.5)^2 + 60(2.5) + 5\\\\f(x)=80\ \text{feet}$

8 0

3 years ago

Honey and Money are twin brothers. Mother wants to equally divide a rectangular shaped cake of 5cm wide and 6cm long. Find the l

tatuchka [14]

Answer:

Length of rectangular cake = 5 cm

Breadth of rectangular cake = 6 cm

Area of rectangle = 5 cm × 6 cm =30 cm²

If cake is equally distributed between Honey and Money, then areas of two parts should be equal.

So, Amount of cake that Honey and money got $\frac{30}{2}=15$

Share of each (Honey and Money)=15 cm²

So, if the third cake if it was cut diagonally ,the cake must have some height.

Let the height of cake be H.

So, Height of third cake $=\sqrt{L^2+B^2+H^2}\\\\=\sqrt{5^2+6^2+H^2}\\\\=\sqrt{61+H^2}$

If , H=0 that is height is negligible having 0 thickness,

Then the Length of third cake, which is divided into two parts=√61=7.81 cm

5 0

3 years ago

Write the ordered pair that describes a point 12 units down from and 7 units to the right of the origin.

emmainna [20.7K]

(-7,-12) s it both down and to the right of the origin

8 0

3 years ago

Read 2 more answers

The perimeter of a child’s rectangular sandbox is 18 feet . if the length of the sandbox is one foot longer than the width , wha

Andrew [12]

Answer:

2(b+1+b)= 18

Step-by-step explanation:

Perimeter of a rectangle= 2(l+b)

18 feet= 2(l+b)

length: l, breadth: b

Because the length of the sandbox is 1 foot longer, it will be:

b+1 = l

Substitute l with b+1

2(b+1+b)= 18

8 0

3 years ago

The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the lean

Marizza181 [45]

Answer:

56 meters.

Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

$\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}$

Upon substituting our given values we will get,

$\text{Cos (4)}=\frac{55.86}{h}$

$h=\frac{55.86}{\text{Cos (4)}}$

$h=\frac{55.86}{0.99756405026}$

$h=55.996\approx 56$

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

6 0

3 years ago