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2 years ago

Use the distributive property to write an equivalent expression. 4(p - 7q+3)

Mathematics

2 answers:

ASHA 777 [7]2 years ago

6 0

Answer:

Answer is below

Step-by-step explanation:

Simplify

$4(p-7q+3)\\=(4)(p+-7q+3)\\=(4)(p)+(4)(-7q)+(4)(3)\\=4p-28q+12$

Doss [256]2 years ago

3 0

Answer:

4p - 28q + 12

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What is the dimension of a rectangle if the perimeter is 198

AfilCa [17]

Answer:

Length = 49.5 unit and width = 49.5 unit

Step-by-step explanation:

Given as , Perimeter of rectangle = 198 unit

so ,as Perimeter of rectangle = 2× ( Length + width)

Or, 198 = 2 × (Length + width)

Or, $\frac{198}{2}$ = length + width

So, length + width = 99 unit

Now to make area maximum

Length × width = maximum

Or, (99 - width ) × width = maximum

99 Width - width² = maximum Let width = W

Now differentiate both side with respect to W

D(99W - W²) $\frac{D(99w - w^2)}{Dw}$ = 0 as, constant diff is 0

So, 99 - 2w = 0

Or, w = $\frac{99}{2}$

Or, w = 49.5 unit and L = 99- 4905 = 49.5 unit Answer

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3 years ago

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.

Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

AD+DB=3

x+DB = 3

DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

$BC^{2} = DB^{2} +CD^{2}$

$BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}$

$BC^{2} =(3-x)^{2} +2$

Since given AD=BC,let us plugin BC=x in above step.

$x^{2} =(3-x)^{2} +2$

$x^{2} =9-6x+x^{2} +2$

6x=11

x= $\frac{11}{6}$

Now we know AD=x= $\frac{11}{6}$ and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

$AC^{2} =AD^{2} +DC^{2}$

$AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}$

$AC^{2} =\frac{193}{36}$

$AC=\sqrt{\frac{193}{36} }$ = 2.315cm

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3 years ago

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uranmaximum [27]

3) <
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6 0

3 years ago

Read 2 more answers

In the diagram, which two angles are alternate interior angles with angle 14?

Nookie1986 [14]

I agreed Angle 4 and 12 is the right answer

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2 years ago

Solve: g^2x+1=g^3x-2<br> x=?

Schach [20]

Answer:

the answer you will be looking for is g^2x - g^3x = -3

Step-by-step explanation:

as much as I would like to, I'm really not that great at explaining things

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2 years ago