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3 years ago

Write an expression that is equivalent to 5(x + 2) - 7(x + 2)?

Mathematics

2 answers:

sergey [27]3 years ago

6 0

5x +10-7x-14
-2+10-14
-2x-4

bekas [8.4K]3 years ago

3 0

Answer:

-2x-4

Step-by-step explanation:

Just simplify

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Which monomial is a perfect cube? 1x10 8x8 9x9 27x15

horsena [70]

I think the answer is 8x8 please dont judge me if it is wrong.

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3 years ago

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Write an equation of the parabola in vertex form. No LINKS!!!!

marissa [1.9K]

9514 1404 393

Answer:

y = -16x² +180

Step-by-step explanation:

The vertex appears to be the high point of the graph, (0, 180). Then the vertex form equation is ...

y = a(x -0)² +180

The value of 'a' can be found using the other given point. Substituting for x and y, we have ...

164 = a(1 -0)² +180

-16 = a

Then the complete simplified vertex form equation is ...

y = -16x² +180

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2 years ago

A 55m and 35m broad park is surrounded by a 2.5m wide path.

daser333 [38]

Step-by-step explanation:

☄ $\underline {\underline{ \text{Given}}} :$

Length of a park ( l ) = 55 m
Breadth of a park ( b ) = 35 m
Width running outside the park ( d ) = 2.5 m
Rate of paving the path with stones = Rs 120 per sq.metre

☄ $\underline{ \underline{ \text{To \: find}}}:$

Area of the park
Cosy of paving the path with stones at Rs 130 per sq.metre

☄ $\underline{ \underline{ \text{Solution}}} :$

Part 1 : $\boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}$

plug the known values and simplify :

⟹ $\sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}$

⟹ $\sf{5 \times 95}$

⟹ $\sf{475 \: {m}^{2} }$

Part 2 : $\boxed{ \sf{Total \: cost = Area \: of \: paths \: \times Rate}}$

⟹ $\sf{475 \times 120}$

⟹ $\sf{Rs \: 57000}$

$\purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \: {m}^{2} \: and \: (ii ) = Rs \: 57000}}}}}$

Hope I helped ! ♡

Have a wonderful day /night ツ

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3 years ago

Pre-algebra builder #23-24 answers

const2013 [10]

Answer:

Step-by-step explanation:

one

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3 years ago

a wire of length 200 cm is cut into two parts and each part is bent to form a square.If the area of the larger square is 9 times

diamong [38]

Answer:

The perimeter of the larger square is $150cm.$

Step-by-step explanation:

First of all, let one part of it be " $x$ "

and the other part of it " $200-x$ "

Now to solve this :

The area of the square = $L^2$

The area of one part of the square = $x^2$

The area of the other part of the square = $(200-x)^2$

$9x^2= (200-x)^2\\9x^2=40000-400x+x^2$

Now, add, $-4x^2$ to both the sides :

$9x^2-9x^2=40000-400x+x^2-9x^2\\-1(8x^2+400x-40000)=0$

Now, take out the "8" which is common :

$-8(x^2+50x-5000)=0$

Now, divide it by $-8$ :

$x^2+100x-50x-5000=0\\x(x+100)-50(x+100)=0\\(x+100)(x-50)=0\\$

$x=-100$ or $50$

So, now we know that :

One of the part is = $50cm$

And the other part is = $150cm$

Thus the perimeter of the larger square is = $150cm$

3 0

3 years ago