What will be the cost of the paving if cement costs $26.50 per square metre?

Can someone please solve for x

RoseWind [281]

Answer:

x = -11

Step-by-step explanation:

2x + 23 + 9 = x + 21

Combine common factors

2x + 32 = x + 21

Subtract x from both sides

x + 32 = 21

Subtract 32 from both sides

x = -11

5 0

2 years ago

3. 100x2-36y2 ??<br> ito pa guys pleasedddd!!

uranmaximum [27]

Answer:

4(5x - 3y)(5x + 3y)

Step-by-step explanation:

Assuming you require the expression factored.

Given

100x² - 36y² ← factor out 4 from each term

= 4(25x² - 9y²) ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

25x² - 9y²

= (5x)² - (3y)² ← with a = 5x and b = 3y

= (5x - 3y)(5x + 3y)

Thus

100x² - 36y² = 4(5x - 3y)(5x + 3y) ← in factored form

8 0

2 years ago

How many dimensions does a point have

Rzqust [24]

A point has zero dimensions

3 0

2 years ago

Use the alternative form of the dot product to find u · v.

vodka [1.7K]

Answer:

Step-by-step explanation:

u = 45

v = 30

Angle between them, θ = 5π / 6 = 150°

(a) The formula for the dot product is given by

$\overrightarrow{u}.\overrightarrow{v}= u v Cos\theta$

$\overrightarrow{u}.\overrightarrow{v}= 45 \times 30 \times Cos150$

$\overrightarrow{u}.\overrightarrow{v}= -1169.13$

(b) $\overrightarrow{u}=Cos\frac{\pi }{3}\widehat{i}+Sin\frac{\pi }{3}\widehat{j}$

$\overrightarrow{u}=0.5\widehat{i}+0.866\widehat{j}$

$\overrightarrow{v}=Cos\frac{2\pi }{3}\widehat{i}+Sin\frac{2\pi }{3}\widehat{j}$

$\overrightarrow{v}=-0.707\widehat{i}+0.707\widehat{j}$

Let the angle between them is θ

The formula in terms of the dot product is given by

$Cos\theta =\frac{\overrightarrow{u}.\overrightarrow{v}}{u v}$

$u=\sqrt{0.5^{2}+0.866^{2}}=1$

$v=\sqrt{-0.707^{2}+0.707^{2}}=1$

$Cos\theta =\frac{0.5 \times (-0.707) + 0.866 \times 0.707)}{1\times 1}$

$Cos\theta=0.2587$

θ = 75°

(c) $\overrightarrow{u}=1\widehat{i}+4\widehat{j}+8\widehat{k}$

$u=\sqrt{1^{2}+4^{2}+8^{2}}=9$

$Cos\alpha =\frac{1}{9}$

$Cos\beta =\frac{4}{9}$

$Cos\gamma =\frac{8}{9}$

7 0

2 years ago

Tell whether 20 is a factor or multiple of the number .Write factor ,multiple,or neither. 10. 30

steposvetlana [31]

20 is a multiple of 10
It is neither for 30.

4 0

2 years ago

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