All categories

3 years ago

find the distance between the pair of points. ( square root 5, square root 2) and -3 square root 5, 5 square root 2)

1 answer:

7 0

Use the distance formula

d = sqrt ((y2-y1)^2 + (x2-x1)^2))

= sqrt ( (5 sqrt2 - sqrt2)^2 + ( -3sqrt5 - sqrt5)^2)

= sqrt [( 4sqrt2)^2 + (4sqrt5)^2]

= sqrt (32 + 16*5) = sqrt 112 = sqrt16 * sqrt7 = 4 sqrt7

The answer is 4 sqrt7

You might be interested in

Tower one, a cube with a hexagonal prism measures 15.6cm. Tower two, a cube with a cylinder measures 18.3cm. Tower 3, a hexagona

lina2011 [118]

Answer:

$Tower 4 = 23.9cm$

Step-by-step explanation:

Given

Tower one = 15.6 cm

Tower two = 18.3 cm

Tower 3 = 13.9 cm.

Required:

Height of the 4th tower

Represent a cube by X; a cylinder by Y and a hexagonal prism by Z

Tower one, a cube with a hexagonal prism = X + Z = 15.6

Tower two, a cube with a cylinder = X + Y = 18.3

Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9

$X + Z = 15.6$ ----- Equation 1

$X + Y = 18.3$ ----- Equation 2

$Z + Y = 13.9$ ----- Equation 3

Subtract equation 1 from 2

$(X + Y = 18.3) - (X + Z = 15.6)$

$X - X + Y - Z = 18.3 -15.6$

$Y - Z = 18.3 -15.6$

$Y - Z = 2.7$ ---- Equation 4

Add Equation 4 to Equation 3

$(Y - Z = 2.7) + (Z + Y = 13.9)$

$Y + Y - Z + Z = 2.7+ 13.9$

$2Y = 2.7+ 13.9$

$2Y = 16.6$

Divide both sides by 2

$\frac{2Y}{2} = \frac{16.6}{2}$

$Y = \frac{16.6}{2}$

$Y = 8.3cm$

Substitute $Y = 8.3cm$ in Equation 2 and 3

$X + Y = 18.3$ ----- Equation 2

$X + 8.3 = 18.3$

Subtract 8.3 from both sides

$X + 8.3 - 8.3 = 18.3 - 8.3$

$X = 18.3 - 8.3$

$X = 10cm$

$Z + Y = 13.9$ ----- Equation 3

$Z + 8.3 = 13.9$

Subtract 8.3 from both sides

$Z + 8.3 - 8.3 = 13.9 - 8.3$

$Z = 13.9 - 8.3$

$Z = 5.6cm$

So, we have that

$X = 10cm$

$Y = 8.3cm$

$Z = 5.6cm$

The question states that the 4th tower is made up of the three shapes;

This implies that;

$Tower 4 = X + Y + Z$

$Tower 4 = 10cm + 8.3cm + 5.6cm$

$Tower 4 = 23.9cm$

The height of the 4th tower is 23.9cm

8 0

3 years ago

Which equation applies the associative property of multiplication?

ohaa [14]

Answer:

5 0

3 years ago

What is 2,912 rounded to the nearest thousand

FrozenT [24]

Answer:

3,000

Step-by-step explanation:

Find the number in the thousand place 2 and look one place to the right for the rounding digit 9 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .

5 0

4 years ago

Read 2 more answers

1/3÷7 3/4 dividing fraction

Ede4ka [16]

Answer:

4/93 or 0.04301075...

Step-by-step explanation:

Reduce the expression by cancelling the common factors

6 0

3 years ago

8x−5x+4−x=Ax+8. Anyone know

lora16 [44]

Answer:

a = $\frac{2x-4}{x}$

x = $\frac{4}{-a+2}$

Step-by-step explanation:

Let's solve for a.

8x−5x+4−x=ax+8

Step 1: Flip the equation.

ax+8=2x+4

Step 2: Add -8 to both sides.

ax+8+−8=2x+4+−8

ax=2x−4

Step 3: Divide both sides by x.

Let's solve for x.

8x−5x+4−x=ax+8

Step 1: Add -ax to both sides.

2x+4+−ax=ax+8+−ax

−ax+2x+4=8

Step 2: Add -4 to both sides.

−ax+2x+4+−4=8+−4

−ax+2x=4

Step 3: Factor out variable x.

x(−a+2)=4

Step 4: Divide both sides by -a+2.

Hope this helps!

brainliest?

6 0

2 years ago