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3 years ago

Brainly what is y = 5x + 8; (2, 16)

Mathematics

1 answer:

REY [17]3 years ago

7 0

Answer:

for finding the parallel line its y= 5x+6

Step-by-step explanation:

for the slope and y intercept its slope+5

y intercept its (0,8)

hopes this helps.

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Find the volume of the solid generated by revolving the region enclosed by the triangle with vertices (1 comma 0 ), (3 comma 2

Troyanec [42]

Answer: Volume = $\frac{20\pi }{3}$

Step-by-step explanation: The washer method is a method to determine volume of a solid formed by revolving a region created by any 2 functions about an axis. The general formula for the method will be

V = $\pi \int\limits^a_b {(R(x))^{2} - (r(x))^{2}} \, dx$

For this case, the region generated by the conditions proposed above is shown in the attachment.

Because it is revolting around the y-axis, the formula will be:

$V=\pi \int\limits^a_b {(R(y))^{2} - (r(y))^{2}} \, dy$

Since it is given points, first find the function for points (3,2) and (1,0):

m = $\frac{2-0}{3-1}$ = 1

$y-y_{0} = m(x-x_{0})$

y - 0 = 1(x-1)

y = x - 1

As it is rotating around y:

x = y + 1

This is R(y).

r(y) = 1, the lower limit of the region.

The volume will be calculated as:

$V = \pi \int\limits^2_0 {[(y+1)^{2} - 1^{2}]} \, dy$

$V = \pi \int\limits^2_0 {y^{2}+2y+1 - 1} \, dy$

$V=\pi \int\limits^2_0 {y^{2}+2y} \, dy$

$V=\pi(\frac{y^{3}}{3}+y^{2} )$

$V=\pi (\frac{2^{3}}{3}+2^{2} - 0)$

$V=\frac{20\pi }{3}$

The volume of the region bounded by the points is $\frac{20\pi }{3}$ .

6 0

4 years ago

Please help me! And get marked as brainlist!

Luda [366]

Answer:

Step-by-step explanation:

a) area of the rectangle = length × breadth

Therefore area should be = 12cm × 6cm

Which should give you the answer 72centimetre squared.

b) area of triangle A = 1/2 × b × h

So that is 1/2 × 3 × 6

Which is 18 centimetres × 1/2

Which is 9 centimetres squared

c) area of triangle B = 1/2 × b × h

So 1/2×3×6=18

Now 1/2×18 should give you 9 centimetres squared

d) therefore the area of the parallelogram = 72+9+9=90 centimetres squared

Therefore the area of the parallelogram is 90 centimetres squared

8 0

3 years ago

NEED ANSWER FAST PLEASE HELP!!!

viktelen [127]

Answer:

Step-by-step explanation:

plug in the coordinates for x and y

6 0

3 years ago

Katy and Jane construct a four-sided wall to surround their castle. The wall has a perimeter of

PilotLPTM [1.2K]

Answer:

The correct length is 34 feet.

Step-by-step explanation:

Let us assume that the wall created is a rectangle ABCD as shown in the attached image.

We know that opposite sides of a rectangle are equal.

Perimeter of a closed figure is calculated by adding all the sides of the figure.

Here, from the figure, the perimeter is : AB + BC + CD + DA

AB and CD are equal to length.

BC and DA are equal to width.

So,

$Perimeter = 2 \times (length + width) ....... (1)$

Here, we are given that perimeter is 100 feet and width = 16 feet

Putting values in equation (1):

$100 = 2 \times (16 + length)\\\Rightarrow 50 = 16 + length \\\Rightarrow length = 34 feet$

Hence, length is 34 feet.

5 0

4 years ago

A youth Basketball has a standard Circumference of 27 inches. An NBA standard ball is 29.5 inches.

Tems11 [23]

Answer: youth: 333.04

NBA: 434.89

difference: 101.85

Step-by-step explanation:

use google formula calc

8 0

3 years ago