What’s the slope of (2,4) and (4,9)

You are assembling pieces of an iron gate to complete a fence. The finished gate will look like the one below. In order to assem

Flura [38]

Answer: The answers are given below.

Step-by-step explanation: Given that we are assembling pieces of an iron gate to complete a fence. The finished gate will look like the figure as given in the question.

Part 1: We can clearly see in the picture given that pieces 1 and 2 are placed at an angle of 90° to each other. Therefore, the pieces 1 and 2 are perpendicular to each other.

Part 2: Also, it can be seen that in the centre of the gate, the rectangular sections 5 and 6 are placed at an angle of 0° to each other. Therefore, sections 5 and 6 are parallel to each other.

Thus, 1 and 2 are perpendicular; 5 and 6 are parallel to each other.

8 0

2 years ago

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If 20% of a number is 386, what will be 30% of the same number

pav-90 [236]

if the 20% of a number is 386, what will be 30% of the same number

Answer will be 157

4 0

3 years ago

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Write an equation for the line parallel to the given line that contains C<br> C(2,6); y= -4x + 7

MrRa [10]

Answer:

$y=-4x+14$

Step-by-step explanation:

step 1

Find the slope of the given line

we have

$y=-4x+7$

This is the equation of the given line in slope intercept form

The slope is $m=-4$

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

therefore

The slope of the line parallel to to the given line is $m=-4$

step 3

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-4$

$C\ (2,6)$

substitute

$y-6=-4(x-2)$

step 4

Convert to slope intercept form

$y-6=-4(x-2)$

isolate the variable y

$y-6=-4x+8$

$y=-4x+8+6$

$y=-4x+14$

6 0

3 years ago

A closed cylindrical can of fixed volume V has radius r.a) Find the surface area, S, as a function of r.b) What happens to the v

andrey2020 [161]

Answer:

Step-by-step explanation:

This question is incomplete; here is the complete question.

A closed cylindrical can of fixed volume V has radius r. (a) Find the surface area, S, as a function of r. (b) What happens to the value of S approaches to infinity? (c) Sketch a graph of S against r, if V=10 cm³.

A closed cylindrical can of volume V is having radius r and height h.

a). Surface area of a cylinder is given by

S = 2(Area of the circular sides) + Lateral area of the can

S = 2πr² + 2πrh

S = 2πr(r + h)

b). Since surface area is directly proportional to radius of the can

S ∝ r

Therefore, when r approaches to infinity (r → ∞)

c). If V = 10 cm³ Then we have to graph S against r.

From the formula V = πr²h

10 = πr²h

h = $\frac{10}{\pi r^{2}}$

By placing the value of h in the formula of surface area,

S = $2\pi r(r+\frac{10}{\pi r^{2}})$

Now we can get the points to plot the graph,

r -2 -1 0 1 2

S -13.72 -13.72 0 26.28 35.13

7 0

3 years ago

In the diagram provided, line I is parallel to line m. Select which of the following statements could be used to prove that

atroni [7]

<h3>Answer: There is only one answer and it is choice B</h3><h3>Angle 1 and angle 4 are alternate interior angles</h3>

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Explanation

A. This is false because it should be angle 4 + angle 5 = 180 without the angle 6. Adding on angle 6 results in some angle larger than 180. Note how angle 5 = (angle 3)+(angle 6).
B. This is true and useful to showing that the three angles of a triangle add to 180 degrees. This is because you'll use the fact that angles 4, 5 and 6 combine to 180 degrees.
C. While this is a true statement by the exterior angle theorem, it is not useful to the proof. It is better to state that angle 2 and angle 6 are congruent because they are alternate interior angles.
D. Like choice C, it is true but not useful. It's better to say that angle 1 is congruent to angle 4. See choice B above.

Note how it's not enough for a statement to be true. It also needs to be relevant or useful to the context at hand. A more simpler example of this could be stating that x+x = 2x.

8 0

2 years ago