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Tema [17]
3 years ago
8

Describe each

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0

Problem 1

<h3>The slope of the line is undefined </h3>

because this line is completely vertical. All vertical lines have undefined slopes. The x coordinates are both x = p, so there is no change in the x coordinates. Note how the slope formula below leads to a denominator of 0.

m = (y2 - y1)/(x2 - x1)

m = (-a - a)/(p - p)

m = (-2a)/0

We cannot divide by zero, which is why the slope is undefined.

=====================================

Problem 2

<h3>The equation is simply x = p</h3>

The equation of any vertical line is of the form x = k, where k can be replaced with any number or expression. In this case, we replace k with p. Let's say that p = 9. This would mean x = p updates to x = 9; telling us that we have a vertical line through 9 on the x axis.

=====================================

Problem 3

There is no y intercept if p is not equal to zero. This is because any vertical line is parallel to the y axis. Parallel lines never intersect. The y intercept is where the graph crosses the y axis.

If p = 0, then the entire line overlaps the y axis (yielding infinitely many y intercepts); otherwise, if p is nonzero, then there are no y intercepts.

<h3>The answer to part 3 will depend on the status of p being nonzero or not.</h3>

=====================================

Problem 4

<h3>Answer: 0</h3>

The original line is vertical, so any line perpendicular to this original one will be horizontal. All horizontal lines have a slope of zero.

Example: the horizontal line through (2,3) and (7,3) has a slope of zero as the slope formula below shows

m = (y2 - y1)/(x2 - x1)

m = (3-3)/(7-2)

m = 0/5

m = 0

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2 years ago
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5 0
3 years ago
What is the area of the trapezoid?
ExtremeBDS [4]
<h2>Answer:</h2>

42 square units

<h2>Step-by-step explanation:</h2>

For a better understanding, I add an EFGH Rectangle.

The area of EFGH Rectangle = p x l

The area of EFGH Rectangle = 10 x 8

The area of EFGH Rectangle = 80cm²

The area of BHA Triangle = 1/2 x a x t

The area of BHA Triangle = 1/2 x a x t

The area of BHA Triangle = 1/2 x 6 x 4

The area of BHA Triangle = 2 x 6

The area of BHA Triangle = 12cm²

The area of AGD Triangle = 1/2 x a x t

The area of AGD Triangle = 1/2 x 4 x 2

The area of AGD Triangle = 4cm²

The area of CFD Triangle = 1/2 x a x t

The area of CFD Triangle = 1/2 x 2 x 6

The area of CFD Triangle = 6cm²

The area of BEC Triangle = 1/2 x a x t

The area of BEC Triangle = 1/2 x 8 x 4

The area of BEC Triangle = 4 x 4

The area of BEC Triangle = 16cm²

The area of the trapezoid = EFGH Rectangle - (BHA Triangle + AGD Triangle + CFD Triangle + BEC Triangle)

The area of the trapezoid = 80 - (12 + 4 + 6 + 16)

The area of the trapezoid = 80 - 38

The area of the trapezoid = 42cm²

<h3>Conclusion :</h3>

The area of the trapezoid is <u>42 square units</u>

7 0
2 years ago
The diagram shows the sector of a circle with the centre O and radius 6cm.
cricket20 [7]

Answer:

Area of the shaded region = 1.92 cm²

Step-by-step explanation:

From the picture attached,

Area of the shaded region = Area of the sector OMN - Area of the triangle OMN

Area of sector OMN = \frac{\theta}{360}(\pi r^{2})

Here, θ = Central angle of the sector

r = radius of the sector

Area of sector OMN = \frac{50}{360}(\pi )(6)^2

                                  = 15.708 square cm

Area of ΔOMN = 2(ΔOPN)

Area of ΔOPN = \frac{1}{2}(OP)(PN)

Area of ΔOMN = OP × PN

In ΔOPN,

sin(25°) = \frac{PN}{ON}

PN = ONsin(25°)

     = 6sin(25°)

     = 2.536 cm²

cos(25°) = \frac{OP}{ON}

OP = ONcos(25°)

OP = 6cos(25°)

OP = 5.438 cm

Area of ΔOMN = 2.536 × 5.438

                         = 13.791 cm²

Area of the shaded region = 15.708 - 13.791 = 1.917 cm²

                                             ≈ 1.92 cm²

3 0
3 years ago
Taylor, Jillian, and Gabby are trying to earn enough money to rent a beach house for a week. They estimate that it will cost at
alekssr [168]

Answer:

the money they need (1650$) minus the money they made (600$)

= 1050

1050 divided by 3 = 350

so they each need to make 350$

Step-by-step explanation:

4 0
3 years ago
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