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3 years ago

The lines y=-2 and y=-7 are they parallel, perpendicular, or neither?

Mathematics

2 answers:

Vanyuwa [196]3 years ago

7 0

Answer:

parallel

Step-by-step explanation:

An equation of the form

y = k

where k is a number is a horizontal line.

Since both lines have the form y = k, with two different values of k, -2 and -7, these are two different horizontal lines, so they are parallel.

Answer: parallel

alekssr [168]3 years ago

7 0

Answer:

Parallel -inf to inf

Step-by-step explanation:

there is no x value so they never cross

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the figure below shows a circle centre of radius 10 cm the chord PQ=16cm calculate the area of the shaded region

m_a_m_a [10]

Step-by-step explanation:

OPQ originally forms a sector, the formula for sector is

$\frac{x}{360} \pi {r}^{2}$

where x is the degrees of rotation between the two radii.

We know three sides length and is trying to find an angle between the radii so we can use law of cosines which states that

$16 = \sqrt{10 {}^{2} + 10 {}^{2} - 2(100) \times \cos(o) }$

This isn't the standard formula, it's for this problem

$16 = \sqrt{200 - 200 \times \cos(o) }$

$16 = \sqrt{200 - 200 \cos(o) }$

$256 = 200 - 200 \cos(o)$

$56 = - 200 \cos(o)$

$- \frac{7}{25} = \cos(o)$

$\cos {}^{ - 1} ( - \frac{7}{25} ) = \cos {}^{ - 1} ( \cos(o) )$

$106.26 = o$

So we found our angle of rotation, which is 106.26

Now, we do the sector formula.

$\frac{106.26}{360} (100)\pi$

$\frac{10626}{360} \pi$

is the area of sector.

Now let find the area of triangle, we can use Heron formula,

The area of a triangle is

$\sqrt{s(s - a)(s - b)(s - c)}$

where s is the semi-perimeter.

To find s, add all the side lengths up, 10,10,16 and divide it by 2.

Which is

$\frac{36}{2} = 18$

$\sqrt{18(18 - 10)(18 - 10)(18 - 16)}$

$\sqrt{18(8)(8)(2)}$

$\sqrt{(36)(64)}$

$6 \times 8 = 48$

So our area of the triangle is 48. Now, to find the shaded area subtract the main area,( the sector of the circle) by the area of the triangle so we get

$\frac{10626}{360} - 48$

Which is an approximate or

44.73

6 0

2 years ago

The sum of two numbers is 39.Three times the smaller number exceeds the larger number by 81. Find the numbers

Mice21 [21]

Let smaller no be x and bigger be y

x+y=39--(1)
3x=y+81
y=3x-81
y=3(x-27)--(2)

Put it in eq(1)

x+3(x-27)=39
x+3x-81=39
4x=81+39
4x=120
x=30

Now

x+y=39
y=39-30
y=9

The numbers are 9 and 30

7 0

2 years ago

1. (3n+2)(n+3)<br> this is multiplying binomial by a binomial

-Dominant- [34]

Using the distributive property with FOIL:

(3n + 2) ( n + 3)

3n² + 9n + 2n + 6

3n² + 11n + 6

8 0

3 years ago

What is the scale factor?

marissa [1.9K]

Answer:

3/5

Step-by-step explanation:

Scale factor = 9/15 = 3/5

4 0

2 years ago

Read 2 more answers

Plz answer !!! I need your help

just olya [345]

Anything what i can do for you?

5 0

3 years ago