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Pani-rosa [81]
3 years ago
8

Which describes the slope of the given line? zero undefined positive negative

Mathematics
1 answer:
Delvig [45]3 years ago
8 0
The answer is negative
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What is the perimeter of a polygon with verticals at (-1, 3) , (-1, 6) , (2, 10) , (5, 6) , and (5, 3)
Marat540 [252]

Answer:

22 units

Step-by-step explanation:

The perimeter of a polygon is said to be the sum of the length of it's sides.

From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are

A = (−1, 3)

B = (−1, 6) ​

C = (2, 10)

D = (5, 6) ​​

E = (5, 3) ​

To find the distance between two points, we use the formula

d = √[(y2 - y1)² + (x2 - x1)²]

Between A and B, we have

d(ab) = √[(6 - 3)² + (-1 --1)²]

d(ab) = √(3²) + 0

d(ab) = √9 = 3

Between B and C, we have

d(bc) = √[(10 - 6)² + (2 --1)²]

d(bc) = √[4² + 3²]

d(bc) = √(16 + 9) = √25 = 5

Between C and D, we have

d(cd) = √[(6 - 10)² + (5 - 2)²]

d(cd) = √[(-4)² + 3²]

d(cd) = √(16 + 9) = √25 = 5

Between D and E, we have

d(de) = √[(3 - 6)² + (5 - 5)²]

d(de) = √(-3)² + 0

d(de) = √9 = 3

Between E and A, we have

d(ea) = √[(3 - 3)² + (5 --1)²]

d(ea) = √[0 + (6)²]

d(ea) = √36 = 6

The perimeter is given as

d(ab) + d(bc) + d(cd) + d(de) + d(ea) =

3 + 5 + 5 + 3 + 6 = 22 units

7 0
2 years ago
*PLEASE ANSWER DIFFICULT QUESTION* What is the area of the polygon?
LenaWriter [7]

Answer:

Option 4, 64 cm^2

Step-by-step explanation:

The polygon in the shape of a star can be made to be easier to find the area of by cutting it into triangle. For all the "point edges" of the star, we can cut them in half from the vertex to create two right-angled triangles at each edge.

The formula of the area of a triangle is bh/2: the height is given as 6cm, the base is 4cm /2 (after you cut it in half) and so is 2 cm. Since the edges can be cut into two, there are 8 right angled triangles at the edges in total.

To find the area of them:

A=8(bh/2)=8(2*6/2)=48 cm^2

However, we are still missing the part at the centre we haven't found the area of, the square. The area of a square is given by the square of the side length(4cm). Thus, A=4*4=16cm^2

Adding the areas of all the edges and the square:

48 + 16 = 64cm^2

Hence, the area of the polygon is 64cm^2

5 0
3 years ago
Read 2 more answers
I am having the hardest time trying to solve this equation, can someone please help? It's Geometry's line segments.
SIZIF [17.4K]

Answer:

KL = 6

Step-by-step explanation:

IJ + JK  +KL = IL

9+ 11 + KL = 26

Combine like terms

20 + KL = 26

Subtract 20 from each side

20+KL -20 =26-20

KL = 6

5 0
2 years ago
For questions 1-6, let U={0,1,4,9,16,25,36,49,64,81}, A={0,9,16,36,64}, and B={1,9,25,49,81}.
sweet [91]

Answer:Q.2 Does

Step-by-step explanation:

6 0
2 years ago
Write the equation of the line which contains all images of point C.
Elena-2011 [213]

Answer:

A. y = \frac{1}{4}x - 2

Step-by-step explanation:

7 0
3 years ago
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