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blondinia [14]
2 years ago
13

In the equation y=3x+15 What is the slope and y intercept?

Mathematics
1 answer:
ivanzaharov [21]2 years ago
4 0
The slope is 3 and the y intercept is 15. To know what is know which is the slope you'll find the number you are multiplying x by and the y intercept is what you are adding to the slope.
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Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)
Irina-Kira [14]

Answer:

a) The perimeter of the rectangle =

= 22 units

b) The area of the rectangle

= 30 square units

Step-by-step explanation:

We solve the above question using the formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2, y2)

The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

We have to find the length of the sides

Side A

(-1, -2), (-6, -2)

= √(-6 - (-1))² +( -2 -(-2))²

= √-5² + 0²

= √25

= 5 units

Side B

(-6, -2), (-6, -8)

= √(-6 - (-6))² + (-8 - (-2))²

= √(-6 +6)² + (-8 +2)²

= √0² + -6²

= √36

= 6 units

Side C

(-6, -8), (-1, -8)

= √(-1 - (-6))² +(-8 - (-8))²

= √(-1 + 6)² + (-8 + 8)²

=√ 5² + 0²

= √25

= 5 units

Side D

(-1, -2), (-1, -8)

= √(-1 -(-1))² + (-8 - (-2))²

= √(-1 + 1)² + ( -8 + 2)²

= √0 + -6²

= √0 + 36

= √36

= 6 units

From the above calculation,

Side A = Side C = 5 units

Side B = Side D = 6 units

Hence, this polygon is a quadrilateral called the RECTANGLE.

Therefore:

a) The perimeter of the rectangle =

2L + 2W

= 2(5) + 2(6)

= 10 units + 12 units

= 22 units

b) The area of the rectangle

= Length × Width

= 5 units × 6 units

= 30 square units

4 0
3 years ago
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siniylev [52]

Answer:

t.uy

Step-by-step explanation:

3 0
2 years ago
Mina says triangle A with angles
kotykmax [81]

Answer:

Yes, Mina is correct

Step-by-step explanation:

Let the triangles be A and B

Given

Triangle A:

Angles = 34, 57

Triangle B:

Angles = 89, 57

Required

Is Mina's claim correct?

First, we calculate the third angle in both triangles.

For A:

Third\ Angle = 180 - 34 - 57

Third\ Angle = 89

For B:

Third\ Angle = 180- 89 - 57

Third\ Angle = 34

For triangle A, the angles are: 34, 57 and 89

For triangle B, the angles are: 34, 57 and 89

<em>Since both triangles have the same angles, then by the postulate of AAA (Angle-Angle-Angle), the triangles are similar.</em>

3 0
3 years ago
Express 150% of 60% as a percent.
photoshop1234 [79]

Answer:

0.9 ≈ 90%

Step-by-step explanation:

60% = 60/100

150% of 60% = 150/100 * 60/100

= 9000/10000

= 0.9 ≈ 90%

7 0
3 years ago
Given: 315/1575. Write the prime fractorization of the numerator and the denominator, then write the fraction in lowest terms.
Ne4ueva [31]
The prime factorization of the numerator, 315, is 5 x 3 x 3 x 7. That of the denominator, 1575 is 5 x 5 x 3 x 3 x 7. To convert the fraction to its lowest form, cancel all the factors that appear to both the numerator and denominator. We will be left with 1/5. 
3 0
3 years ago
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