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Liono4ka [1.6K]
3 years ago
7

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3?

Mathematics
2 answers:
mixer [17]3 years ago
8 0
Pretty sure it's the 3rd answer
Advocard [28]3 years ago
7 0

we know that

the equation of the line into point-slope form is equal to

y-y1=m(x-x1)

In this problem we have

m=\frac{1}{3}

(x1,y1)=(3,2)

Substitute the values

y-2=\frac{1}{3}(x-3)

therefore

the answer is

y-2=\frac{1}{3}(x-3)

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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
Max sprints forward 10 feet and then stops and sprints
Dafna11 [192]

Answer:

10-15= -5

Step-by-step explanation:

max is 5 feet behind from where he started

8 0
3 years ago
The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters. Using this information, triangles can be
ANEK [815]
Well yes, one triangle can be constructed, but you wouldn't recognize it.
One of its angles is 180 degrees and the other two are both zero degrees.

Anybody who looks at it would think it's just a straight line segment, 9 cm long.
7 0
3 years ago
What will be the new position of the given point after rotating 180 about the origin
leva [86]

Answer: a) First quadrant


Step-by-step explanation:

From the given picture, the position of the given point is in third quadrant.

Every point in third quadrant are in the form of (-a,-b), where a and b are any positive numbers [both x and y axis are negative there]

Also after rotation of 180° the point (x,y) will map to (-x,-y)

therefore, after rotation of 180° the point (-a,-b) will map to

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Thus, the coordinate of image point =(a,b)

Since both x and y coordinate of the image are positive therefore it must lie in the first quadrant.

4 0
3 years ago
Read 2 more answers
Solve for x please anyone?
Katen [24]

Answer: x=11

Step-by-step explanation:

The lines are parallel, which you can tell by the two arrows. 4x-8 is a corresponding angle to 3x+3, meaning they are congruent.

4x-8 = 3x+3

x=11

8 0
1 year ago
Read 2 more answers
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