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alexandr1967 [171]
3 years ago
11

On a coordinate plane, the vertices of a rectangle are (-2,1), (3,1), (-1,-4), and (3,-4). what is the perimeter of the rectangl

e?
Mathematics
1 answer:
Ratling [72]3 years ago
4 0
You can graph the points, then use the distance formula to find each side length. Then just add the sides together.
Distance formula:
d =  \sqrt{(x_2-x_1)^{2} + (y_2-y_1)^2 }
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PLEASE HELP!!
Mariulka [41]
2. 3. 5. are correct

1. and 4. are actually interchanged
6 0
3 years ago
Graph the equation using the slope and y-intercept<br> y = -x + 3
docker41 [41]

Answer:

Slope: −1

y-intercept: (0,3)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please answer both questions and show all work with explanations :) thank you soo much...
torisob [31]

Answer:

1) 109 cm

2) 120 in²

Step-by-step explanation:

A rectangle is a quadrilateral with opposite sides the same length and four (4) right angles. The diagonal, together with two adjacent sides, forms a right triangle. The relationship between side lengths and the diagonal length is given by the Pythagorean theorem. If sides are "a" and "b" and the diagonal is "c", that theorem tells you ...

... c² = a² + b²

1) c² = (60 cm)² + (91 cm)² = 11881 cm²

... c = √11881 cm = 109 cm

2) The perimeter is double the sum of adjacent side lengths, so ...

... 2(a+b) = 46 in

... a + b = 23 in . . . . . divide by 2

The Pythagorean theorem tells you

... a² + b² = (17 in)²

Squaring the equation from the perimeter relation gives ...

... (a + b)² = (23 in)² = a² + 2ab + b²

Subtracting a² + b², we have

... (a² +2ab +b²) - (a² + b²) = (23 in)² -(17 in)²

... 2ab = (529 -289) in² = 240 in² . . . . . simplify

... 240 in²/2 = ab = 120 in² . . . . . area is the product of length and width

_____

We could solve the two equations for a and b to find that there are two possible solutions: (a, b) = (8, 15) or (15, 8). Either way, ab = 8·15 = 120.

7 0
2 years ago
Which equation is equivalent?<br> 4+20=-3x + 8x -11+5<br> 24 =-5x - 6<br> 24 =-5x-16
Anna [14]

Answer:

you should follow this step but this is a different one.just follow the step

Step-by-step explanation:

Simplifying 4(5x + -6) = 16 Reorder the terms: 4(-6 + 5x) = 16 (-6 * 4 + 5x * 4) = 16 (-24 + 20x) = 16 Solving -24 + 20x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 20x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 20x = 16 + 24 20x = 16 + 24 Combine like terms: 16 + 24 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2

4 0
3 years ago
Please answer ASAP! Thank you!
bogdanovich [222]

Answer:

Step-by-step explanation:

Scalene triangle as all angles are of different measurement

7 0
3 years ago
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