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Viefleur [7K]
2 years ago
9

Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show your work.

Mathematics
1 answer:
MatroZZZ [7]2 years ago
4 0
Acute. This is the right answer
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3 years ago
Read 2 more answers
Mr. Mole left his burrow and started digging his way down at a constant rate. Time (minutes) Altitude (meters) 666 -20.4−20.4min
Juli2301 [7.4K]

Answer:

-6 meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes)     Altitude (meters)

6                                   -20.4

9                                   -27.6

12                                   -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

m=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 represents difference of two y-coordinates,

x_2-x_1 represents difference of two corresponding x-coordinates of y-coordinates.

Let (6,-20.4) be (x_1,y_1) and (9,-27.6) be (x_2,y_2).

m=\frac{-27.6-(-20.4)}{9-6}

m=\frac{-27.6+20.4}{3}

m=\frac{-7.2}{3}

m=-2.4

Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

y=mx+b, where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting m=-2.4 and coordinates of point (6,-20.4), we will get:

-20.4=-2.4(6)+b

-20.4=-14.4+b

-20.4+14.4=-14.4+14.4+b

-6=b

Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is -6 meters.

6 0
2 years ago
Read 2 more answers
Perimeter of quadrilateral
aleksandr82 [10.1K]

Answer:

The answer to your question is:  14 + 2√40  = 26.6 units

Step-by-step explanation:

Data

A ( -5, 4)     B (-3, -2)     C (4, -2)     D (2, 4)

Formula

d = √(x2 - x1)² + (y2 - y1)²

Perimeter = dAB + dBC + dCD + dAD

Process

dAB = √(-3 + 5)² + (-2 - 4)²

dAB = √(2)² + (-6)²

dAB = √4 + 36

dAB = √40 units

dBC = √(4 + 3)² + (-2 + 2)²

dBC = √(7)²

dBC = √49

dBC = 7 units

dCD = √(2 - 4)² + (4 + 2)²

dCD = √(2)² + (6)²

dCD = √40 units

dAD = √(2 + 5)² + (4 - 4)²

dAD = √49

dAD = 7 units

Perimeter = √40 + 7 + √40 + 7

Perimeter = 14 + 2√40  = 26.6 units

3 0
3 years ago
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