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mrs_skeptik [129]
2 years ago
7

The length of a rectangle is 4

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
4 0

Answer:

w=16, L=20

Step-by-step explanation:Length(L)=w+4

P=72

P=2L+2w

P=2(w+4)+ 2w

P=2w+8+2w

72=4w+8

4w=72-8

4w=64(/4)

w=16

L=16+4=20

Verification: 16+16+20+20=72

                      32+40=72

                      72=72 (T)

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Answer:

-6 meters.

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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.

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