1.) The following figures are congruent. What side corresponds to side CD?

3. Assume all angles are right angles. What is the area of the figure? 12 m 8 m 10 m 16 m 12 m 12 m 1536 square meters b. 408 sq

Svetach [21]

C. 360 Square meters

........

3 0

3 years ago

Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numera

bija089 [108]

Answer:

a) {2/n²-7/n+9}/{8+2/n-6/n²}

b) 9/8

c) The sequence converges

Step-by-step explanation:

Given the limit of the function

limn→[infinity]2−7n+9n²/8n²+2n−6

To simplify the function given, we will have to factor out the highest power of n which is n² from the numerator and the denominator. The function will then become;

2−7n+9n²/8n²+2n−6

= n²{2/n²-7/n+9}/n²{8+2/n-6/n²}

The n² at the numerator will then cancel out the n² at the denominator to have resulting simplified equation as;

{2/n²-7/n+9}/{8+2/n-6/n²}

Evaluating the limit of the resulting equation will give;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

Note that limn→[infinity] a/n = 0 where a is any constant.

Therefore;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

= (0-0+9)/(8+0-0)

= 9/8

Since the limit of the sequence gives a finite value which is 9/8, thus the sequence in question is a convergent sequence.

The limit of a sequence only diverges if the limit of such sequence is an infinite value.

5 0

3 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

dlinn [17]

Answer and Step-by-step explanation:

Mandy travels more miles.

We determine this by multiplying the distance from home by the number of trips.

For Mandy, she lives 10 miles away from school, and takes 9 trips. 9 times 10 is 90 miles.

For Matt, he lives 8 miles away from school, and takes 11 trips. 11 times 8 is 88 miles.

Many travels 2 more miles in total than Matt.

#teamtrees #PAW (Plant And Water)

5 0

3 years ago

Determine whether the situation is linear or nonlinear, and proportional or nonproportional

Arlecino [84]

Answer:

linear and non-proportional

Step-by-step explanation:

When the same amount is added each week, the relationship is linear. When the initial value is 50, not zero, the relationship is non-proportional.

6 0

3 years ago

The point-slope form of the equation of a line that passes through points (8,4) and (0, 2) is y-

Oksi-84 [34.3K]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

$y = mx + b$