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3 years ago

Three vertices of a square are (-2, 2), (-2, -3), and (3, -3). What is the fourth vertex of the square?

1 answer:

5 0

(-2,2) and (-2,-3) are the bottom vertices, since (3,-3) is the top you can tell that it is the upper left vertex since it lines up with (2,-3), so the fourth vortex would line up with (-2,2) and would therefore be C. (3,2)

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The gas mileage of Car A is 21 miles per gallon. The gas mileage of Car B is 30 miles per gallon. Which of the following graphs

Anna [14]

Answer:

c for plato users;)

Step-by-step explanation:

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3 years ago

Find the area of the semicircle. Round your answer to the nearest hundredth. YEAH IVE BEEN STUCK ON THIS help please I need the

aivan3 [116]

Answer:

your answer will be 127.17 sq in

Step-by-step explanation:

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2 years ago

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For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago

(4m-2) (m2 + 5m - 6)please fast

Masteriza [31]

Answer:

4m3+18m2−34m+12

Step-by-step explanation:

=(4m+−2)(m2+5m+−6)

=(4m)(m2)+(4m)(5m)+(4m)(−6)+(−2)(m2)+(−2)(5m)+(−2)(−6)

=4m3+20m2−24m−2m2−10m+12

3 0

2 years ago

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Which two ratios form a proportion? A 1/ 2 and 4/2 B.2/1 and 4/8 C.1/2 and 8/4 D.2/1 and 16/8

wel

Two ratios form a proportion if they are equal. If one fraction is equivalent to the other fraction, they form a proportion. To find out, reduce both fractions and see if they are equal.

1/2 and 4/2

Reduce 4/2 to 2/1.

1/2 and 2/1 are not equal.

1/2 and 4/2 do not form a proportion.

2/1 and 4/8

Reduce 4/8 to 1/2.

2/1 and 1/2 are not equal.

2/1 and 4/8 do not form a proportion

1/2 and 8/4

Reduce 8/4 to 2/1.

1/2 and 2/1 are not equal.

1/2 and 8/4 do not form a proportion

2/1 and 16/8

Reduce 16/8 to 2/1

2/1 and 2/1 are equal.

2/1 and 16/8 form a proportion.

Answer: D. 2/1 and 16/8

4 0

3 years ago

Read 2 more answers