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3 years ago

The sum of two consecutive odd integers is 236. What is the smaller integer?

2 answers:

5 0

HEY there,

236/2=117

117 enn odd number

117+117=236

1,3,7 are odd number so

hope this helped you

Plz mark brainliest if you want (;

Nonamiya [84]3 years ago

4 0

The answer is 117. Hope this helps and good job :)

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777 x 1200<br>can u help me

Scrat [10]

Answer: 932,400

Step-by-step explanation:777 x 1200

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3 years ago

Given A(2,0) and B(8,4), show that P(3,5) is on the perpendicular bisector of line AB by these 2 methods

Shalnov [3]

1) First we need to find midpoint M of segment AB.

... M = (A+B)/2 = ((2+8)/2, (0+4)/2) = (5, 2)

Then vector AB is B-A = (8-2, 4-0) = (6, 4)

and vector PM is P-M = (3-5, 5-2) = (-2, 3)

The latter has slope that is 3/-2 = -3/2. The former has slope that is 4/6 = 2/3.

The product of these slopes is -1, indicating these vectors are perpendicular.

2) Vector PA is P-A = (3-2, 5-0) = (1, 5).

Vector PB is P-B = (3-8, 5-4) = (-5, 1).

The lengths of both of these vectors are √(1²+5²) = √26.

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4 years ago

Which equation justifies why 9 1/3 = 3 square root of 9?

kozerog [31]

Answer: answer is A

Step-by-step explanation:

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3 years ago

An oil company fills 1/12 of a tank in 1/3 hour. At this rate, which expression can be used to determine how long it will take f

White raven [17]

Answer:

It's C

Step-by-step explanation:

Correct me if i'm wrong.

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3 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago