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2 years ago

Now complete the square for 2x^2 + 16x + 3.

Mathematics

1 answer:

o-na [289]2 years ago

4 0

Answer:

To complete the square the equation would be 2(x+4)^2-29

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The dimensions of four rectangles are given below. Which has an area different from the area of each of the other three?

storchak [24]

To determine which of the rectangles has a different area, the areas of the four rectangles must be calculated. The rectangle with a different area is rectangle b

The dimension of the 4 rectangles are:

a. length: 4x and width: 4

b. length: 11 and width: x

c. length: 2 and width: 8x

d. length: 16x and width: 1

The area of a rectangle is:

$Area = Length \times Width$

<u>Rectangle (a)</u>

$Area = 4x \times 4$

$Area = 16x$

<u>Rectangle (b)</u>

$Area = 11 \times x$

$Area = 11x$

<u>Rectangle (c)</u>

$Area = 2 \times 8x$

$Area = 16x$

<u>Rectangle (d)</u>

$Area = 16x \times 1$

$Area = 16x$

Rectangles (a), (c) and (d) have the same area (i.e. 16x) while rectangle (b) has 11x as its area.

Hence, the rectangle with a different area is rectangle (b).

Read more about areas of rectangles at:

brainly.com/question/14383947

7 0

2 years ago

Which number produces a rational answer when added to 0.85

ZanzabumX [31]

The number that produces a rational answer when added to 0.85 is; 193/180

<h3>How to identify rational numbers?</h3>

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.

Now, let us convert 0.85 to a fraction. Thus;

0.85 = 85/100 = 17/20

From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;

17/20 + 2/9 = 193/180

193/180 is a rational number.

The missing options are;

A. 2/9

B. 0.2645751311...

C. √2

Read more about rational numbers at; brainly.com/question/4694420

#SPJ1

3 0

1 year ago

Every Wednesday, Carla runs 2.5 miles. How many feet did she run?

Inessa05 [86]

Answer:

13,200 feet

Step-by-step explanation:

There are 5280 feet in a mile, so multiply 5280 by 2.5

5280*2.5=13,200

So, every Wednesday, she runs 13,200 feet

Hope this helps! :)

7 0

2 years ago

Say you're playing three-card poker; that is, you're dealt three cards in a row at random from a standard deck of 52 cards. What

Brums [2.3K]

Answer:

Step-by-step explanation:

Given

There are 52 cards in total

there are total of 13 pairs of same cards with each pair containing 4 cards

Probability of getting a pair or three of kind card=1-Probability of all three cards being different

Probability of selecting all three different cards can be find out by selecting a card from first 13 pairs and remaining 2 cards from remaining 12 pairs i.e.

$=\frac{52\times 48\times 44}{52\times 51\times 50}$