3 years ago

Solve for x in simplest radical form. 2x2 + 2x + 4 = x2 + 6x + 5

Mathematics

1 answer:

devlian [24]3 years ago

7 0

Answer:

x= √2 - 2 + √5-4√2, √2-2 - √5-4 √2

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Mario’s company makes unusually shaped imitation gemstones. One gemstone has 14 faces and 10 vertices. How many edges does the g

Ivan

The gemstone has 22 edges.

We use Euler's formula on this:

F + V - E = 2

Substituting our information, we have:

14 + 10 - E = 2

Combining like terms,
24 - E = 2

Subtract 24 from both sides:
24 - E - 24 = 2 - 24
-E = -22

Divide both sides by -1:
-E/-1 = -22/-1
E = 22

3 0

3 years ago

Twenty percent of a number is 14. find the number

7nadin3 [17]

The answer is: 70 .
___________________________________________
Explanation:
_________________________________

(20/100) x = 14; solve for "x".

(20/100) = 2/10 = 1/5 ;

(1/5) x = 14

x/5 = 14 ;

x = 14 * 5 ;

x = 70 . The answer is: 70 .
___________________________________

5 0

3 years ago

Read 2 more answers

A parallelogram has sides of length 16 units and 10 units. The shorter diagonal is 11 units. Find the measure of the longer diag

lord [1]

The measure of the longer diagonal is 24.31 units

<h3>How to determine the longer diagonal?</h3>

The side lengths are given as;

a = 16

b = 10

The shorter diagonal is represented as d1, and it is given as

d1 = 11

The longer diagonal is represented as d2, and it is calculated using

d1^2 + d2^2 = 2 * (a^2 + b^2)

Substitute the known values in the above equation

11^2 + d2^2 = 2 * (16^2 + 10^2)

Evaluate the sum

121 + d2^2 =2 * 356

Evaluate the product

121 + d2^2 = 712

Subtract 121 from both sides

d2^2 = 591

Take the square root of both sides

d2 = 24.31

Hence, the measure of the longer diagonal is 24.31 units