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Lina20 [59]
3 years ago
12

Prove that the value of the expersion y^2-10y+30 can only be a positive number

Mathematics
2 answers:
sergeinik [125]3 years ago
5 0

Answer:

  • See below

Step-by-step explanation:

  • y² - 10y + 30 =
  • y² - 10y + 25 + 5 =
  • (y - 5)² + 5

<u>Since (y - 5)² ≥ 0, the expression above is positve:</u>

  • (y - 5)² + 5 ≥ 5
Alisiya [41]3 years ago
5 0

Your answer is attached with explanation.

Thankyou!

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Do similar triangles always have equal lengths of corresponding sides?
Stels [109]

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

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How do i find the answer for 8.3 * 10 to the power of -4
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You move the decimal four spaces to the left
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Jon increased his trading card collection by 5 cards. He originally had 45 cards. What's the percent increase
Lady_Fox [76]

Answer:

About 11%

Step-by-step explanation:

45 divided by 5 = 9

100 divided by 9 = 11.11111 (It goes on forever)

7 0
3 years ago
HELP!!! A cell phone is 132 mm long and 57 mm wide. What is ratio of the width and length in simplest form.
GalinKa [24]

The ratio of width to length in simplest form is 19 : 44

<em><u>Solution:</u></em>

Given that, A cell phone is 132 mm long and 57 mm wide

Length of cell phone = 132 mm

Width of cell phone = 57 mm

We have to find the ratio of width and length in simplest form

\frac{Width}{Length} = \frac{57}{132}\\\\\text{Reduce to lowest terms }\\\\\frac{width}{length} = \frac{57 \div 3}{132 \div 3}\\\\\frac{Width}{Length} = \frac{19}{44}

In ratio form, we know that,

\frac{a}{b} = a : b

Writing in ratio form, we get

Width : length = 19 : 44

Thus the ratio of width to length in simplest form is 19 : 44

6 0
3 years ago
Identify the equation of the translated graph in general form x^2+y^2=7 for T(-8,4) A. x^2 + y^2 + 16x - 8y + 73 = 0 B. x^2 + y^
Lunna [17]

Answer:

The correct option is A

Step-by-step explanation:

The standard form of equation of circle is written as:

(x - a)² + (y - b)² = r²

Where centers is given as (a,b)

The equation of the circle given in the question is:

x² + y² = 7

If the circle is translated T(-8,4), it means that the centre of translated circle lies at (-8,4).

So standard form of equation of circle is:

(x + 8)² + (y - 4)² = 7

Simplifying the equation:

(x² + 64 + 2(x)(8)) + (y² + 16 - 2(y)(4)) = 7

x² + 64 + 16x + y² + 16 - 8y = 7

x² + y² + 16x - 8y + 80 = 7

x² + y² + 16x - 8y + 80 - 7 = 0

x² + y² + 16x - 8y + 73 = 0

which is the general form of the equation of circle

3 0
3 years ago
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