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kakasveta [241]

3 years ago

8

In triangle OPQ, the measure of angle Q= 90 degrees, PO= 97 degrees, OQ= 65 and QP = 72 degrees. What ratio represents the cosin

e of angle O

1 answer:

Arturiano [62]3 years ago

6 0

Answer:

92 degrees

Step-by-step explanation:

well just dived first part then multiply second

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Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0

3 years ago

Moooooore memes aaaaaaaaaaa

Debora [2.8K]

Answer:

the third slide CRACKED me up XDDD

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

If f(1) = 7 and f(n) = 5(n-1) + 2, then f(4) =

Igoryamba

Answer:

17

Step-by-step explanation:

f(n)=5(n-1)+2

f(4)=5(4-1)+2

=5×3+2

=17

hope it helps

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2 years ago

Simplify negative 8 over 3 divided by negative 2 over 6

Art [367]

Answer: The answer is 8

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3 years ago

If Talia’s old bedroom measured 1 feet by 10 feet how much larger or smaller will her new bedroom be ?

ELEN [110]

Is there more to the question

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2 years ago