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3 years ago

Combine the following sets of terms.

Mathematics

1 answer:

DanielleElmas [232]3 years ago

3 0

Let's simplify step-by-step To understand :)

3x2−7x−(x2+3x−9)

Distribute the Negative Sign:

=3x2−7x+−1(x2+3x−9)

=3x2+−7x+−1x2+−1(3x)+(−1)(−9)

=3x2+−7x+−x2+−3x+9

Combine Like Terms:)

=3x2+−7x+−x2+−3x+9

=(3x2+−x2)+(−7x+−3x)+(9)

=2x2+−10x+9

Answer :)

=2x2−10x+9

HOPE THIS HELPS

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Perimeter of sector is 4 times of its radius what is the radian measurre?

german

The radian measures of the central angle of the sector is 2

Given,

In the question:

Perimeter of sector is 4 times of its radius .

To find the radian measures of the central angle of the sector is?

Now, According to the question:

We know:

The perimeter of the circumference is = 2 $\pi$ r

If the perimeter of a sector is 4 times its radius.

then, the arc measure of the sector is (4r-2r) → 2r

So, if 2× $\pi$ radians (full circle) has a length → 2 $\pi$ r

X radians → 2× r (the sector)

X=2× r ×(2× $\pi$ )/(2 $\pi$ r)

X = 2

Hence, The radian measures of the central angle of the sector is 2.

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Step-by-step explanation:

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3 years ago

Qtr is a right triangle TQR is a right triangle QS is an altitude which statements are true

Artemon [7]

Answer:

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4 years ago

What is the value of the expression

Anettt [7]

Hi there! Hopefully this helps!

------------------------------------------------------------------------------------------------------------

<h2>The answer: $\frac{7}{9}$ .</h2><h2 /><h2>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</h2>

$\sqrt[]{2}$ × $\frac{8\sqrt{2} }{3}$ ÷ 3 - 1

First, we<em> express</em> $\sqrt{2}$ × $(\frac{8\sqrt{2}}{3})$ ≈ 5.333333333 as a <u>single fraction</u>.

$\frac{\sqrt{2 \times 8\sqrt{2} } }{\frac{3}{3} } - 1$ ≈ 0.777777778

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now we <em>express</em> $\frac{\sqrt{2 \times 8\sqrt{2} } }{\frac{3}{3} }$ ≈ 1.777777778 as a <u>single fraction</u>.

$\frac{\sqrt{2 \times 8\sqrt{2} } }{3 \times 3} - 1$ ≈ 0.777777778

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<em>Multiply</em> $\sqrt{2}$ ≈ 1.414213562 and $\sqrt{2}$ ≈ 1.414213562 to get 2.

$\frac{2 \times 8}{3 \times 3} - 1$ ≈ 0.777777778

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<em>Multiply</em> 2 and 8 to get 16.

$\frac{16}{3 \times 3} - 1$ ≈ 0.777777778

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<em>Multiply</em> 3 and 3 to get 9.

$\frac{16}{9} - 1$ ≈ 0.777777778

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<u>Convert</u> 1 to fraction $\frac{9}{9} = 1.$

$\frac{16}{9} - \frac{9}{9}$ ≈ 0.777777778

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Since $\frac{16}{9}$ ≈ 1.777777778 and $\frac{9}{9} = 1$ have the <em>same denominator</em>, subtract them by <u>subtracting their numerators</u>.

$\frac{16 - 9}{9}$

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Then you get................

$\frac{7}{9}$

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3 years ago

David is performing the following construction. Based on the markings that are present, what construction is he performing?

lora16 [44]

Answer:

He is bisecting the angle BAC.

Step-by-step explanation:

First he puts the compass point at point A and draws 2 small arcs at D and E. Then he places the compass point at D and then at E to form the 2 arcs that cross between the 2 line segments AB and AC.

The bisector is the line he can draw between A and the crossed arcs.

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4 years ago

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