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3 years ago

Multiply and simplify: y(2x+3y)(2x+3y)

2 answers:

6 0

<span>Simplifying y(2x + 3y)(2x + 3y)

Multiply (2x + 3y) * (2x + 3y) y(2x * (2x + 3y) + 3y * (2x + 3y)) y((2x * 2x + 3y * 2x) + 3y * (2x + 3y))

Reorder the terms: y((6xy + 4x2) + 3y * (2x + 3y)) y((6xy + 4x2) + 3y * (2x + 3y)) y(6xy + 4x2 + (2x * 3y + 3y * 3y)) y(6xy + 4x2 + (6xy + 9y2))

Reorder the terms: y(6xy + 6xy + 4x2 + 9y2)

Combine like terms: 6xy + 6xy = 12xy y(12xy + 4x2 + 9y2) (12xy * y + 4x2 * y + 9y2 * y) (12xy2 + 4x2y + 9y3)</span>

sladkih [1.3K]3 years ago

3 0

2xy+3y^2*2xy+3y^2
3y^2 * 3y^2

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Circle has a radius of 6 cm.

coldgirl [10]

Answer:

d=2r
d=2×6
d=12
circumference =2×pie×r
=2×22/7×6
37.71
SO 37 is the ans

3 0

2 years ago

In circle A below, chord BC and diameter DAE intersect at F. If arc CD = 46° and arc BE = 78°, what is m_BFE? D B А

wel

Given:

Consider the below figure attached with this question.

In circle A below, chord BC and diameter DAE intersect at F.

The arc CD = 46° and arc BE = 78°.

To find:

The measure of angle BFE.

Solution:

According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.

Using intersecting chords theorem, we get

$m\angle BFE=\dfrac{1}{2}(m(arcCD)+m(arcBE))$

$m\angle BFE=\dfrac{1}{2}(46^\circ+78^\circ)$

$m\angle BFE=\dfrac{1}{2}(124^\circ)$

$m\angle BFE=62^\circ$

Therefore, the measure of angle BFE is 62°.

6 0

3 years ago

The perimeter of a kite can be found using the formula P = 2S + 2L. Which equation expresses S in terms of P and L?

zimovet [89]

Answer:

<h2>The answer is A</h2><h2>A. S = 1/2p - L</h2>

Step-by-step explanation:

Step one:

given the perimeter function

P = 2S + 2L

we are expected in this problem to change the subject of the formula to S

Step two:

firstly, let us isolate the term that has S

2S=P-2L

divide both sides by 2

2S/2= (P-2L)/2

S=P/2-L

S = 1/2p - L

5 0

2 years ago

Demi’s last 5 bowling scores were 68, 75, 90, 80. What was Femi’s mean score? A.72 B.75 C.77 D.79 D.

-Dominant- [34]

Complete Question:

Femi's last 5 bowling scores were 68, 75, 72, 90, and 80. What was Femi's mean score?

Answer:

Step-by-step explanation:

Given

Scores: 68, 75, 72, 90, and 80

Required

Determine the mean

The mean (M) of a data is calculated as thus:

$M = \frac{\sum x}{n}$

Where

n = number of data.

In this case,

n = 5

and

$\sum x$ = sum of data

So, the formula becomes

$M = \frac{68 + 75 + 72 + 90 + 80}{5}$

$M = \frac{385}{5}$

$M = 77$

<em>Hence, the mean is 77</em>

5 0

2 years ago

On a coordinate plane, 2 triangles are shown. The first triangle has points M (negative 5, 4), N (negative 2, 3), and L (negativ

worty [1.4K]

Answer:

The rule of the reflection is rx-axis(x, y) → (x, –y) ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection on the axes

If point (x , y) reflected across the x-axis , then its image is (x , -y) , the rule of reflection is rx-axis (x , y) → (x , -y)

If point (x , y) reflected across the y-axis , then its image is (-x , y) , the rule of reflection is ry-axis (x , y) → (-x , y)

In Δ LMN

∵ L = (-4 , 2)

∵ M = (-5 , 4)

∵ N = (-2 , 3)

In ΔL'M'N'

∵ L' = (-4 , -2)

∵ M' = (-5 , -4)

∵ N' = (-2 , -3)

The signs of y-coordinates of the vertices of Δ LMN are changed, that means Δ LMN are reflected across the x-axis

∵ The y-coordinate of L is 2 and the y-coordinate of L' is -2

∵ The y-coordinate of M is 4 and the y-coordinate of M' is -4

∵ The y-coordinate of N is 3 and the y-coordinate of N' is -3

∴ Δ LMN is reflected across the x-axis

∴ The image of point (x , y) is (x , -y)

The rule of the reflection is rx-axis(x, y) → (x, –y)

7 1

3 years ago

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