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bazaltina [42]
3 years ago
14

What is the expanded form of 3x(x+3)^2?

Mathematics
1 answer:
sdas [7]3 years ago
7 0
First: (X+3)(x+3) foil it. Then distribute the 3x among the values and combine like terms
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Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.
Gelneren [198K]

Answer:

(A)Segment EF, segment FG, segment GH, and segment EH are congruent

Step-by-step explanation:

<u>Step 1</u>

Quadrilateral EFGH with points E(-2,3), F(1,6), G(4,3), H(1,0)

<u>Step 2</u>

Using the distance formula

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given E(-2,3), F(1,6)

|EF|=\sqrt{(6-3)^2+(1-(-2))^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}

Given F(1,6), G(4,3)

|FG|=\sqrt{(3-6)^2+(4-1)^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}

Given G(4,3), H(1,0)

|GH|=\sqrt{(0-3)^2+(1-4)^2}=\sqrt{(-3)^2+(-3)^2}=\sqrt{18}=3\sqrt{2}

Given E (−2, 3), H (1, 0)

|EH|=\sqrt{(0-3)^2+(1-(-2))^2}=\sqrt{(-3)^2+(3)^2}=\sqrt{18}=3\sqrt{2}

<u>Step 3</u>

Segment EF ,E (−2, 3), F (1, 6)

Slope of |EF|=\frac{6-3}{1+2} =\frac{3}{3}=1

Segment GH, G (4, 3), H (1, 0)

Slope of |GH|= \frac{0-3}{1-4} =\frac{-3}{-3}=1

<u>Step 4</u>

Segment EH, E(−2, 3), H (1, 0)

Slope of |EH|= \frac{0-3}{1+2} =\frac{-3}{3}=-1

Segment FG, F (1, 6,) G (4, 3)

Slope of |EH| =\frac{3-6}{4-1} =\frac{-3}{3}=-1

<u>Step 5</u>

Segment EF and segment GH are perpendicular to segment FG.

The slope of segment EF and segment GH is 1. The slope of segment FG is −1.

<u>Step 6</u>

<u>Segment EF, segment FG, segment GH, and segment EH are congruent. </u>

The slope of segment FG and segment EH is −1. The slope of segment GH is 1.

<u>Step 7</u>

All sides are congruent, opposite sides are parallel, and adjacent sides are perpendicular. Quadrilateral EFGH is a square

4 0
3 years ago
Read 2 more answers
Guys i’m begging someone help me please!!!!
IRISSAK [1]

Answer:

x= 35

Step-by-step explanation:

supposing we are finding x, we know that the line in the middle is the dimeter. so we know its a semicircle with an arc of 180 degrees. 180-110=70 divide that by two to get x which is 35.

4 0
3 years ago
Read 2 more answers
The minimum wage in 2007 was $7.50. The current minimum wage is $13.00. What is the percent of
Nana76 [90]
2007 $7.50. 100%
2021. $13.00. X%
X=100•13/7.5
X=173.33 %
173.33-100%=73.33%
Rounded to nearest tenth 73.3%
3 0
3 years ago
[PROBABILITY] THERE ARE FOUR PEOPLE IN A ROOM THAT HAVEN'T MET BEFORE. THEY ARE TOLD TO SHAKE HANDS, EXACTLY ONCE, OF EVERY OTHE
Ivahew [28]

Answer:

6

Step-by-step explanation:

Let the 4 people be A, B, C and D. If each of them shakes hands with another person exactly one time then that means

A shakes with B, C and D. So 3 handshakes

B already shakes with A. So B shakes with C and D. 2 handshakes

C already shakes with A and B. So C shakes with D only. 1 handshake.

D already shake hand with all above.

Total handshakes: 3 + 2 + 1 = 6

8 0
3 years ago
Graph the functions f(x) = -6x +2 and g(x) = -22+2 +6 on the same coordinate plane
Juliette [100K]
X=0 and x=2, the first graph is a line, the second graph is logrithmic and there are two points of intersection
4 0
3 years ago
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