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3 years ago

Point P(2, 3) is reflected across the y-axis to create point P'. Determine the quadrant of the image.

Mathematics

2 answers:

Gnoma [55]3 years ago

7 0

The reflection of P(2, 3) across the y-axis has the coordinate P'(-2,3)

& it is located in the 2nd quadrant

Anarel [89]3 years ago

4 0

Answer:

2nd quadrant.

Step-by-step explanation:

The given point is P(2,3). This is in 1st quadrant.

Now, this point is reflected across the y-axis.

When we reflect this point p about the y-axis then the y -coordinate remains same but the x- coordinate will be the negative of previous one.

Therefore, the coordinate of the point after reflection is P'(-2,3)

Here x coordinate is negative and y coordinate is positive.

Hence, the point P'(-2,3) is in 2nd quadrant.

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A bouncing ball reaches a height of 54 inches at its first peak, 36 inches at its second peak, and 24 inches at its third peak.

sesenic [268]

Answer:

f(x) = 54(two-thirds) Superscript x minus 1

Step-by-step explanation:

Given that:

First peak : 36 / 54=2/3

Second peak : 24 / 36 = 2/3

The common ratio here is 2/3 ; which mean each bounce height is 2/3 of previous height

Modeling this using geometric progression :

An=a1r^(n-1)

An = nth term of a geometric progression

a1=first term

r=common ratio = 2/3

n = nth term

a1=54

Substituting into the above formular :

An=54(2/3)^(n-1)

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2 years ago

Read 2 more answers

Whats the Answer y=10 4x-5y=3

nikdorinn [45]

4x-5y=3
4x-5(10)=3
4x-50=3
+50 +50
4x=53
/4 /4

x=53/4

6 0

3 years ago

Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges This was 1350 g more than the weight of bananas bridges what was

victus00 [196]

Answer: 3600 grams

Step-by-step explanation:

A dekagram means 10 grams.

1 kilogram = 1000 grams

Therefore the total number of grams when Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges will be:

= (1.8 × 1000) + (315 × 10)

= 1800 + 3150

= 4950 grams

Since this was 1350g more than the weight of bananas, the weight of the bananas Antonio purchased in grams will be:

= 4950 - 1350

= 3600 grams

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3 years ago

Which graph represents the solution set of the system of inequalities?

lidiya [134]

$y < \dfrac{2}{3}x\\\\y=\dfrac{2}{3}x\\\\for\ x=0\to y=\dfrac{2}{3}(0)=0\to(0,\ 0)\\\\for\ x=3\to y=\dfrac{2}{3}(3)=2\to(3,\ 2)\\\\y\geq-x+2\\\\y=-x+2\\\\for\ x=0\to y=-0+2=2\to(0,\ 2)\\\\for\ x=2\to y=-2+2=0\to(2,\ 0)$

$y < \dfrac{2}{3}x$

the dotted line. shadow under the line

$y\geq-x+2$

solid line. shadow above the line

Answer in the attachment (graph C).

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3 years ago

A = 1,2 ( a + b ) h for h

ozzi

$\dfrac{1}{2}(a+b)h=A\ \ \ \ |\cdot2\\\\(a+b)h=2A\ \ \ \ |:(a+b)\\\\\boxed{h=\dfrac{2A}{a+b}}$

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3 years ago