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Zanzabum
3 years ago
12

15 In rectangle PRST, ST and RT are extended as shown in the diagram below. The measure

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0

Answer:

Z PTS = 90°

or, Z PTS = Z PTR + Z PTS

or, 90° = x° + ( 2x - 57 )°

or, 3x° = 90° + 57°

or, 3x° = 147°

or x° = 49°

ans: Z PTR = Z UTV = 49°

Z STU = 180°

or, Z UTV + Z STV = 180°

or, 49° + Z STV = 180 °

or, Z STV = 180° - 49°

= 131°

ans : Z STV = 131°

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What is the general form of the quadratic with vertex at (2, 3) and passing through the point (5, 12)?
ki77a [65]

The general form of the quadratic with vertex at (2, 3) and passing through the point (5, 12) is x²-4x+7.

<h3>What is the vertex form of a quadratic equation?</h3>

Vertex form of the quadratic equation is used to find the coordinate of vertex points at which it crosses its symmetry.

The standard equation of the vertex form of quadratic is given as,

y=a(x-h)^2+k

Here, (h, k) is the vertex point.

The vertex of quadratic at (2, 3) and passing through the point (5, 12). Put the value of vertex point in the above equation,

y=a(x-2)^2+3

As the quadratic passes through the point (5, 12). Thus, put the value of this point,

12=a(5-2)^2+3\\12-3=a(3)^2\\9=a\times9\\a=\dfrac{9}{9}\\a=1

Put the value of <em>a</em> in the above expression,

y=1(x-2)^2+3\\y=(x-2)^2+3\\y=x^2-4x+4+3\\y=x^2-4x+7

Thus, the general form of the quadratic with vertex at (2, 3) and passing through the point (5, 12) is x²-4x+7.

Learn more about the vertex form here;

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3 years ago
Using algebra, describe in two or more complete sentences how to determine if the function is odd.
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Step-by-step explanation:

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A teacher orders 20 copies of a new graphic novel for his class to read. Each of the books weighs the same amount. The total wei
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Each book weighs 1/2 lbs

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3 years ago
The summer has ended and it's time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate
jek_recluse [69]

Answer:

a) -900 L/min

b) 63000 L

c)  -900t +63000

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Step-by-step explanation:

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(t, V) = (20, 45000) and (70, 0)

The rate of change of volume

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b) In the first 20 minutes, the change in volume was

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c) Since we have the slope and the intercept, we can write the equation in slope-intercept form as

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d) now putting the number in the equation and do the arithmetic.

When t=62, the amount remaining is

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Thus, 7200 L remain after 62 minutes.

4 0
3 years ago
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