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FrozenT [24]
3 years ago
9

Which is the equation for the line perpendicular to y = –x + 11 and containing P(–2, 3)? a. y – 2 = –(x – 3) b. y = –x+ 4 c. y =

–x + 4 d. y = x + 4
Mathematics
1 answer:
Vadim26 [7]3 years ago
5 0
Perpendicular has slope that multiplies to -1
y=mx+b
m=slope
y=-1x+11
-1 times what=-1?
what=1

y=x+b
find b
given
(-2,3)
(x,y)
inpus -2 for x and 3 for y
solve for b
3=1(-2)+b
3=-2+b
add 2 to both sides
5=b

y=x+5 is equation
not listed, but the choices are all wrong
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Lin runs 5 laps around a track in 8 minutes. If Lin runs 21 laps at the same rate, how long does it take her?
uranmaximum [27]

Answer: 25

Step-by-step explanation:

it would take her 25 min

4 0
3 years ago
Which of these numbers are irrational? A) 4.3 B) -5/9 C) 1.618 D) _/6
gavmur [86]

Answer: Its C

Step-by-step explanation:

Well, this irrational, or never-ending, ratio starting with 1.618 has been given many names over the years including the “golden ratio” and the “divine proportion”.

0verall what im trying to say is, its c

4 0
3 years ago
A thermos in the shape of a cylinder is filled with coffee. The height of the cylinder is 12 inches and its radius is 2 inches.
serg [7]

Answer:

The  volume of coffee in the thermos is 150.72 inches³ .

Step-by-step explanation:

Formula

Volume\ of\ a\ cylinder = \pi r^{2}\ h

Where r is the radius and h is the height .

As given

A thermos in the shape of a cylinder is filled with coffee.

The height of the cylinder is 12 inches and its radius is 2 inches.

As

\pi = 3.14

Put all the value in the formula

Volume\ of\ a\ cylinder = 3.14\times 2\times 2\times 12

                                              =  150 .72 inches ³

Therefore the volume of coffee in the thermos is  150 .72 inches ³ .

3 0
3 years ago
Identify intervals on which the function is increasing, decreasing, or constant. G(x)= 1-(x-7)^2
Arturiano [62]
Calculation of relative maxima and minima of a function f (x) in a range [a, b]:
 We find the first derivative and calculate its roots.
 We make the second derivative, and calculate the sign taken in it by the roots of the first derivative, and if:
 f '' (a) <0 is a relative maximum
 f '' (a)> 0 is a relative minimum
 Identify intervals on which the function is increasing, decreasing, or constant. G (x) = 1- (x-7) ^ 2
 First derivative
 G '(x) = - 2 (x-7)
 -2 (x-7) = 0
 x = 7
 Second derivative
 G '' (x) = - 2
 G '' (7) = - 2 <0 is a relative maximum
 answer:
 the function is increasing at (-inf, 7)
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4 0
3 years ago
00 pts
777dan777 [17]

Answer:

a_n=6\cdot (-1)^n

Step-by-step explanation:

<u>Alternating Sequences</u>

A sequence whose terms alternate in the sign is called an alternating sequence.

The given sequence consists of the numbers -6 and 6 in infinite alternation.

Such sequences can be expressed as equations of the form

a_n=a\cdot (-1)^m

Where a is the constant absolute value of each term and m is an expression adequately arranged to reproduce the alternation of signs.

Since the sign is minus for odd terms, and plus for even terms, m=n is a good expression for m. Thus:

a_n=6\cdot (-1)^n

5 0
3 years ago
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