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Anon25 [30]
3 years ago
5

What is the perimeter, P, of a rectangle that has a length of x + 6 and a width of y - 1?

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
5 0

Answer: P = 2x + 2y + 10

Step-by-step explanation: The perimeter (P) of a rectangle is given as

P = 2L + 2W

By factorizing the right hand side of the equation we now have

P = 2(L + W)

However, the length of the rectangle is given as x + 6 and the width is given as y - 1

If P = 2(L + W), then

P = 2(x + 6 + {y - 1} )

P = 2(x + 6 + y -1)

P = 2(x + y + 5)

After expanding the bracket, we now have

P = 2x + 2y + 10

Gnom [1K]3 years ago
3 0

Answer:

just took the test the answer is  P = 2x + 2y + 10

Step-by-step explanation:

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Phantasy [73]

Given:

m\angle ABC=60

To find:

The m\angle ADC.

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In circle B, \angle ABC is central angle and \angle ADC is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

m\angle ABC=2(m\angle ADC)         [Central angle theorem]

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6 0
2 years ago
A straight line, L, is perpendicular to the straight line y=2x-1 and passes through the point (8,1). Find an equation of L
luda_lava [24]
Let's call that other line with the eqn. y=2x-1 line M.
This line is in slope-intercept form, which means that it is written in the form y=mx+b where m is the slope and b is the y-intercept.
This means that the slope of line M is 2.

Perpendicular lines have slopes which are opposite reciprocals.
(that is to say, if you flipped the fraction and changed the sign)

Of course, 2 isn't a fraction, but it's implied as 2/1.
The opposite reciprocal would then be -1/2.
Let's plug this into our slope-intercept form equation for line L.

y = mx + b
y = -1/2x + b

Of course, we still need to find that y-intercept. (y when x = 0)
To do this, we need to interpret the slope.
Slopes are rise over run, so m = -1/2 means a change of -1 in y = 2 in x.
Let's take a point we know is in our line, (8, 1).
To find that y-intercept, we want x to be 0.
To do this, we'd have to subtract 8 from x.
And according to our slope, this means adding 4 to y.
Our y-intercept is at (0, 5), with the value b that we use being just 5.

\boxed{y=-\frac{1}2x+5}
7 0
3 years ago
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Lilit [14]
<h3>Answer:</h3>
  1. C. (9x -1)(x +4) = 9x² +35x -4
  2. B. 480
  3. A. P(t) = 4(1.019)^t

Step-by-step explanation:

1. See the attachment for the filled-in diagram. Adding the contents of the figure gives the sum at the bottom, matching selection C.

2. If we let "d" represent the length of the second volyage, then the total length of the two voyages is ...

... (d+43) + d = 1003

... 2d = 960 . . . . . . . subtract 43

... d = 480 . . . . . . . . divide by 2

The second voyage lasted 480 days.

3. 1.9% - 1.9/100 = 0.019. Adding this fraction to the original means the original is multiplied by 1 +0.019 = 1.019. Doing this multiplication each year for t years means the multiplier is (1.019)^t.

Since the starting value (in 1975) is 4 (billion), the population t years after that is ...

... P(t) = 4(1.019)^t

7 0
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