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pav-90 [236]
3 years ago
6

Find the approximate distance between (-5, 8) and (10, -7). Round your answer to two decimal places.

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-5,8)(10,-7)

d = sqrt (10 - (-5)^2 + (-7 - 8)^2
d = sqrt (10 + 5)^2 + (- 15^2)
d = sqrt (15^2) + (-15^2)
d = sqrt 225 + 225
d = sqrt 450
d = 21.21
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a marrow plants 0.5 m long. every week it grows by 20%. a find the value of the common ratio. b calculate how long the plant is
OLga [1]

Answer:

The common ratio is 1.2.

After 12 weeks the plant will be 4.46 meters long.

After one year the plant will be 6,552.32 meters long.

Step-by-step explanation:

Given that a marrow plants 0.5 m long and every week it grows by 20%, to find the value of the common ratio, calculate how long the plant is after 12 weeks and comment on the predicted length of the marrow after one year must be performed the following calculations:

0.50 x 1.2 ^ X = Y

Therefore, the common ratio is 1.2.

0.50 x 1.2 ^ 12 = Y

0.50 x 8.916 = Y

4.4580 = Y

Therefore, after 12 weeks the plant will be 4.46 meters long.

0.50 x 1.2 ^ 52 = Y

0.50 x 13,104.63 = Y

6,552.32 = Y

Therefore, after one year the plant will be 6,552.32 meters long.

5 0
3 years ago
what is the difference between the smallest six digit whaole number and the greatest 4 digit whole number
kompoz [17]
The smallest 2 digit whole number is 10 The smallest 2 digit odd whole number is 11
4 0
3 years ago
Fill in the blank. In the triangle below, y=__. Round your answer to two decimal places.
Kobotan [32]
To solve this we use trigonometric functions that would relate the hypotenuse y and the given values. For this case we use cosine function which is expressed as:

cosine theta = adjacent side / hypotenuse
cosine 52 = 35 / y
y = 35 / cos 52
y = 56.85
7 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through (1,2) and is perpendicular to the line y= 1/3x+4
zvonat [6]

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction(switch the numerator and the denominator))

For example:

Slope = 2 or \frac{2}{1}

Perpendicular line's slope = -\frac{1}{2}   (flip the sign from + to -, and flip the fraction)

Slope = -\frac{3}{4}

Perpendicular line's slope = \frac{4}{3}  (flip the sign from - to +, and flip the fraction)

y = 1/3x + 4        The slope is 1/3, so the perpendicular line's slope is -\frac{3}{1} or -3.

Now that you know the slope, substitute/plug it into the equation:

y = mx + b

y = -3x + b       To find b, plug in the point (1, 2) into the equation, then isolate/get the variable "b" by itself

2= -3(1) + b     Add 3 on both sides to get "b" by itself

2 + 3 = -3 + 3 + b

5 = b

y = -3x + 5

5 0
3 years ago
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ohaa [14]

Answer:

-2c - 4w

Step-by-step explanation:

Combine like terms (-8c and 6c are alike and w and -5w are alike)

-8 + 6 = -2

1 + -5 is -4

Put the variables back together and put it into an expression.

5 0
3 years ago
Read 2 more answers
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