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Levart [38]
3 years ago
12

Given: M(-4,-1), B(-5,-3) find the midpoint

Mathematics
2 answers:
lianna [129]3 years ago
8 0
Midpoint formula : (x1 + x2) / 2 , (y1 + y2) / 2
(-4,-1).....x1 = -4 and y1 = -1
(-5,-3)....x2 = -5 and y2 = -3
now we sub
m = (-4 - 5) / 2 , (-1 - 3) / 2
m = (-9/2 , -4/2)
m = (-9/2 , -2) <===
Dmitry [639]3 years ago
4 0
\bf \textit{middle point of 2 points }\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;M&({{ -4}}\quad ,&{{ -1}})\quad &#10;%  (c,d)&#10;B&({{ -5}}\quad ,&{{ -3}})&#10;\end{array}\qquad&#10;%   coordinates of midpoint &#10;\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)&#10;\\\\\\&#10;\left(\cfrac{{{ -5}}-4}{2}\quad ,\quad \cfrac{-3-1}{2} \right)
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A company sells cookies in 250-gram packs. When a particular batch of 1,000 packs was weighed, the mean weight per pack was 255
AURORKA [14]
Let X be a random variable representing the weight of a pack of cookies.
P(X < 250) = P(z < (250 - 255)/2.5) = P(z < -5/2.5) = P(z < -2) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275 = 2.3%

Therefore, we conclude that about 2.3% of the packs weighed less than 250 grams.
7 0
2 years ago
For how many integers $n$ is it true that $\sqrt{n} \le \sqrt{4n - 6} &lt; \sqrt{2n + 5}$?
ale4655 [162]

\bf \sqrt{n}\leqslant \sqrt{4n-6}

\bf \sqrt{n}< \sqrt{2n+5}\implies \stackrel{\textit{squaring both sides}}{n< 2n+5}\implies 0\leqslant 2n - n + 5 \\\\\\ 0 < n+5\implies \boxed{-5 < n} \\\\\\ \stackrel{-5\leqslant n < 2}{\boxed{-5}\rule[0.35em]{10em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}2}


namely, -5, -4, -3, -2, -1, 0, 1.  Excluding "2" because n < 2.

6 0
3 years ago
The cup, on the 9th hole of a golf course, is located, dead center, in the middle of a circular green, which is 35 feet in radiu
ale4655 [162]

Answer:

± 27.33 ft

Step-by-step explanation:

For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:

(-50-0)/(-40-0) = 50/40 = 1.25

Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.

Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);

-0.8 = y/x

y = -0.8x

Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:

35^2 = x^2 + y^2

y = -0.8x

35^2 = x^2 + (-0.8x)^2

1225 = (x^2 + 0.64x^2)

1225 = 1.64x^2

x^2 = 1225/1.64 = 746.95

x = sqrt(746.95) = ± 27.33 ft

5 0
3 years ago
Is the answer English?
Vesnalui [34]
Yes indeed it is. Your correct
3 0
3 years ago
(PLEASE ANSWER + BRAINLIEST!!)
Licemer1 [7]
The answer is x=20.  Hope this helps.
8 0
3 years ago
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