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anygoal [31]
3 years ago
7

A line segment has endpoints (-5, 10) and (a,b) . If the midpoint of the segment is (13, -2), what is the absolute difference be

tween a and b ?
Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0
If the line segment point is D(-5, 10) and E(a,b) and the  midpoint of the segment is F(13, -2) that mean 
DE= 2*DF

You can directly find the distance of AC 
Xdf= Xf-Xd= 13 - (-5)= 18
Ydf= Yf - Yd= -2 - 10= -12

Then add the distance of AB( which is 2*AC) to point D
Xe= a = Xd + 2*Xdf 
a= -5 +2*18= 31

Ye= b = Yd + 2Yf
b= 10+ 2*-12= -14

<span>absolute difference between a and b:
|b-a|= </span>|-14-31|= 45
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kondor19780726 [428]
The surface S can be parameterized by

\mathbf r(\theta,z)=(2\cos\theta,2\sin\theta,z)

where 0\le\theta\le2\pi and 0\le z\le2. Then the surface integral can be computed with

\displaystyle\iint_S(x^2+y^2+z^2)\,\mathrm dS
\displaystyle=\int_{\theta=0}^{\theta=2\pi}\int_{z=0}^{z=2}(4\cos^2\theta+4\sin^2\theta+z^2)\|\mathbf r_\theta\times\mathbf r_z\|\,\mathrm dz\,\mathrm d\theta=\dfrac{128\pi}3
6 0
3 years ago
What is the volume of the cone below:<br> 5 cm<br> 12 cm<br> 13 cm
maksim [4K]

Answer:

<em>780cm cubed</em>

Step-by-step explanation:

  • <em>if we want to find the volume we would do length x width x height</em>
  • <em>which would be 5 x 12 x 13</em>
  • <em>so we would do 5 x 12 which is 60 </em>
  • <em>then we would do 60 x 13 which equals 780</em>
  • <em>So the answer is 780</em>
  • <em>Since this is volume it would be 780cm cubed</em>
5 0
3 years ago
The next stop on the road trip is the zoo! jacob goes to find his favorite animal, the giraffe. jacob wonders how tall the talle
lapo4ka [179]
1 foot = 12 inches
Height of Jacob = 5 feet 6 inches = 5 *12 + 6 = 66 inches
Jacob's <span>shadow = 3 feet = 36 inches

</span>giraffe's shadow = <span>5 feet 9 inches = 5 * 12 + 9 = 69 inches

</span><span>by the ratio and proportion

∴ </span>Height of Jacob/Jacob's shadow = Height of giraffe/giraffe's shadow

∴ 66/36 = Height of giraffe/69

∴ Height of giraffe = 69 * 66/36 = 126.5 inches = 10 feet 6.5 inches
3 0
3 years ago
Question 71
yuradex [85]

Answer:

given

p=q^3

p=40

______

q=(p)^1/3

q=(40)^1/3-->q=2(5)^1/3

Now

the value of half of q , (2(5)^1/3)÷(2) ,is 5^1/3.

finally the value of p gonna be

p=q^3

p=(5^1/3) ^ 3

p=5

3 0
3 years ago
Read 2 more answers
Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?
lorasvet [3.4K]

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point (15,0):

15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0

So, (15, 0) satisfies all the inequalities

For point (7.5,7.5):

7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in s\geq 15-t

7.5\geq 15-0=15 which is false

So, (s,t)\neq (7.5,0)

7 0
3 years ago
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