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Leni [432]
2 years ago
13

What is his help me please

Mathematics
1 answer:
Gennadij [26K]2 years ago
8 0
The answer would be b pretty sure
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Let T be the plane-2x-2y+z =-13. Find the shortest distance d from the point Po=(-5,-5,-3) to T, and the point Q in T that is cl
GaryK [48]

Answer:

d=10u

Q(5/3,5/3,-19/3)

Step-by-step explanation:

The shortest distance between the plane and Po is also the distance between Po and Q. To find that distance and the point Q you need the perpendicular line x to the plane that intersects Po, this line will have the direction of the normal of the plane n=(-2,-2,1), then r will have the next parametric equations:

x=-5-2\lambda\\y=-5-2\lambda\\z=-3+\lambda

To find Q, the intersection between r and the plane T, substitute the parametric equations of r in T

-2x-2y+z =-13\\-2(-5-2\lambda)-2(-5-2\lambda)+(-3+\lambda) =-13\\10+4\lambda+10+4\lambda-3+\lambda=-13\\9\lambda+17=-13\\9\lambda=-13-17\\\lambda=-30/9=-10/3

Substitute the value of \lambda in the parametric equations:

x=-5-2(-10/3)=-5+20/3=5/3\\y=-5-2(-10/3)=5/3\\z=-3+(-10/3)=-19/3\\

Those values are the coordinates of Q

Q(5/3,5/3,-19/3)

The distance from Po to the plane

d=\left| {\to} \atop {PoQ}} \right|=\sqrt{(\frac{5}{3}-(-5))^2+(\frac{5}{3}-(-5))^2+(\frac{-19}{3}-(-3))^2} \\d=\sqrt{(\frac{5}{3}+5))^2+(\frac{5}{3}+5)^2+(\frac{-19}{3}+3)^2} \\d=\sqrt{(\frac{20}{3})^2+(\frac{20}{3})^2+(\frac{-10}{3})^2}\\d=\sqrt{\frac{400}{9}+\frac{400}{9}+\frac{100}{9}}\\d=\sqrt{\frac{900}{9}}=\sqrt{100}\\d=10u

7 0
3 years ago
The box plots represent the ages of pennies in two 50-cent rolls. By looking at the plots, Beth says that the two means are abou
Neporo4naja [7]

Answer:

D)She may not be correct because means cannot be determined from Box plots.

Step-by-step explanation:

Box plot -Boxplot is a way to show the spread and centers of a data setboxplot and also called a box and whisker plot,

Box plot tells us about :

1) Mininmum value

2) 25th Percentile value

3)Median

4) 75th Percentile value

5)Maximum value

6) Interquartile Range

Now we are given that By looking at the plots, Beth says that the two means are about 5 years apart.

So,Option D is true

She may not be correct because means cannot be determined from Box plots.

6 0
3 years ago
Read 2 more answers
Camille uses 7.9 pints of blue paint and white paint to paint her bedroom walls. 1/4 of this amount is blue paint, and the rest
Mila [183]
First you do 7.9/ 1/4, that gets you 1.975. that is how much blue paint there is. Then you do 7.9-1.975= 5.925, which is how much white paint she used. So in total she used 1.975 pints of blue paint, and 5.925 pints of white paint.
7 0
3 years ago
Please help! I will mark brainliest! Random answers will be reported.
pantera1 [17]

Answer:D’ (0, -1)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Estimate the sum of 196 + 482
pshichka [43]
The estimated sum of 196 and 482 is 700.

We do estimates when we do mental calculation. We relate the number to the nearest number that can easily be computed mentally.

196 is near 200 so we round it up to 200
482 is near 500 so we round it up to 500

Thus, 200 + 500 = 700.

700 is the estimated sum.
5 0
3 years ago
Read 2 more answers
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