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Allisa [31]
3 years ago
6

Simplify the expression- 3w+8+1–8

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0

Answer:

Step-by-step explanation:

-3w+9-8

=-3w+1

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Help me out please:)
stich3 [128]

Answer:

the answer is

(8.5,13.5)

5 0
3 years ago
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
A package of 5 pairs of insulated socks costs $36.95. What is the unit price of the pairs of socks
Sergeeva-Olga [200]

Hey there! :)

Answer:

$7.39 per pair of socks.

Step-by-step explanation:

Find the price per pair of socks by dividing the total price by the number of socks:

36.95 ÷ 5 = $7.39 per pair of socks.

3 0
3 years ago
Read 2 more answers
Pleaseee answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
dimaraw [331]

Answer:

OS is congruent to SQ

Step-by-step explanation:

4 0
3 years ago
Answer this: 15 cookies to 40 brownies as a ratio in simplest form.
Nutka1998 [239]
Solutions

⇒15 Cookie to 40 brownies can be written as 15:40

⇒15:40 is the ratio we have to simplify

The GCF of 15 and 40 is 5 so we divide them by 5 

15 ÷ 5 = 3
40 ÷ 5 = 8

3:8 is in simplest form



8 0
3 years ago
Read 2 more answers
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