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just olya [345]
2 years ago
14

Which is closest to the volume of the rectangular solid below?

Mathematics
1 answer:
Vlada [557]2 years ago
6 0
Well I think it’s 6.98
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Will mark brainliest if you have the full practice answers!!!
dybincka [34]

Answer:

1. D (x-5)^2-(y-2/2)^2=1

2. A

3. C No. The car travels counterclockwise in a circle at the origin with radius 2.

Step-by-step explanation:

8 0
3 years ago
20 points pls help no links
aniked [119]

Answer:

(-15, 13)

Step-by-step explanation:

-3(8x + 9y = -3)

4( 6x + 7y = 1)

-24x - 27y = 9

24x + 28y = 4 (add both equations)

y = 13

6x + 7*13= 1

6x + 91= 1

6x = 1 -91

x = -91/6

x = -15

3 0
3 years ago
Solve the equation. 2/3 - 4x 7/2= -9x+ 5/6 step by step
Lostsunrise [7]

Answer:  \bold{x=\dfrac{11}{21}}

<u>Step-by-step explanation:</u>

\dfrac{2}{3}-\dfrac{4x+7}{2}=-9x+\dfrac{5}{6}\\\\(6)\dfrac{2}{3}-(6)\dfrac{4x+7}{2}=-9x(6)+(6)\dfrac{5}{6}\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=\dfrac{22}{42}\qquad \text{(divided both sides by 42)}\\\\x=\dfrac{11}{21}\qquad \text{(reduced the fraction)}


NOTE: The sign between 4x and 7 is missing in the question you posted.  I assumed it was 4x + 7 in order to solve the equation.

6 0
3 years ago
Read 2 more answers
Consider the line which passes through the point P(−1,-3,5), and which is parallel to the line x=1+7t, y=2+2t, z=3+4t Find the p
bija089 [108]

The given line is parameterized by

x(t) = 1 + 7t

y(t) = 2 + 2t

z(t) = 3 + 4t

and points in the same direction as the vector

d/dt (x(t), y(t), z(t)) = (7, 2, 4)

So, the line we want has parameteric equations

x(t) = -1 + 7t

y(t) = -3 + 2t

z(t) = 5 + 4t

Solve for t when one of x, y, or z is equal to 0 - this will tell you for which value of t the line cross a given plane. Then determine the other coordinates of these intersections.

• x = 0, which corresponds to the y-z plane:

0 = -1 + 7t   ⇒   7t = 1   ⇒   t = 1/7

y(1/7) = -3 + 2/7 = -19/7

z(1/7) = 5 + 4/7 = 39/7

⇒   intersection = (0, -19/7, 39/7)

• y = 0 (x-z plane):

0 = -3 + 2t   ⇒   2t = 3   ⇒   t = 3/2

x(3/2) = -1 + 21/2 = 19/2

z(3/2) = 5 + 12/2 = 11

⇒   intersection = (19/2, 0, 11)

• z = 0 (x-y plane):

0 = 5 + 4t   ⇒   4t = -5   ⇒   t = -5/4

x(-5/4) = -1 - 35/4 = -39/4

y(-5/4) = -3 - 10/4 = -11/2

⇒   intersection = (-39/4, -11/2, 0)

8 0
2 years ago
Which irrational number can be added to Pi to get a sum that is rational?
s2008m [1.1K]

Answer:

letter b

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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