3 years ago

Do 2 planes intersect at a point all the time?

1 answer:

5 0

No, they can just not intersect, like if you had two pieces of paper, think of them as planes, one can be above the other, aka parallel, so they never intersect.
planes can also intersect as lines.
by the way, i assume the question is about how 2 planes can intersect.

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A cube has a volume of 512 mm^3. If all sides of the cube are divided by 4, what will the resulting volume be?

pshichka [43]

$\bf \textit{volume of a cube}\\\\
V=s^3\qquad \boxed{s=\frac{s}{4}}\implies V=\left( \cfrac{s}{4} \right)^3\implies V=\cfrac{s^3}{4^3}\implies V=s^3\cdot \cfrac{1}{4^3}
\\\\\\
V=s^3\cdot \cfrac{1}{64}\impliedby \frac{1}{64}\textit{ of the original volume, if the original was 512}
\\\\\\
512\cdot \cfrac{1}{64}\implies \cfrac{512}{64}$

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3 years ago

Which polynomial is equivalent to 4n + 5^2

tankabanditka [31]

Answer:

16n^2+40n+25

Step-by-step explanation:

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2 years ago

Solve the system of equations. x + 3y= -8 4x + 4y = 0

Evgesh-ka [11]

Answer:

x = -3

y = 4

Step-by-step explanation:

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2 years ago

What does 2 (p -q) +5 (p+q) equal when p = 7 and q = -2? Answer:

salantis [7]

Answer:

Step-by-step explanation:

Given

2(p - q) + 5(p + q) ← substitute p = 7 and q = - 2 into the expression

= 2(7 - (- 2)) + 5(7 + (- 2))

= 2(7 + 2) + 5(7 - 2)

= 2(9) + 5(5)

= 18 + 25

= 43

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3 years ago

9. Write the slope-intercept form of the equation of the line through the given points. Write answer as y=mx+b. through: (-4, 5)

densk [106]

Answer:

y = -x + 1

Step-by-step explanation:

(-4,5) (1,0)

Find distance through a number line.

Distance(Slope):

(5,-5)

Slope form:

y/x, Apply:

-5/5

Reduce:

-1/1 or -1

To find the y-intercept get x to be at zero and see where y ends. Let's use the point (1,0):

(1,0) use slope -1x to get x to zero:

= (0,1)

y-intercept: (0,1)

Now write in slope-intercept form:

y = mx + b

so,

y = -1x + 1 or y = -x + 1 or y = -1/1x + 1

3 0

3 years ago

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