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13 days ago

What is the maximum number of times two planes can intersect? What is the minimum number of times they can intersect?

1 answer:

8 0

The least number of times that two planes can cross is zero, since parallel planes do not intersect. A good example would be a floor and a ceiling, which run parallel, hence they do not meet. Conversely, if two planes occupy the same space, they can intersect at infinitely many points, as could happen with a line within that plane.

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How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) =

lawyer [4008]

The adjusted equation $g(x)=\frac{1}{x+4}-6$ , indicating that the graph has been altered 4 units leftward and 6 units downward.

Clarification:

The parent equation is $f(x)=\frac{1}{x}$ .

The transformed equation is $g(x)=\frac{1}{x+4}-6$ .

Applying the function transformation rules, it's clear that the parent function $f(x)=\frac{1}{x}$ has been modified into the function $g(x)=\frac{1}{x+4}-6$ .

According to the function transformation rules,

$f(x+b)$ indicates shifting the function b units to the left.

Thus, the transformed function reflects a shift 4 units to the left.

Additionally, from the function transformation rules, we understand that,

$f(x)-b$ indicates shifting the function b units downward.

Consequently, the transformed function mirrors a shift of 6 units downward.

In summary, the adjusted equation $g(x)=\frac{1}{x+4}-6$ , shows the graph shifted 4 units to the left and 6 units downward.

6 0

13 days ago

Read 2 more answers

Choose the correct item from each drop-down menu to factor the trinomial 6y2 + 19y + 15 by grouping.

AnnZ [3877]

Answer: (3y - 5) • (2y - 3)

Step-by-step explanation: 6y2 - 10y - 9y - 15

2.1 Factoring 6y2-19y+15

The leading term is 6y2, with a coefficient of 6.

The middle term is -19y, having a coefficient of -19.

The last term is the constant, which is +15.

5 0

4 days ago

In year 3 it is expected that the total value of clothing sales will reach 32 million if the total value of ASCO sells Remains t

tester [3916]

Answer:

The sales figure for the third year is $[\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%]$ .

Step-by-step explanation:

Since sales data for the second year is unavailable, we denote it as x million.

Year 3's total sales amount to 32 million.

Calculate the sales account for year 3 as follows:

$\text{Percentage of sales for year 3}=\frac{\text{Total Sales in year 3}-\text{Total Sales in year 2}}{\text{Total Sales in year 2}}\times 100\%$

$=\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%$

3 0

12 days ago

Find the slope of a pipe that slopes down 2/5 inch per foot.

babunello [3635]

Answer:

$m=\frac{1}{30}$

Step-by-step explanation:

To determine the slope, divide the rise by the run to calculate the slope.

Note that

1 ft = 12 in

Let

y ----> the rise

x ----> the run

m ----> the slope

$m=\frac{y}{x}$

the values are given as

$y=2/5\ in$

$x=1\ ft=12\ in$

$m=\frac{y}{x}$

substituting these values gives

$m=\frac{(2/5)}{12}$

$m=\frac{2}{60}$

Simplifying further

$m=\frac{1}{30}$

3 0

12 days ago

Read 2 more answers

Josh can split a truckload of logs in 8 hours, but working with his dad, they can get it done in 3 hours. How long would it take

lawyer [4008]

Result: 4.8 hours

Detailed explanation:

Josh: $\frac{1}{8}$

Father: $\frac{1}{x}$

Together: $\frac{1}{3}$

Josh plus Dad equals Together

$\frac{1}{8}$ + $\frac{1}{x}$ = $\frac{1}{3}$

$\frac{1}{8}*(24x)$ + $\frac{1}{x}*(24x)$ = $\frac{1}{3}$ (24x)

3x + 24 = 8x

-3x -3x

24 = 5x

÷5 ÷5

4.8 = x

3 0

6 days ago