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3 years ago

What is the difference between Delta x and dx? ...?

1 answer:

6 0

Δx (delta x) is about a secant line, a line between two points representing the rate of change between those two points. That's a "differential" (between the two points).

dx is about a tangent line to one point, representing an instantaneous rate of change. That makes it a "derivative."

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The difference of 17 and 5 tines a number

emmasim [6.3K]

You can answer this problem in two different ways: the first being (17 - 5) * x, and the second being 12 * x.

6 0

3 years ago

Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be w

zzz [600]

Answer:

20 gray squares

Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

<u>The white squares</u>

$a = 2$ --- initial

$d = 4 - 2 = 6 - 4$

$d = 2$ -- difference between successive gray squares

So, the nth term is:

$W_n = a + (n - 1)d$

$W_n = 2 + (n - 1)*2$

$W_n = 2 + 2n - 2$

$W_n = 2n$

<u>The gray squares</u>

$a = 6$ --- initial

$d = 8-6=10-8$

$d = 2$ -- difference between successive gray squares

So, the nth term is:

$G_n = a + (n - 1)d$

$G_n = 6 + (n - 1) *2$

$G_n = 6 + 2n - 2$

$G_n = 4 + 2n$

When the white squares is 16

$W_n = 16$ --- Calculate n

$W_n = 2n$

$16 = 2n$

$8 = n$

$n = 8$

To get the number of gray squares;

Substitute $n = 8$ in $G_n = 4 + 2n$

$G_n = 4 + 2 * 8$

$G_n = 20$

4 0

2 years ago

What is the area of triangle DEF

kolezko [41]

Answer:

76.5 cm²

Step-by-step explanation:

Given the triangles are similar , then

ratio of sides = a : b , so

ratio of areas = a² : b²

Here ratio of sides = 9 : 13.5 = 2 : 3

ratio of areas = 2² : 3² = 4 : 9

let x be the area of Δ DEF and using proportion

$\frac{4}{34}$ = $\frac{9}{x}$ ( cross- multiply )

4x = 306 ( divide both sides by 4 )

x = 76.5

The area of Δ DEF = 76.5 cm²

3 0

2 years ago

Solve the system by substitution.

Brut [27]

Answer:

((1)/(2),-(1)/(2))

Step-by-step explanation:

3 0

2 years ago

749ml= --------L please answer this question

maria [59]

Answer:

The answer is 0.749 L.

Step-by-step explanation:

L, dc, cl, ml

0. 7 4 9

4 0

3 years ago