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Sergeeva-Olga [200]

3 years ago

15

What is the scientific notation of 0.005

1 answer:

Airida [17]3 years ago

3 0

Move the decimal to the right 3 places: 5 x 10⁻³

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Could someone help me arrange these pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (2

Zina [86]

Answer:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Step-by-step explanation:

Required

Arrange in increasing order of slope

Slope (m) is calculated using:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

So, we have:

(a) (15, 30) and (20, 40)

$m = \frac{40 -30}{20- 15}$

$m = \frac{10}{5}$

$m =2.00$

(b) (12, 32) and (18, 48)

$m = \frac{48 -32}{18- 12}$

$m = \frac{16}{6}$

$m = 2.67$

(c) (27, 12) and (72, 32)

$m = \frac{32-12}{72- 27}$

$m = \frac{20}{45}$

$m = 0.44$

(d) (45, 15) and (60, 20)

$m = \frac{20-15}{60- 45}$

$m = \frac{5}{15}$

$m = 0.33$

(e) (27, 2) and (243, 18)

$m = \frac{18-2}{243- 27}$

$m = \frac{16}{216}$

$m = 0.07$

(f) (18, 63) and (24, 84)

$m = \frac{84-63}{24- 18}$

$m = \frac{21}{6}$

$m = 3.50$

(g) (63, 9) and (84, 12)

$m = \frac{12 -9}{84- 63}$

$m = \frac{3}{21}$

$m = 0.14$

From least to greatest slope, the pair of points are:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

6 0

3 years ago

Factorise 2x²-9x+10 (this must be put in two brackets)

galben [10]

Find both roots :
$\Delta=81-80=1$ hence $r=\frac{9\pm1}4=\frac{5}2\text{ or }2$

Thus it is $2(x-\frac{5}2)(x-2)$

4 0

3 years ago

Read 2 more answers

• The program was used times on the same computer in one week. • Of those times, a blue background appeared times and a red back

pentagon [3]

Answer:

can you explain this better

5 0

2 years ago

A baseball team won 20 games and lost 10 games. What percent of the games did the team win?

wariber [46]

They won 20/30, so 100 / 30 = 3.3, then times by 20 = 66.66.

Hope this helps.

6 0

3 years ago

Please please please help!!!! :))))))

tresset_1 [31]

Answer:

$ 800

Step-by-step explanation:

Parking slot is in the shape of parallelogram.

base = 3 m

Height = 6 2/3 m

Area = base * height

$= 3 * 6\frac{2}{3}\\\\= 3*\frac{20}{3}\\\\= 20 sq.m$

Cost of paving the parking spot = 20 * 40

= $ 800

8 0

3 years ago