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3 years ago

Which set of numbers could represent the lengths of the sides of a right triangle?

Mathematics

1 answer:

Degger [83]3 years ago

8 0

Answer:

3,4,5

Step-by-step explanation:

Here, we want to select the set that could work and the sides of a right angled triangle

the correct answer is 3,4,5

These set are called a Pythagorean triple

This is because adding the square of the two smaller number will give the square of the largest number

What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set

You might be interested in

I need help plz pt.2

Fynjy0 [20]

Answer:

See explanation

Step-by-step explanation:

Consider the sequence $\dfrac{1}{32},\ \dfrac{1}{8},\ \dfrac{1}{2}, 2,\ 8,...$

Rewrite it as

$b_1=\dfrac{1}{32},\\ \\b_2=\dfrac{1}{8},\\ \\b_3=\dfrac{1}{2},\\ \\b_4=2,\\ \\b_5=8...$

The points on the coordinate plane are

$(1,b_1),\ (2,b_2),\ (3,b_3),\ (4,b_4),\ (5,b_5),...$ (see attached graph).

Since

$4=\dfrac{b_2}{b_1}=\dfrac{b_3}{b_2}=\dfrac{b_4}{b_3}=\dfrac{b_5}{b_4}...,$ given sequence is geometric.

7 0

4 years ago

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)

(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)

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

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

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

6 0

3 years ago

1. If a - b = 4 and a + b = 12, what is the<br> value of a?

Nezavi [6.7K]

I think this is what you are looking for:

=−12

−

+=4

(+)2=42

(

)

2+2+2=16

∴2+2=16+2×12=40

∴

Now, (−)2=2+2−2=40+2×12=64

(

−

)

−

∴(−)=64‾‾‾√=±8

∴

(

−

)

So, 2−2=(+)(−)

−

(

)

(

−

)

2−2=(4)(±8)=±32

−

(

)

(

)

Hope that helps and sorry if it is confusing!

4 0

3 years ago

Read 2 more answers

ſ x - 5y = -9( 4x + 4y = - 12Step 1 of 2: Determine if the point (-4,1) lies on both of the lines in the system of equations by

Phoenix [80]

Given:

$\begin{gathered} x-5y=-9\ldots\ldots(1) \\ 4x+4y=-12\ldots\text{.}\mathrm{}(2) \end{gathered}$

The given point is (-4,1)

Let's check the ordered pair (-4,1) in the first equation

$\begin{gathered} x-5y=-9 \\ (-4)-5(1)=-9 \\ -4-5=-9 \\ -9=-9 \end{gathered}$

Hence, (-4,1) is a solution of the first equation x-5y=-9.

Now, let's check (-4,1) in the second equation.

$\begin{gathered} 4x+4y=-12 \\ 4(-4)+4(1)=-12 \\ -16+4=-12 \\ -12=-12 \end{gathered}$

So, (-4,1) is a solution of the second equation 4x+4y=-12.

Hence, (-4,1) is a solution of both equation in the system, then it is a solution to the overall system.

3 0

1 year ago

Brianne can paint 120 square feet of walls in 34 hour.

kotegsom [21]

Good afternoon.

120square --- 34h
x square --- 1h
34x = 120
x = 120/34
x = 3,5 square

6 0

4 years ago