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2 years ago

Is the square root of 15 an irrational number

Mathematics

1 answer:

Mkey [24]2 years ago

6 0

Yes, because nothing multiplied by itself is 15.. it will lead you to a number with a decimal

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parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF

Doss [256]

Solution-

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1- ∠FTS ≅ ∠PTQ ( ∵ These two are vertical angles)

2- ∠TFS ≅ ∠TPQ ( ∵ These two are alternate interior angles)

3- ∠TSF ≅ ∠TQP ( ∵ These two are also alternate interior angles)

If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.

∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

$\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS} =\frac{TP}{TF}$

As QS = TQ + TS = 10 (given)

If TS is x, then TQ will be 10-x. Then putting these values in the equation

$\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS}$

$\Rightarrow \frac{8}{5} =\frac{10-x}{x}$

$\Rightarrow x=3.85$

∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm

5 0

3 years ago

The equation of the line that contains the points (-8, 1) and (0, -5) is

posledela

Answer:

y = -3/4x -5 (G)

Step-by-step explanation:

Find the slope by using the slope formula. (It's hard to format here so look it up)

Basically, it is y2 - y1/x2 - x1

-5 - 1/ 0 + 8

-6/8 = -3/4

The slope is -3/4.

Plug in for y = mx + b

y (y coordinate) = -5

x (x coordinate) = 0

slope (m) = -3/4

-5 = -3/4(0) + b

-5 = 0 + b

b = -5

y = -3/4x -5

5 0

2 years ago

QUESTION 2 Simplify the following a5×a7

Kryger [21]

Answer:

$a^{12}$

Step-by-step explanation:

Identity Used : $a^x \times a^y = a^{x+ y}$

$a^5 \times a^7 = a^{5 + 7} = a^{12}$

6 0

3 years ago

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The polynomial below is a perfect square trinomial of the form A^2 - 2AB + B^2

WITCHER [35]

Answer:

True

Step-by-step explanation:

$9x^2-12x +4 \\\\=(3x)^2 - 2\cdot 3x \cdot 2+2^2\\\\=(3x-2)^2$

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2 years ago

Norm has $15,000 to deposit. His daughter is a junior in high school and plans to go to college. Recommend the best way for Norm

galina1969 [7]

Answer:

A money market account paying 3.5% interest, renewable for three-month commitments.

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2 years ago

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