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3 years ago

Given : XY = 3Wx YZ = 6 WX Prove: WZ=10wx

Mathematics

1 answer:

Ne4ueva [31]3 years ago

7 0

Step-by-step explanation:

XY = 3WX

3WX - XY = 0

X(3W - Y) = 0

By zero product rule, either X = 0 or 3W = Y.

YZ = 6WX = 2XY (From 1st equation)

2XY - YZ = 0

Y(2X - Z) = 0

Again by zero product rule, either Y = 0 or 2X = Z.

Therefore, either both X and Z = 0, or both W and Y = 0. Let's look at the last equation.

WZ = 10WX

10WX - WZ = 0

W(10X - Z) = 0.

Here, either W = 0 or 10X - Z = 0.

- If both X and Z were 0, 10X - Z = 0.

- If both W and Y were 0 instead, W = 0.

Since both ways satisfy the equation, it is proved.

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En el triángulo rectángulo que se muestra, \angle A = 30^\circ∠A=30 ∘ angle, A, equals, 30, degrees y BC = 6BC=6B, C, equals, 6.

torisob [31]

Answer:

The measure of side AB is 6√3 cm.

Step-by-step explanation:

The question is:

In the right triangle shown, ∠A = 30° and BC = 6. What is AB?

Solution:

Consider the right-angled triangle ABC below.

In the triangle:

∠A = 30°

∠B = 90°

BC = 6 cm

According to the trigonometric identities for a right-angled triangle the tangent of an angle is the ratio of the length of perpendicular side to the length of the base.

That is for angle θ° the value of tan θ° is:

$tan\ \theta^{\text{o}}=\frac{Perpendicular}{Base}$

In the triangle ABC, the perpendicular side is side BC and the base is AB.

Compute the length of side AB as follows:

$tan\ 30^{\text{o}}=\frac{BC}{AB}$

The value of tan 30° is,

$tan\ 30^{\text{o}}=\frac{1}{\sqrt{3}}$

The value of side AB is:

$tan\ 30^{\text{o}}=\frac{BC}{AB}$

$\frac{1}{\sqrt{3}}=\frac{6}{AB}\\\\AB=6\times \sqrt{3}\\AB=6\sqrt{3}$

Thus, the measure of side AB is 6√3 cm.

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3 years ago

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gogolik [260]

Answer:

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3 years ago

Write the following comparison as a ratio reduced to lowest terms 70 days to 3 weeks

aliya0001 [1]

Answer:

I think that it is already in lowest terms

Step-by-step explanation:

8 0

3 years ago

Emily wants to hang a painting in a gallery. The painting and frame must have an area of 31 square feet. The painting is 5 feet

seropon [69]

Area=legnth times width=31
the frame must go around the frame with equal legnth, x
so
the total area (meaning the frame +picture) is 5+x by 6+x
31=(5+x)(6+x)
expand
31=30+11x+x^2
minus 31 both sides
0=-1+11x+x^2
x^2+11x-1=0

answer is third one

6 0

3 years ago

Read 2 more answers

When c is increasing at a rate of 1.5×10?2 m?s?1 , how fast is b decreasing?

bearhunter [10]

The reaction is:
A ( g ) + 1/2 B ( g ) → C ( g )
We will rewrite it so the coefficient in the front of C is 1:
1/2 A + 1/4 B → C
So the rate of increasing of C is 4 times faster than the decrease of B.
The rate of B:
- 1.5 · 10^(-2) M/s : 4 = - 0.375 · 10^(-2) M/s = - 3.75 · 10 ^(-3) M/s
Answer: - 3.75 ·10^(-3) M/s

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3 years ago