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3 years ago

Find the equation equivalent to 2x=4 which is a multiple of 3

Mathematics

1 answer:

stich3 [128]3 years ago

5 0

we have to find equation similar to

$2x=4$

Firstly , we can divide both sides by 2

$\frac{2x}{2} =\frac{4}{2}$

$x=2$

now, we can multiply both sides by 3

$3*x=3*2$

we get

$3x=6$ ............Answer

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A rescue helicopter flew from its home base for 35 kilometers on a course of 330 degrees to pick up an accident victim. It then

artcher [175]

I've drawn a triangle to represent the journey (see attached.

The angle from Home to Victim to Hospital is:

a = $90 - (360 - 330) = 90- 30 = 60^o$

Using the cos rule, we can solve for the length x:

$a^2 = b^2 +c^2 - 2bccosA
\\x^2 = 35^2+25^2-2(35)(25)cos60
\\x^2 = 1850 - 875
\\x^2 = 975
\\x = \sqrt{975}
\\x = 31.2249...$

Using the cos rule, we can solve for angle b:

$a^2 = b^2 +c^2 - 2bccosA
\\35^2 = 31.22...^2+25^2-2(31.22...)(25)cosb
\\1225 = 975 + 625 - 1561.249...cosb
\\-375 = -1561.249...cosb
\\b = cos^{-1}( \frac{-375}{-1561.249...}) 
\\b = 76.1...$

So the bearing the helicopter has to travel is:

270 - 76.1 = 193.9 degrees (1 dp)

And the distance it travels is 31.2 km (1 dp)

5 0

3 years ago

Introduction to the triangle midsegment theorem‼️Can someone help me with this problem ❓

Nady [450]

Answer:

see explanation

Step-by-step explanation:

Given a line joining the midpoints of 2 sides of a triangle, the midsegment

Then the midsegment is parallel to and half the measure of the third side of the triangle, thus

XY = 2KL = 2 × 42 = 84

Since J is the midpoint of XY, then

JY = 0.5XY = 0.5 × 84 = 42 and

JK = 0.5YZ = 0.5 × 76 = 38

8 0

3 years ago

How do I study for a math test when all I have is my student refrence book/SRB

Oksana_A [137]

You can go to an online website that's about your test.

4 0

3 years ago

Read 2 more answers

Twelve less than a p number is two

Ipatiy [6.2K]

Answer:

P = 14

Step-by-step explanation:

First of all we know that P - 12 = 2

So, basically all we have to do is add 12 plus 2.

12 + 2 = P

P = 14

So, P should equal 14.

3 0

3 years ago

Read 2 more answers

a) Suppose f"(z) exists on an interval I and f(s) has a zero at three distinct points a < b< c on I. Show there is a pbint

Fynjy0 [20]

Answer:

We can find a root in the average point (a+b+c)/3

Step-By-Step Explanation:

We can use the Rolle Theorem. Since f is two times deribable on both [a,b] and [b,c], then there exists points x in (a,b) and y in (b,c) such that f'(x) = f'(y) = 0. Now, again by using Rolle Theorem, since f' is derivable in [x,y] (because it is a closed interval in I), then there exists s in [x,y] such that f''(s) = 0. This proves a.

The cube (x-a)(x-b)(x-c) has 3 roots, a, b and c and it is two times derivable because it is a polynomial. Hence we can use (a) to ensure that there is a root on I. Nevertheless, we can try to find the root manually:

f'(x) = (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)

f''(x) = (x-c)+(x-b)+(x-c)+(x-a)+(x-b)+(x-a) = 2(x-a)+2(x-b)+2(x-c) = 2( (x-a) + (x-b) + (x-c) ) = 6x - 2 (a+b+c).

We want x such that

6x - 2(a+b+c) = 0, or, equivalently,

3x - (a+b+c) = 0

Hence

x = (a+b+c)/3

Is a root of f'' in I.

3 0

3 years ago