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3 years ago

Make p the subject of the formula q-2p=p+4

1 answer:

5 0

Hi there!

In order to make p the subject of the formula,

We need to simplify.

q-p=4

Now, we move q to the other side and set p positive.

-p = 4 - q
p = -4 + q

There you are!

Hope this helps!

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What is being distributed in the following problem?<br> 5 - 31d + 7)

USPshnik [31]

Answer:

the -3 is being distributed. --> the 5 stays outside till the end. multiply the 3 inside first, then the negative. and then add the 5 to the final answer

5-3(d+21) = -->> 5-(3d+21)=--->>>5-3d-21=3d-16

Step-by-step explanation:

5-3(d+21) =

5-(3d+21)=

5-3d-21=

ans=3d-16

7 0

3 years ago

If the letters in the word decagon are arranged at random, find the probability that the first letter is a g

bazaltina [42]

2/7. There are 2 G's out of a total of 7 letters in the word.

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3 years ago

Math:

Dahasolnce [82]

Answer:

a) $x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$ , $x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$ , b) $x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$ , $x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

$\sqrt{3}\cdot \csc x - 2 = 0$

$\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0$

$\sqrt{3} - 2\cdot \sin x = 0$

$\sin x = \frac{\sqrt{3}}{2}$

$x = \sin^{-1} \frac{\sqrt{3}}{2}$

Value of x is contained in the following sets of solutions:

$x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$

$x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

b) The equation must be simplified first:

$\cos x + 1 = - \cos x$

$2\cdot \cos x = -1$

$\cos x = -\frac{1}{2}$

$x = \cos^{-1} \left(-\frac{1}{2} \right)$

Value of x is contained in the following sets of solutions:

$x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$

$x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

7 0

3 years ago

f(x)=3x^(4)-5x^(3)-5x^(2)+5x+2 The number 3 is an upper bound for the set of roots of this polynomial function True or False

Leona [35]

Answer: TRUE

Step-by-step explanation: The number 3 is an upper bound because use 3 as a multiplyer of each bcoefficient of the polynomial and at each multiple,subtract the next coefficient from it. if all result after subtraction show positive, then the number used is an upper bound. This method is known as the synthetic division.

3 3 -5 -5 5 2

0 9 12 21 78

3 4 7 26 80

7 0

3 years ago

Hello,

oksano4ka [1.4K]

It took him 9.92 hours to complete the journey.

Step-by-step explanation:

Given,

Distance traveled = 50 miles

Distance traveled on horse = $\frac{50}{2}=25\ miles$

Distance traveled on foot = 25 miles

Speed while riding = 9 miles per hour

Distance = Speed * Time

Time while riding = $\frac{Distance}{Speed}$

Time while riding = $\frac{25}{9}=2.78\ hours$

Speed while waling = 3.5 miles

Time = $\frac{25}{3.5}=7.14\ hours$

Total time = 2.78+7.14 = 9.92 hours

It took him 9.92 hours to complete the journey.

Keywords: speed, distance

Learn more about distance at:

#LearnwithBrainly

7 0

3 years ago