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3 years ago

How to work out:5x+1=2x-8

Mathematics

2 answers:

Helen [10]3 years ago

5 0

$5x+1=2x-8 \\ 5x-2x=-8+1 \\ 3x=-7 \\ x=-7/3$

S= {-7/3}

pentagon [3]3 years ago

5 0

5x+1=2x-8
3x=-7
x=-7/3

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Prove the following identity sin x(sec x+cscx)= tan x +1

Alexxandr [17]

Answer:

Step-by-step explanation:

________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

$\sin x = \frac{1}{cosec \: x} \: \: or \: \: cosex \: x = \frac{1}{\sin x}$

$\cos x = \frac{1}{\sec x} \: \:or \: \: \sec x = \frac{1}{\cos x}$

$\tan x = \frac{\sin x}{\cos x}$

________________________________________________________

In the question ,

L.H.S. = $\sin x (\sec x + cosec \: x)$

R.H.S. = $\tan x + 1$

Lets solve L.H.S. first.

$\sin x (\sec x + cosec \: x)$

$=> \sin x( \frac{1}{\cos x} + \frac{1}{\sin x} )$

$=> \frac{\sin x}{\cos x} + \frac{\sin x}{\sin x}$

$=> \tan x + 1$

∴ L.H.S. = R.H.S. (Proved)

3 0

2 years ago

Select the correct answer.

joja [24]

Answer:

D. 21/2

Step-by-step explanation:

We simply have to evaluate the first three terms based on the progression's formula:

t= 1, the first term is 8, as we see:

$8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{1-1} = 8 * 1 = 8$

t=2, the second term is 2, as we see:

$8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{2-1} = 8 * \frac{1}{4} = 2$

t=3, the third term is 1/2, as we see:

$8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{3-1} = 8 * \frac{1}{16} = \frac{1}{2}$

The sum of the first 3 terms is then: 8 + 2 + 1/2 = 10 1/2

Among the answer choices, D. 21/2, which is 10 1/2.

3 0

2 years ago

When Eric multiplied two binomials together, his result was a trinomial. An example is

leva [86]

Answer:

(x + 4)(x - 4)

Step-by-step explanation:

There are actually quite a lot of pairs of binomials the disproves Eric's conclusion, but they all model after the same special product: a^2 - b^2.

The special product a^2 - b^2 can be factored into (a + b)(a - b) and for all real a and b, it will come out as a binomial.

Here is an example:

(x + 4)(x - 4)

We can use the distributive property to get:

x^2 - 4x + 4x - 16

which is the same as

x^2 - 16

This would disprove Eric's conclusion.

6 0

2 years ago

9x -7 = -7 show your work

Irina-Kira [14]

9x-7=-7
+7 +7
___________
9x= 0
_ _
9 9
x=0

5 0

3 years ago

Read 2 more answers

A tent forms an equilateral triangular prism, with both triangular faces exposed. each side of the triangular face has a length

Soloha48 [4]

Given:
Equilateral Triangular Prism
Each side of the triangular face has a length of 196cm
The tent is 250cm long

I have attached an image of the tent. Since the height of the tent is also the height of the triangle, I will solve for the height of the triangle using Pythagorean theorem.

I divided the equilateral triangle into 2 right triangle. The height then becomes the long leg of the triangle. The hypotenuse is 196cm and the short leg is 98cm, half of one side of the triangle.

a² + b² = c²
a² = c² - b²
a² = (196cm)² - (98cm)²
a² = 38,416cm² - 9,604cm²
a² = 28,812cm²
a = √28,812cm²
a = 169.74cm

The height of the tent is 169.74 centimeters.

6 0

2 years ago