Answer:
8x+15=7 8x=-8 x =-1
Step-by-step explanation:
The answer for the question shown above is the first option, which is:
- Direct.
The explanation is shown below:
1. The problem says that <span>The number of tons of coal varies as the number of hours.
2. Therefore, you can write the following equation:
number of tons:x
number of hours:y
x=ky
Where k is the constant of variation.
3. Therere the variation is direct.</span>
Given that the triangle is a right angled triangle, to solve for x we shall use the Pythagorean theorem given by:
c^2=a^2+b^2
where:
c is the hypotenuse
a and b are the legs.
c=10
a=6
b=(x-6)
thus plugging the values in the equation and solving for x we get:
10^2=6^2+(x-6)^2
100=36+x^2-12x+36
100=x^2-12x+72
0=x^2-12x-28
factoring the above we get:
0=(x+2)(x-14)
hence
x=-2 or x=14
given that there is no negative distance then
x=14
thus the value of x is 14
Answer:
============================
<h2>Given expression:</h2>
<h2>Simplify it in steps:</h2>
<h3>Step 1</h3>
Bring both fractions into common denominator:
<h3>Step 2</h3>
Simplify:
<h3>Step 3</h3>
Compare the result with given expression to get:
