Answer:
Solution : Third Option
Step-by-step explanation:
The first step here is to make all the signs uniform. As you can see the third inequality has a less than sign, which we can change to a greater than sign by dividing negative one on either side, making the inequality y > - 7.
Now take a look at the third option. Of course the y - coordinate, 3, is greater than - 7, so it meets the third requirement ( y > - 7 ). At the same time 3 > 1( 2 ) > 2, and hence it meets the second requirement as well. 3 > - 3( 1 ) + 4 > - 3 + 4 > 1, meeting the first requirement.
Therefore, the third option is a solution to the system.
<span><span>2<span>(<span><span>3x</span>−4</span>)</span></span>=<span><span>3x</span>+1
</span></span>Step 1: Simplify both sides of the equation.
<span><span>2<span>(<span><span>3x</span>−4</span>)</span></span>=<span><span>3x</span>+1</span></span><span>Simplify: (Show steps)</span><span><span><span>6x</span>−8</span>=<span><span>3x</span>+1
</span></span>Step 2: Subtract 3x from both sides.
<span><span><span><span>6x</span>−8</span>−<span>3x</span></span>=<span><span><span>3x</span>+1</span>−<span>3x</span></span></span><span><span><span>3x</span>−8</span>=1
</span>Step 3: Add 8 to both sides.
<span><span><span><span>3x</span>−8</span>+8</span>=<span>1+8</span></span><span><span>3x</span>=9
</span>Step 4: Divide both sides by 3.
<span><span><span>3x</span>3</span>=<span>93
</span></span><span> answer : x=<span>3
hope this helps!</span></span>
No. We claim that
and use algebra to prove the statement.
Let
. Multiply this by ten to get
. Subtract the initial equation to give
and divide by
to see that
. Substituting into the original equation gives
, proving the desired statement.
Answer:
Distance of foot of ladder from building: <em>37.2 inches
</em>
Distance of top of ladder from building's base: <em>114 inches
</em>
Step-by-step explanation:
Please refer to the figure attached in the answer area.
A right angled triangle 
is formed by the ladder with the building where hypotenuse is the length of ladder.
Hypotenuse, <em>AC </em>= <em>10 foot
</em>
Also, we are given that angle made by the base of ladder with the ground is 
.
We have to find <em>AB</em> and <em>BC</em>.
Using trigonometric functions:
Distance of foot of ladder from building: <em>37.2 inches
</em>
Distance of top of ladder from building's base: <em>114 inches
</em>
