Answer:
4 √6
Step-by-step explanation:
We have a few right triangles. We know that a²+b²=c², with c being the side opposite the right angle. Representing the side without a value as z, we have:
m²+z² = (8+4)² = 12²
4²+n²=z²
8²+n²=m²
We have 3 equations with 3 unknown variables, so this should be solvable. One way to find a solution is to put everything in terms of m and go from there. First, we can take n out of the equations entirely, removing one variable. We can do this by solving for it in terms of z and plugging that into the third equation, removing a variable as well as an equation.
4²+n²=z²
subtract 4²=16 from both sides
z²-16 = n²
plug that into the third equation
64 + z² - 16 = m²
48 + z² = m²
subtract 48 from both sides to solve for z²
z² = m² - 48
plug that into the first equation
m² + m² - 48 = 144
2m² - 48 = 144
add 48 to both sides to isolate the m² and its coefficient
192 = 2m²
divide both sides by 2 to isolate the m²
96 = m²
square root both sides to solve for m
√96 = m
we know that 96 = 16 * 6, and 16 = 4², so
m = √96 = √(4²*6) = 4 √6
Let's solve your inequality step-by-step.
<span><span><span>5x</span>+3</span>><span><span>4x</span>+7
</span></span>Step 1: Subtract 4x from both sides.
<span><span><span><span>5x</span>+3</span>−<span>4x</span></span>><span><span><span>4x</span>+7</span>−<span>4x
</span></span></span><span><span>x+3</span>>7
</span>Step 2: Subtract 3 from both sides.
<span><span><span>x+3</span>−3</span>><span>7−3
</span></span><span>x>4
</span>Answer:
<span>x><span>4</span></span>








I'm not the best at writing, but I can try. so here's an idea:you can have as your scenario something like "On a vase shaped like a rectangular prism is a flower. Knowing that the stem of the flower is the diagonal of the prism, the diagonal of the base is 18 and the sinus of the angle between the stem and the diagonal(of the base) is 4/5, find the stem's length and the height of the vase"
Answer:
1) not a function
2) Function
3) Function
Step-by-step explanation:
Answer:
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