Need help!! What’s the second blank?
2 answers:
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Answer:
The base is 4cm and the height is 5cm.
Step-by-step explanation:
This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:
and
Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:
In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:
Distribute 1/2 to <span>(n – 4):
</span>
<span>
Subtract (2n + 3):
</span>
<span>
Your equation should now look like this:
</span>
<span>
Combine like terms on both sides:
</span>
<span>
Subtract 1/2n from both sides:
</span>
<span>
Divide both sides by -5/2 to get n by itself:
</span>
<span>
The value of n is 2.</span>
</span>
<span>
Subtract (2n + 3):
</span>
<span>
Your equation should now look like this:
</span>
<span>
Combine like terms on both sides:
</span>
<span>
Subtract 1/2n from both sides:
</span>
<span>
Divide both sides by -5/2 to get n by itself:
</span>
<span>
The value of n is 2.</span>