Answer:
7a²/16
Step-by-step explanation:
Area of the triangle PTS
½ × a × a
a²/2
Length of PS:
sqrt(a² + a²)
asqrt(2)
Length of MS:
¼asqrt(2)
Triangles MCS and TPS are similar
With sides in the ratio:
¼asqrt(2) : a
sqrt(2)/4 : 1
Area of triangle SMC:
A/(a²/2) = [(sqrt(2)/4)]²
2A/a² = 1/8
A = a²/16
Area of PTMC
= a²/2 - a²/16
= 7a²/16
Step-by-step explanation:
Answer: 1 5/12 cups of flour leftover
Step-by-step explanation: First, add 4 2/3 + 5 1/4. This gives you 9 11/12. 9 11/12 - 8 1/2 = 1 5/12.
<span>this is pretty hard but here is your answer
</span>
y = x^2 - 10x + 25 - 25
<span> y = (x-5)^2 - 25 </span>
<span> y+25 = (x-5)^2 </span>
<span> x-5 = +/-sqrt(y+25) </span>
<span> And you get TWO
inverses: </span>
<span> x = 5 + sqrt(y+25),
for x>=5 </span>
<span> x = 5 - sqrt(y+25),
for x<=5</span>
