x²-9x+12 = (x - (9/2))² - (33/4) For further details, refer to the image below.:)
Solution:
x=8
Detailed explanation:
This isosceles triangle consists of two right triangles with sides equal to 8,
, and y
Considering we possess two sides of a right triangle, determining the third side can be achieved using the Pythagorean Theorem

Because it is an isosceles triangle, these two right triangles are the same, thus x=2y
Hence, x=2(4)=8
Response:
the solution can be found in the image
Answer:
According to my cupcake recipe, it yields $12$ cupcakes and calls for $1\frac{1}{2}$ sticks of butter. I can only purchase whole sticks of butter.
Consequently, a single whole stick of butter will suffice to prepare $100$ cupcakes.
Answer: The most significant angle created during his journey appears at the mall, between his house and the library.
Step-by-step explanation:
Hi, since this scenario forms a right triangle (refer to the attached image), the angle between his house and the library measures 90°.
For a right triangle, the total of its internal angles equals 180°, making the right angle (90°) the largest among them.
Thus, the angle at the mall, between his house and the library, is indeed the largest angle formed during his trip.
If you need further clarification or have questions, feel free to ask!