Answer:
Step-by-step explanation:
Circumscribed means written around the outside. -scribe means writing and
think of how circumference is the distance around the outside of a circle. It is a little more special and specific...all the segments that make the triangle are tangents to the circle, that is, they only touch the circle at one point.
So the circle is inscribed-- that is, written inside of the triangle (in the same, special specific way).
Circle A is inscribed in triangle RST.
Answer:
Step-by-step explanation:
16x⁸ - 81y⁸ is the difference of squares.
16x⁸ - 81y⁸ = (4x⁴)² - (9y⁴)² = (4x⁴ + 9y⁴)(4x⁴ - 9y⁴)
Note that 4x⁴ - 9y⁴ is also the difference of squares.
4x⁴ - 9y⁴ = (2x²) - (3y²)² = (2x² + 3y²)(2x² - 3y²)
16x⁸ - 81y⁸ = (4x⁴ + 9y⁴)(2x² + 3y²)(2x² - 3y²)
Answer:
See attached
Step-by-step explanation:
Given function:
Table and graph are attached
Zeros are included in the graph
<u>Zero's are obtained:</u>
x = 0 ⇒ y = 8
y = 0 ⇒ Solving quadratic equation
- -2x² + 5x + 8 = 0
- x = (-5 ± √(25 + 2*4*8))/-4
- x = 3.608
- x = -1.108
So zeros are (0, 8), (3.608, 0) and (-1.108, 0)
Answer:
Step-by-step explanation:
The equation for a circle in standard form is , where h and k are the coordinates of the center. Our center has an h value of -2 and a k value of -3 with an r value of 3. Fitting those values into our standard form of a circle we have . Subtracting a negative is the same as adding, and squaring the right side gives us 9, so the equation is . Third choice from the top.
Answer:
X=12
Step-by-step explanation:
simplify both sides of the equation then isolate the variable.
5/2(12)-7=23
3/4(12)+14=23
making both equations equal to each other.