M = - 1/5
y = m x + b
7 = - 1/5 · ( - 3 ) + b
7 = 3/5 + b
b = 7 - 3/5
b = 35/5 - 3/5
b = 32/5
The equation is:
y = - 1/5 x + 32/5 or : y = - 0.2x + 6.4
T<1,-7> is the ans because the subtraction sign would go back to 7
Answer:
Step-by-step explanation:
<h3>Given</h3>
- H is the circumcenter of triangle BCD,
- BC = 18
- HD = 14
<h3>To find </h3>
<h3>Solution</h3>
- Triangle BHD is isosceles, therefore BH = HD
- Point E is midpoint of BC, therefore BE = 1/2BC
<u>Using Pythagorean, finding the value of EH:</u>
- EH = √(BH² - BE²) = √(14² - (18/2)²) = √(196 - 81) = √115 = 10.72
Answer:
a.) [1, infinity)
Step-by-step explanation:
The equation is that of a parabola that opens upward with vertex (1, 1). Hence the minimum value of f(x) is 1, and all values greater than that are part of the range: [1, ∞).
_____
The "vertex form" of the equation of a parabola is ...
f(x) = a(x -h)^2 + k
The vertex is at (h, k). When a > 0, the parabola opens upward. When a < 0, the parabola opens downward. Whichever way it opens, the value k is an extreme value and the limit of the range.
