Answer:
x = 5
Step-by-step explanation:
For the parallelogram to be a square we use the property
The diagonals of a square are congruent, hence
12x - 23 = 4x + 17 ( subtract 4x from both sides )
8x - 23 = 17 ( add 23 to both sides )
8x = 40 ( divide both sides by 8 )
x = 5
Answer:
56 grams of sugar is the correct answer
Answer:
f(g(x)) = 722, and g(f(x)) = 154
Step-by-step explanation:
f(x) = 2x²
g(x) = 3x + 4
g(f(x)) = 3(2x²) + 4
g(f(5)) = 3(2 × 5²) + 4
g(f(5)) = 3(2 × 25) + 4
g(f(5)) = 3 × 50 + 4
g(f(5)) = 154
f(g(x)) = 2(3x + 4)²
f(g(5)) = 2(3 × 5 + 4)²
f(g(5)) = 2 × 19²
f(g(5)) = 2 × 361
f(g(5)) = 722
Answer:
B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 7)² + (y - 5)² = 16 ← is in standard form
with centre = (- 7, 5 ) and r =
= 4 → B