First distribute the 1/5 through the parentheses.
1/5 (3 + 2z) - 4z = -3
3/5 + 2/5z - 4z = -3
subtract 3/5 from each side
2/5z - 4z = -3 - 3/5
combine like terms
-3 3/5z = - 3 3/5
z = 1
Answer A
Answer:
92⁰
Step-by-step explanation:
a = 35⁰ ( vertically opposite )
b = 53⁰ (vertically opposite )
a + b + x = 180⁰ (Angle sum property of triangle)
35⁰ + 53⁰ + x = 180⁰
x = 180⁰ - 88⁰
x = 92⁰
Answer:
a) 2x² + 14x + 24 = 0
Step-by-step explanation:
a)
2x² + 14x + 24 = 0
2(x + 4) (x + 3) = 0
x = -4 or x = -3
b)
x² - 6x + 5 = 0
(x - 1)(x - 5) = 0
x = 1 or x = 5
c)
3x² + 30x + 48 = 0
3 (x + 8) (x + 2) = 0
x = -8 or x = -2
d)
-3x² - 12x + 15 = 0
-3 (x + 5) (x - 1) = 0
x = -5 or x = 1
3x^2 +6y^2 = 18
Divide each term by 18 to make the right side equal 1:
3x^2/18 + 6y^2/18 = 1
Simplify each term:
x^2/6 + y^2/3 = 1
The form of an eclipse is written as (x-h)^2/a^2 + (y-k)^2/b^2 =1
Match the values in the ellipse to the standard form:
a = √6
b=√3
k = 0
h = 0
The center = (h,k) = (0,0)
Vertex is h +a, k = (√6,0) and (-√6,0)
Focus is h+c,k = (√3,0) and (-√3,0)
2+3=5cm
Step-by-step explanation:
2 and 3 would have to be added together to get the radius of the circle, resulting in the answer being 5. 2+3=5cm that's your answer