64,013,000 =
<span>six hundred and four hundred thirteen thousandths =
60,000,000 + 4,000,000+10,000+3,000</span>
Answer:
Constant of proportionality(X:Y) = 1:6
Step-by-step explanation:
Given:
X- 5, 6, 7, 8, 9
Y- 30, 36, 42, 48, 54
Find:
Constant of proportionality
Computation:
X/Y = 5/30 = 6/36 = 7/42 = 8/48 = 9/54
X/Y = 1/6 = 1/6 = 1/6 = 1/6 = 1/6
So;
Constant of proportionality(X:Y) = 1:6
Answer:
x = 21
Step-by-step explanation:
the angles 5x - 35 and 3x + 7 are vertical angles and congruent, thus
5x - 35 = 3x + 7 ( subtract 3x from both sides )
2x - 35 = 7 ( add 35 to both sides )
2x = 42 ( divide both sides by 2 )
x = 21
Answer:
<h2>
y = -¹/₄x - 1</h2>
Step-by-step explanation:
If two lines are perpendicular then the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 4x - 2 ⇒ m₁=4
4×m₂ = -1 ⇒ m₂ = -¹/₄
The line y=-¹/₄x+b passes through point (4, -2) so the equation:
-2 = -¹/₄×4 + b must be true
-2 = -1 + b
b = -1
Therefore equation in slope-intercept form:
y = -¹/₄x - 1
