Answer:
True
Step-by-step explanation:
When the value of the positive number is the same as the negative number, the sum is zero. The positive number and negative number cancel each other out or simplify. The sum of two negative integers is always negative. When two or more negative numbers are added together, the result or sum is always negative
<h3>Slopes of perpendicular lines.</h3>
Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then
<h3>k ║ l ⇔ a₁ = a₂</h3><h3>k ⊥ l ⇔ a₁ · a₂ = -1</h3>
We have the line y = -x + 5 ⇒ a₁ = -1.
Therefore
a₂ · (-1) = -1
-a₂ = -1 I<em>change the signs</em>
<h2>a₂ = 1</h2>
Answer:
Numbers are 6 and 17.
Step-by-step explanation:
Let the two numbers are 'a' and 'b'.
"Sum of these numbers = 23"
a + b = 23 --------(1)
"One number is 7 less than 4 times the other"
a = 4b - 7 ---------(2)
Substitute the value of 'a' in equation (1) from equation (2)
(4b - 7) + b = 23
5b - 7 = 23
5b = 23 + 7
5b = 30
b = 6
From equation (2),
a = 4b - 7
a = 4×6 - 7
a = 24 - 7
a = 17
Therefore, the numbers are 6 and 17.