Two lines are parallel if they have the same slope. Two likes are perpendicular if they have opposite reciprocal slopes.
-3x + 7y = 5
7y = 3x +5
slope = 3/7
3y = -7x +15
Slope = -7/3
So, these lines are perpendicular.
Hope this helps!
Theorem of cosine:
a²=b²+c²-2bc(cos α) ⇒cos α=-(a²-b²-c²) / 2bc
In this case:
a=15 cm
b=10 cm
c=5 cm
cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1
A=arc cos -1=180º This is impossible, because:
A+B+C=180º; then B=C=0º This is impossible for make a triangle (B>0 and C>0 if we want to make a triangle).
Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.
Answer:
4th set
Step-by-step explanation:
Whole numbers are integers. Integers are any unmber that doesn't have a fraction, decimal, or square root (ex. -3, -2, -1, 0, 1, 2, 3). The only set that has these kinds of numbers is the fourth set.
Answer:
If total Revenue is $3000, Cost of Goods is $1500, and total Selling Expense is $500Question: what is the Profit for the business=> The total revenue is 3 000 dollarsThe expenses:=> 1 500 dollars for gold's costs=> 500 dollars for selling expenses.Now, let's add the expenses and subtract it to the total earnings=> 1 500 dollars + 500 dollars = 2 000 dollarsNow, let's subtract:=> 3 000 dollars - 2 000 dollars = 1 000 dollars. Thus, his profit is 1 000 dollars
Answer:
1. If there is a citrus fruit, then it will grow in warm climates
2. Oranges grow in warm climates
Step-by-step explanation:
Conditional form: If p, then q
What is the Law of Detachment?
It means that if a conditional (if p then q), is true and its hypothesis(p) is true, then its conclusion is true(q). In this scenario, p is true, there is a citrus fruit. Therefore oranges grow in warm climates.