Answer:
See below ↓
Step-by-step explanation:
We have a graph given to us.
⇒ Take the points to form an equation!
<u>The points</u>
<u>Making an equation</u>
- Find the slope
- m = 1 - 6 / -2 - 4
- m = -5 / -6
- m = 5/6
- Take one of the two points and substitute in the equation :
- ⇒ y - y₁ = m (x - x₁)
- ⇒ y - 6 = 5/6 (x - 4)
- ⇒ y - 6 = 5x/6 - 10/3
- ⇒ <u>y = 5x/6 + 8/3</u>
- ⇒ or <u>6y = 5x + 16</u>
The answer is d. 39.
Rectangle: 6*3 = 18
Big Triangle: (5*6)/2 = 15
Smaller Triangle: (4*3)/2 = 6
18+15+6=39.
Hope this helped☺☺
Answer:
The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12
Step-by-step explanation:
An absolute value inequality |x-2|>10 is given.
It is required to solve the inequality and write the solution in interval form.
To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.
Step 1 of 2
The given absolute value inequality is $|x-2|>10$.
The inequality can be written as
x-2<10 and x-2>-10
First solve the inequality, x-2<10.
Add 2 on both sides,
x-2<10
x-2+2<10+2
x<12
Step 2 of 2
Solve the inequality x-2>-10.
Add 2 on both sides,
x-2>-10
x-2+2>-10+2
x>-8
The solution of the inequality in interval notation is given by -8<x<12.
Given:
Louise used 0.61 kilogram of flour each day for 3 weeks.
To find:
How many grams did Louise use in those 3 weeks?
Solution:
We know that,
1 kg = 1000 g
Flour used by Louise each day for 3 weeks = 0.61 kg
1 week = 7 days
3 week = 21 days
Flour used by Louise for 3 weeks (21 days) = (21 × 0.61) kg
= 12.81 kg
= (12.81 × 1000) [ 1 kg = 1000 g]
= 12810 g
Therefore, flour used by Louise for those 3 weeks is 12,810 grams.
If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
