2:6 so simplify it 1:3. This means the scale ratio is 1:3 for the figures. To find w, sub in the 3 from the smaller figure to the ratio so 3×3=9, 3:9 w=9
Answer:
- a) x+y
- b) 2x+y
- c) -x
- d) x+y+1
- e) y-x
- f) x/2
Step-by-step explanation:
The applicable rules of logarithms are ...
log(ab) = log(a) +log(b)
log(a^b) = b·log(a)
__
Answer:
1. 5quarts
2. 6 cups
3. 18 quarts
4. 80 cups
5. 9 gallons
6. 56fl oz
7. 7.5 gallons
8. 2 gallons
Step-by-step explanation:
Circumference of a sphere: 2 * pi * r
8 / 2 = 4
r = 4
surface area of a sphere: 4 * pi * r^2
4 * pi * 4^2
4 * pi * 16
64pi
answer is c :)
The graph at option 1 shows the given inequality y < x² + 1. The domain and range of the given inequality is {x: x ∈ (-∞, ∞)} and {y: y ∈ [1, ∞)}.
<h3>How to graph an inequality?</h3>
The steps to graph an inequality equation are:
- Solve for the variable y in the given equation
- Graph the boundary line for the inequality
- Shade the region that satisfies the inequality.
<h3>Calculation:</h3>
The given inequality is y < x² + 1
Finding points to graph the boundary line by taking y = x² + 1:
When x = -2,
y = (-2)² + 1 = 4 + 1 = 5
⇒ (-2, 5)
When x = -1,
y = (-1)² + 1 = 2
⇒ (-1, 2)
When x = 0,
y = (0)² + 1 = 1
⇒ (0, 1)
When x = 1,
y = (1)² + 1 = 2
⇒ (1, 2)
When x = 2,
y = (2)² + 1 = 5
⇒ (2, 5)
Plotting these points in the graph forms an upward-facing parabola.
So, all the points above the vertex of the parabola satisfy the given inequality. Thus, that part is shaded.
From this, the graph at option 1 is the required graph for the inequality y < x² + 1. The boundary line is dashed since the inequality symbol is " < ".
Learn more about graphing inequalities here:
brainly.com/question/371134
#SPJ1