Answer:
(1,-1)
Step-by-step explanation:
The graph is being shifted 6 units to the right which affects the x-value and it is also being affected 2 units down which affects the y-value.
Set up ratios of height / shadow length:
8/6 = x/100
Cross multiply
6x = 800
Divide both sides by 6
X = 133.33 feet
The tower is 133.3 feet
Answer:
The angle in the upper right quadrilateral corner = 68 degrees because vertical angles are equal.
Angle Y = 68 (opposite quadrilateral angles are equal).
All quadrilateral angles add to 360 so:
68 + 68 + x + z = 360 = 292
angle X + Z = 292
Therefore angle x = angle z = 146
Step-by-step explanation:
Answer:
x² = 2x - 1
Step-by-step explanation:
x² + 1 = 2x
→ Minus 1 from both sides
x² = 2x - 1
Answer:
(3, 0)
Step-by-step explanation:
Given the inequality y > -2x + 3 and y ≤ x - 2
The graph of the inequalities are plotted using the geogebra graphing online calculator.
The portion of the graph that is shaded with dark blue, represents the portion that supports the equation.
All the ordered pair points given in the question are also labelled in the graph.
From the graph we can see that only point (3, 0) falls in the area that supports the equation. Hence (3, 0) makes both inequalities true.