Answer:
Second Graph
Step-by-step explanation:
Given the linear inequality, y > -x - 3, an easier way of determining its graph is through a test point.
A test point is an ordered pair that is not on the actual line of the graph. The point of origin, (0, 0) is often used for this purpose.
Substitute the values of (0, 0) into the linear inequality to find out whether it satisfies the given inequality statement:
y > -x - 3
0 > - (0) - 3
0 > - 0 - 3
0 > -3 (True statement). Therefore, the shaded region must contain the test point since it is one of the solutions to the given linear inequality.
Hence, the correct answer is the second graph.
Answer:
59.0
Step-by-step explanation:
c=31
b=90
90+31=121
180-121=59
56 rounded to the nearest 3 sf=59.0
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Answer:
A. 17
Step-by-step explanation:
using the cosine rule (also see attached for reference):
AB² = BC² + AC² - 2·AC·BC cos C
2·AC·BC cos C = BC² + AC² - AB²
Given that AC = 18, AB = 12 and BC = 18, substituting these into the formula
2(18)(28) cos C = 28² + 18² - 12²
1008 cos C = 964
cos C = 964/1008
cos C = 0.9563
C = cos⁻¹ 0.9563
C = 16.99 ( = 17° rounded to nearest degree)
Answer:
reflected across the x-axis is 3,-2 and the y axis is -3,2
Step-by-step explanation:
When you reflect over the X axis it will stay the same numbers but change the Y axis sign. the same thing happens to the y -axis but the x changes siogns instead
Answer:
Step-by-step explanation:
The slope-intercept form of an equation of aline:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:
From the graph we have the points:
(-2, -5)
y-intercept (0, 3) → <em>b = 3</em>
Calculate the slope:
Put the value of the slope and the y-intercept to the equation of a line:
