Answer:
y=3x-5
Step-by-step explanation:
Slope Formula: y2 - y1 / x2 - x1
-5 - 7 / 0 - 4
-12 / -4 = 3
y intercept = -5
To find the maximum, input the vertices (0,8), (5,4) and (9,0) into the objective function (P = 3x + 2y) to determine which vertex obtains the maximum value.
NOTE: I don't understand why (5,4) was given on your graph as a vertex.
(0,8): P = 3(0) + 2(8) = 0 + 16 = 16
(5,4): P = 3(5) + 2(4) = 15 + 8 = 23
(9,0): P = 3(9) + 2(0) = 27 + 0 = 27 THIS IS THE LARGEST (MAX) P-VALUE
Answer: 27
The measure of ∠C using sine rule formula and as shown in the triangle is 39.8°.
<h3>SINE RULE FORMULA</h3>
The sine rule formula gives the ratio of the sides and angles of a triangle. The sine rule can be explained using the expression, a/sinA = b/sinB = c/sinC,
From the diagram, to calculate the measure of the ∠C, we use the sine rule formula.
- b/sinB = c/SinC............ Equation 1
From the diagram,
Given:
Substitute these values into equation 1 and solve for angle C
- 9/sin105° = 6/sinC
- sinC = (sin105°×6)/9
- sinC = 0.64
- C = sin⁻¹(0.64)
- C = 39.8°
Hence, ∠C is 39.8°.
Learn more about sine rule formula here: brainly.com/question/28523617
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Answer:
498
Step-by-step explanation:
6 × 83
Using distiributive property
We can solve the expression by using a method called decomposing the multiplier.
= 6 × (80 + 3)
= 6 × 80 + 6 × 3
= 480 + 18
= 498