Answer:
The y-coordinate of F is 8.
Step-by-step explanation:
The area of the large triangle = 1/2 * base * height.
From the given coordinates:
The base of the large triangle = x coordinate of C - x coordinate of A
= 11 - 3 = 8 units.
It's height = y coordinate of A = 12, so
Area of large triangle = 1/2 * 8 * 12 = 48 unit^2.
Using a similar calculation for the small triangle:
Base = 10 - 6 = 4 and height = k units.
So it's area = 1/2 * 4 * k = 2k unit^2.
So from given area of the shaded part:
48 - 2k = 32
-2k = -16
k = 8.
Answer:
step 2
Step-by-step explanation:
Given step 1
324π = π × 12² h
Then second step should read
324π = π × 144h ← 144 not 24 is the error
Answer:
Table 4 represents the same linear expression as y = 3 x - 2.
Step-by-step explanation:
Here, the given expression is y = 3 x -2
So now check the any random pair of each table by putting in the given equation.
<u>TABLE 1 : (2,-5)</u>
y = 3x -2 ⇒ -5 = 3(2) -2
or, -5 = -4 , NOT POSSIBLE
<u>TABLE 2 : (0,3)</u>
y = 3x -2 ⇒ 3 = 3(0) -2
or, 3 = -2 , NOT POSSIBLE
<u>TABLE 3 : (1,2)</u>
y = 3x -2 ⇒ 2 = 3(1) -2
or, 2 = 1 , NOT POSSIBLE
<u>TABLE 4 : (1,1)</u>
y = 3x -2 ⇒ 1 = 3(1) -2
or, 1 = 1 , POSSIBLE
checking for (2,4)
4 = 3(2) - 2 ⇒4 = 4 POSSIBLE
Here, table 4 satisfies the given points in the expression y = 3x -2
Hence, it represents the same linear expression .
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Answer:
A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
Step-by-step explanation:
hope that it helped you
