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Make y the subject :
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y - 3 = 4(x + 8)
y - 3 = 4x + 32 // Apply distributive property
y = 4x + 35 // Add 3 to both sides
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Identify Slope :
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Slope = 4
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Find a point on the line :
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When x = 0,
y = 4(0) + 35 // Sub x = 0 into the equation
y = 35 // Combine like terms
Point = (0, 35)
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Answers :
(a) Slope = 4
(b) One point on the line is (0, 35)
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Answer:
52 inches
Step-by-step explanation:]
Step one:
given data
Length of one side= 10inch
Width of the other two sides= 21 inches
Step two:
The perimeter of the triangle is given as
P= L+W+W
P=10+21+21
P=52 inches
If you would like to know which proportion can be used to find the distance on the map that represents 50 miles, you can calculate this using the following steps:
200 miles ... 5 inches
50 miles ... x inch = ?
200 * x = 5 * 50
x = 5 * 50 / 200
x = 1.25 inch
The correct result would be <span>x = 5 * 50 / 200.</span>
Answer:
a= -infinity to 3
Step-by-step explanation:
Given


Required
Determine the value of a such that the inequality has no solution
Considering the first inequality (<em>Solve for x)</em>:

Collect Like Terms


Divide both sides by 10

Reorder

This means that the least value of x is 2;
Substitute
in the second equation




Collect Like Terms


Reorder

This means that the least value of a is 4
Hence;
<em>The values of a for which the system has no solution is -infinity to 3</em>
Answer:
43.17 ft/s
Step-by-step explanation:
Let the height of the wall is y.
distance of wall from light is 20 feet.
y = 20 tanθ .... (1)
time period, T = 3 second

Differentiate equation (1) with respect to t.


dy/dt = 20 x 2.16
dy/dt = 43.17 ft/s