If someone were to tell you that they rolled a number less than 7 on a dice, then what vocabulary WORD would you use to describe
1 answer:
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Answer:
x = 3
Step-by-step explanation:
We require the equations of the 2 lines.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
The line has slope = 7, hence
y = 7x + c ← is the partial equation
To find c substitute (6, 28) into the partial equation
28 = 42 + c ⇒ c = 28 - 42 = - 14
y = 7x - 14 → (1)
Calculate the slope of the second line using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 7) and (x₂, y₂ ) = (- 1, - 13)
m = =
= 5, thus
y = 5x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 7), then
7 = 15 + c ⇒ c = 7 - 15 = - 8
y = 5x - 8 → (2)
Solving (1) and (2) by equating the right sides
7x - 14 = 5x - 8 ( subtract 5x from both sides )
2x - 14 = - 8 ( add 14 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
The x- coordinate of the point of intersection is x = 3
Answer:
20.9 feet
Step-by-step explanation:
<em>The figure attached below can be formed through the information given.</em>
<u>Step 1: Find angle y</u>
<em>All angles of a triangle are equal to 180°</em>
<em>67 + 39 + y = 180</em>
<em>y = 74°</em>
<u>Step 2: Use sin formula to find H</u>
<em>a/sin a = b/sin b</em>
<em>32/sin 74 = b/sin 39</em>
b = 20.9 feet.
The height of the tower is 20.9 feet.
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