Answer:
m = 1 and c = - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 5 is in this form
with m = 1 and c = - 5
Answer:
<h2><em>ΔE =12.3 - (-9.6) which is equivalent to 21.9 feet </em></h2>
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Step-by-step explanation:
Give the distance covered by Vivian at the bottom of the elevation to be -9.6 feet and the distance covered by Vivian at the top of the elevation to be 12.3 feet, Vivian's change in elevation will be expressed as the difference in the elevation at the bottom and the elevation at the top.
Let the initial elevation Ei = -9.6 feet
Final elevation Ef = 12.3 feet
Change in elevation ΔE = Ef - Ei
Change in elevation ΔE =12.3 - (-9.6)
Change in elevation ΔE = 12.3 + 9.6
Change in elevation ΔE = 21.9 feet
<em>Hence the expression to represent Vivian's change in elevation from -9.6 feet at the bottom of the Ferris wheel to 12.3 feet at the top is </em><em>ΔE =12.3 - (-9.6) which is equivalent to 21.9 feet </em>
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The answer is B. Take the same point on each of the figures and count how far they are away horizontally and vertically.
<h2>
Answer:</h2>
The Maple tree.
<h2>
Step-by-step explanation:</h2>
The Sycamore is 15 and 2/3 feet tall, which is 15.667 feet.
The Oak is 14 and 3/4 feet tall, which is 14.75 feet.
The Maple is 15 and 3/4 feet tall, which is 15.75 feet.
The Birch is given as 15.72 feet.
Out of these, the tallest is the Maple, which is at 15.75 feet.
Answer:
EF = 6
Step-by-step explanation:
Using the secant- secant power theorem, that is
GF × GE = GH × GS
4(4 + 2x) = 5(5 + x) ← distribute both sides
16 + 8x = 25 + 5x ( subtract 5x from both sides )
16 + 3x = 25 ( subtract 16 from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
Then
EF = 2x = 2 × 3 = 6
