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hammer [34]
3 years ago
11

Define Linear Pair. Choose one of the answer choices

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer:

A pair of opposite angles formed by two intersecting lines (option C)

Step-by-step explanation:

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The GCF of 15 and 25 would be 5
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Yes

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A certain disease has an incidence rate of 0.7%. If the false negative rate is 5% and the false positive rate is
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Make x the subject of the formula <br><br> x/3z = y-2
wlad13 [49]

Answer:

x = 3z(y - 2)

Step-by-step explanation:

Given

\frac{x}{3z} = y - 2 ( multiply both sides by 3z to clear the fraction )

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3 years ago
Help me please it’s due today
Zolol [24]

Answer:

49 ft  

Step-by-step explanation:

h(t) = 56t - 16t²

This is the equation of a parabola.

We must solve the equation to find the time (t) when the ball reaches its maximum height (h).  

The coefficient of t² is negative, so the parabola opens downward, and the vertex is a maximum.

One way to solve this problem is to convert the equation to the vertex form.

We do that by completing the square.

Calculation:

h = -16t² + 56t  

Divide both sides by -16 to make the coefficient of  t² equal to 1.

(-1/16)h = t² - ⁷/₂t

Square half the coefficient of t

(-7/4)² = 49/16

Add and subtract it on the right-hand side

(-1/16)h = t² - ⁷/₂t  + 49/16 - 49/16  

Write the first three terms as the square of a binomial

(-1/16)h = (t - ⁷/₄)² - 49/16

Multiply both sides by -16

h = -16(t - ⁷/₄)² + 49

You have converted your equation to  the vertex form of a parabola:

y = a(t - h)² + k = 0,

where (h, k) is the vertex.

h = ⁷/₄ and k = 49, so the vertex is at (⁷/₄, 49).

The time to reach maximum height is ⁷/₄ s = 1.75 s.

The graph below shows that the ball reaches a maximum height of 49 ft after 1.75 s.

5 0
2 years ago
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