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Effectus [21]
3 years ago
12

Construct the triangle dce using as coordinates of its vertices points d(−4, 0), c(0, −2), and e(5,3). Find the coordinates of i

ntersection of side ce with the x-axis.
Mathematics
1 answer:
Naily [24]3 years ago
4 0

Answer:

So, coordinate of intersection point  = (2,0)

Explanation:

Given a triangle DCE whose coordinate of the vertex are :

D(−4, 0), C(0, −2), and E(5,3)

We will find the equation of CE

Firstly find the slope of CE

Slope (m) = \frac{y_{2} - y_{1}  }{x_{2} - x_{1}}

m = \frac{3-(-2)}{5-0} = 1

Equation of line is :

y - y₁ = m(x - x₁)

y - (-2) = 1(x-0)

y + 2 = x                   equation of CE

Find the intersection point of CE and x-axis

Put y = 0 to find the x-intercept

0 + 2 = x

x = 2

So, coordinate of intersection point  = (2,0)

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Answer:

60

Step-by-step explanation:

What we know:

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Equation:

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Substitute:

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Add:

3x + 6x = 180

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/9     /9

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GFH = 60

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3 years ago
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Why do test makers refer to the first term in a sequence as a sub zero sometimes as opposed to a sub 1?
Kaylis [27]

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<h3>How to explain the sequence statement?</h3>

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Take for instance a₂ or T₂ represents the second term.

However, when the first term is represented by a₀ instead of a₁.

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Even though the words "first" and "initial" are synonyms, they do not entirely represent the same thing.

Take for instance, a₀ can be used instead of a₁ in the following scenario

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The above means that:

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2 years ago
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Answer:

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Step-by-step explanation:

5 years is equivalent to (5 × 12) = 60 months

Now, the first payment $670 is compounded for 60 months at the rate of \frac{8}{12} = 0.667% monthly interest.

So, it will become 670(1 + \frac{0.667}{100})^{60} = 670(1.0067)^{60}.

Similarly the second payment of $670 will become 670(1.0067)^{59}

Therefore, in this way after 60 months i.e. 5 years the total sum will be

= 670 + 670(1.0067)^{1} + 670(1.0067)^{2} + 670(1.0067)^{3} + ........ + 670(1.0067)^{59} + 670(1.0067)^{60}

= 670[1 + (1.0067) + (1.0067)^{2} + (1.0067)^{3} + ....... + (1.0067)^{59} + (1.0067)^{60} ]

= 670[1 \times \frac{(1.0067)^{61} - 1 }{1.0067 - 1} ]

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almond37 [142]

Answer:

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2 years ago
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