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irinina [24]
2 years ago
8

A car is moving 70 miles per hour. how far does it travel in 16secs

Mathematics
1 answer:
zhuklara [117]2 years ago
6 0

Answer:

180

Step-by-step explanation:

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Identify the conic whose equation is given.
irina1246 [14]

Answer:

Hyperbola  

Step-by-step explanation:

The polar equation of a conic section with directrix ± d  has the standard form:

r=ed/(1 ± ecosθ)

where e = the eccentricity.

The eccentricity determines the type of conic section:

e = 0       ⇒ circle

0 < e < 1  ⇒ ellipse

e = 1        ⇒ parabola

e > 1        ⇒ hyperbola

Step 1. <em>Convert the equation to standard form </em>

r = 4/(2 – 4 cosθ)

Divide numerator and denominator by 2

r = 2/(1 - 2cosθ)

Step 2. <em>Identify the conic </em>

e = 2, so the conic is a hyperbola.

The polar plot of the function (below) confirms that the conic is a hyperbola.

5 0
3 years ago
Anybody know the answer I need help. Please
Evgen [1.6K]

Answer:

  \dfrac{p^2+9p+2}{p^2-49}

Step-by-step explanation:

Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.

  \dfrac{5-p}{49-p^2}+\dfrac{p+1}{p-7}=\dfrac{p-5}{p^2-49}+\dfrac{p+1}{p-7}\\\\=\dfrac{p-5}{(p-7)(p+7)}+\dfrac{p+1}{p-7}\cdot\dfrac{p+7}{p+7}\\\\=\dfrac{(p-5)+(p+1)(p+7)}{(p-7)(p+7)}=\dfrac{p-5+p^2+8p+7}{p^2-49}=\dfrac{p^2+9p+2}{p^2-49}

8 0
3 years ago
Complete the equation of the line through (-10,-7)(−10,−7)(, minus, 10, comma, minus, 7, )and (-5,-9)(−5,−9)(, minus, 5, comma,
Tanzania [10]

Answer:

y = -\frac{2}{5}\cdot x - 11

Step-by-step explanation:

First, the slope is determined by using the following expression:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{-7-(-9)}{-10 - (-5)}

m = -\frac{2}{5}

The y-intercept is found by using the line equation, the slope and one point:

y = m \cdot x +b

b = y - m\cdot x

b = -7 - \left(-\frac{2}{5}\right)\cdot (-10)

b = -11

The equation of the line is:

y = -\frac{2}{5}\cdot x - 11

7 0
3 years ago
Mike has a stack of 10 cards numbered 1 to 10 if he randomly chooses two cards without replacing the first one drawn what is the
Gekata [30.6K]
4 out of 10 because the amount of prime numbers from 1- 10 is 

2, 3, 5, and 7.

Hope this helps!

7 0
3 years ago
Read 2 more answers
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the lateral area of the pyramid.
aleksandr82 [10.1K]
It should be 72 in^2.
7 0
3 years ago
Read 2 more answers
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