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frez [133]
3 years ago
6

How can you use slope to determine whether the parallelogram is a rectangle?

Mathematics
1 answer:
Kazeer [188]3 years ago
4 0

Step-by-step explanation:

To do this we need to calculate the slope of each side. If we can show that the slopes of the opposite sides are the same, then the opposite sides are parallel. The slopes of the opposites were the same, so ABCD is a parallelogram.

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It is the slant side of the triangle its the longest side or in other words it forms a 90 degree angle the side thats going from top to bottom is you hypotenuse

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A deposit of $7,500 is made into a savings account which earns 5
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Thats easy the answer is b 
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A hiker walks 5 km/hr, how long does it take him to walk 48 km?
sladkih [1.3K]

Answer:

\sf 9.6\:hours \:\: or \:\: 576\: minutes

Explanation:

\sf Time \ taken : \dfrac{Distance}{Speed}

Here given:

  • distance: 48 km
  • speed: 5 km/hour

Applying formula,

\sf Time \ Taken = \dfrac{48}{5}  = 9.6 \ hours = 576 \ minutes

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2 years ago
What is the inverse of f(x) = 19/x^3
Gre4nikov [31]
Y = f (x) = 19 / x^3 and g (y) = x 
<span>g is inverse of f </span>

<span>x^3 = 19 / y </span>
<span>x = [ 19 / y ]^(1/3) </span>
<span>g (y) = [ 19 / y ]^(1/3) </span>
<span>g (x) = [ 19 / x ]^(1/3)________inverse function.</span>
6 0
3 years ago
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary
AlexFokin [52]

The sum of the first 8 terms is 2.51 to the nearest hundredth

Step-by-step explanation:

In the geometric sequence there is a constant ratio between each two consecutive terms

The formula of the sum of n terms of a geometric sequence is:

S_{n}=\frac{a(1-r^{n})}{1-r} , where

  • a is the first term
  • r is the constant ratio between the consecutive terms

∵ The sequence is 6 , -5 , 25/6 , .............

∵ -5 ÷ 6 = \frac{-5}{6}

∵ \frac{25}{6} ÷ -5 = \frac{-5}{6}

- There is a constant ratio between the consecutive terms

∴ The sequence is a geometric sequence

∵ The first term is 6

∴ a = 6

∵ The constant ratio is \frac{-5}{6}

∴ r =  \frac{-5}{6}

∵ We need to find the sum of 8 terms

∴ n = 8

- Substitute the values of a, r and n in the rule above

∴ S_{8}=\frac{6[1-(\frac{-5}{6})^{8}]}{1-(\frac{-5}{6})}

∴ S_{8}=2.511595508

- Round it to the nearest hundredth

∴ S_{8}=2.51

The sum of the first 8 terms is 2.51 to the nearest hundredth

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0
3 years ago
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