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PilotLPTM [1.2K]
3 years ago
5

Find the slope of the line parallel to y=-2/3x +4/5

Mathematics
1 answer:
sesenic [268]3 years ago
7 0

Answer:

-2/3

Step-by-step explanation:

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Which equation represents the line that passes through the points (-5,2) and (9,0)
V125BC [204]

Step-by-step explanation:

<em>Given </em><em>points </em>

<em>(</em><em> </em><em>-</em><em>5</em><em> </em><em>,</em><em> </em><em>2</em><em>)</em><em> </em><em>and </em><em>(</em><em>9</em><em> </em><em>,</em><em> </em><em>0</em><em>)</em>

<em>First </em><em>calculating </em><em>slope(</em><em>m</em><em>)</em>

<em>=</em><em> </em><em>(</em><em> </em><em>y2 </em><em>-</em><em> </em><em>y1</em><em>) </em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>x2 </em><em>-</em><em> </em><em>x1</em><em>) </em>

<em>=</em><em> </em><em>(</em><em> </em><em>0</em><em>-</em><em>2</em><em>)</em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>9</em><em>+</em><em>5</em><em>)</em>

<em>=</em><em> </em><em>-</em><em>2</em><em> </em><em>/</em><em> </em><em>1</em><em>4</em>

<em>=</em><em> </em><em>-</em><em>1</em><em>/</em><em>7</em>

<em>Now </em><em>The </em><em>equation </em><em>of </em><em>line </em><em>is </em><em>given </em><em>by </em>

<em>y </em><em>-</em><em> </em><em>y1 </em><em>=</em><em> </em><em>m </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>x1) </em>

<em>y </em><em>-</em><em>2</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>/</em><em>7</em><em> </em><em>(</em><em>x </em><em>+</em><em> </em><em>5</em><em>)</em>

<em>7</em><em>(</em><em> </em><em>y </em><em>-</em><em> </em><em>2</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>(</em><em>x</em><em> </em><em>+</em><em> </em><em>5</em><em>)</em>

<em>7y </em><em>-</em><em> </em><em>1</em><em>4</em><em> </em><em>=</em><em> </em><em>-</em><em>x </em><em>-</em><em>5</em>

<em>x </em><em>+</em><em> </em><em>7y </em><em>-</em><em>1</em><em>4</em><em> </em><em>+</em><em>5</em><em> </em><em>=</em><em> </em><em>0</em>

<em>x </em><em>+</em><em> </em><em>7y </em><em>-</em><em> </em><em>9</em><em> </em><em>=</em><em> </em><em>0</em><em> </em>

<em>Which </em><em>is </em><em>the </em><em>required </em><em>equation </em>

7 0
3 years ago
Need help if anybody can help.​
Darina [25.2K]

Answer:

46.5

Step-by-step explanation:

Of all straight angles have 180 degrees in them.

So, to find x we need to form this equation:

x + 65 + x - 22 = 180

2x + 43 = 180

2x = 180-43

2x = 137

68.5 degrees = x

68.5-22 = 46.5 degrees.

m<CBD = 46.5 degrees.

m<GBF = also 46.5 degrees because it is a vertical angle to <46.5 degrees.

8 0
2 years ago
Find the number of permutations in the word fission <br> 1020<br> 1500<br> 1260<br> 2400
irina [24]
There are 7 letters in fission, which we'll use as a factorial in the numerator. Of those 7 letters, there are two I's and two S's. To account for these repeating letters, we'll use the factorials of how many times the letters repeat and plug them into the denominator.

The factorial of 7 should be your numerator, and two factorials of 2 should be your denominator:

\frac{7!}{2! \times 2!} =  \frac{5040}{2 \times 2} =  \frac{5040}{4} =  1260

There are 1260 different permutations of the word fission.
5 0
3 years ago
What are the roots of the quadratic equation below?<br> x2 + 2x= -5
muminat

Answer:

No real root.

Complex roots:

x = -1 \pm 2i

Step-by-step explanation:

x^2 + 2x = -5

x^2 + 2x + 5 = 0

There are no two integers whose product is 5 and whose sum is 2, so this trinomial is not factorable. We can use the quadratic formula.

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

x = \dfrac{-2 \pm \sqrt{2^2 - 4(1)(5)}}{2(1)}

x = \dfrac{-2 \pm \sqrt{4 - 20}}{2}

x = \dfrac{-2 \pm \sqrt{-16}}{2}

Since we have a square root of a negative number, there are no real roots. If you have learned complex numbers, then we can continue.

x = \dfrac{-2 \pm 4i}{2}

x = -1 \pm 2i

7 0
3 years ago
Read 2 more answers
Given that f(x)=3x+5 and g(x)=x^3, find (f ° g)(-2)
grin007 [14]
Equal f(g(-2))
=f(-8)
= -19
3 0
4 years ago
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