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Sunny_sXe [5.5K]
3 years ago
6

What is the slope of the line that passes through the points (-2,-1) and (2,-3) answer in simplest form

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
5 0

Answer:

Step-by-step explanation:

(-3 + 1)/(2 + 2)= -2/4= -1/2 is the slope

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To multiply fractions you multiply the numerator and that becomes the answer to the numerator
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2/5 * 3/6 = 6/30 = 1/5
8 0
3 years ago
Read 2 more answers
(1 point) Find two unit vectors orthogonal to a=⟨4,5,0⟩a=⟨4,5,0⟩ and b=⟨0,1,−3⟩b=⟨0,1,−3⟩ Enter your answer so that the first no
Anni [7]

Answer:

 First vector

V=+ \dfrac{-15i+12j+4k}{\sqrt{385}}

Second vector

V=- \dfrac{-15i+12j+4k}{\sqrt{385}}

Step-by-step explanation:

Given that

Vector a ,  a= 4 i + 5 j + 0 k

Vector b , b= 0 i + 1 j  - 3 k

The orthogonal vector V is given as

V = a x b

V is the cross product of the above two vector which is orthogonal to the vectors a and b.

V=\begin{vmatrix}i & j & k\\ 4 & 5 & 0\\  0& 1 &-3 \end{vmatrix}\\V=i(-15-0)-j(-12-0)+k(4-0)\\V=-15i+12j+4k

The unit vectors

V=\pm \dfrac{-15i+12j+4k}{\sqrt{15^2+12^2+4^2}}\\\\V=+\dfrac{-15i+12j+4k}{\sqrt{385}}\\V=-\dfrac{-15i+12j+4k}{\sqrt{385}}

First vector

V=+ \dfrac{-15i+12j+4k}{\sqrt{385}}

Second vector

V=- \dfrac{-15i+12j+4k}{\sqrt{385}}

5 0
3 years ago
‼️help please ASAP ‼️
Lana71 [14]
The answer to this question is true. The equation (x-h)^2+(y-k)^2 = r^2 represents a circle with a center at (h,k). Taking (h,k) = (-2,2) and r = 3 results in (x+2)^2 + (y-2)^2 = 9. A negative subtracted by a negative is a positive.
3 0
3 years ago
A rectangular desktop is 30 inches wide and 54 inches long. The edges of the desktop will be trimmed with special wood. How many
Natalija [7]
168 since the perimeter is all that is needed, right?
8 0
3 years ago
What is an equivalent expression ​
maksim [4K]

Answer:

1st option

Step-by-step explanation:

using the rules of logarithms

• log x + log y = log xy

• n logx ⇔x^{n}

given

2log_{2} 3 + log_{2} 3

= log_{2} 3² + log_{2} 3

= log_{2} 9 + log_{2} 3

= log_{2} (9 × 3)

= log_{2} 27

5 0
2 years ago
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