Answer:
Step-by-step explanation:
5x -x + 3x =30, first you combine like terms 5x + 3x-x=30
8x-x =30
8-1=7
7x=30
Answer:
good u?
Step-by-step explanation:
Since both are equivalent to y, the equations must be equivalent.
x^2-x-3= -3x+5
x^2+2x-8=0
(x+4)(x-2)=0
x=-4, x=2
Plug the values of x in to either equation
y=-3(-4)+5
y= 12+5
y=17
y= -3(2)+5
y=-6+5
y=-1
Final answer: (-4,17) and (2,-1)
Answer:
The ratio of the intensities is roughly 6:1.
Step-by-step explanation:
The intensity I() of an earthquake wave is given by:
<em>where P: is the power ans d: is the distance. </em>
Hence, the ratio of the intensities of an earthquake wave passing through the Earth and detected at two points 19 km and 46 km from the source is:

<em>where I₁ = P/4πd₁², d₁=19 km, I₁ = P/4πd₂² and d₂=46 km </em>

Therefore, the ratio of the intensities is roughly 6:1.
I hope it helps you!
The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
<h3>What is a transformation?</h3>
A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
<h3>The types of transformation.</h3>
In Geometry, there are different types of transformation and these include the following:
Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:
![\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C-1%260%5Cend%7Barray%7D%5Cright%5D)
Therefore, the image of triangle UVW would be given by this matrix:
![\left[\begin{array}{ccc}-3&8&6\\8&4&-8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%268%266%5C%5C8%264%26-8%5Cend%7Barray%7D%5Cright%5D)
Image = ![\left[\begin{array}{ccc}8&4&-8\\3&-8&-6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%264%26-8%5C%5C3%26-8%26-6%5Cend%7Barray%7D%5Cright%5D)
Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
Read more on transformations here: brainly.com/question/12518192
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