Let's solve your equation step-by-step.<span><span>−<span>3x</span></span>=<span><span>5x</span>+8</span></span>Step 1: Subtract 5x from both sides.<span><span><span>−<span>3x</span></span>−<span>5x</span></span>=<span><span><span>5x</span>+8</span>−<span>5x</span></span></span><span><span>−<span>8x</span></span>=8</span>Step 2: Divide both sides by -8.<span><span><span>−<span>8x</span></span><span>−8</span></span>=<span>8<span>−8</span></span></span><span>x=−1 Answer =-1 I used a calculator </span>
The <em><u>correct answer</u></em> is:
Rotation of 90° counterclockwise about the origin and a translation 2 units right
Explanation:
A rotation 90° counterclockwise maps each point (x, y) to (-y, x). This means our points would be:
A(-4,3)→(-3, 4); B(-1,3)→(-3, -1); C(-2,1)→(-1, -2)
A translation 2 units right will add 2 units to the new x-coordinates; this gives us
(-3, 4)→(-1, 4); (-3, -1)→(-1, -1); and (-1, -2)→(1, -2)
These are the points in the image, so this is the correct set of transformations.
Answer:0.2 gallons and 1.6 pints
Step-by-step explanation:
1 gallon = 8 pint
1 gallon / 5=0.2 gallon
8 pint / 5=1.6 pint
