Let's solve your equation step-by-step.<span><span>−<span>8<span>(<span>y+4</span>)</span></span></span>=<span><span>10y</span>+4
</span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>8<span>(<span>y+4</span>)</span></span></span>=<span><span>10y</span>+4
</span></span><span>Simplify: </span><span><span><span><span>(<span>−8</span>)</span><span>(y)</span></span>+<span><span>(<span>−8</span>)</span><span>(4)</span></span></span>=<span><span>10y</span>+4</span></span>(Distribute)<span><span><span><span>−<span>8y</span></span>+</span>−32</span>=<span><span>10y</span>+4</span></span><span><span><span>−<span>8y</span></span>−32</span>=<span><span>10y</span>+4
</span></span>Step 2: Subtract 10y from both sides.<span><span><span><span>−<span>8y</span></span>−32</span>−<span>10y</span></span>=<span><span><span>10y</span>+4</span>−<span>10y</span></span></span><span><span><span>−<span>18y</span></span>−32</span>=4
</span>Step 3: Add 32 to both sides.<span><span><span><span>−<span>18y</span></span>−32</span>+32</span>=<span>4+32</span></span><span><span>−<span>18y</span></span>=36
</span>Step 4: Divide both sides by -18.<span><span><span>−<span>18y</span></span><span>−18</span></span>=<span>36<span>−18</span></span></span><span>y=<span>−2
</span></span>Answer:<span>y=<span>−<span>2
Good luck mate :P</span></span></span>
Answer:
(x, y ) → (x + 2, y - 4 )
Step-by-step explanation:
Compare the coordinates of 2 corresponding points in the original and the image, that is
B(- 5, 4 ) → B'(- 3, 0 )
To translate from B → B'
We require a shift of 2 units right in the x direction and 4 units down in the y direction, that is
(x, y ) → (x + 2, y - 4 ) ← translation rule
Answer:
4:12 6:18 :) I hope this is ok (I haven't done ratios in a while lol)
Answer:
The square root of 245 is a rational number
Step-by-step explanation:
The square root of 245 is about 15.9, or rounded: 16. 16 is not an irrational number.
Answer: x > -12
-2x + 12 < 36
Subtract 12 from both sides
-2x < 24
Divide both sides by -2
Because you divided by a negative number, flip the sign
x > -12
Check
Choose a value for x
-11 > -12
-2(-11) + 12 < 36
22 + 12
34 < 36; is True