(−3y^2−7y−9)−(4y^2+6y+9). To solve this you must:
Distribute the negative sign like this:<span>
=<span><span><span><span>−<span>3y^2</span></span>−7y</span>−9</span>+<span>−1<span>(<span><span><span>4y^2</span>+6y</span>+9</span>)
</span></span></span></span><span>=<span><span><span><span><span><span><span><span>−<span>3y^2</span></span>+</span>−7y</span>+</span>−9</span>+<span>−1<span>(<span>4y^2</span>)</span></span></span>+<span>−1<span>(6y)</span></span></span>+<span><span>(−1)</span>(9)</span></span></span><span>
=<span><span><span><span><span><span><span><span><span><span><span>−<span>3y^2</span></span>+</span>−7y</span>+</span>−9</span>+</span>−<span>4y^2</span></span>+</span>−6y</span>+</span>−9
</span></span>Then combine Like Terms:<span>
=<span><span><span><span><span><span>−<span>3y^2</span></span>+<span>−7y</span></span>+−9</span>+<span>−<span>4y^2</span></span></span>+<span>−6y</span></span>+−9</span></span><span>
=<span><span><span>(<span><span>−<span>3y^2</span></span>+<span>−<span>4y^2</span></span></span>)</span>+<span>(<span><span>−7y</span>+<span>−6y</span></span>)</span></span>+<span>(<span>−9+−9</span>)</span></span></span><span>
=<span><span><span>−<span>7y^2</span></span>+<span>−13y</span></span>+−18
</span></span><span>So you would get an answer of </span>−7y^2−13y−18.
Hope this helped!
Answer:
11,232,000 different plates
Step-by-step explanation:
Figure it out like this:
2letters × 3digits × 1letter
Nothing can repeat. There are 26 letters in the alphabet. If we use 1 of those letters, then there are only 25 letters left to choose from. That's why we start with 26 × 25.
Now for the digits, we have 10 choices for the first digit, then 9 choices for the second digit, then 8 choices for the third digit. That's why we follow the letters with 10 × 9 × 8.
For the last letter, we had 24 choices left, so the whole thing is found by multiplying:
26 × 25 × 24 × 10 × 9 × 8 × 24 = 11,232,000
Answer:
23.49 in.
Step-by-step explanation:
Formula for area of triangle: 1/2 * b * h
1/2 * 16.2 = 8.1
8.1 * 2.9 =23.49 in.
