Answer:
0
Step-by-step explanation:
![p_1:~~y = x^2+2\\p_2:~~y = 3x^2+2\\ \\ V{p_1} = \Big(-\dfrac{b}{2a}, -\dfrac{\Delta}{4a}\Big) = \Big(-\dfrac{0}{2}, -\dfrac{0^2-4\cdot 2}{4}\Big) = \Big(0,2\Big) \\ \\ Vp_2 = \Big(x_V, -\dfrac{\Delta}{4a}\Big) = \Big(0, -\dfrac{0^2-4\cdot 3 \cdot 2}{4\cdot 3}\Big) = \Big(0,2\Big) \\ \\ \\ \text{The distance is }0,~~\text{Because the vertices are equal.}](https://tex.z-dn.net/?f=p_1%3A~~y%20%3D%20x%5E2%2B2%5C%5Cp_2%3A~~y%20%3D%203x%5E2%2B2%5C%5C%20%5C%5C%20V%7Bp_1%7D%20%3D%20%5CBig%28-%5Cdfrac%7Bb%7D%7B2a%7D%2C%20-%5Cdfrac%7B%5CDelta%7D%7B4a%7D%5CBig%29%20%3D%20%5CBig%28-%5Cdfrac%7B0%7D%7B2%7D%2C%20-%5Cdfrac%7B0%5E2-4%5Ccdot%202%7D%7B4%7D%5CBig%29%20%3D%20%5CBig%280%2C2%5CBig%29%20%5C%5C%20%5C%5C%20Vp_2%20%3D%20%5CBig%28x_V%2C%20-%5Cdfrac%7B%5CDelta%7D%7B4a%7D%5CBig%29%20%3D%20%5CBig%280%2C%20-%5Cdfrac%7B0%5E2-4%5Ccdot%203%20%5Ccdot%202%7D%7B4%5Ccdot%203%7D%5CBig%29%20%3D%20%5CBig%280%2C2%5CBig%29%20%5C%5C%20%5C%5C%20%5C%5C%20%5Ctext%7BThe%20distance%20is%20%7D0%2C~~%5Ctext%7BBecause%20the%20vertices%20are%20equal.%7D)
Answer:
<h2>-25b + 101</h2>
Step-by-step explanation:
![-8(2b-7)-9(b-5)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\=(-8)(2b)+(-8)(-7)+(-9)(b)+(-9)(-5)\\\\=-16b+56-9b+45\qquad\text{combine like terms}\\\\=(-16b-9b)+(56+45)\\\\=-25b+101](https://tex.z-dn.net/?f=-8%282b-7%29-9%28b-5%29%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%3A%7D%5C%20a%28b%2Bc%29%3Dab%2Bac%5C%5C%5C%5C%3D%28-8%29%282b%29%2B%28-8%29%28-7%29%2B%28-9%29%28b%29%2B%28-9%29%28-5%29%5C%5C%5C%5C%3D-16b%2B56-9b%2B45%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%28-16b-9b%29%2B%2856%2B45%29%5C%5C%5C%5C%3D-25b%2B101)
Answer:
5
Step-by-step explanation:
Answer:
1. <I and <J are vertical angles
2. <G and <H form supplemantary angles
3. <G and <C are corresponding angles
4. <G and <F are alternate interiors
5. <I and <D are alternate exteriors