Answer:
<h2>y = 5x + 11</h2>
Step-by-step explanation:
![\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-\text{slope}\\b-\text{y-intercept}\\\\\text{Let}\\\\k:y=m_1x+b_1\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2\\=========================](https://tex.z-dn.net/?f=%5Ctext%7BThe%20slope-intercept%20form%20of%20an%20equation%20of%20a%20line%3A%7D%5C%5C%5C%5Cy%3Dmx%2Bb%5C%5C%5C%5Cm-%5Ctext%7Bslope%7D%5C%5Cb-%5Ctext%7By-intercept%7D%5C%5C%5C%5C%5Ctext%7BLet%7D%5C%5C%5C%5Ck%3Ay%3Dm_1x%2Bb_1%5C%5Cl%3Ay%3Dm_2x%2Bb_2%5C%5C%5C%5Ck%5C%20%5Cperp%5C%20l%5Ciff%20m_1m_2%3D-1%5Cto%20m_2%3D-%5Cdfrac%7B1%7D%7Bm_1%7D%5C%5C%5C%5Ck%5C%20%7C%7C%5C%20l%5Ciff%20m_1%3Dm_2%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![\text{We have}\ y=5x+2\to m_1=5\\\\\text{therefore}\ m_2=5.\\\\\text{Put the value of the slope and the coordinates of the given point (-2, 1)}\\\text{to the equation of a line:}\\\\1=5(-2)+b\\1=-10+b\qquad\text{add 10 to both sides}\\1+10=-10+10+b\\11=b\to b=11\\\\\text{Finally:}\\\\y=5x+11](https://tex.z-dn.net/?f=%5Ctext%7BWe%20have%7D%5C%20y%3D5x%2B2%5Cto%20m_1%3D5%5C%5C%5C%5C%5Ctext%7Btherefore%7D%5C%20m_2%3D5.%5C%5C%5C%5C%5Ctext%7BPut%20the%20value%20of%20the%20slope%20and%20the%20coordinates%20of%20the%20given%20point%20%28-2%2C%201%29%7D%5C%5C%5Ctext%7Bto%20the%20equation%20of%20a%20line%3A%7D%5C%5C%5C%5C1%3D5%28-2%29%2Bb%5C%5C1%3D-10%2Bb%5Cqquad%5Ctext%7Badd%2010%20to%20both%20sides%7D%5C%5C1%2B10%3D-10%2B10%2Bb%5C%5C11%3Db%5Cto%20b%3D11%5C%5C%5C%5C%5Ctext%7BFinally%3A%7D%5C%5C%5C%5Cy%3D5x%2B11)
Answer:
9
Step-by-step explanation:
Using the rules of logarithms
log
= nlogx
b = 1
Then
![x^{9}](https://tex.z-dn.net/?f=x%5E%7B9%7D)
= 9
x
= 9
Answer:
h = 15
Step-by-step explanation:
Use Pythagorean Theorem to solve for h.
a² + b² = c²
8² + h² = 17²
64 + h² = 289
h² = 225
h = 15
The answer to your problem should be 5 wholes and 5/6 since the denominators are the same just add 6 more pieces to 4/6 to get an improper fraction then subtract to get the answer. Hope this helps and have a fabulous day!