$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================$

$\text{We have}\ y=\dfrac{1}{5}x+10\to m_1=\dfrac{1}{5}\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{5}}=-5.\\\\\text{Put the value of a slope and the coordinates of the point (-3, 5)}\\\text{to the equation}\ y=mx+b:\\\\5=-5(-3)+b\\5=15+b\qquad\text{subtract 15 from both sides}\\-10=b\to b=-10\\\\\text{Finally:}\\\\y=-5x-10$

7 0

3 years ago

Solve for all values of x by factoring. x^2+3x+8=-3x+3

docker41 [41]

Answer:

x = -1,-5

Step-by-step explanation:

X^2 + 3x + 5 = -3x

x^2 + 6x + 5 = 0

(x + 5)(x + 1) = 0

x = -1,-5

6 0

3 years ago

Question 5

DochEvi [55]

7383838hdueheheheueuwjhwwhjwiw82828182828

7 0

2 years ago

Each egg carton holds one dozen eggs. Michael's chicken farm fills 121 egg cartons. He thinks that there were over 1500 eggs. Is

Kobotan [32]

121 x 12 = 1452 so over 1500 is not a correct estimate. Less than 1500 is the right estimate

3 0

3 years ago