Answer:
y = -3x - 3.
Step-by-step explanation:
Find the slope of the line JK:
Slope = (6-4)/(3- (-3))
= 2 / 6
= 1/3.
Therefore the slope of the line perpendicular to it is - 1 / 1/3
= -3.
Now we use the point-slope form of a line to get the required equation:
y - y1 = m(x - x1)
Here m = -3 and (x1, y1) = (3, -12) so we have
y - (-12) = -3(x - 3)
y + 12 = -3x + 9
y = -3x + 9 - 12
y = -3x - 3 is the answer.
Answer:
![\frac{x-7}{-2}=-10](https://tex.z-dn.net/?f=%5Cfrac%7Bx-7%7D%7B-2%7D%3D-10)
Explanation:
A quotient of two numbers is a fraction with the first number being in the numerator (top) and the other number in the denominator (bottom). The statement calls for a "number" decreased by 7. That number is unknown but we have to give it a name, so, for example, "x." Therefore (x-7) is in the numerator. Negative 2, or -2 is "the other number" of the quotient and so it is in the denominator. Finally, the quotient is supposed to equal negative 10, or "=-10" which is the right-hand side, completing the equation.
For your interest, if you solve the equation, you will get x = 27, and you can check that the equation holds. "27 decreased by 7, divided by -2 equals -10."
Answer:
g=79
h=55
j=75
Step-by-step explanation:
1. When a transversal intersects two parallel lines corresponding angles, angles that are located in the same relative position an intersection of transversal and two or more straight lines, are congruent. Therefore g=79.
2. Since the two lines are parallel same side interior angles are supplementary. This means they add up to 180. So to find h solve the equation h+125=180. Once solved you get 55.
3. Like question 2, these angles are same side interior and therefore supplementary. To find j solve the equation j+105=180, which gets j=75.
Find the expected value of each case
<span>1 comes up ---> 1/6 (-10) = -10/6 </span>
<span>3 comes up ---> 1/6 (-30) = -30/6 </span>
<span>5 comes up ---> 1/6 (-50) = -50/6 </span>
<span>2 comes up ---> 1/6 (10) = 10/6 </span>
<span>4 comes up ---> 1/6 (20) = 20/6 </span>
<span>6 comes up ---> 1/6 (30) = 30/6 </span>
<span>sum = 1/6 (-10 -30 -50 +10 +20 +30) = -30/6 = -5 </span>
Answer:
The answer on Edg. is B, (it has a closed circle at -5 with an arrow pointing to the left, and it has an open circle at 5 going to the right) . Hope this helps good luck!