To help solve this, we need to use the slope formula.
(y2 - y1) / (x2 - x1). We get these values by picking two points on a line.
For JL, we will pick points (-5, -3) and (-2, -4).
y1 = -4
y2 = -3
x1 = -2
x2 = -5.
Let's plug these into our formula.
(-3) - (-4) / (-5) - (-2) = -1/3
For LN, we will pick points (-2, -4) and (7, -7).
y1 = -7
y2 = -4
x1 = 7
x2 = -2.
Lets plug these values into our equation.
(-4) - (-7) / (-2) - (7) = -1/3
Therefore,
(-3) - (-4) / (-5) - (-2) = (-4) - (-7) / (-2) - (7)
The correct answer is G.
Answer:
9/8
Step-by-step explanation:
3/4 ÷ 2/3
= 3/4 x 3/2
= (3 x 3)/ (4 x 2)
= 9/8
Answer:
b=A/h-a
Step-by-step explanation:
A=h(a+b)
a+b=A/h
b=A/h-a
To solve this problem, you must name a variable, create expressions representing the parts of the problem, and then set up an equation.
Let Tim's age today be t. Since Tim's mom's age five years ago was 3 times Tim's current age, Tim's mom's current age is equal to 3t + 5.
Their ages are collectively 45, so Tim's age t and Tim's mom's age 3t + 5 must be equal to 45. Set up an equation and solve for the variable t.
45 = t + (3t + 5)
45 = t + 3t + 5
45 = 4t + 5
40 = 4t
10 = t
Tim is currently 10, and after plugging 10 for t into 3t + 5, we see that Tim's mom is 35.
Now let's check our work. Their combined ages are 45; 10 plus 35 is equal to 45, so that is correct. Further, addressing the "Five years ago, Tim's mom was three times Tim's age today" bit, we see that 10 - Tim's current age - times 3 is equal to 30, which would be Tim's mom's age 5 years ago.
Answer:
Today, Tim's mom is 35.
