9514 1404 393
Answer:
y -4 = -2(x -(-11))
Step-by-step explanation:
The point slope formula is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
So, the boxes in order from left to right are k, m, h.
The problem statement tells you the point is (-11, 4), so h = -11, k = 4. It also tells you the slope is -2, so m = -2.
Putting these numbers in the required order, we have k = 4, m = -2, h = -11 and the equation of the line is ...
Δ DUM Δ MAP
hypotenuse: 15 2y-3
short leg: 12 0.5x + 6
y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM
SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.
Yes. In fact 
is a Pythagorean triple or simply right triangle where all sides are in 
.
Hope this helps.
Answer:
12/5hours=2.4 hours
Step-by-step explanation:
Sam:6hours
Tom:4hours
This is a rate problem
Sam's rate is one job completed in 6 hours which is 1/6
Tom's rate is one job completed in 4 hours which is 1/4
Together, they could complete 1/4+1/6 of the job in y hours
We are trying to find the rate at which Sam and Tom could complete the job together, or one job in x days, for a rate of 1/y
1/4+1/6=1/y
The least common denominator is 12y
Multiplying through by the LCD which gives:
12y(1/4)+ 12y (1/6)= 12y (1/y)
3y + 2y=12
5y = 12
y=12/5 hours=2.4hours
Therefore it will take 12/5 hours or 2.4 hours to complete the job if they work together
