Answer:you get two answers. y+6=-7/4(x+5) or y-1=-7/4(x+5)
Step-by-step explanation:
By the way the 7/4 is negative if you could not tell. You get this answer by finding the slope which is 1- -6/-5- -1 and get -7/4. Then you plug it into the formula y-y1=slope(x-x1). When you plug it in you should get that answer.
The answer for this is Substitution property
Substitution Property is considered as one of the most intuitive of the mathematical properties that you'll probably encounter. You may have been using substitution without even knowing it. This property says that if x=y, then in any true equation involving y, you can replace y with x, and yet you'll still have a true equation.
Take a look at the attached example shown below.
I believe it is 25.
15/24=x/40
cross multiply to get
15*40=24x
600=24x
x=25
Answer:
-12 47/60
Step-by-step explanation:
-(1 1/5) + (-8 3/4 -2 5/6) = -(1 + 8 + 2 + 1/5 + 3/4 + 5/6)
= -(11 + 12/60 +45/60 +50/60) . . . 60 is the LCD of 1/5, 3/4, 5/6
= -(11 + 107/60) . . . . . . . . . . . . . . . . add the fractions
= -(12 47/60) = -12 47/60 . . . . . . . write as a mixed number
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Your graphing calculator may be able to do this for you. Many handle mixed numbers with ease.
We have been given that a bag of uninflated balloons contains 10 red, 12 blue, 15 yellow and 8 green balloons.
We need to find the probability of drawing a red balloon.
We know that probability is given by
![\\ \text{Probability =} \frac{\text{Favorable outcomes}}{\text{Total outcomes}}](https://tex.z-dn.net/?f=%5C%5C%0A%5Ctext%7BProbability%20%3D%7D%20%5Cfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
Since we know that there are 10 red balloons. Therefore, our number of favorable outcomes is 10.
In order to find the total number of outcomes, we will add balloons of all colors.
Therefore, total outcomes are = ![10+12+15+8 = 45](https://tex.z-dn.net/?f=10%2B12%2B15%2B8%20%3D%2045)
We can now substitute the values of favorable outcomes and total outcomes in order to find the required probability.
![\\ \text{Probability =} \frac{\text{10}}{\text{45}} = \frac{2}{9}](https://tex.z-dn.net/?f=%5C%5C%0A%5Ctext%7BProbability%20%3D%7D%20%5Cfrac%7B%5Ctext%7B10%7D%7D%7B%5Ctext%7B45%7D%7D%20%3D%20%5Cfrac%7B2%7D%7B9%7D)