Answer:
y=2x-20
Step-by-step explanation:
For perpendicular lines, find the opposite reciprocal of the original slope. The opposite reciprocal of the slope of this line (-1/2) is positive 2
3/5g-(1/3)=(-10/3)
move the 1/3 over
3/5g=(-10/3)+(1/3) (notice the + sign)
3/5g= (-9/3)
3/5g=(-3)
move the 3/5 over (divide)
g= (-3/(3/5))
g= (-3x5/3)
g= -15/3
g= -5
Step-by-step explanation:
Just graph it and see if the descriptions fit the graph
(see attached)
A. We can see from the graph that the possible x-values are -∞ ≤ x ≤ +∞ . Hence limiting to domain to x≤ -2 this is obviously not true.
B. We can see from the graph that the vertex is y = 6 and that the entirety of the graph is under this point, hence range y<6 is true
C. We can see that the vertex is located at x=-2. Every part of the graph to the left of this point has a positive slope, hence the function is increasing for negative infinity to this point x=-2 is true
D) We can see that for the interval -4<x<∞, the graph actually increases between -4<x<-2, and then decreases after that. Hence this statement is not true.
E. it is obvious that the y intercept is y=2 which is positive. Hence this is true.
Answer:
■ = 7
Explanation:
Because there two ratios are proportional as a result of being equal.
To find the missing part of the ratio, cross multiply, and solve for ■ by converting them into their equivilent fractions.
i.e a : b = a/b.
So 4 : ■ becomes 4/■. And 8 : 14 becomes 8/14.
i.e a/b = c/d → b × c = a × d → bc = ad
Now 4/■ = 8/14 → ■ × 8 = 14 × 4 → 8■ = 56.
8■/8 = 56/8
1■ = 7
■ = 7
This method works for a missing part pretty much anywhere.
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This is a little faster for ratios:
To find the value of the unknown part of the ratio,
just find the factor between two corresponding numbers, and apply that to the known number corresponding to the unknown part.
4 : ■ = 8 : 14
Notice that 4 corresponds to 8
So the factor between these is 2.
Since from 8 to 4 is a multiple of 1/2. 8 × 1/2 = 4, and 14 × 1/2 = ■.
Therefore ■ = 14 × 1/2 = 14/2 = 7
