Answer:
x = -7
Step-by-step explanation:
The vertex form of this equation tells us it is a downward-opening parabola with its vertex at (-7, -3). The line of symmetry is the vertical line through the vertex: x = -7.
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Vertex form is ...
y = a(x -h) +k
where a is the vertical expansion factor, and (h, k) is the vertex. When a < 0, the parabola opens downward. When a > 0, it opens upward. (When a=0, the "parabola" is a horizontal line at y=k.)
Answer:
Step-by-step explanation:
Cross multiply, isolate the variable, and divide by the coefficient to solve.
Plug back in to check.
Answer:
104 in²
Step-by-step explanation:
If OR = 8 then 8 x 2 = 16
PM= (42-16)/2=13
Therefore area = 8 x 13 = 104 in²
To check the perimeter is right:
2(8+13) = 42
Answer:
The options are not shown, so i will answer in a general way.
Let's define the variables:
h = number of hats
m = number of mugs.
We know that a total of 1000 items were ordered, then:
h + m = 1000
We also know that we have 3 times more mugs than hats, this can be written as:
m = 3*h
Now we have the system of equations:
h + m = 1000
m = 3*h
To solve these, we usually start by isolating one of the variables in one equation and then replace that in the other equation, but in this case, we already have m isolated in the second equation, then we can replace that in the first equation to get:
h + m = 1000
h + (3*h) = 1000
Now we can solve this equation for h, and find the number of hats ordered.
4*h = 1000
h = 1000/4 = 250
There were 250 hats ordered.
1 kilometer = 1000 meters
3 kilometers would be 3000 meters
Divide total meters by number of parcels:
3000 / 10 = 300
The answer is 300 meters
