Answer:
D) (x+6, y+5)
Step-by-step explanation:
You can start with the top corner of triangle A
Then count up 5 units and right 6 units
Because you count vertically 5 units that means you're using the y-axis, And because you're counting up, than means the values are positive.
And because you count horizontally 6 units you're using the x-axis, And you are counting to the right so the values are positive.
Down vertically=Negative Y-axis Values. Up vertically=Positive Y-axis Values
Right horizontally=Positive X-axis values. Left horizontally=Negative X-axis Values
Answer:
![f(g(x))=\dfrac{|x|+1-||x|-1|}{2}](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%5Cdfrac%7B%7Cx%7C%2B1-%7C%7Cx%7C-1%7C%7D%7B2%7D)
Step-by-step explanation:
The most straightforward way is direct substitution of g(x) for x in f(x):
![f(g(x))=\dfrac{|x|+1-||x|-1|}{2}](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%5Cdfrac%7B%7Cx%7C%2B1-%7C%7Cx%7C-1%7C%7D%7B2%7D)
Answer:
b. They can both be 90 degree angles
c. Acute angles are by definition 90 degrees, and acute is less than but not equal to 90 degrees
d. should be always
e. should be never (explanation: they have to be adjacent to be supplementary, and vertical angles are never adjacent)
Step-by-step explanation:
Answer:82
Step-by-step explanation:
surface area=pxh + 2xb
p=perimeter of base
h=height
b=area of base
Perimeter of base=7+7+2+2=18
height=3
base area=7x2=14
surface area=18x3+2x14
Surface area=82
Part A.
Before you can write any sort of expression, you need to define variables. "grapes g" is not a definition, so the exercise seems meaningless as written. It seems the intent is to ...
let g, b, p represent the numbers of pounds of grapes, bananas, and pears, respectively.
Then, the total cost of some weight of fruit is
2.19g + 0.59b + 1.49p
Part B.
For g=3, b=3, p=2, the expression evaluates to
2.19*3 +0.59*3 +1.49*2 = 11.32
The total cost of 3 pounds of grapes, 3 pounds of bananas, and 2 pounds of pears is ...
$11.32