Answer:
k=17
Step-by-step explanation:
Given F(x)=2x+3 shifts 10 units when it is replaced with the graph f(x)=2x-k.
The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.
Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.
Now add 10 to this x coordinate , we get x1=
=
this is x coordinate where the second line meets the x-axis.
The second line is F(x)=2x-k.
now f(x)=0 and x=17/2
On substitution we get 
k=17
Let n = number
"3 times the sum of a number and 7" translates to 3(n + 7)
"2 less than five times the number" translates to 5n - 2
The word "is" becomes the equals sign.
3(n + 7) = 5n - 2
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Answer:
The segment that extends from the vertex of a triangle to the <u>opposite</u> side and is perpendicular to the side of the triangle is called the altitude.
Step-by-step explanation:
Please find the attachment.
We have been given an incomplete statement. We are supposed to complete the given statement.
Statement: The segment that extends from the vertex of a triangle to the _____ side and is perpendicular to the side of the triangle is called the altitude.
By the definition of altitude, an altitude of a triangle is a line segment from a vertex that is perpendicular to the opposite side.
Therefore, the correct word for our given statement would be "opposite".
