The line would be called the median. The definition of '<span>A line connecting a vertex of a scalene triangle with the midpoint of the opposite side' pertains to the median. There are three medians that connect the scalene triangle. </span>
Answer:

Step-by-step explanation:
The picture of the question in the attached figure
we know that
The triangle ABD is an isosceles triangle
because
AB=BD
The segment BM is a perpendicular bisector segment AD
so
<em>In the right triangle ABM</em>
Applying the Pythagorean Theorem

we have

substitute

-----> equation A
<em>In the right triangle BMC</em>
Applying the Pythagorean Theorem

we have

substitute


----> equation B
equate equation A and equation B

solve for x

Simplify

<em>Find the length of DC</em>

substitute the given values


Answer:
(d) f(x) = -x²
Step-by-step explanation:
For the vertex of the quadratic function to be at the origin, both the x-term and the constant must be zero. That is, the function must be of the form ...
f(x) = a(x -h)² +k . . . . . . . . . . vertex form; vertex at (h, k)
f(x) = a(x -0)² +0 = ax² . . . . . vertex at the origin, (h, k) = (0, 0)
Of the offered answer choices, the only one with a vertex at the origin is ...
f(x) = -x² . . . . . a=-1
We are given with two current costs : $3,450 for tables and $3,950 for chairs .The total cost then is equal to $7,400. This is said to be 4% more than he spent last year. so last year's expenses should be <span> $7,400 / 1.04 equal to $7115.39. The cost last year is expected to be less</span>
Answer:
Step 1: Simplify both sides of the equation.
−7f=12
Step 2: Divide both sides by -7.
−7f
−7
=
12
−7
f=
−12
7
Step-by-step explanation
sorry for the answer like this i couldnt find the fractions but the answer is f=-12/7 sorry :(