Answer:
Equilateral triangle implies each angle is 60 degree.
And any median is the altitude.
So, NT perpendicular LM, where T is the midpoint of [ML];
We use the Pythagorean Theorem in right triangle NTL ( NT = h; NL = a;
LT = a / 2 );
h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 = 3a²/4
;
It follows that
h = √(3a²/4) = a√3/2 ≈ 0,866*a;
But, a = 8;
h ≈ 0,866 * 8 ≈ 6,928;
Step-by-step explanation:
Using x and y as the numbers
x+y=25 -------#1
x-y=9 -------#2
Using addition of #1 and #2
x+y+x-y= 25+9
2x+0y=34
2x=34
x=17
Using the value of x and plugging said value into #1 or #2, we can find y
x=17
x+y=25
17+y=25
y=8
OR
x-y=9
17-y=9
-y=-8
y=8
The numbers are 8 and 17
Answer:
C
Step-by-step explanation:
g(x) = 4x²
g(x) is steeper than f(x) and the ordered pair (1, 4) fits in option C:
g(1) = 4(1)² = 4
Answer:
<u>m</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u><u> </u><u>and</u><u> </u><u>c</u><u> </u><u>is</u><u> </u><u>-</u><u>1</u>
Step-by-step explanation:
• Let's first phrase out the general equation of a line

- m is the slope
- c is the y-intercept
[ remember that a general line equation must be in slope - intercept form as shown above ]
• from our question, we are given the equation;

• let's make y the subject in order to make the equation in slope - intercept format.
→ <em>r</em><em>e</em><em>m</em><em>e</em><em>m</em><em>b</em><em>e</em><em>r</em><em> </em><em>t</em><em>o</em><em> </em><em>a</em><em>p</em><em>p</em><em>l</em><em>y</em><em> </em><em>"</em><em>s</em><em>u</em><em>b</em><em>j</em><em>e</em><em>c</em><em>t</em><em> </em><em>m</em><em>a</em><em>k</em><em>i</em><em>n</em><em>g</em><em> </em><em>k</em><em>n</em><em>o</em><em>w</em><em>l</em><em>e</em><em>d</em><em>g</em><em>e</em><em>"</em>

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

One pair of opposite sides both parallel and congruent implies a parallelogram.