Answer:
8
Step-by-step explanation:
The triangles both equal two and together make 4. The square is 4 as well. 4+4=8.
First, we need to remember that the distance between two points (x1, y1) and (x2, y2) can be calculated with √[ (x1 - x2)^2 + (y1 - y2)^2 ].
Thus, we apply this formula to measure the lengths of AB, BC, and AC in ∆ABC.
AB = √[ (1 - -2)^2 + (7 - 2)^2 ] = √25 = 5 units
BC = √[ (-2 - 4)^2 + (2 - 2)^2 ] = √36 = 6 units
CA = √[ (4 - 1)^2 + (2 - 7)^2 ] = √25 = 5 units
From this, we can clearly see that BC is the longest side of ∆ABC with a length of √36 = 6 units. Thus, the answer is B: 6.
Since ∆ABC sides 5, 5, and 6. That makes it an isosceles triangle. Which makes the right answer to be B: isosceles.
Now, if we form a new triangle, ∆ABD, with D at (1, 2), we have the following lengths:
AB = 5 units
BD = √[ (-2 - 1)^2 + (2 - 2)^2 ] = √9 = 3 units
AD = √[ (1 - 1)^2 + (7 - 2)^2 ] = √25 = 5 units
Similarly, since ∆ABD has sides with lengths of 5, 3, and 5. This means it is isosceles. The answer for this item is B: isosceles.
We have shown above that AD is 5 units. Thus, answer is B: 5<span>.</span>
Hi!
First, find the median of the original data set.
Arrange the numbers in order,
2, 2, 4, 6, 7, 8, 18, 20, 24
Then find the middle number.
2, 2, 4, 6, 7, 8, 18, 20, 24
Now add the number 10.
2, 2, 4, 6, 7, 8, 10, 18, 20, 24
Find the new middle number.
2, 2, 4, 6, 7, 8, 10, 18, 20, 24
7.5
The first median was 7, the new one is 7.5.
The median increases by 0.5.
Hope this helps! :)
-Peredhel
Answer:
y = 4x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = - 4 + c ⇒ c = 2 + 4 = 6
y = 4x + 6 ← equation of line
Answer:
i think 300 but im not sure
Step-by-step explanation:
