Answer:

Step-by-step explanation:
Notice that A, B, and C constitute the vertices of a right angle triangle, with the right angle at the vertex A.
If we count the number of squares separating B and A (one of the legs of the right angle triangle) we find 8 units.
If we count the number of squares separating C from A (the other leg of the right angle triangle), we get: 3 units.
Then, we apply the Pythagorean theorem to find that length of the triangle's hypotenuse which is the segment BC:

Factoring the equation:
3x^2 + 1/2 x 7(3)
3x^2 + 1/2 x 21
3 (x^2 + 1/2 x 21)
3 (x^2 + 7/2)
3 x 1/2 (2x^2 +7)
3/2 (2x^2 + 7)
Answer:
Step-by-step explanation:
-3(3/6) + 4(3/5)
-3(1/2) + 4(3/5)
-3/2 + 12/5
-15/10 + 24/10
9/10
Answer:
-22
Step-by-step explanation:
The blue dot on the number line is 4 units below -10. The number -16 is also labeled, but it is instead just 2 units below -10. If -16 is 2 units below -10, then 2 units is equal to a distance of 6, which means 1 unit is equal to a distance of 3. Because the blue dot is 4 units below -10, the blue dot is 12 less than -10, meaning that the blue dot is at -22.