Answer:
2 cm squared
Explanation:
The question asks for the area of each small triangle in the corners(meaning 1 triangle, not 4) as shown from the dotted lines. The area of a triangle is found by (base*height)/2.
Looking at the diagram, the triangle is 2 cm for both the base and height, and the hypotenuse is not labeled. Because it is a right triangle, 2 cm is also the height(the height is defined as an altitude from the tip of the triangle to the base using a right angle). So, height=2 and base=2.
Plug these numbers into the formula bh/2.
bh/2=?
(2)(2)/2=?
4/2=?
2=?
Each triangle has an area of 2 cm squared.
Let x = the number.
"increased by" tells you we are adding.
"twice a number" tells you 2 times a number.
16 + 2x = - 24
Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.
2x = - 24 - 16
2x = - 40
Divide by 2 to isolate the variable.
x = - 40/2 = - 20
Your solution is - 20.
To check your answer, plug in.
16 + 2(-20) = - 24
16 - 40 = - 24
- 24 = - 24
Answer:
1) x+5
(4)+5 =
9
2) 3x
3(4)
12
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The minimum point is (3, -4). Therefore, vertex = (3, -4).
The curve intersects the x-axis at (1,0) and (5,0). Therefore, the x-intercepts are (1,0) and (5,0).
The curve intersects the y-axis at (0,5). Therefore, the y-intercept is (0,5).
As the curve changes from decreasing to increasing at x = 3, there is an axis of symmetry at x = 3.
