The slope is -3/2
Use the two ordered pairs (-2,0) and (0,-3) and do y2-y1/x2-x1
-3-0/0+2= -3/2
Answer:
Step-by-step explanation:
5:4:3 = x:y:2
4:3 = y:2 Cross multiply
3y = 8 Divide by 3
y = 8/3 = 2.66'
5/x = 3/2
3x = 10 Divide by 3
x = 10/3
x = 3.33
Length of the wood = 2.66 + 3.33 + 2
Length of the wood = 8 feet
Answer:
a. Negative discriminant: above
b. Positive discriminant: below
c. Discriminant is zero: on
Step-by-step explanation:
If the discriminant is negative, then there are no real zeros. We have an upward-facing parabola, then the vertex is located above the x-axis
If the discriminant is positive, then there are two different real zeros. We have an upward-facing parabola, then the vertex is located below the x-axis
If the discriminant is zero, then there is one zero. We have an upward-facing parabola, then the vertex is located on the x-axis
The external angle (53°) is half the difference of the intercepted arcs (y°, 180°), so we have
53 = (180 - y)/2
106 = 180 - y
y = 180 - 106
y = 74
The appropriate choice for the value of y is ...
74
To find the area of a rectangle, we must use the formula, A = lw, where the variable l represents the length of the rectangle and the variable w represents the width of the rectangle. To find the area, we just have to substitute in the values we are given for the length and width (shown in the picture above) to calculate the area. This is modeled below:
A = lw
A = 12 cm * 5 cm
To solve, we simply multiply the two factors on the right side of the equation to find the area. Remember that because we are multiplying these two numbers together, we should end up with an answer that has squared units!
A = 60 cm²
Therefore, your answer is that the area of the rectangle is 60 cm².
Hope this helps!
