Step-by-step explanation:
-24=4+4w
-24-4=4w
-28=4w
4w÷4=-28÷4
w=-7
Answer:
A) 21.02°
B) 26.74°
C) 22.79°
D) DNE
Step-by-step explanation:
We can solve the equation for the angle:
D = 672·sin(2θ)
D/672 = sin(2θ)
arcsin(D/672) = 2θ
θ = arcsin(D/672)/2
A) For D = 450, θ = arcsin(450/672)/2 = 21.0198° ≈ 21.02°
B) For D = 540, θ = arcsin(540/672)/2 = 26.7363° ≈ 26.74°
C) For D = 480, θ = arcsin(480/672)/2 = 22.7923° ≈ 22.79°
D) For D = 720, θ = arcsin(720/672)/2 = DNE
Reading from top to bottom. Answers are as follows:
1. 7(2)^t
2. 3000(0.93)^t
3. 300(1.015)^t
4. 300(0.985)^t
Answer:
1. The solutions marked on the attached graph
2.The solutions are (-2, 0) and (6, 0)
3. The discriminant would be positive
Step-by-step explanation:
- The solution of the quadratic equation is the values of x at y = 0, which means the points of intersection of the graph and the x-axis
- The discriminant is positive if the graph intersects the x-axis at two different points
- The discriminant is zero if the graph intersects the x-axis at only one point
- The discriminant is negative if the graph does not intersect the x-axis
<em>Based on the given graph</em>
1.
Look at the attached figure to see the solutions
2.
∵ The graph intersects the x-axis at points (-2, 0), (6, 0)
∴ The solutions are (-2, 0) and (6, 0)
3.
∵ The discriminant is positive if the graph intersects the x-axis
at 2 different points
∵ The given graph intersects the x-axis at points (-2, 0) and (6, 0)
→ They are different points
∴ The discriminant would be positive
Answer:
336 cm²
Step-by-step explanation:
1 rectangle 24 cm by 12 cm
1 triangle with base 12 cm and height 8 cm (combining the two small triangles into 1 larger triangle)
SA = 24 cm * 12 cm + 12 cm * 8 cm / 2
SA = 288 cm² + 48 cm²
SA = 336 cm²