Answer:
<h2>-x²+4x +6</h2>
Step-by-step explanation:
Given f(x)=4x+1 and g(x)=x²-5
(f-g)(x) is derived by taking the difference of both functions
(f-g)(x) = f(x)-g(x)
(f-g)(x) = 4x+1 - (x²-5)
(f-g)(x) = 4x+1-x²+5
(f-g)(x) = -x²+4x +6
This gives the requires expression
Answer:
x = 6, y = 5
Step-by-step explanation:
When x = 6 and y = 5,
3(6) - 5 = 13
18 - 5 = 13
13 = 13
L.H.S = R.H.S
Answer:
528 cm²
Step-by-step explanation:
The surface area of this prism comprises:
- 2 congruent triangles (the bases of the prism)
- 2 congruent rectangles (rectangle 1 and 2) - since the triangle has 2 sides of equal length
- 1 rectangle (rectangle 3)
Area of a triangle = 1/2 × base × height
= 1/2 × 16 × 6
= 48 cm²
Area of rectangle 1 / 2 = width × length
= 10 × 12
= 120 cm²
Area of rectangle 3 = width × length
= 16 × 12
= 192 cm²
Total Surface Area = 2 triangles + 2 rectangles + rectangle 3
= (2 × 48) + (2 × 120) + 192
= 96 + 240 + 192
= 528 cm²
Answer:
Step-by-step explanation:
Diameter is 7cm
radius is diameter/2 = 7cm/2 = 3.5cm
Answer:
29 grams
Step-by-step explanation:
Adult Meerkat: 776 grams
Baby Meerkat: 776g - 0.747kg
0.747kg = 747 grams
776 - 747 = 29 grams
