Answer:
c. -x + 3x + 7 = 2x+7
Step-by-step explanation:
f(x) = 3x +1 and g(x) = x - 6
f-g = 3x +1 - ( x - 6)
Distribute the minus sign
= 3x+1 - x+6
= 2x +7
Answer:
if they all have the same angle they r congruent
Step-by-step explanation:
Answer:
40 mph
Step-by-step explanation:
To find the maximum speed at which the car can travel, as the distance it requires to stop is 168 feet, we just need to use the value of d = 168 in the equation, and then find the value of s:
168 = 0.05s^2 + 2.2s
0.05s^2 + 2.2s - 168 = 0
Using Bhaskara's formula: we have:
Delta = 2.2^2 + 4*0.05*168 = 38.44
sqrt(Delta) = 6.2
s1 = (-2.2 + 6.2)/0.1 = 40 mph
s2 = (-2.2 - 6.2)/0.1 = -84 mph (a negative value does not make sense as 's' is the speed of the car)
So the maximum speed of the car is 40 mph
<h3>We'll be using...</h3>
To find the volume, you use a simple formula. And that formula is L×W×H.
To find the surface area, you need to find the area of each piece and add it up later in the end.
<h3 />
<em>75.</em>
L=3 cm, W=1 cm, H=3 cm ... We'll be using.
<em>Volume</em>
To solve the volume, you need to use the formula. 3×1×3.
3×1×3 ... Equation
3×3 ... Step 2
9 ... Answer
<em>Surface area</em>
(3×3)2 ... Multiply by 2 since there is only 2 3×3 piece
36+((3×1)4) ... Step 2
18+12... Step 3
30 ... Answer.
So for number <em>75, </em>volume = 9 cm³ and SA = 30 cm²
<em>76.</em>
L=6 ft, W=2 ft, H=5 ft
<em>Volume</em>
6×2×5 ... Step 1
12×5 ... Step 2
60 ... Answer
<em>Surface area</em>
(6×5)2 ... Step 1
(2×5)2 ... Step 2
(6×2)2 ... Step 3
60+20+24 ... Step 4
104 ... Answer
So, for number <em>76, </em>volume = 60 cm³, SA = 104 cm²
77.
L=4 m, W=2 m, H=6 m
<em>Volume </em>
4×2×6 ... Step 1
8×6 ... Step 2
48 ... Answer
<em>Surface Area</em>
(4×2)2 ... Step 1
(2×6)2 ... Step 2
(4×6)2 ... Step 3
16+24+48 ... Step 4
40+48 ... Step 5
88 ... Answer
So, for 77, Volume = 48 m³ and SA = 88 m²
128 & 9
Factors of 1: 128, 9
Factors of 2: no
Factors of 3: no
Factors of 4: no
Factors of 5: no
Factors of 6: no
Factors of 7: no
Factors of 8: no
Factors of 9: no
GCF is 1
