Answer:
a1 = 34, d = 6.
Step-by-step explanation:
a1 = the first term = 34.
To find d subtract: 2nd term - first term , third term - second term and so on.
d = 40 - 34 = 6.
Also 46-40 = 6
WE get the same value 6 for the other given terms.
6 is added to each term to get the next term
Answer:
A) 1/45
B) 1/60
Step-by-step explanation:
<u>Part A</u>
The actual car has a length to width ratio of ...
length/width = (570 cm)/(180 cm) = 57/18 = 3 1/6
The rectangle on the screen has a length to width ratio of ...
length/width = (13 cm)/(4 cm) = 3 1/4
Relative to its width, the screen rectangle is longer than necessary for a model of the car. So, the scale factor will be determined by the width of the car relative to the width of the screen model.
For a model width of 4 cm, the scale factor is ...
model/life-size = (4 cm)/(180 cm) = 1/45
__
<u>Part B</u>
For a model width of 3 cm, the scale factor is ...
model/life-size = (3 cm)/(180 cm) = 1/60
D. 66
A triangles angles add up to 180 degrees so 90 + 24 = 114
180 - 114 = 66
Answer: a(n) = 5 - 3n
the sequence has:
a1 = 2
a2 = -1
a3 = -7
.........
we can see that: a2 - a1 = a3 - a2 = -3
=> the sequence is a arithmetic sequence
=> the distance between the numbers is d = -3
because this sequence is a arithmetic sequence
=> a(n) = a1 + (n - 1)d = 2 + (n - 1).(-3) = 5 - 3n
Step-by-step explanation:
Answer:
8x^2=-29x-15
8x^2 + 29x + 15 = 0
x = (-29 ± √(29^2 - 4*8*15)) / (2*8)
x1 = -3
x2 = -5/8