Answer:
Step-by-step explanation:
arithmetic sequence formula: 
where 
is the first term and 
is the common difference
Given:
⇒ 
⇒ 
Given:
⇒ 
⇒ 
Rearrange the first equation to make the subject:
a = 32 - 9d
Now substitute into the second equation and solve for
(32 - 9d) + 11d = 106
⇒ 32 + 2d = 106
⇒ 2d = 106 - 32 = 74
⇒ d = 74 ÷ 2 = 37
Substitute found value of into the first equation and solve for :
a + (9 x 37) = 32
a + 333 = 32
a = 32 - 333 = -301
Therefore, the equation is:
Answer:
<h2>x = 61.6°</h2>
Step-by-step explanation:
To find the angle of depression we use cosine
cos∅ = adjacent / hypotenuse
37.4 is the hypotenuse
17.8 is the adjacent
Hope this helps you
Answer:
A. 2⅓ and D.1
Step-by-step explanation:
We are required to select the values of x that makes the inequality x>½ true.
A. 2⅓
B. 0
C.-1½
D. 1
E.-¾
Options C and E are negative numbers and are therefore less than the positive number ½.
Option B(i.e. 0) is also less than ½ or 0.5 and therefore do not satisfy the inequality given.
Options A and D are greater than ½ and therefore satisfies the inequality given.
For this case, what we are going to do is use the following property:
Multiply an equation by a scalar.
In this case, the scalar will be:
k = -2
We have then that equation 2 will be:
k * (4x + y) = k * 1
-2 * (4x + y) = - 2 * 1
-8x-2y = -2
Answer:
The property that justifies this manipulation is:
Multiply an equation by a scalar.
Answer:
1/2 rational exponent represents a square root.
Therefore, option A is correct.
Step-by-step explanation:
As we know that raising to the one-half power i.e. 
is the same
as taking the square root.
- so
is the same as the square root of 
.
For example, taking the square root of 4 will determine:
so the expression becomes
∵ 
so, 1/2 rational exponent represents a square root.
Therefore, option A is correct.
