Answer:
x = 7
x = -5
Step-by-step explanation:
Given
x² - 2x - 35 = 0
Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)
The factors are - 7 and + 5, since
- 7 × 5 = - 35 and - 7 + 5 = - 2, thus
(x - 7)(x + 5) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 7 = 0 ⇒ x = 7
The answer is the second answer choice, an = -13 + 5(n - 1)
Answer:
<h2>A) 32</h2>
Step-by-step explanation:
From 1 to 10 we have 4 numbers which are {2,4,6,8}
From 10 to 20 we have 4 numbers which are {12,14,16,18}
.
.
.
From 70 to 78 we have 4 numbers which are {72,747,6,78}
<em><u>conclusion:</u></em> we 4×8 number = 32
Answer:
y = -1/4x - 5/2.
Step-by-step explanation:
I am assuming you mean y = -1/4x + 5.
This has slope of -1/4 so the required equation has the same slope ( as they are parallel).
Using the point-slope form of the equation of a line:
y - (-3) = -1/4(x - 2)
y + 3 = -1/4(x - 2)
y = -1/4x + 1/2 - 3
y = -1/4x - 5/2
Answer:
<h2>a) x = 16 and y = 6</h2><h2>b) P = 864 in</h2>
Step-by-step explanation:
a)
The opposite sides of the rectangle are of equal length.
Therefore we have the system of equations:

Substitute from (*) to (**):

Put the value of y to (*):

b)
Calculate the width and the length:

The perimeter:
