Answer:
x = - 9, x = 10
Step-by-step explanation:
Given
x² - x - 90 = 0
Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)
The factors are - 10 and + 9, since
- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus
(x - 10)(x + 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 10 = 0 ⇒ x = 10
x + 9 = 0 ⇒ x = - 9
lesser x = - 9
greater x = 10
Answer:
Step-by-step explanation:
Given
<em>Translation: 3 units left and 1 unit right</em>
Required
Determine the new coordinates of B
Write out the coordinates of B
When a function is shifted to the left, we have to subtract the unit from the x value of the function;
<em>Shifting by 3 units left, the new x becomes </em>
<em />
<em />
<em />
<em />
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When a function is shifted upward, we have to add the unit to the y value of the function;
<em>Shifting by 1 unit up, the new y becomes </em>
Hence, the new coordinates of B is
Answer:
$260
Step-by-step explanation:
Turn the percentage into a decimal.
35% -> 0.35
Multiply.
400 * 0.35 = 140
Subtract.
400 - 140 = $260
Best of Luck!
Answer:
66 degree
Step-by-step explanation:
given:
angle FAB = 48 degree
angle ECB = 18 degree
in triangle HBC , angle H is also 48 degree degree since the line is parallel the connection between angle H and angle A is alternate interior angle and alternate interior angle are always equal.
so angle H = 48 degree
in triangle HBC
angle H + angle C = angle ABC (sum of two interior opposite angles are equal to the exterior angle formed)
48 + 18 = angle ABC
66 = angle ABC
