Answer:
You need 2.11 quarts of strawberries
and 3.17 pints of blueberries
Step-by-step explanation:
717/3= 239
Divide 717 by 3 to get the price of one night.
Explanation:
It helps to understand the process of multiplying the binomials. Consider the simple case ...
(x +a)(x +b)
The product is ...
(x +a)(x +b) = x² +(a+b)x + ab
If the <em>constant</em> term (ab) is <em>negative</em>, the signs of (a) and (b) are <em>different</em>.
If the constant term (ab) is <em>positive</em>, the signs of (a) and (b) will both match the sign of the coefficient of the linear term (a+b).
___
Of course, the sum (a+b) will have the sign of the (a) or (b) value with the largest magnitude, so when the signs of (a) and (b) are different, the factor with the largest magnitude will have the sign of (a+b), the x-coefficient.
<u>Example</u>:
x² -x -6
-6 tells you the factors will have different signs. -x tells you the one with the largest magnitude will be negative.
-6 = -6×1 = -3×2 = ... (other factor pairs have a negative factor with a smaller magnitude)
The sums of these factor pairs are -5 and -1. We want the factor pair that has a sum of -1, the coefficient of x in the trinomial.
x² -x -6 = (x -3)(x +2)
Answer:
53°, 127°, 127°
Step-by-step explanation:
<u>Two intersecting lines form two pairs of angles:</u>
- Pair of vertical angles. They are opposite to each other and are equal
- Pair of adjacent angles which are supplementary angles and their sum is 180°
<u>So if one of the angles is measured 53°, then the other angles are:</u>
- 53°- vertical angle with the first one
- 180° - 53° = 127°
- 180° - 53° = 127°
Answer:
Step-by-step explanation:
<u>Area of triangle:</u>
We have the value of b but not h.
Added auxiliary segments which help to find the value of h.
<em>See attached for details</em>
- sin 40° = h/4
- h = 4 sin 40°
- h = 2.57 km
<u>The area is:</u>
- A = 1/2*6*2.57 = 7.71 km²
