HARD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-(x + 5)(3x + 1)
Step-by-step explanation:
Step 1: Factor out negative
-1(3x² + 16x + 5)
Step 2: Factor quadratic
-(x + 5)(3x + 1)
Answer:
A) Length = 110.4 mm and width = 62.1 mm
B) A = 6855.84 mm²
C) length = 114.7 mm
width = 55.8 mm
Area = 6400.26 mm²
D) Screen with aspect ratio of 16:9 is bigger
Step-by-step explanation:
A) We are told that the aspect ratio of the phone screen = 16:9. This means that the ratio of the length to the width of the screen is 16:9.
To find the side length, we will say that;
length = 16x
width = 9x
Thus, since the edges are perpendicular, then we can use pythagoras theorem since we know that the diagonal is 127 mm
Thus;
(16x)² + (9x²)] = 127²
256x² + 81x² = 16129
337x² = 16129
x² = 16129/337
x = √(16129/337)
x = 6.9
Thus;
length = 16x = 16 × 6.9 = 110.4 mm
width = 9x = 9 × 6.9 = 62.1 mm
Length = 110.4 mm and width = 62.1 mm
B) area of screen is;
A = length × width
A = 110.4 × 62.1
A = 6855.84 mm²
C) We are told that the aspect ratio is now 18.5:9.
Thus;
length = 18.5x
width = 9x
Thus;
(18.5x)² + (9x²)] = 127²
342.25x² + 81x² = 16129
423.25x² = 16129
x² = 16129/423.25
x = √(16129/423.25)
x = 6.2
length = 18.5x = 18.5 × 6.2 = 114.7 mm
width = 9x = 9 × 6.2 = 55.8 mm
Area = 114.7 × 55.8 = 6400.26 mm²
D) Screen with aspect ratio of 16:9 is bigger
Answer:
Rules for Calculating the Slope of Line
Find two points on the line. Count the rise (How many units do you count up or down to get from one point to the next?) Record this number as your numerator. Count the run (How many units do you count left or right to get to the point?)
Step-by-step explanation:
The company should expect 235 in sales
plug in 50 for x, 2.1 times 50 is 105, 105 + 130 is 235, y = 35.