Answer:
Width=6.5 cm
Length=12 cm
Step-by-step explanation:
Step 1: Express the lengths and widths
Width=w
Length=l, but 1 cm less than twice the width=(2×w)-1=2 w-1
Step 2: Solve for the length and width
A=L×W
where;
A=area of the photograph
L=length of the photograph
W=width of the photograph
In our case;
A=91 cm²
L=2 w-1
W=w
91=(2 w-1)w
2 w²-w=91
2 w²-w-91=0, is a quadratic equation
solve for w
w={-1±√(-1²-4×2×-91)}/(2×2)
w=(-1±27)/4
w=(27-1)/4=6.5, or (-1-27)/4=-8
Take w=6.5 cm
L=(2×6.5)-1=13-1=12 cm
Width=6.5 cm
Length=12 cm
Hey there!
“2 (5x + 3)”
• FIRST and ONLY STEP: DISTRIBUTE 2 to ALL OF YOUR NUMBERS in the parentheses
2(5x) + 2(3)
2(5x) = 10x ⬅️ FRONT number
2(3) = 6 ⬅️ BACK number
BOTH OF YOUR NUMBERS ARE POSITIVE SO WE DON’T HAVE TO CHANGE ANYTHING
Answer: 10x + 6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
<em>Functions evaluated at x = -1</em>
A. a(-1) = -2(-1) + 3 = 5
B. b(-1) = 0 (as per graph)
C. <u>Find the equation first:</u>
- m = 4/8 = 1/2
- c(x) = 1/2x - 4
- c(-1) = -1/2 - 4 = -4.5
D. d(-1) = (-1)² - 4 = -3
E. e(-1) = 2 (as per table)
F. f(-1) = 5/2 = 2.5 (as per graph)
G. g(-1) = 2(3)⁻¹ - 2 = 2/3 - 2 = - 1 1/3
H. h(-1) = 2 (as per table)
<u>The order:</u>
- C >> D >> G >> B >> E and H >> F >> A