Using PEMDAS the you start with parentheses and exponents 4x4 would be 16 times 2 is 32 plus 5 is 37 then multiply that by 3 = 111 subtract 10 and get 101
Answer:
k = 13 The smallest zero or root is x = -10
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Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Hope this was Right
Answer:
70 inches
Step-by-step explanation:
Larry forms a right triangle with the ground (this is one leg of a right triangle) and he is 24 inches from his shadow (this is the second leg).
74 inches is the hypotenuse of the right triangle
use pythagorean theorem: a^2 + b^2 = c^2
let h = Larry's height
h^2 + 24^2 = 74^2
h^2 + 576 = 5476
h^2 = 4900
h = sq rt 4900
h = 70
10 27/35 is the answer simplified