Answer:
Third graph in the photo
Step-by-step explanation:
x^2+3x-4 can be factored as (x+4)(x-1). When y=0, x must be -4 or 1 to satisfy the equations, and thus the roots of the graph are at x=-4 and x=1. When x=0, y=(4)(-1)=-4. The only graph that satisfies both of these requirements is the third/last one.
Answer:
5
Step-by-step explanation:
This is a right triangle, but note that you only know the measurement of one angle, which is 90 degrees.
Use the following formula to solve:
a² + b² = c²
In which:
a & b = shorter sides
c = hypotenuse
Plug in the corresponding numbers to the corresponding variables:
(3)² + (4)² = ?²
Solve. Remember to follow PEMDAS. First, solve the exponents, then add:
(3)² = (3 * 3) = (9)
(4)² = (4 * 4) = (16)
9 + 16 = ?²
25 = ?²
Isolate "?". Root both sides:
√(25) = √(?²)
? = √25 = √(5 * 5) = 5
Your missing side's measurement is 5.
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Answer:
b. never
Explanation:
A fraction is always in the form p/q, where q is not 0; or can be converted in that form (in case of mixed fraction).
A number is said to be irrational, if it cannot be expressed in the form p/q, where q is not 0.
Answer:
<u>Option A. about 1 seconds</u>
Step-by-step explanation:
Let the initial speed u and the final speed v
Time t , distance s and acceleration of gravity g
The equation of motion are:
v = u + gt ⇒(1)
s = ut + 0.5 gt² ⇒(2)
v² = u² + 2gs ⇒(3)
Marques drops a plate from a height of 5 feet.
So, u = 0 , s = 5 ft , g = 9.8 m/sec²
Substitute at (2)
s = ut + 0.5 gt²
5 = 0 * t + 0.5 * 10 * t²
∴ t² = 5/(0.5*9.8) = 1.02
∴ t = √1.02 = 1.01 seconds ≈ 1 seconds (to the nearest integer)
<u>The answer is option A. about 1 seconds</u>
