Answer:
Δn=3
Step-by-step explanation:
Remember, if we need to divide the interval (a,b) in n equal subinterval, then we need divide the distance (d) between the endpoints of the interval and divide it by n. Then the width Δn of each subinterval is d/n.
We have the interval [-5,7]. The distance between the endpoints of the interval is
.
Now, we divide d by 4 and obtain 
Then, Δn=3.
Now, to find the endpoints of each sub-interval, we add 3 from the left end of the interval.
So,
Answer:
Step-by-step explanation:
Reference angle = 45°
Opposite side = x
Hypotenuse = √3
Use the following trigonometric ratios formula to find x:
Plug in the values
Multiply both sides by √3
Answer:
4 inch long and 3 inch wide
Step-by-step explanation:
so since the scale factor is 1 inch = 4 feet and the actual length is 16 feet by 12 feet all you got to do is divide both lengths by 4 and you get 4 and 3 and you convert the unit to inches so it would be 4 inches and 3 inches. now all you got to do is draw a 4 inch long by 3 inch wide rectangle and your good
Answer:
7a
Step-by-step explanation:
We don't actually know the variable A and we don't have a final product to help us solve it, so the best we can do is make 7 a coefficient to the variable A, making the answer 7a.
Answer:
Either x≈ -1.12 or x ≈0.45
Step-by-step explanation:
Using the quadratic formula to solve this, we will follow the steps below;
First, write down the quadratic formula;
x = -b ±√b² - 4ac /2a
From the question, the equation given is: 6x²+4x−3=0
comparing the equation given withe standard equation ax² + bx + c=0
a= 6 b= 4 and c = -3
We can now proceed to insert the values into the formula;
x = -4 ±√4² - 4(6)(-3) /2(6)
x = -4 ±√16+72 /12
x = -4 ±√88 /12
Either x = -4+√88 /12
x ≈0.45
OR
x = -4 -√88 /12
x≈ -1.12
Either x≈ -1.12 or x ≈0.45
