Look at the coefficient of x², ignore the positive or negative sign. The larger the coefficient, the narrower the graph.
in this case, the coefficients are -2, -1/2, -4, and 1/7
ignore the positive or negative sign, 4 is the largest number, so y=-4x² is the narrowest.
Note: the positive/negative sign tells you whether the graph opens upward or downward. It doesn't determine the width of the graph.
Answer:
18
Step-by-step explanation:
3*5=15
Therefore, every time she completed 3 pages that was a mark down.
3= 1/6 12=4/6
6=2/6 15=5/6
9=3/6 18=6/6 or 1 whole
A.)))))))))))
- Harvard university professor
Answer:
The student made a mistake in step 4
The length of the radius should be 6 cm
Step-by-step explanation:
Let us write each step to find the radius of a circle from its circumference
Step 1:
∵ C = 2πr
∵ C = 12π
Step 2:
Equate 12π by 2πr
∴ 12π = 2πr
Step 3:
Divide both sides by 2π
∵ 
Step 4:
∴ 6 = r
∴ The radius of the circle is 6 cm
The student mad a mistake he divided the left hand side by 2π and the right hand side by 2 only he left π with r
Step 4:
∴ 6 = πr
So he divided both sides again by π
Step 5:
∵ 
Step 7:
∴
= r
The student made a mistake in step 4
The length of the radius should be 6 cm
Recall the Trigonometric Ratio below:

For csc, sec and cot - they are reciprocal of sin,cos and tan.

What we know now is our hypotenuse, adjacent and opposite length.
- hypotenuse = 15
- opposite = 12
- adjacent = 9
Therefore,
As for the reciprocal of three trigonometric ratio. We just swap the numerator and denominator.

Answer
- sin = 12/15 —> 4/5
- cos = 9/15 —> 3/5
- tan = 12/9 —> 4/3
- csc = 15/12 —> 5/4
- sec = 15/9 —> 5/3
- cot = 9/12 —> 3/4
The first is non-simplifed form while the second that has the arrow pointing is the simplest form.
Let me know if you have any doubts.