Answer:
Step-by-step explanation:
Part A
2x-3y =21 in slope-intercept form is y=2/3x-7 one you graph the equation it would be a parallel to the equation shown above so there are no intersections
PART B
y=1/3x^2 and y= 2/3x - 5
1/3x^2 = 2/3x-5
1/3x^2=2/3x-5
then u multiply everything by 3
1/3x^2*3 =2/3x *3-5*3
the three for 1/3*3 cancels out so you are left with
1x^2= 2x -15
1x^2-2x+15=0
You can not factor it and well i guess there is no intersection
im sorry if i got this wrong bc i had a similar question just different numbers and i tried to solve this one the way i sloved mine so im not sure of my answer for part b
D = 25 ft is the length of a shadow. L - the length of a tree.
Two angles are 85° and 65° and the third is 180° - ( 65° + 85° ) =
= 180° - 150° = 30°.
We will use the Sine Law:
25 / sin 30° = L / sin 65°
25 / 0.5 = L / 0.9063
25 * 0.9063 = 0.5 L
22.6577 = 0.5 L
L = 22.6577 : 0.5
L = 45.3 ft.
Answer: the approximate length of the tree is 45.3 ft.
Part A :
D = (1/4) * C D = 1/4 * 24 D = 24/4 = 6 ft above sea level
Part B :
Your answer is positive because D is still above sea level...if it would have been below sea level, then it would have been negative
Answer:
$133.33
Step-by-step explanation:
When dealing with such a problem we can use the Rule of Three. This rule is basically used in order to find the missing value when dealing with a ratio. Like so...
12% of final price <======> $16
100% of final price <=====> x
Now we multiply the two available diagonal values together and divide by the last value in order to get the value of the variable, which in this case would be the original price in dollars
(100 * 16) / 12 = x
1600 / 12 = x
133.33 = x
Finally, we can see that the original price of the item was $133.33
