X = 1/3 yz
3x = yz
y = 3x/z
Lets check...
42/56 = 56/64
cross multiply
(56)(56) = (42)(64)
3136 = 2688...(incorrect)...these are not proportional
proportions are nothing but equivalent fractions
42/56 = 3/4
56/64 = 7/8
as u can see, they are not equivalent fractions...so they are not proportional
One side of Square A is the hypotenuse of the white triangle. The square of this hypo. is 24^2+10^2 = 576 + 100 = 676. Since the square of the hypo is the area of Square A, Square A has the area 676 sq. in.
First, let's find how many page's Greta read per day. She read a total of 900 pages across 15 days, so she read:
900 pages / 15 days = 60 pages/day
Now we can find how many pages she read per hour by dividing the 60 pages per day by 5 hours:
60 / 5 = 12 pages/hour
The answer is 12 pages.
Answer:

Step-by-step explanation:
<u>Slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept
f(x)= -2x +4
Let's rewrite this function into an equation, in the slope-intercept form.
y= -2x +4
Slope= -2
The product of the slopes of perpendicular lines is -1.
Let the slope of the perpendicular line be m.
m(-2)= -1
m= ½
y= ½x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -4, y= -1,
-1= ½(-4) +c
-1= -2 +c
c= -1 +2
c= 1
Thus, the equation of the line is y= ½x +1.