Answer:
Area of Rectangle = 
Step-by-step explanation:
Rectangle two vertices lie on x axis ; two vertices lie on parabola
.
Supposing coordinates of upper right vertex of rectangle are P = 
Due to parabola symmetry, width of rectangle is twice the distance horizontal (X) axis distance between Y axis & point P.
Width of rectangle = 
Length of rectangle =
; 
Area of Rectangle = Length x Width
= 
= 
= 
Answer:
10 kph
Step-by-step explanation:
Find the speed of the current of the river.
20/(20 - c) + 180/(20 + c) = 8
20(20 + c) + 180(20 - c) = 8(400 - c^2)
8c^2 - 160c + 800 = 0
8(c^2 - 20c + 100) = 0
8(c - 10)^2 = 0
c = 10
The speed of the current of the river is 10 km/hour.
Answer:
96
Step-by-step explanation:
The ratio of the measure of sides of a triangle are 8:15:17
The perimeter is 480
8x + 15x + 17x= 480
40x= 480
x = 480/40
x = 12
Therefore the measure of the shortest side of the triangle can be calculated as follows
8x
8×12
= 96
Answer
(C) y +5 =3(x+4)
We will use the point-slope formula to solve this problem.
We will use the point-slope formula to solve this problem.(y+5)=3(x+4)
)Explanation:
)Explanation:We can use the point slope formula to solve this problem.
)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)
)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.
)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.We can substitute the slope and point we were given into this formula to produce the equation we are looking for:
)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.We can substitute the slope and point we were given into this formula to produce the equation we are looking for:(y−(−5))=3(x--(4))
=> (<u>y+</u><u>5</u><u>)=3(x</u><u>+</u><u>4</u><u>)</u>