Answer:
10w + 35 >= 125
Step-by-step explanation:
She saves $10m per week. That is 10w.
She already has $35, so add 35 to 10w.
10w + 35 >= 125
Answer:
Direction : Open Down
Vertex : (3,4)
Focus : (3,15/4)
Axis of Symmetry : x=3
Directrix : y=17/4
x : 1,2,3,4,5
y : 0,3,4,3,0
Step-by-step explanation: Graph the parabola using the direction, vertex, focus, and axis symmetry. Graph is included down below!
Hope this helps you out! ☺
Answer: = (the third option)
Step-by-step explanation
Answer:
Length, l = 11 ft.
Width, w = 9 ft.
Step-by-step explanation:
From the given data, the area of the rectangle = 99 ft².
Area of the rectangle = Length, l X Width, w
Here, Length, l = 7 more than twice the width
⇒ Length, l = 7 + 2w
Therefore, Area, A = 99 = (7 + 2w)w
⇒ 99 = 7w + 2w²
⇒ 2w² + 7w - 99 = 0
Solve the Quadratic equation using the formula: x =
for the quadratic equation ax² + bx + c = 0.
Therefore, w = 


Since,
we get:

This gives two values of 'w', viz., w =
, 

⇒ w =
, -9.
We take the integer values.
If w = -9, then l = 2(-9) + 7
⇒ l = - 18 + 7 = - 11
Therefore, the length, l of the rectangle = - 11 ft.
and the width, w of the rectangle = - 9 ft.
Hence, the answer.
Answer:
ABCD is a parallelogram.
Step-by-step explanation:
A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA =
(sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.