Answer: 4
Step-by-step explanation: 18/6 =3 so do 12/3 and it will give you 4
The answer is 0 < x <span>≤ 7
</span>
First, we know that width = x
Which means that length = x +18
So, the possible equation for the Table's area is
X (X + 18) ≤ 175
X^2 + 18x - 175 <span>≤ </span>0
Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
Since the width couldn't be negative, we can change -25 with 0,
so it become
</span> 0 < x ≤ 7
Answer:
Step-by-step explanation:
Each equation is in vertex form, so you can easily determine the number of real roots. The leading coefficient tells you whether the parabola opens upward (positive) or downward (negative).
y = a(x -h)^2 +k
has leading coefficient "a" and vertex (h, k).
__
<u>f(x) = 1/3(x +5)^2 +7</u>
vertex: (-5, 7), opens downward
The vertex is above the x-axis, so there are two real roots.
__
<u>f(x) = -5(x -3)^2</u>
vertex: (3, 0), opens downward
The vertex is on the x-axis, so there is one real root.
Answer:
- all right angles are congruent.
- opposite sides of a parallelogram are congruent
- SAS congruence postulate
- corresponding parts of congruent triangles are congruent
Step-by-step explanation:
Given : Parallelogram JKLM is a rectangle and by the definition of rectangle, are right angles,
Since all interior angles of rectangle are right angle.
then , because all right angles are congruent.
Also, opposite sides of a parallelogram are congruent.
and by the reflexive property of congruence.
Now, by the SAS congruence postulate,
,
Since corresponding parts of congruent triangles are congruent, ∴
- The SAS postulate says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle then the two triangles are congruent.