Answer:
It's 28!
Step-by-step explanation:
Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is
=
= - 2.5
OK , let me start from here ,
As you have not clarified in the question which geometrical shape is formed by the points R S And T ,and W,X and Y .
1. Considering R S and T and W,X,Y to be collinear points . ,
and it is given that , RS T = W X Y ( are equal line segments).
Then
Corresponding part of , RT will be W Y.
2. If these points ,that is R,S,T and W,X,and Y are non collinear , they will form a triangle.
As Given : Δ RST =≅ ΔWXY
If triangle are congruent then their corresponding sides and corresponding angles are equal.
So, Corresponding part of RT will be WY.
Answer:
8 weeks.
Step-by-step explanation:
There are 7 days in a week so the answer is 56/7 = 8 weeks.
<span>Taking out the parentheses of expression
(5x2 + 3x + 4) − (2x2 + 5x − 1)
= 5x2 + 3x+ 4 -2x2 - 5x + 1
Grouping together the like terms and arranging the expression:
= 5x2 - 2x2 + 3x - 5x + 4 + 1
Combining the like terms:
= 3x2 - 2x + 5
Therefore,
A = 3
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