Answer:
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
Step-by-step explanation:
Qaudratics are in the form 
Where a, b, c are constants
Now, let's arrange this equation in this form:
Where
a = 1
b = 4
c = -32
We need to know the discriminant to know nature of roots. The discriminant is:
If
- D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
- D > 0, we have 2 distinct roots/solutions and both cut the x-axis
- D < 0, we have imaginary roots and it never cuts the x-axis
Let's find value of Discriminant:
Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.
We get the roots/solutions by factoring:
Thus,
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
<span>11 2/8 there is a 1 5/8 between each of them so you keep adding 1 5/8 miles each day.</span>
Because the sum of the angles in the triangle is 180°...
(x+6)+(3x-16)+x=180
5x-10=180
5x=190
x=38°
Because we want m<M, we want 3x-16.
3x-16=3(38)-16=98°
answer: 98°
Answer:
3.5 inches
Step-by-step explanation:
We can rotate the figure to the left 90 degrees clockwise so that it becomes same orientation as the figure to the right.
Since they are similar figures, their corresponding sides are proportional.
The 4 inch side of left figure corresponds to 16 in side of right side figure.
The "?" inch side of left figure corresponds to 14 in side of right side figure.
We can replace "?" with "x" and setup two ratios and equate them:
Now, we can cross multiply and solve for x:
Hence,
the unknown side marked "?" is equal to 3.5 inches
Answer:
Step-by-step explanation:
Given
Required
Find Y
To do this, we make use of the mid-point formula
i.e.
WX and ZY are the diagonals of the parallelogram.
The mid-point of WX is:
The mid-point of ZY is:
Equate both values of M
Multiply both sides by 2
By comparison:
Hence:
