Assume you mean 3x^2 when you typed the question.
3x^2+14x+16=0
(3x+8)(x+2)=0
x=-8/3 or -2
The fraction that should be removed is 1/5.
<h3>How to calculate the fraction?</h3>
It should be noted that from the information, 40% of the coins are 20-cent coins and the rest are 50-cent coins. Those that are 50 cent will be:
= 100 - 40%
= 60%
The fraction that's should be removed will be:
= 2/5 - x = 1/5
x = 2/5 - 1/5
x = 1/5
The fraction that should be removed is 1/5.
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Answer:
The endpoints of the latus rectum are
and
.
Step-by-step explanation:
A parabola with vertex at point
and whose axis of symmetry is parallel to the y-axis is defined by the following formula:
(1)
Where:
- Independent variable.
- Dependent variable.
- Distance from vertex to the focus.
,
- Coordinates of the vertex.
The coordinates of the focus are represented by:
(2)
The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that
,
and
, then the latus rectum is between the following endpoints:
By (2):


By (1):



There are two solutions:




Hence, the endpoints of the latus rectum are
and
.
I think the best answer would be (A) (2.1+5.9+3.7) but the only difference is that one is negative an the other is positive
Answer:
x° = 67°
Step-by-step explanation:
1. The first three diagrams are showing you that opposite exterior angles are congruent. Based on that, when you are faced with opposite exterior angles in the fourth diagram, you are able to conclude they are congruent. That means x° = 67°.
2. You can determine the other angles in the figure based on linear angles being supplementary, and same-side interior angles being supplementary. After you work through all the angles, you find that x = 67.