The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. In this case, upon substitution, 25- 4*2*7 = -31 in which the roots are negative and iimaginary.
Answer:
Step-by-step explanation:
Since the triangles are equivalent,
3x - 2 = 5
Solve for x.
3x = 7
x = 7/3
Let T represent the fifth test score. The average is the sum of scores divided by their number.
... 82 = (83 +75 +93 +67 +T)/5
... 410 = 318 +T . . . . . . . multiply by 5
... 92 = T . . . . . . . . . . . . subtract 318
The fifth score was 92.
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One of the ways I like to work problems like these is to add the differences from the mean. Those are ...
1, -7, 11, -15
so their sum is -10.
The final score must be 10 above the mean in order for this total to be zero. 10 above the mean is 92.
The Amanda's house is 6.7 km far from her school.
<u>Step-by-step explanation:</u>
From the given information,
- The Amanda's school is due west of her house forms the base.
- The school is due south of the Shereen's house forms the height.
- The straight-line distance between Amanda's house and Shereen's house forms the hypotenuse.
Therefore, It can be determined that it forms the right angle triangle.
It is given that,
The distance between the school and Shereen's house is 2 kilometers.
That is, the height of the triangle = 2 km
The straight-line distance between Amanda's house and Shereen's house is 7 kilometers.
That is, the hypotenuse of the triangle = 7 km
Now, the distance between the Amanda's house and her school is the base of the triangle.
<u>To find the base :</u>
Base = 
⇒ 
⇒ 
⇒ 
⇒ 6.7 km
Therefore, the Amanda's house is 6.7 km far from her school.