Answer:
Step-by-step explanation:
please comp-lete the question and putt it again thanks....
Answer:
The larger number is 5.
Step-by-step explanation:
Let the numbers be represented by x and y. Then:
x + y = 8 is their sum, and
x² + y² = 34 is the sum of their squares.
Let's solve this system of equations using substitution. Since x + y = 8,
x = 8 - y. Subbing this 8 - y for x into the second equation, we get:
(8 - y)² + y² = 34, or
64 - 16 y + y² + y² = 34
Simplifying, we get first: 30 - 16y + 2y² = 0, and then:
2y² - 16y + 30 = 0, and after reducing, y² - 8y + 15 = 0.
This factors into (y - 3)(y - 5) = 0, and so y = 3 and y = 5.
The larger number is 5.
Answer:
x=12.5
y=10
Step-by-step explanation:
Properties of rectangle:
- Opposite sides are congruent
- All angles are right angles
- Diagonals bisect each other
- Diagonals are of equal length
so from the properties we came to know that diagonals bisects each other and diagonals are of equal length
Given Rectangle RSUT has diagonals that meet at point X.
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Answer:
| a - b | < length of third side < a + b
Step-by-step explanation:
Visualize the two given sides of the triangle (let's call then a and b), joined at the vertex of the triangle, and forming an angle. We can join the other free end of these two segments, with another segment whose length would vary according to how tiny or large the angle is. We can spread the aperture of the angle they form as much as we can just below (not reaching this angle measure, because in such case, there will be no triangle of tangible area. In such case, the length of the joining segment will be limited by the addition of the two sides:
length of third side < a + b
In the case the aperture of the angle formed by the two given sides is diminished as much as possible to still form a measurable triangle, the angle has to be just larger than zero, and in such case, the segment joining the other to ends of a and b would be just larger than the absolute value of the difference between a and b:
length third side > | a - b|
These are the two extreme cases, and the length of the third side must be within these limits.
Answer:
n=14/5
Step-by-step explanation:
4n+n-16=-2
We move all terms to the left:
4n+n-16-(-2)=0
We add all the numbers together, and all the variables
5n-14=0
We move all terms containing n to the left, all other terms to the right
5n=14
n=14/5
