Consider the intergers as, x and x+1
x+(x+1)=31
2x+1=31
2x=30
x=15
So, (x+1)=(15+1)=16 would be larger number.
Answer:
x = 10 or x = 2
Step-by-step explanation:
Solve for x:
x^2 - 12 x + 20 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 20 from both sides:
x^2 - 12 x = -20
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 36 to both sides:
x^2 - 12 x + 36 = 16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 6)^2 = 16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 6 = 4 or x - 6 = -4
Hint: | Look at the first equation: Solve for x.
Add 6 to both sides:
x = 10 or x - 6 = -4
Hint: | Look at the second equation: Solve for x.
Add 6 to both sides:
Answer: x = 10 or x = 2
86. Is a negative slope because it slants down from left to right.
87. Is positive slope because it slants up from left to right.
88. Is an undefined slope because it is vertical.
89. Is has a slope of zero because it is horizontal.
Answer:
9 x 4
7 x 3
-5 x 8
-10 x +10
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Step-by-step explanation:
The rule which represents the translation from the pre-image (Δabc), to the image (Δa'b'c') is (x, y) → (y, x).
<h3>What is a triangle?</h3>
A triangle simply refers to a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
Based on this triangle, we can deduce the following points:
- The coordinates of a are given by (-3, 4).
- The coordinates of a' are given by (4, -2).
By critically observing the triangle, we can also deduce that points were swapped as (x, y) → (y, x) and this is a reflection across line y = x.
Read more on triangles here: brainly.com/question/14527861
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