The slope is 4 or you can think of it as 4/1 if that helps. Remember slope intercept form is y=mx+b.
Solution:
we are given that
Don walked 3 3/5 miles on Friday
It can be re-written as
miles
3 5/8 miles on sunday.
It can be re-written as
miles
an d He walk 3.7 miles on satarday.
The distances from least to greatest is 3.6, 3.625, 3.7
or
The distances from least to greatest is
miles,
miles, 3.7 miles.
Answer:
1) the angles are congruent, or the same
2) the angles are complementary, or add up to 90 degrees
3) the angles add up to 180 degrees
4) the angle is a right angle
5) they are congruent
6) they are complementary angles, or add up to 90 degrees
7) they are supplementary angles, or add up to 180 degrees
8) angle 1 is congruent to angle 4
9) angle K is supplementary to angle L
Step-by-step explanation:
8 and 9 are transitivity
The other statements correspond with the sentence starters.
Answer:
A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.
B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.
Step-by-step explanation:
f(x) = 12x^2 + 5x - 2.
Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).
To find the roots of f(x), set f(x) = 0. Therefore:
12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:
12x^2 + 8x - 3x - 2 = 0.
4x(3x + 2) -1(3x+2) = 0.
(4x-1)(3x+2) = 0.
4x-1 = 0 or 3x+2 = 0.
x = 1/4 or x = -2/3.
It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!