Step-by-step explanation:
From Pythagorean theorem, one of the sides can be determined as x^2 + y^2 =8^2
or y = (8^2 - x^2)^(1/2)
we can write the perimeter P as
P = 2x + 2y ---> 20 = 2x + 2(8^2 - x^2)^(1/2)
Dividing by 2, we get
10 = x + (8^2 - x^2)^(1/2)
Move the x to the other side,
10 - x = (8^2 - x^2)^(1/2)
Take the square of both sides to get rid of the radical sign:
(10 - x)^2 = 8^2 - x^2
Move everything to the left and expand the quantity inside the parenthesis:
x^2 + (100 - 20x + x^2) - 64 = 0
2x^2 - 20x + 64 = 0
or
x^2 - 10x + 32 = 0
Now we can see that a = -10 and b = 32
Answer:
Step-by-step explanation:
6y = -3x - 3
y = -1/2x - 1/2
perp. 2
y + 5 = 2(x - 1)
y + 5 = 2x - 2
y = 2x - 7
True by side angle side. You already have 2 congruent sides, so then do right angles congruence theorem to get the angles are congruent
Answer:
In each muffin there are 1.53oz
Step-by-step explanation:
The first step is to get the weight of just one muffin. If the package contains six muffins we must divide the total weight by six.
The weight of just one muffin is 3oz.
Now, the problem says that blueberry high-fiber muffins contain 51 % dietary fiber by mass, which means that we must calculate the 51% of 3oz. We must take into account that 51% equals 51/100 which is 0.51. The equation would be:
Finally, in each muffin there are 1.53oz of fiber.
Answer:
y=2x+3
Step-by-step explanation:
The slope-intercept form of the equation of a line is y = mx + b,where m = slope.
Hope this helps...
