To evaluate this expression, you will perform all the multiplication first then add those answers.
268x12 + 268x 23 + 732x35
3216 + 6164 + 25620
9380 + 25620
35000
The answer is 35,000.
6x + 7y = -9
-4x - 5y = 5
We can use either substitution or elimination. I prefer substitution so I will explain it that way. You can use elimination as well.
We can solve for x first so we will need to substitute y in terms of x.
6x + 7y = -9
7y = -9 - 6x
y = (-9 - 6x)/7
Plugging this into the other equation:
-4x - 5[(-9 - 6x)/7] = 5
-4x + (45 + 30x)/7 = 5
-28x + 45 + 30x = 35
2x + 45 = 35
2x = - 10
x = -5
Insert this into the other equation to solve for y.
6(-5) + 7y = -9
-30 + 7y = -9
7y = 21
y = 3
Your answer should be (-5, 3). Hope this helps!
You have to begin by using the triangle sum therom. That means Angle DEC would be 64°, Angle D would be 76°, and angle C would be 40°
Answer:
1 seconds after being thrown, the stone reaches its max height
Step-by-step explanation:
The parabolic (quadratic) equation is:
Lets expand this in the form , so we have:
We can say the values of a,b, and c, now to be:
a = -5
b = 10
c = 40
The number of seconds at which the max would occur is given by the point, x, at:
We know a and b, let's find the seconds, x,
Hence,
1 seconds after being thrown, the stone reach its max height
The height of this triangle would be 10.4
In order to find this, you first must find the length of the sides. Using a manipulated formula for area of an equilateral triangle, we can determine the lengths of the side. Below if the formula.
S =
In this, S is the length of the side and A is the area. So we plug in and get:
S =
S =
S = 12
Now that we have the side as 12, we can use the Pythagorean Theorem to find the height. If you split a equilateral triangle down the middle, you are left with two right triangles. Using this right triangle, the hypotenuse would be 12, the first leg would be 6 (half of the base) and the height would be the other leg. So we plug in and solve.
h = 10.4