Answer:
x < -7
Step-by-step explanation:
An inequality is solved similar to an equation with the exception that when multiplying or dividing by a negative coefficient, the sign must flip in the other direction. The original inequality is:
-6x > 42
To solve, you need to divide both sides of the inequality by -6, however, since you are dividing by a negative coefficient, the sign need to flip the other way:
-6x/-6 > 42/-6 = x < -7
<span>(x – h)</span>2<span> + (y – k)</span>2<span> = r</span><span>2
h is your x value and the opposite of k is your y value. r is the radius
so, in the first equation, your center would be (-4,2) and the radius would be 5 because you take the square root of r
So plot (-4,2) and count 5 units left, right, up, and down from that point.
Do the same thing for the second circle. The center is (2,-1) and the radius is 5.6 units
The other graphs are pretty much the same way.
For number 7, plot the center and the other set of coordinates. Count the distance between the center and that point and that is your radius
For number 6, plot the center, and to get the radius, take half of the diameter.
For the last one you have to use the distance formula</span>
Answer:
32 m^2
Step-by-step explanation:
Quite easy. The altitude of the triangle is 8m. The base of the triangle is 2 + 6. The base is 8 meters and the height of the triangle is 8 meters. The area ofa triangle is base * height divded by 2.
(8 * 8)/2 = 32 sqaure meters
Mark as brainliest if it helped.
Answer:
x = 11√2
Step-by-step explanation:
We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):
x * √2 = 22
We can divide by √2 on both sides to get:
x = 22 / √2
To rationalize the denominator, we multiply by √2 / √2 on the right side:
x = 22√2 / 2
This simplifies to:
x = 11√2
