Answers:
A. k= 49°
B. RSQ= 157°
explanations:
A. the angle shown is a right angle, right angles are 90°. so to get the measure of angle k you must subtract the already known angle from 90°. thus giving the answer 49°
B. a straight line has a measure of 180°. to get the measure of RSQ, you have to subtract the already known angle from 180°. thus giving the answer 157°.
Answer: The slope is 2/3 ans I simpify
it :)
Step-by-step explanation: (-14, -1),(-5,5)
y2-y1
x2-x1
5-(-1) = 6/3=2
-5-(-14) = 9 /3 =3
Answer: Rectangle
Step-by-step explanation:
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
If you begin with the basic equation of a vertical parabola: y-k=a(x-h)^2, where (h,k) is the vertex, then that equation, when the vertex is (-3,-2), is
y + 2 = a (x + 3)^2. If we solve this for y, we get
y = a(x+3)^2 - 2. Thus, eliminate answers A and D. That leaves B, since B correctly shows (x+3)^2.
