Answer: idk i wanna know the answer too
Step-by-step explanation:
We have been given a table of values of a function. We are asked to determine whether the given function is linear or nonlinear.
We know that a function is linear when its rate of change (slope) is constant.
Let us find slope for each of the given points using slope formula.
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m=\frac{-3-0}{4-1}=\frac{-3}{3}=-1](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-3-0%7D%7B4-1%7D%3D%5Cfrac%7B-3%7D%7B3%7D%3D-1)
Similarly, we will find the slopes using other given coordinates.
![m=\frac{-6-(-3)}{7-4}=\frac{-6+3}{3}=\frac{-3}{3}=-1](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-6-%28-3%29%7D%7B7-4%7D%3D%5Cfrac%7B-6%2B3%7D%7B3%7D%3D%5Cfrac%7B-3%7D%7B3%7D%3D-1)
![m=\frac{-9-(-6)}{10-7}=\frac{-9+6}{3}=\frac{-3}{3}=-1](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-9-%28-6%29%7D%7B10-7%7D%3D%5Cfrac%7B-9%2B6%7D%7B3%7D%3D%5Cfrac%7B-3%7D%7B3%7D%3D-1)
Since the rate of change for each set of points is
, so the rate of change is constant.
Therefore, the given function is linear.
Answer:
shortest side= x
longest side= x+8
other side= 3x
x+x+8+3x= 33
5x+8=33
5x= 25
x= 5
shortest side= x= 5
longest side= x+8= 5+8= 13
other side= 3x= 3(5)=15
Step-by-step explanation:
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are scalene, right angled, isosceles, equilateral.
A right angled triangle is a triangle with one angle equals to 90°.
Statement Reason
∠PQR = ∠RST Given. ∠PQR = ∠RST = 90° (definition for right
angle triangle.
PQ = ST Given
PR ≅ RT Since R is the midpoint of PT, hence PR = RT
ΔPQR ≅ ΔTSR Side-angle-side triangle congruence theorem.
the Side-angle-side triangle congruence theorem
states that if two sides and an included angle of
one triangle is equal to two sides and an included
angle of another triangle, then the two triangles
are congruent. PQ=ST, PR = RT and ∠PQR = ∠TSR
Answer:
V = 4 2/3 units ^3
Step-by-step explanation:
We are given the area of the back rectangle
V = BH where B is the area of the base
V = 3 1/3 * 1 2/5
Rewriting the mixed numbers as improper fractions
V = 10/3 * 7/5
V = 70/15
Simplifying
V = 14/3
Changing back to a mixed number
V = 4 2/3 units ^3