Let a = longest side <em> (Establishing labels)</em>
let b = shortest side
let c = third side
P = 14.5 <em> (Given)</em>
a = 6.2
b = 1/2(a)
P = a + b + c
P = 6.2 + 3.1 + c <em>(Fill in given info in equation)</em>
P = 9.3 + c <em>(Simplify)</em>
14.5 = 9.3 + c <em>(Simplify)</em>
c = 14.5 - 9.3 <em>(Solve)</em>
c = 5.2
Hope this made sense!
Answer: a) Linear function
b) adding 8 each time x increases by 1
c) (0,13)
Step-by-step explanation:
For the given table, the rate of change is constant throughout the table.
The rate of change = 
Similarly we can check for every interval, the rate of change remains constant .
Thus, it is a linear function and the pattern we observe here is "adding 8 each time x increases by 1".
We know that the ordered pair of y intercept = (0,y)
In the table at x=0, y=13
hence, the y intercept of the given function is (0,13)
Answer:
(a) AD=6 cm
(b) 66 cm²
(c) 38 cm
Step-by-step explanation:
(a) To get the length of AD, we can use pythagoras on the triangle part. Let's say the dotted line intersects DC at E. Then since AB and DC are parallel, AD is equal to BE. EC = 8 cm simply by subtracting AB from DC (15-7=8).
Then pythagoras says that 8²+BC²=10². So BC = √(100-64) = 6. And since BC=AD, AD is also 6.
(b) Area of the rectangle DEBA is 7*6 = 42. Area of triangle ECB is base times half height: 8*3 = 24. Sum is 42+24 = 66 cm²
(c) Perimeter is 7+10+15+6 = 38 cm. Add all the side lengths.
Answer:
it's easier if you use the scan & solve. that brainly provided for you
Step-by-step explanation: need to find a basis for the solutions to the equation Ax = 0. To do this ... 0 0 0 1 −3. ⎤. ⎦. From this we can read the general solution, x = ⎡. ⎢. ⎢. ⎢. ⎢. ⎣ ... two vectors are clearly not multiples of one another, they also give a basis. So a basis ... 4.4.14 The set B = {1 − t2,t − t2,2 − 2t + t2} is a basis for P2.
