Both the original and the inverse are functions because for each value of C there is a unique value of F and vice-versa.
i.e.
<span>B. Original is a function; inverse is a function </span>
Answer:
Yes The triangles are similar by SAS Similarity Theorem
Step-by-step explanation:
we know that
<u>Side-Angle-Side Similarity,</u> states that If an angle of a triangle is congruent to an angle of another triangle and if the included sides of these angles are proportional, then the two triangles are similar
In this problem
Angle L is congruent with Angle Z
so
Verify if the included sides are proportional
so

substitute the values

-----> is true
therefore
The triangles are similar by SAS
Answer:
We have:
7 + 4 = 11;
11 - 7 = 4;
11 x 2 = 22;
4 x 4 = 16;
22 - 16 = 6;
Finally, 8 x 6 = 48;
Step-by-step explanation:
Step-by-step explanation:
to work out gradient
change in y ÷ change in x
first lines gradient
(7 - - 8) ÷ (7 - 7) = 0
second lines gradient
(7 - 7) ÷ (9 - - 6) = 0
we are given

We will use rational root theorem to find factors
We can see that
Leading coefficient =1
constant term is 6
so, we will find all possible factors of 6

now, we will check each terms
At x=-2:
We can use synthetic division
we get

so, x+2 will be factor
and we can write our expression from synthetic division as


now, we can find factor of remaining terms

we can use quadratic formula


we can compare our equation with quadratic equation
we get

now, we can plug these values




so, we get

so, we can write factor as

so, we get completely factored form as
...............Answer