Answer:
What is the name of the triangle
Ans) triangle with all sides equal is called equilateral, a triangle with two sides equal is called isosceles, and a triangle with all sides a different length is called scalene. A triangle can be simultaneously right and isosceles, in which case it is known as an isosceles right triangle
Step-by-step explanation:
<u>There shall be a picture so that you say its name </u>
<u>Hope</u><u> </u><u>it</u><u> </u><u>helps</u><u> </u>
Step-by-step explanation:
Given
cost of ticket=$60
a. the cost of x tickets is
C(x)=60x
b. sale tax of 5.5% of $60 is 5.5/100*60
0.55*60=$3.3
processing fee = $8
the total cost T(a) for a dollars spent on tickets.
T(a)=60a+3.3+8
T(a)=60a+11.3
c. Find (T ∘ C)(x).
T(x)=60x+11.3
d. Find (T ∘ C)(6)
T(6)=60*6+11.3
T(6)=360+11.3
T(6)=$371.3
This means that for 6 tickets with a tax of 5.5% and a processing fee of $8 the cost will be $371.3
Answer:
<h2>(6 + i)(2 + 9i) = 3 + 56i</h2>
Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
and i² = -1
(6 + i)(2 + 9i) = (6)(2) + (6)(9i) + (i)(2) + (i)(9i)
= 12 + 54i + 2i + 9i²
= 12 + 54i + 2i + 9(-1)
= 12 + 54i + 2i - 9 <em>combine like terms</em>
= (12 - 9) + (54i + 2i)
= 3 + 56i
Answer:
(4, 2)
Step-by-step explanation:
y = 2x^2 - 16x +34 can be simplified by factoring out 2 from all three terms on the right side: y = 2(x^2 - 8x + 17).
We need to "complete the square" here. Notice that the coefficient of x is -8; we take half of that (which is -4) and square this result (which yields 16).
Focusing on x^2 - 8x + 17, we add 16, and then subtract 16, obtaining:
x^2 - 8x + 16 - 16 + 17, or (x - 4)^2 + 1
Now return to the original function, y = 2(x^2 - 8x + 17).
Replace x^2 - 8x + 17 with [x - 4]^2 + 1:
We get y = 2(x^2 - 8x + 17). = 2( [x - 4]^2 + 1 )
This has the form y = a(x - h)^2 + k, and by comparison we see that h = 4 and k = 2. The vertex of this parabola is at (4, 2).
<u>Answer:</u>
x = 4
<u>Step-by-step explanation:</u>
We are given a figure QRST which has two right angled triangles in it and we are to find the value of x.
To find x, we first need to find the side length of RT.
Now finding the value of x:
x = 4