Since <A is congruent to <C , so triangle ABC is an isoceles triangle and side AB is congruent to BC.
AB = BC
Therefore, we can set up an equation as following:
10x - 7 = 2x + 33
10x - 7 - 2x = 2x + 33 -2x Subtracting 2x from each sides.
8x -7 = 33
8x - 7 + 7 = 33 + 7 Add 7 to each sides.
8x = 40
Divide each sides by 40.
So, x = 5
Answer:
0
Step-by-step explanation:
It's a horizontal line, it has no slope.
Well, ok, the x intercepts aer where the function equals 0
also
if the x intercepts are r1 and r2 then the factored form of the function is
f(x)=a(x-r1)(x-r2) where a is a constant
well, we have it already in that form
f(x)=(x-3i)(x-3i)
the x intercept is at x=3i
standard form requires expansion
we expand to get
f(x)=x²-6i-9
Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then shift left by a units
• If a < 0 then shift right by a units
Thus g(x) = (x + 3)² is a shift left of 3 units
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then shift up by c units
• If c < 0 then shift down by c units
Thus g(x) = (x + 3)² - 5
represents a 3 unit shift to the left and a shift down of 5 units
Answer:
length: 23 m; width: 11 m.
Step-by-step explanation:
The perimeter of a rectangle is twice the sum of its length and width, so that sum is 34 m. Then you can write two equations in length and width:
l + w = 34
l - w = 12
Adding these together gives you ...
2l = 46
l = 23 . . . . . . divide by 2
Then the width is
w = 23 -12 = 11
The length and width are 23 m and 11 m, respectively.
