What is the answer to this question?

6.4

Step-by-step explanation:

The given triangle is a Right Angled Triangle with right angle at E.

So, measure of angle E = 90 degrees

measure of angle D = 62 degrees

measure of side FE = 12

We have to find the measure of side DE. Note that side DE is adjacent to Angle D and side FE is opposite to angle D. So we can use tangent ratio to find the measure of DE.

Therefore, the value of DE, rounded to nearest tenth is 6.4

The length of DE = 6.4

Step-by-step explanation:

From the figure we can see a right angled triangle FED.

Right angled at E

To find the DE

Here,

FE = 12  and <D = 62

Tan D = Opposite side/Adjacent side

Tan 62 = FE/DE

DE = FE/Tan(62) = 12/(Tan(62) =12/1.88 = 6.38 ≈ 6.4

Therefore the length of DE = 6.4

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1