Answer:
Solve for x: x + 128 = 180, x = 52°
Solve for y: x + y = 90 or 52 + y = 90, y = 38°
Step-by-step explanation:
In order to solve for the measures of ∠x and ∠y, you first need to remember that angles that are complementary add up to 90° and angles that are supplementary add up to 180°. So, in order to solve for 'x', which is supplementary to a 128° angle, we can set up an equation where the sum of ∠x and 128° = 180°:
x + 128 = 180, subtract 128 from both sides: x + 128 - 128 = 180 - 128, x = 52°
Knowing that ∠x + ∠y = 90° and now that ∠x = 52°, we can set up the second equation:
52 + y = 90, subtract 52 from both sides: 52 + y - 52 = 90 - 52 or y = 38°
Answer:
You're welcome
Step-by-step explanation:
Hi there! The answer is A.
To get a proper idea of the type of function this formula represents we work out the parenthesis.
Working out the parenthesis can for instance be done using rainbow technique.
We can now see sinilarities between this function an the general function of a line in slope intercept form
The function t therefore describes a line with slope 2 and y-intercept 4. Therefore the answer is A.
Answer:
10
Step-by-step explanation:
-12x-12 = -13x-2
x= 10
To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.
The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.
Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.
Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).
This therefore results in your answer, the new graph would be
g(x)= -4(x-3)^2 or choice B.
