Answer:
The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.
Step-by-step explanation:
Recall the four very important rules regarding translations (shifts) of the graph of functions:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
We notice that in our case, The original function 
has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).
Answer: A
Step-by-step explanation: though they did phrase it in a very weird way, and I would suggest to you to make sure your formatting of your question is understandable, A demonstrates distributive property. you can imagine this as two little arrows going from the multiplier outside the parentheses, to each number inside them. this property is used a Lot in basic algebra and using variables. basically, instead of adding inside the parentheses first, and then multiplying that answer by the outside number, you just multiply the outside number by each number inside the parentheses Individually. and then follow through with the operation. this can get confusing if subtraction or negatives are involved, but I'm sure you'll figure it out :)
If the value of x is 10. Then the measure of angle ∠COB will be 56°.
<h3>What is an angle?</h3>
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
Given that A, O, and B lie on a straight line segment.
Then they make a linear angle that is 180 degrees.
Then we have
∠AOC + ∠COD + ∠DOB = 180
(3x + 94) + (x + 30) + (2x - 4) = 180
6x + 120 = 180
6x = 60
x = 10
Then the measure of angle ∠COB will be
∠COB = ∠COD + ∠DOB
∠COB = (x + 30) + (2x - 4)
∠COB = (10 + 30) + (20 - 4)
∠COB = 40 + 16
∠COB = 56°
More about the angled link is given below.
brainly.com/question/15767203
#SPJ1
Answer:
Shortest side = 7 inches.
Medium side = 9 inches.
Longest side = 10 inches.
Step-by-step explanation:
Let the shortest side be x.
Translating the word problem into an algebraic equation, we have;
Shortest side = x
Medium side = x + 2
Longest side = x + 3
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
Substituting into the equation, we have;
26 = x + x + 2 + x + 3
26 = 3x + 5
3x = 26 - 5
3x = 21
x = 21/3
x = 7 inches.
<em>Therefore, the length of the three sides are;</em>
<em>Shortest side = x = 7 inches. </em>
<em>Medium side = x + 2 = 7 + 2 = 9 inches. </em>
<em>Longest side = x + 3 = 7 + 3 = 10 inches. </em>
Step-by-step explanation:
If 5 was the radius, do 3.14 (5)^2 same thing as= 3.14 times 25
Which equals 78.5 (I rounded it also)
Let me know if it was correct!
