Answer:
we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.
Therefore, the point (0, a) is on the graph of the function f(x) = abˣ
Hence, option (D) is correct.
Step-by-step explanation:
Given the function
f(x) = abˣ
Let us substitute all the points one by one
FOR (b, 0)
y = abˣ
putting x = b, y = 0
0 = abᵇ
FOR (a, b)
y = abˣ
putting x = a, y = b
b = abᵃ
FOR (0, 0)
y = abˣ
putting x = 0, y = 0
0 = ab⁰
0 = a ∵b⁰ = 1
FOR (0, a)
y = abˣ
putting x = 0, y = a
a = ab⁰
a = a ∵b⁰ = 1
TRUE
Thus, we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.
Therefore, the point (0, a) is on the graph of the function f(x) = abˣ
Hence, option (D) is correct.
Answer:
312
Step-by-step explanation:
Volume of the parallalelepiped:
base x width x height
V = 5 x 4 x 12 = 240
for triangular prism:
base = 8-5 = 3
base area = (base x height)/2 = (3x4)/2 = 6
V = base area x 12
V = 6 x 12 = 72
Total volume = 240 + 72 = 312
The standard size of the rectangle's area is x² + 12x + 35
Given:
a diagram that depicts the polynomial that denotes a rectangle's length and width.
The rectangle's area is equal to its length x width.
Given that length is equal to x + 7 and width is equal to x + 5, the area is equal to length plus width.
Add the numbers in brackets: Area = x2 + 5x + 7x + 35
Area = x2 + 12x + 35
A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. We are surrounded by numerous rectangular objects. The length and width of a rectangular shape are the two dimensions that define it. The rectangle's length and width are its longer and shorter sides, respectively. We will learn about the properties of the rectangle shape in this chapter.
To learn more about rectangle's area here
brainly.com/question/20693059
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Full Question = Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
x+7 x+5
we know that
<u>in the triangle PQR</u>
m∠PQR+m∠QPR+m∠QRP=180°------> the sum of the internal angles of a triangle is equal to 180 degrees
(m∠PQR+m∠QRP)+74°=180°-------> (m∠PQR+m∠QRP)=106°
we know that
If QS and SR are angle bisectors
then
<u>In the triangle QSR</u>
m∠SQR+m∠QSR+m∠QRS=180°-------> equation 1
and
(m∠SQR+m∠QRS)=106°/2--------> (m∠SQR+m∠QRS)=53°
substitute the value of (m∠SQR+m∠QRS)=53° in the equation 1
53°+m∠QSR=180°
m∠QSR=180°-53°-------->m∠QSR= 27°
therefore
<u>the answer is</u>
The measure of angle QSR is 27 degrees
