Answer:
Yes; Identity Property..
I hope it helps...
This is written in slope-intercept form; y = mx + b
m = slope
b = y-intetcept
In the equation we are given;
m = -3
b = -2
Therefore, the y-intercept is -2
Best of Luck!
Answer:
-2
Step-by-step explanation:
y = mx + bis how slope intercept form is written. The "mx" is the slope while the "b" is the y-intercept. In the equation y = -3x -2, we can see that -2 is the y-intercept because it is the value of "b".
Answer:
Curl up test
Muscular endurance is the ability of a muscle or group of muscles to sustain repeated contractions against a resistance for an extended period of time. It is one of the components of muscular fitness, along with muscular strength and power.
Logx-log(x+13)=1
Step by step explanation please
Answer:
Step-by-step explanation:
Applying logarithm rule
Log A - Log B= Log(A/B). Division rule
Now, Logx-log(x+13)=1
Log(x/(x+13))=1
Assume that the log is a natural log whose base is 10.
Then apply logarithm law
Log10 base 10=1
Comparing this to Log(x/(x+13))=1
This implies that
x/(x+13)=10
x=10(x+13)
x=10x+130
x-10x=130
-9x=130
x=130/-9
x=-14.444
40.4)
404)
4
(4,4)
3
3
3 2
2
2
2
(2.1)
6,2)
1
5 -4 -3 -2 -14
1
3
4
-5 4 -3 -2 -14
234
-5 6 -3 -2 -14
2
3
4
5
X
-2
-2
نا دیا
-3
-3
4
W4
-5
5
Tu
5
4
(
24)
Graph of the function is attached below.
Correct option is D.
As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:
Definition of exponential function
In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0.
Given, exponential function
f(x) = (1/4)4ˣ
exponential function is defined for x∈R
Putting x = 0
f(0) = (1/4)4⁰
f(0) = 1/4
Point on curve is (0,1/4)
Putting x = 1
f(1) = (1/4)4¹
f(1) = (1/4)4
f(1) = 1
Point on curve is (1,1)
Putting x = 2
f(2) = (1/4)4²
f(2) = (1/4)16
f(2) = 4
Point on curve is (2,4)
Putting x = 3
f(3) = (1/4)4³
f(3) = (1/4)64
f(3) = 16
Point on curve is (3,16)
Point (0, 1/4), (1, 1), (2, 4), (3, 16) can be used to draw graph of the function.
Hence, graph of the function is drawn as follows.
Learn more about exponential function here:
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Answer:
The Third one
Step-by-step explanation:
Your Welcome :)
Answer:
120 yards 1.
Step-by-step explanation:
In the shape, it is a rectangle with a triangle cut out from it. What is the area of the shape:
Area of rectangle = length × width
12 × 15 = 180 yards²
Area of triangle = ½ × base × height
½ × 10 × 12 = 60 yards²
Now subtract the area of triangle from the area of rectangle:
180 - 60 = 120 yards ²
Answer:
the length of his shadow on the building is decreasing at the rate of 0.525 m/s
Step-by-step explanation:
From the diagram attached below;
the man is standing at point D with his head at point E
During that time, his shadow on the wall is y = BC
ΔABC and Δ ADE are similar in nature; thus their corresponding sides have equal ratios; i.e
8y = 24
y = 24/8
y = 3 meters
Let take an integral look at the distance of the man from the building as x, therefore the distance from the spotlight to the man is 12 - x
∴
To find the derivatives of both sides ;we have:
During that time ;
and y = 3
So; replacing the value into above ; we have:
Thus; the length of his shadow on the building is decreasing at the rate of 0.525 m/s