Answer:
The y-intercept is the place where the line meets the y-axis
Step-by-step explanation:
Answer:
(c) {13,16,30}
Step-by-step explanation:
In order for the sides lengths to form a triangle, the sum of the shortest two must exceed the longest.
That will not be the case for ...
{13, 16, 30}
because 13 +16 = 29 < 30.
(13, 16, 30} could not form a triangle
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Answer:
f(3π/4) = -π
A = π
b = 2
Step-by-step explanation:
Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π
Given the general equation: f(x) = A sin(bx), its period is calculated as:
period = 2π/b
which is equal to π, then:
2π/b = π
b = 2
Replacing x = π/4 into the equation of the function, we get:
A sin(2(π/4)) = π
A sin(π/2) = π
A = π
Answer:
Step-by-step explanation:
2y + 100 +6x-10=180(in a cyclic quadrilateral opposite angles are supplementary)
2y+6x+90 =180
2y + 6x = 90
dividing each side by 2
y+3x = 45 ........1
7x+1+2y+74 =180 ( same reason)
7x + 2y =105 ............2
multiplying 1 by 2
2y +6x =90........ 3
subtracting 3 from 2
7x+2y-2y-6x = 105-90
x = 15
substituting x=15 in 1
y+45 =45
y= 0
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We want to change the digit in the number 5,341 into 5,841, and to find the difference between the numbers.
Refer to the figure shown below.
The number 3 is in the 3rd place (hundreds) of the number 5,341 as a digit.
It is replaced by 8 to form the number 5,841.
This means that 300 is replaced by 800 because, in the third place, we count by hundreds in the 3rd place.
The difference between 800 and 300 is 500.
Subtraction of 5,341 from 5,841 also yields 500.
Answer:
The digit is in the 3rd place (hundreds).
The difference between the numbers is 500.