Step-by-step explanation:
Following B. O. D. M. A. S rule :
= { [ 8 / 2] ^2 - 6} * (-2)
= { 4 ^ 2 - 6} * - 2
= 10 * - 2
=-20
Answer:
Solution : - 20
Step-by-step explanation:
We have the following expression to simplify,
Let's start by simplifying simple expressions, such as 3 + 5 = 8 and 3 * 2 = 6. Substituting we receive,
8 / 2 = 4, and 4² = 16 -
And of course 16 - 6 = 10, simplifying the expression to " - 2 10 " leaving us with a solution of - 20.
Answer:
3/4
Step-by-step explanation:
set if they have 15 songs to pick from? /(10 pts)
Answer:
If they have 15 songs to choose from and they can only pick three, that means they might have 5 different ways of choosing those songs.
Find the value of k.
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Explanation:
We're going to be using the slope formula a bunch of times.
Find the slope of the line through points A and C
m = (y2 - y1)/(x2 - x1)
m = (-12-9)/(9-2)
m = -21/7
m = -3
The slope of line AC is -3. The slopes of line AB and line BC must also be the same for points A,B,C to be collinear. The term collinear means all three points fall on the same straight line.
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Let's find the expression for the slope of line AB in terms of k
m = (y2 - y1)/(x2 - x1)
m = (k-9)/(4-2)
m = (k-9)/2
Set this equal to the desired slope -3 and solve for k
(k-9)/2 = -3
k-9 = 2*(-3) ..... multiply both sides by 2
k-9 = -6
k = -6+9 .... add 9 to both sides
k = 3
If k = 3, then B(4,k) updates to B(4,3)
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Let's find the slope of the line through A(2,9) and B(4,3)
m = (y2 - y1)/(x2 - x1)
m = (3-9)/(4-2)
m = -6/2
m = -3 we get the proper slope value
Finally let's check to see if line BC also has slope -3
m = (y2 - y1)/(x2 - x1)
m = (-12-3)/(9-4)
m = -15/5
m = -3 we get the same value as well
Since we have found lines AB, BC and AC all have slope -3, we have proven that A,B,C fall on the same straight line. Therefore, this shows A,B,C are collinear.
Answer:
Choice B: Only (-2, 9)
Step-by-step explanation:
Of the two choices, only the point (-2, 9) satisfies the equation:
... y = -2x +5
... 9 = -2(-2) +5 = 4 +5 = 9
Answer:
The correct answer is B. Only (-2,9) is a solution of the equation.
Step-by-step explanation:
To figure out if an ordered pair is a solution to an equation, you could perform a test.
Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.
We have the equation
and two different ordered pairs (2, -9) and (-2, 9).
We use the x-value in the first ordered pair, x = 2, and we plug it into the equation.
If we compare with the ordered pair (2, -9), y must be equal to -9, but when we plugged x = 2 into the equation, we obtained that y = 1, so this is not a solution.
Using the x-value of the second ordered pair, x = -2, we get
Because we obtained y = 9, when we plugged x = -2, the ordered pair (-2, 9) is a solution of the equation.
The correct answer is B. Only (-2,9) is a solution of the equation.
Answer:
area= base(length)*height(width)
possible dimensions
4 *3, 3*4
6*2, 2*6
12*1, 1*12
O (-8, 0) and (4,0)
(8,0) and (-4, 0)
O (2, 0) and (-1,0)
O (-2, 0) and (1, 0)
The image of the parabolic lens crosses the x axis at the points
(-8, 0) and (4, 0)
To find the points where the graph of the function crosses the x axis we need to find the values of x that make f(x) equal to zero
hence we have that
f(x) = 1/4 (x + 8) (x - 4)
0 = 1/4 (x + 8) (x - 4)
x + 8 = 0
x = -8
OR
x - 4 = 0
x = 4
hence we can say that the image of the parabolic lens crosses the x axis at the points (-8, 0) and (4, 0)
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