Y=-2/3x+1
Y=3/2x+7
Y=-3/2x+7
The line that is perpendicular to the given line, is:
y = (-3/2)*x + 7
Remember that two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other slope.
Here we start with the line:
y = (2/3)*x + 3
So the slope is 2/3.
The opposite of the inverse of that would be -(3/2). Then any line with a slope of -3/2 will be perpendicular to the given line. So we conclude that the correct option is:
Y = -(3/2)x+7
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did Ria make?
To solve the equation 5 + 3r = 4 + 4r, we need to isolate the 'r' term on one side of the equation. Ria made a mistake by stating that the equation has infinitely many solutions, but the correct solution is r = 1.
The equation given is 5 + 3r = 4 + 4r. To solve this equation, we need to first simplify both sides by combining like terms. On the left side, 5 does not have a 'r' term, so we can leave it as it is. On the right side, 4 has a 'r' term, so we can write it as 4r. Now we have 5 + 3r = 4r + 4. To solve for 'r', we need to isolate the 'r' term on one side of the equation. We can do this by subtracting 3r from both sides of the equation. This gives us 5 = 4r + 4 - 3r. Simplifying further, we get 5 = r + 4. Now, to isolate 'r', we can subtract 4 from both sides of the equation. This gives us 1 = r. Therefore, the solution to the equation is r = 1.
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20/9 ; the probability that the Seahawks will defeat the Raiders.
11/20 ; the probability that the Seahawks will defeat the Raiders.
0.45 ; the probability that the Seahawks will not defeat the Raiders.
Answer:
D: 0.45 ; the probability that the Seahawks will not defeat the Raiders.
Step-by-step explanation:
The complement of an event A is the set of all outcomes in the sample space that are not included in the outcomes of event A.
The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1, or for the event , and its complement event always
If then
Event - the Seahawks will defeat the Raiders
Event - the Seahawks will not defeat the Raiders
Hence, correct choice is D: 0.45 ; the probability that the Seahawks will not defeat the Raiders.
The value of x will be;
⇒ x = 7/2
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
BD is an angle bisector.
Now,
In ΔBFG and ΔBFE;
∠G = ∠E = 90°
BF is common line.
∠GBF = ∠ FBE
Thus, ΔBFG ≅ ΔBFE
Hence, FG = FE
Substitute the values, we get;
⇒ FG = FE
⇒ 2x + 6 = 4x - 1
⇒ 6 + 1 = 4x - 2x
⇒ 7 = 2x
⇒ x = 7/2
Thus, The value of x will be;
⇒ x = 7/2
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