Answer:
Let's solve your equation step-by-step.
|−x−15|=|5x−23|
Solve Absolute Value.
|−x−15|=|5x−23|
We know either−x−15=5x−23or−x−15=−(5x−23)
−x−15=5x−23(Possibility 1)
−x−15−5x=5x−23−5x(Subtract 5x from both sides)
−6x−15=−23
−6x−15+15=−23+15(Add 15 to both sides)
−6x=−8
−6x
−6
=
−8
−6
(Divide both sides by -6)
x=
4
3
−x−15=−(5x−23)(Possibility 2)
−x−15=−5x+23(Simplify both sides of the equation)
−x−15+5x=−5x+23+5x(Add 5x to both sides)
4x−15=23
4x−15+15=23+15(Add 15 to both sides)
4x=38
4x
4
=
38
4
(Divide both sides by 4)
x=
19
2
Check answers. (Plug them in to make sure they work.)
x=
4
3
(Works in original equation)
x=
19
2
(Works in original equation)
Answer:
x=
4
3
or x=
19
2
Step-by-step explanation:
Answer:
the point is (3, 3) . . . . . . y = 3
Step-by-step explanation:
Write the point-slope equation of the line through the point you know. Then evaluate that equation for x=3 to see what the value of y is.
Point-slope form:
y = m(x -h) +k . . . . slope m through point (h, k)
y = -1/2(x -9) +0 . . . . line with slope -1/2 through point (9, 0)
For x=3, the value of y is ...
y = -1/2(3 -9) + 0 = -1/2(-6) = 3
The value of y is 3.
Answer:
a) True
b) False
c) True
d) False
e) Not a proposition
f) Not a proposition
Step-by-step explanation:
Proposition:
- It is a declarative statement that is either false or true.
- It cannot be both true or false.
a) Boston is the capital of Massachusetts.
The given statement is true. Hence, the given statement is a proposition.
b) Miami is the capital of Florida.
The given statement is false. Hence, the given statement is a proposition.
c) 2 + 3 = 5.
The given statement is true. Hence, the given statement is a proposition.
d) 5 + 7 = 10.
The given statement is false. Hence, the given statement is a proposition.
e) x + 2 = 11.
The given statement can neither be true or false. It depends on the value of x. Hence, it is not a proposition.
f ) Answer this question.
The given statement is not a declarative in nature. Hence, it is not a proposition.
Answer:
I'm pretty sure the answer is B
Step-by-step explanation:
sorry if I'm wrong
Step-by-step explanation
Here ...I'm not too sure about the question as you have written
P = 2 ( 1 + 6 ) and ask to solve for L ...
.So I guess the question you have written is wrong .. ...and I guess there should be L in the place of 1.
...So let me correct the question....
P = 2 ( l + 6 )
P = 2l + 12
P - 2l = 12
- 2l = 12 - P
- 2l = - P + 12
Change the sign of both side of the equation...
2l = P + 12
divide both side by the same number...
L = ( P + 12 ) ÷ 2
Calculate the product of rational numbers...
