Answer:
-9/8
Step-by-step explanation:
The two points given are
(1,6) and (9,-3)
The slope is given by
m = (y2-y1)/(x2-x1)
= (-3-6)/(9-1)
= -9/8
Important:
The sum of the three angles inside
every triangle is always 180°.
First, look at the left triangle alone.
Two of its angles are 46° and 58° . (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'.
x = 76° .
At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But x = 76°.
So z = (180° - 76°). z = 104° .
Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and z = 104°.
(13° + 104°) = 117° .
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
y = 63° .
<span>2x - 3(-4x + 2 )
2x+12x-6
14x-6
2(7x-3)</span>
Answer:
Option B (1,10)
Step-by-step explanation:
we have

we know that
If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)
<u><em>Verify each case</em></u>
case A) (0,0)
For x=0

Compare the value of f(x) with the y-coordinate of the ordered pair

therefore
The ordered pair is not on the graph of f(x)
case B) (1,10)
For x=1
Compare the value of f(x) with the y-coordinate of the ordered pair

therefore
The ordered pair is on the graph of f(x)
case C) (0,10)
For x=0

Compare the value of f(x) with the y-coordinate of the ordered pair

therefore
The ordered pair is not on the graph of f(x)
case D) (10,1)
For x=10

Compare the value of f(x) with the y-coordinate of the ordered pair

therefore
The ordered pair is not on the graph of f(x)
Answer:
No solution
Step-by-step explanation:
So we have the equation:

First, subtract 20 from both sides:

Now, we can stop. Recall that absolute value will always <em>always</em> give a positive answer.
Since this equals -16, this means that there is no solution.
And we're done!