Answer:
Step-by-step explanation:
Hi!
Here is the formula for point slope form: y-y1=m(x-x1)
Our slope in this case is 5, and our points are (1, 9). 1(x1) and 9(y1)
So, if we substitute our given data into the formula, here is what we will get.
y-9=5(x-1)
Thus, our answer should be:
y-9=5(x-1)
I hope this helps!
:)
The numbers are: 36 and 11 .
______________________________________________
Explanation:
______________________________________________
Let us represent the TWO (2) numbers with the variables;
"x" and "y" .
__________________________________________
x + y = 47 .
y − x = 25.
__________________________________________
Since: " y − x = 25 " ;
Solve for "y" in terms of "x" ;
y − x = 25 ;
Add "x" to each side of the equation:
_____________________________________________
y − x + x = 25 + x ;
to get:
y = 25 + x .
Now, since:
x + y = 47 ;
Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :
x + (25 + x) = 47 ;
x + 25 + x + 47 ;
2x + 25 = 47 ;
Subtract "25" from each side of the equation:
2x + 25 − 25 = 47 − 25 ;
2x = 22 ;
Divide EACH SIDE of the equation by "2" ;
to isolate "x" on one side of the equation; and to solve for "x" ;
2x / 2 = 22 / 2 ;
x = 11 ;
______________________________________________
x + y = 47<span> ;
</span>Plug in "11" for "x" into the equation ; to solve for "y" ;
11 + y = 47 ;
Subtract "11" from EACH SIDE of the equation;
to isolate "y" on one side of the equation; and to solve for "y" ;
11 + y − 11 = 47 − 11 ;
y = 36 .
___________________________________________
So: x = 11 , y = 36 ;
___________________________________________
Let us check our work:
y − x = 25 ;
36 − 11 =? 25 ? Yes!
x + y = 47 ;
36 + 11 =? 47 ? Yes!
______________________________________________
The numbers are: 36 and 11 .
______________________________________________
Answer:
x = -3
Step-by-step explanation:
3x –7 = -16
3x = -16 + 7
3x = -9
x = -3
9514 1404 393
Answer:
8.7
Step-by-step explanation:
We have the side adjacent to the angle and we want the hypotenuse. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
Solving for the hypotenuse, we find ...
VW = XW/cos(36°) = 7/0.80901
VW ≈ 8.7
