Given:
A line passes through (-5,-3) and perpendicular to 
.
To find:
The equation of the line.
Solution:
We have,
On comparing this equation with slope intercept form, i.e., 
, we get
It means, slope of this line is 
.
Product of slopes of two perpendicular lines is always -1.
Slope of required line is 
and it passes through the point (-5,-3). So, the equation of the line is
where, m is slope.
Therefore, the equation of required line is 
.
Answer:
AB=29; BC=27
Step-by-step explanation:
So they told us AB=4x+9 and that BC=5x+2, and AC=56 , now to help with the question you can draw this information on a number line. Now on a number you can see that basically AC=AB+BC.
So you would write it as such,,
4x+9+5x+2=56
Combine like terms
9x+11=56
Now you have to isolate the x by itself but first get rid of the 11.
9x+11-11=56-11
You would get
9x=45
Here you can divide 9 by both sides to isolate x.
9x/9=45/9
{x=5}
Now to find the value for both substitue x in the equations for both
1. AB=4x+9 where x is 5
4(5)+9 =AB
20+9 =AB
29=AB
You would do the same with BC
2. BC= 5x+2 where x is 5
5(5)+2= BC
25+2= BC
27=BC
If you want to check your answers you can just substitute x for 5 in the first equation we did where AC=AB+BC
Answer:
<h3>
</h3>
Step-by-step explanation:
Distribute 3 through the parentheses
Distribute 2 through the parentheses
⇒
Collect like terms
⇒
Hope I helped!
Best regards!!
Answer:
x = 6.125
Step-by-step explanation:
y = -2 + 34
so
-2x + 34 = 6x - 15
<u>+2x +2x </u>
34 = 8x - 15
<u>+15 +15</u>
49 = 8x
<em><u>x = 6.125</u></em>
plz mark as brianliest if correct!!!
