Answer:
X < 9
Step-by-step explanation:
Add 1 to both sides
3 > x/3
multiply by 3 to get x by itself
9 > x
or
x < 9
Answer:
5. 1
6. Kari is not correct.
Step-by-step explanation:
5. All like terms can be combined. There will be one term remaining after they are.
___
6. The appropriate factoring is x(x+1). This is not the same as x(2x+1).
In order to show equivalence, you need to show that the expressions produce the same result for as many different values of x as the degree of the expression plus 1. That is, you'd need to show equivalence for <em>3 different values of x</em>, as a minimum for this second-degree expression.
When we speak of the word "perimeter" of a circle, we mean to say the circumference. Since we are only given a semicircle, the perimeter would be,
perimeter = (pi)(radius) + diameter
Substituting the known values,
perimeter = (3.14)(6 cm) + 12 cm
The value of the perimeter is,
perimeter = 30.84 cm
Answer:
The equation of the line is 7 x +5 y = 15.
Step-by-step explanation:
Here the given points are ( 5, -4) & ( -10, 17) -
Equation of a line whose points are given such that
( 
) & ( 
)-
y - 
= 
( x - 
)
i.e. <em>y - (-4)= 
( x- 5)</em>
<em> y + 4 = 
( x - 5)</em>
<em> y + 4 = 
( x - 5 )</em>
<em> ( y + 4) = 
( x - 5)</em>
<em> 5 (y + 4 ) = - 7 (x - 5 )</em>
<em> 5 y + 20 = -7 x + 35</em>
<em> 7 x + 5 y = 15</em>
Hence the equation of the required line whose passes trough the points ( 5, -4) & ( -10, 17) is 7 x + 5 y = 15.
