In this question , it is given that slope of 5 and a y-intercept of (0,-2) .
Now we have to check out the equation of the line that we are gonna use here.
Here we use the slope intercept form, which is
where m is the slope , which is 5 here and y intercept is b , which is -2 here.
Substituting these values in the equation, we will get
Part b .
Now we have to substitute 0 for y, and find the value of x, that is
length = w + 8 and width = w and A = 105
A = W* L
105 =w(w + 8)
105 = w² + 8w
0 = w² + 8w - 105
0 = (w + 15)(w -7)
0 = w + 15 or 0 = w -7
w = -15 or w = 7
width cant be negative, so
w = 7 and L = 7 +8
w = 7 and L = 15
7 * 15 = 105 check
Answer:
-6m-12
Step-by-step explanation:
-(2m-7)-(3+4(m+4)) =
-2m+7-(3+4m+16)=
-2m+7-(19+4m)
-2m+7-19-4m
-6m-12
OR:
-m-2 ( if you divide by 6 as a common factor)
Answer: Breadth = 11 ; Length = 8
Step-by-step explanation:
Let the width of the rectangle be 'x'
Length of the rectangle = x - 3
Perimeter of the rectangle = 38
Perimeter of rectangle formula = 2 ( length + breadth )
Substitute:
2 ( x + x-3 ) = 38
2 ( 2x - 3 ) = 38
2x - 3 = 19
2x = 19 + 3
2x = 22
x = 11
Therefore, the breadth = 11
Length = x-3 = 11 - 3 = 8
To check, find the perimeter:
2( 11 + 8)
= 2 ( 19 )
= 38.
We get the same perimeter so the answer is correct.
Answer:
length =8
Step-by-step explanation:
x= width
x-3(3 inches less than the width)
x+x-3+x+x-3=38
4x-6=33. add 6 on both sides
4x=44 divide by 4
x=11. plug 11 in for x because 11 is the width. in the equation x-3. (x=width) 11-3= 8. The length is 8.
Answer:
1) Linear Pair
2) Adjacent
3) Complmentary
4) Vertical
Difference of Cubes
Difference of Squares
Square of Binomial
Sum of Cubes
A.
-2/5
B.
-8/18
C.
16/-36
D.20/45