Answer:
The area of the figure is 143 sq in
Step-by-step explanation:
10 in * 7 in = 70 sq in
12 in * 4 in = 48 sq in
5 in * 5 in = 25 sq in
A = 70 sq in + 48 sq in + 25 sq in
A = 143 sq in
While it's pretty obvious to most of us that
-13x=90-2y
-6x=48-2y
is a system of linear equations, it'd be well to include that info plus the instructions "solve this system of linear equations."
Subtract the 2nd equation from the first:
-13x=90-2y
+6x=-48+2y
-----------------------
-7x = 42. Then x = -42/7, or x = 6.
Now subst. 6 for x in either one of the given equations. Suppose we use the 2nd equation:
-6x=48-2y
Then -6(6)=48-2y, or -36 = 48 - 2y, or 2y = 48+ 36 = 84. Then y = 42.
The solution is (6, 42).
Answer:
given
n=9
a=1
d=3-1=2
Step-by-step explanation:
now , by formula,
sn = n/2(2a+(n-1)d)
= 9/2(2×1+(9-1)×2)
=9/2×18
=81
Answer:
1. The top and bottom lines (-5,3) (8,3) is parallel to line (-2,-2) (11,-2). The sides Lines (-5,3) (-2,-2) is parallel to line (8,3) (11,-2).
2. None of the line create a right angle. None are able to create a box at the angle
Answer:
Expanded form : 300,000 +80,000 +2000 +700 +6.
Step-by-step explanation:
Given : 382,706.
To find : Write this number in expanded form.
Solution : We have given 382,706.
We can see 3 is at hundred thousand place = 300,000
8 is at ten thousand place = 80,000.
2 is at thousand place = 2000.
7 is at hundred place = 700.
6 is at ones place = 6
Then
Expanded form : 300,000 +80,000 +2000 +700 +6.
Therefore, Expanded form : 300,000 +80,000 +2000 +700 +6.
