Answer:
A or 
Step-by-step explanation:
Remember y=mx+b | m = slope & b = y intercept
Think back of rise over run. Where the rise is 1 and 2 is run. Now Also, lets not forget the y intercept which you can easily obtain by looking where the line intercepts the y axis. Which in this case it would be 2.
Answer:
11
Step-by-step explanation:
I just assumed D is the midpoint; and if D is the midpoint,
GD=DH, GD+DH=GH
5.5+5.5=11
Answer:
I'm 75% sure that the answer is A, but not a 100. You might want to wait until you get more answers.
Answer: Option 'a' is correct.
Step-by-step explanation:
Since we have given that
Dimensions of the room is given by
15 ft by 25 ft
Let x be the width around the rug.
So, new length = 15-2x
new breadth = 25-2x
Since Area of the rug = 264 sq. ft
So, it becomes,

Hence, Option 'a' is correct.
Answer:
y = 1/4x + 7
Step-by-step explanation:
(-4, 6) and (0, 7)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(7 - 6) / (0 - (-4))
Simplify the parentheses.
= (1) / (0 + 4)
= (1) / (4)
Simplify the fraction.
= 1/4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 1/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 7). Plug in the x and y values into the x and y of the standard equation.
7 = 1/4(0) + b
To find b, multiply the slope and the input of x(0)
7 = 0 + b
Now, isolate b.
7 = b
Plug this into your standard equation.
y = 1/4x + 7
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 6).
y = 1/4x + 7
6 = 1/4(-4) + 7
6 = -1 + 7
6 = 6
Your equation is correct.
Hope this helps!