Answer:
Step-by-step explanation:
area of rectangle=11×5=55 cm²
area of triangle=1/2×5×3=15/2=7.5 cm²
area of shaded region=55-7.5=47.5 cm²
Answer:
y=2x+7
Step-by-step explanation:
A linear equation is typically organized in the form y=mx+b, where m is the slope of the line and b is the y-intercept (the y-coordinate of the point on the line that crosses the y-axis).
Parallel lines <em>always</em> have the same slope. When we examine the given equation, y=2x+6, we can identify immediately that 2 is in the place of m, the slope. This means that the slope of the line we're trying to solve for is also 2. So far, our equation looks like this:
y=2x+b
The last thing we need to calculate is b, the y-intercept. We can do this by plugging in the given point (-1,5) as x and y.
y=2x+b
5=2(-1)+b
5=-2+b
Add 2 to both sides to isolate b
5+2=-2+b+2
7=b
Now that we know b, we plug that into our original equation and now we have a final equation of:
y=2x+7
I hope this helps!
Answer:
Check image
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
First, 4✘5^3
Then, 4✘125
Last, =500
Answer:
a^2-12a+35
Step-by-step explanation:
(a-7)(a-5)
a^2-7a-5a+35
a^2-12a+35