Answer:
y=x+1
Step-by-step explanation:
1) <u>Find the </u><u>slope</u>
m=-3-4/-4-3
m=-7/-7
m=1
2) <u>Use </u><u>y</u><u>=mx+</u><u>c</u>
<u>by </u><u>using </u><u>the </u><u>point </u><u>(</u><u>3</u><u>,</u><u>4</u><u>)</u>
<u>4</u><u>=</u><u>1</u><u>(</u><u>3</u><u>)</u><u>+</u><u>c</u>
<u>4</u><u>=</u><u>3</u><u>+</u><u>c</u>
<u>c=</u><u>1</u>
3) <u>The </u><u>answer</u>
y=x+1
Answer:
length = 2x = 2(9) = 18 yds
Step-by-step explanation:
Let width = x
Let length = 2x
Area = 162 yd2
length × width = Area
2x(x) = 162
2x2 = 162
Divide by 2 on both sides of equation.
x2 = 81
Square-root both sides of equation to undo the exponent.
x = √(81)
x = 9
Substitute this x value into the initial variables.
width = x = 9 yds
length = 2x = 2(9) = 18 yds
6.25 is the answer to the problem
This is like a triangle.
One side, the hypotenuse, is the length of the ladder, 10 feet in this case.
Another side, one of legs, is the distance from the bottom of the ladder to the side of the wall, 6 feet.
The last side is what we need to find, how high up the ladder reaches.
Using the p<span>ythagorean theorem, we can find this third side.
This is written as a^2 + b^2 = c^2.
A and B are the legs, while C is the hypotenuse.
Plugging in known values, we get:
6^2 + b^2 = 10^2
Solve as much as possible:
6^2 = 36
10^2 = 100
36 + b^2 = 100
Now you must isolate b.
Subtract 36 from both sides.
100 - 36 = 64
b^2 = 64
The last step in finding b is doing the inverse of squaring, which is square rooting.
√64 = 8
So b equals 8.
This means that <span>the ladder can reach 8 feet up the wall.</span></span>
Answer:
<em>x<20/7</em>
Step-by-step explanation:
The expression is not well written. Fine the correct expression below
Given the expression 7x−9<11
Add 9 to both sides of the expression
7x-9+9<11+9
7x < 20
Divide both sides by 7
7x/7 = 20/7
x < 20/7
<em>Hence the required solution is x<20/7</em>