Answer:
Width = 2
Length = 5
Step-by-step explanation:
let A be the area of the rectangle
L be the length of the rectangle
w be the width of the rectangle
<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’
A = L × w
…………………………………………………
A = L × w
⇔ 10 = (w + 3) × w
⇔ 10 = w² + 3w
⇔ w² + 3w - 10 = 0
<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 = 0 :
Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49
then √Δ = 7
-5 is not valid ,because w represents the width
which must be a positive number
Then w = 2
<u><em>Conclusion</em></u>:
Width = 2
Length = 2 + 3 = 5
The answer is 3588 if you multiply 46 x 78 you get 3588
Answer:
y = -x + 1
Step-by-step explanation:
We're putting it into the form y=mx+b where m is the slope, and b is the y-intercept.
When two lines are parallel, they have the same slope, so the slope is going to be -1.
New equation: y = -x + b.
Now, you know that (4, -3) is a solution so you can plug in x = 4 and y = -3, then see what value of b make the equation true.
-3 = -4 + b
add 4 to both sides
1 = b
This means that the equation is y = -x + 1
1/20 were striped if you want that as a decimal it would be 0.05 :)
Answer:
a and -b is the answer
Step-by-step explanation:
(x-a)(x+b) = 0
x-a = 0 and x+b = 0
then
x = a and x = -b
