Answer:
Step-by-step explanation:
Let length and width of a rectangle be x, x+1
Area = 90 sq.cm
length * width = 90
x * (x + 1) = 90
x² + x = 90
x² + x - 90 = 0
x² + 10x - 9x - 9 * 10 = 0
x ( x + 10 ) - 9 (x + 10 ) = 0
(x + 10 ) (x - 9) = 0
x + 10 = 0 or x - 9 = 0
x = -10 { impossible . as length cannot be negative} ;
x = 9
Length = 9 , width = 10
Answer:
<h2>(g o f)(- 4) = 570</h2>
Step-by-step explanation:
f(x)=4x+5
g(x)=4x² - 5x - 3
To find (g o f)(-4) we must first find
(g o f )(x)
To find (g of f)(x) substitute f(x) into g(x)
That's
(g o f)(x) = 4(4x + 5)² - 5(4x - 5) - 3
= 4( 16x² + 40x + 25) - 20x + 25 - 3
= 64x² + 160x + 100 - 20x + 22
(g o f)(x) = 64x² + 140x + 122
To find (g o f)(- 4) substitute the value of x that's - 4 into (g o f)(x)
Thats
(g o f)(- 4) = 64(-4)² + 140(-4) + 122
= 64(16) - 576 + 122
= 1024 - 454
We have the final answer as
<h3>(g o f)(- 4) = 570</h3>
Hope this helps you
m∠5 has the same measure as m∠12 and m∠9 which is 90°
<h3>
Angles</h3>
An angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.
m∠5 = 90° = x°
m∠5 = m∠12 = m∠9 = 90°
m∠5 has the same measure as m∠12 and m∠9 which is 90°
Find out more on Angles at: brainly.com/question/25770607
Answer:
because it can go overseas