Diagonal of a rectangle formula:
Diagonal = √l² + w²
Diagonal = √10² + 8²
Diagonal = √100 + 64
Diagonal = √164
Diagonal = 12.806 feet.
Or you can use the pythagorean theorem. The diagonal of a rectangle is the hypotenuse of a triangle.
a²
+ b² = c² ; where a and b represents the lengths of the triangle and c
is the hypothenuse. In this case, the lengths are 10 ft and 8ft.
10² + 8² = 100 + 64 = 164 ; This represents c².
c = √c² = √164 = 12.806 ft
Answer:
x^2+3x+2x+1 is meant to be x^2 +5x+1
<span>3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =
factoring with leading coefficient:
for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b
</span><span><span>
3x^2 - 2x - 8
a=3, b=-2, c=-8
</span>a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4
replace bx with mx + nx and factor by grouping
</span><span>
3x^2 - 2x - 8 = </span>3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)
answer:
<span>3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)</span>
Answer:
343 can be written as
Step-by-step explanation:
since we know,
343 = 7 × 7 × 7
so, we can write 343 as cube of 7
hence,
Answer:
x=−2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−3x−32=−2(5−4x)
−3x+−32=(−2)(5)+(−2)(−4x)(Distribute)
−3x+−32=−10+8x
−3x−32=8x−10
Step 2: Subtract 8x from both sides.
−3x−32−8x=8x−10−8x
−11x−32=−10
Step 3: Add 32 to both sides.
−11x−32+32=−10+32
−11x=22
Step 4: Divide both sides by -11.
−11x
−11
=
22
−11
