Answer:
Step-by-step explanation:
x 6 a
8 48 c
-4 b 20
Let the unknown numbers of the multiplication grid are a, b and c.
1). 6 × 8 = 48
2). (-4)×6 = b
b = -24
3). (-4) × a = 20
a = -5
4). 8 × a = c
8 × (-5) = c
c = -40
Therefore, missing in the given multiplication grid are,
x 6 -5
8 48 -40
-4 -24 20
10(10x−12)=−9(−9x−2)−5
Step 1: Simplify both sides of the equation.
−10(10x−12)=−9(−9x−2)−5
(−10)(10x)+(−10)(−12)=(−9)(−9x)+(−9)(−2)+−5(Distribute)
−100x+120=81x+18+−5
−100x+120=(81x)+(18+−5)(Combine Like Terms)
−100x+120=81x+13
−100x+120=81x+13
Step 2: Subtract 81x from both sides.
−100x+120−81x=81x+13−81x
−181x+120=13
Step 3: Subtract 120 from both sides.
−181x+120−120=13−120
−181x=−107
Step 4: Divide both sides by -181.
−181x
−181
=
−107
−181
x=
107
181
Answer:
x=
107
181
Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft
It should be a right angle (90º).
#1: 4*5 + 4*6=20+24=44
#2: 4*(5+6)=4*11=44
