2x - 3(x + 4) = -5
2x - 3x - 12 = -5
-x - 12 = -5
-x = -5 + 12
-x = 7
x = -7
The answer is: x = -7.
Respuesta:
3,59 metros
Explicación paso a paso:
Conversión del ángulo de elevación a grados;
29 ° 12 '35 "
= 29 ° + 12 '/ 60 + 35 "/ 3600
= 29,20972 °
Resolviendo el triángulo de solución adjunto:
La longitud de la sombra se puede obtener utilizando la relación trigonométrica;
Sin θ = opuesto / hipoteno
Sin 29.20972 = 1.75 / sombra
Sombra = 1.75 / Sin 29.20972
Longitud de la sombra = 3,59 m
Answer:
Ted is correct. Maggie made mistakes while trying to isolate x for both equations.
Step-by-step explanation:
For 3x-2=0, in order to move -2 to the left side, Maggie had to add 2 on both sides because -2+2=0. The same problem is seen for x+5=0. Maggie had to subtract 5 on both sides because +5-5=0
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
1.06
1.501
1.506
1.605
Hope this helps
