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3 years ago

Solve for x 2-3(2x-1)=-6x+5

1 answer:

6 0

Step 1: Simplify both sides of the equation.
2
−
3
(
2
x
−
1
)
=
−
6
x
+
5
2
+
(
−
3
)
(
2
x
)
+
(
−
3
)
(
−
1
)
=
−
6
x
+
5
(Distribute)
2
+
−
6
x
+
3
=
−
6
x
+
5
(
−
6
x
)
+
(
2
+
3
)
=
−
6
x
+
5
(Combine Like Terms)
−
6
x
+
5
=
−
6
x
+
5
−
6
x
+
5
=
−
6
x
+
5
Step 2: Add 6x to both sides.
−
6
x
+
5
+
6
x
=
−
6
x
+
5
+
6
x
5
=
5
Step 3: Subtract 5 from both sides.
5
−
5
=
5
−
5
0
=
0

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A cactus casts a shadow 33 feet long. At the same time of day, Liam who is 6 feet tall, casts a shadow 9 feet long, as shown.

castortr0y [4]

Answer:

here's the solution :-

1.) =》the base of the larger triangle is the length of shadow formed by cactus .

so, length of cactus is : 33 feet.

2.) now, jn the smaller triangle formed by liam and it's shadow : -

=》

since both triangle form 90° the bases of both the larger and smaller triangles are parallel , so the base angles of larger triangle = corresponding base angles of the smaller triangle

hence, the both triangles are similar

( by A.A postulate )

now since the both triangles are similar, the the sides will be proportional ,

=》

$\frac{9}{33} = \frac{6}{x}$

=》

$x = \frac{6}{9} \times 33$

=》

$x = 2 \times 11$

=》

$x = 22$

so, length of the cactus = x = 22 feet

6 0

3 years ago

Trigonometry (ASAP) (Urgent)

Olin [163]

Answer:

h = 1.403733341286

Step-by-step explanation:

17.

the triangle of sides ‘l’ and ‘l-h’ is a right angled triangle.

Then

$\cos \theta =\frac{l-h}{l}$

Then

$l\cos \theta =l-h$

Then

$h=l-l\cos \theta$

18.

For l = 6 and θ = 40 :

$h=l-l\cos \theta$

= 6-6cos(40)

= 1.403733341286

8 0

1 year ago

A tree casts a shadow that is about 10 ft long. Javier, who is about 5 ft tall, is standing near the tree. Javier’s shadow is ab

Tju [1.3M]

10 4 , so basically you cross multiply : 10x=20 .... 20 divided by 10 is 2 . x=2

___ = ___

5 x

5 0

3 years ago

Simplify seven square root of three end root minus four square root of six end root plus square root of forty eight end root min

Cloud [144]

$7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{54}$ simplified as $11\sqrt{3}- 7\sqrt{6}$ or $1.909$ .

Step-by-step explanation:

We need to Simplify seven square root of three end root minus four square root of six end root plus square root of forty eight end root minus square root of fifty four. Which is equivalent to $7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{54}$ :

$7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{54}$

⇒ $7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{44}$