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3 years ago

Solve the equation 1/3m+6m-9/3m=3m-3/4m

Mathematics

1 answer:

vekshin13 years ago

3 0

M
=
0

O
r

m
=
23
15

Explanation:
1
3
m
+
6
m
−
9
3
m
=
3
m
−
3
4
m

⇒
1
+
6
m
−
9
3
m
=
3
m
−
3
4
m

⇒
−
8
+
6
m
3
m
=
3
m
−
3
4
m

⇒
(
−
8
+
6
m
)
×
4
m
=
(
3
m
−
3
)
×
3
m

⇒
−
32
m
+
24
m
2
=
9
m
2
−
9
m

⇒
−
32
m
+
24
m
2
−
9
m
2
+
9
m
=
0

⇒
15
m
2
−
23
m
=
0

⇒
m
(
15
m
−
23
)
=
0

m
=
0

Or

15
m
−
23
=
0
⇒
15
m
=
23
⇒
m
=
23
15

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Taven mixes 18 liters of 14% acid solution with a 35% acid solution, which results in 23% acid solution.

miv72 [106K]

(0.35x + 0.14 * 18) / y = 0.23
x + 18 = y

4 0

3 years ago

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the le

Helen [10]

Answer: $\overline{AC}=$ 12.5

Step-by-step explanation: The triangle ABC and its altitude $\overline{BD}$ is represented in the figure below.

Altitude is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of $\overline{BD}$ , now we have two similar triangles, which means that ratios of corresponding sides are equal:

$\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}$

$\overline{BD}^{2}=\overline{BC}.\overline{AD}$ (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

$\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}$

$\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}$ (2)

Substituting (2) into (1):

$\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}$

We want to find f, so:

$\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}$

$f=\frac{10^{2}-5^{2}}{10}$

f = 7.5

The length of $\overline{AC}$ is

$\overline{AC}=f+5$

$\overline{AC}=7.5+5$

$\overline{AC}=12.5$

The length of the hypotenuse of triangle ABC is 12.5 units.

5 0

2 years ago

Read 2 more answers

Write an equation: The sides of a rectangle are x and ( x - 4 ). The perimeter is 87

Svetlanka [38]

The perimeter of a rectangle, is all of the sides added up.

In a rectangle, there are two widths (right and left), and two lengths (up and down)

So:

Perimeter = 2 × width + 2 × length.

To get the equation we just substitute in the values that we are given:

length = (x)

width = (x - 4)

perimeter = 87

So just put these values into: perimeter = 2 × width + 2 × length:

87 = 2(x) + 2(x - 4)

_____________________________

Answer:

The equation is: 87 = 2(x) + 2(x - 4)

(note: this can be simplified down like so:

87 = 2x + 2x - 8

87 = 4x - 8

95 = 4x

23.75 = x

)

5 0

3 years ago

If f(x)=x^2 - 3 and f(a)=46, what is the value of a? explain

dem82 [27]

You are trying to find what x to put into f(x) to get out 46. To do this, solve the following equation.
$x^{2} -3 = 46$
$x^2 = 49$
$x^2 = \sqrt{49}$
Therefore x = 7 or x = -7

-7, 7

8 0

3 years ago

2,936,548 times 283,464 minus 3,844,686,227 24 PTS!!!!!

sattari [20]

Answer:

The answer is 828,560,956,045

Step-by-step explanation:

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3 years ago