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blondinia [14]
3 years ago
7

(3x+1)/(3x+2) = (x+2)/(x-5)

Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

x = -9/22 or -0.409 to the nearest thousandth.

Step-by-step explanation:

Cross multiplying we get:

(3x + 1)(x - 5) = (3x + 2)(x + 2)

3x^2 - 14x - 5 = 3x^2 +8x + 4

3x^2 - 3x^2 - 14x - 8x = 4 + 5

-22x = 9

x = -9/22

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A yard of fabric cost $12.99. How much will 3.4 pounds cost
SVEN [57.7K]
I believe it's 14.722
8 0
3 years ago
What is the equation of the line that goes through the points (- 2, 1) and (0, 4) ? (Write your answer in standard form .)
tekilochka [14]

Answer:

3x-2y+8=0

Step-by-step explanation:

The slope of the line that goes through the points (-2, 1) and (0, 4) is

\frac{4-1}{0-(-2)} = \frac{3}{2}

The slope of the line that goes through the points (x, y) and (0, 4) is

\frac{4-y}{0-x} = \frac{4-y}{-x}

So \frac{3}{2}=\frac{4-y}{-x}\\-3x=2(4-y)=8-2y\\3x-2y+8=0

5 0
2 years ago
Find the product (2x+5)^3 . Write your answer in standard form
seropon [69]

Formula for this case is

(a+b)∧3=a∧3+3a∧2b+3ab∧2+b∧3

(2x+5)∧3=(2x)∧3+3*(2x)∧2*5+3*2x*5∧2+5∧3=8 x∧3+3*4x∧2*5+3*2x*25+125=

=8x∧3+60x∧2+150x+125

Good luck!!!

5 0
4 years ago
Solve the following equation for h.<br> r+3Q/h=t
Arada [10]

Answer:

             \bold{h=\dfrac{3Q}{t-r}}

Step-by-step explanation:

\bold{r+\frac{3Q}h=t}\\-r\qquad\ -r\\\bold{\frac{3Q}h=t-r}\\\cdot h\qquad \cdot h\\ \bold{3Q=(t-r)h}\\^{\div(t-r)\quad\div(t-r)}\\\bold{\dfrac{3Q}{t-r}=h}

Or, if you mean (r+3Q)/h=t:

\bold{\frac{r+3Q}h=t}\\{}\ \ \cdot h\quad\ \cdot h\\\bold{r+3Q=ht}\\{}\ \ \div t\qquad \div t\\\bold{\dfrac{r+3Q}{t}=h}\\\\\bold{h=\dfrac{r+3Q}{t}}

4 0
3 years ago
Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answe
8090 [49]

The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.

<h3>What is the area of a regular polygon?</h3>

The area of the polygon is the product of half of the apothem of the triangle and perimeter.

The area of the polygon = \frac{1}{2} \times h \times p

The side of the triangle is 10 units.

Apothem of an equilateral triangle

s = \frac{\sqrt{3} a}{6}

s= \sqrt{3} \times 10/6

s = 2.88

Here, a is the side of the triangle.

Thus the apothem of the triangle is 2.9 units.

The perimeter of the equilateral triangle is equal to the three times the sides.

Perimeter of the equilateral triangle ,

P = 3(10)

P = 30

Therefore, the perimeter of the equilateral triangle is 30 units.

The area of the equilateral triangle-

The area of the polygon = \frac{1}{2} \times h \times p

A = 1/2 \times 2.9 \times 30

A = 43.5

Thus the area of the equilateral triangle is 43.5 squared units.

Therefore, The calculated areas of both are the same instead of using the different formulas.

Learn more about the apothem;

brainly.com/question/10580427

7 0
2 years ago
Read 2 more answers
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