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3 years ago

What is the solution to -(4x-3) = -7(9+x) ???

Mathematics

1 answer:

Likurg_2 [28]3 years ago

8 0

Answer:

The solution is -22

Step-by-step explanation:

The solution of an equation is the value of the variable of the equation

∵ -(4x - 3) = -7(9 + x)

→ Simplify each side

∵ -(4x) - -(3) = -7(9) + -7(x)

∴ (-4x) - (-3) = -63 + (-7x)

→ Remember (-)(-) = (+) and (-)(+) = (-)

∴ -4x + 3 = -63 - 7x

→ Add 7x to both sides

∴ -4x + 7x + 3 = -63 - 7x + 7x

∴ 3x + 3 = -63

→ Subtract 3 from both sides

∵ 3x + 3 - 3 = -63 - 3

∴ 3x = -66

→ Divide both sides by 3

∴ x = -22

∴ The solution is -22

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Answer:

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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1 year ago

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra

Nana76 [90]

The length of BC is $4 \sqrt{5}$ .

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

Leg rule of geometric mean theorem:

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

$\Rightarrow 16\times 5 = x\times x$

$\Rightarrow 80= x^2$

$\Rightarrow 16\times 5= x^2$

Taking square root on both sides.

$\Rightarrow \sqrt{16\times 5} = \sqrt{x^2}$

$\Rightarrow \sqrt{4^2\times 5} = \sqrt{x^2}$

square and square roots get canceled, we get

$\Rightarrow 4\sqrt{ 5} = x$

The length of BC is $4 \sqrt{5}$ .

7 0

3 years ago

Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t

malfutka [58]

Answer:

$P(t)=37\times (4)^{(t/9.1)}$

Explanation:

The number of emails is multiplied by 4 every 9.1 weeks.

Thus, since Tobias initially sent the chain letter to 37 friends, the number of letters will grow as per this geometric series:

Start: 37 letters

In 9.1 weeks: 37 × 4

In 2 × 9.1 weeks: 37 × (4)²

In 3 × 9.1 weeks: 37 × (4)³

As you see, the exponent is the number of weeks divided by 9.1

Thus, if your variable is the number of weeks, t, then the exponent is t/9.1

And the exponential function, P(t) will be:

$P(t)=37\times (4)^{(t/9.1)}$

3 0

3 years ago

What is the answer for 5x+2=2x-10

Lady bird [3.3K]

5x+2=2x-10

3x=-12

x=-4

4 0

3 years ago

Read 2 more answers