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3 years ago

Which expression is equivalent to -1/2 (6x-5)

Mathematics

1 answer:

Xelga [282]3 years ago

4 0

Answer:

Step-by-step explanation:

$-\dfrac{1}{2}(6x-5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=\left(-\dfrac{1}{2}\right)(6x)+\left(-\dfrac{1}{2}\right)(-5)=-3x+2.5$

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Viefleur [7K]

(2.7, 2.3)
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5 0

3 years ago

Complete the equation for the standard form of the line that has an x-intercept of -5 and a y-intercept of -4.

Verdich [7]

Answer:

Intercept form $\frac{x}{-5} + \frac{y}{-4} = 1$

The standard form of the equation of the line

4 x + 5 y +20 =0

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that x-intercept (a) = -5

and y-intercept (b) = -4

Intercept form

$\frac{x}{a} + \frac{y}{b} = 1$

$\frac{x}{-5} + \frac{y}{-4} = 1$

⇒ $\frac{4x+5y}{-20} = 1$

4 x + 5 y = -20

<u><em>Final answer:-</em></u>

The standard form of the equation of the line

4 x + 5 y +20 =0

7 0

3 years ago

A wise man once said, “200 reduced by 3 times my age is 29.” What’s is his age?

ehidna [41]

The man's age is 57 years old.

To find this answer follow the steps below:

1. Subtract 29 from 200 to get 171.

2. Divide 171 by 3 to get 57.

To check this, use the equation 200 - (57 x 3) = 29.

1. 57 x 3 = 171. 200 - 171 = 29

2. 200 - 171 = 29. 29 = 29.

Thus meaning the man is 57 years old. I hope this helps!

4 0

4 years ago

Read 2 more answers

Line n intersects lines 1 and m, forming the angles shown in the diagram below.

bija089 [108]

Answer:

B. 4.5

Step-by-step explanation:

(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,

6x + 42 = 18x - 12

Solve for the value of x. Combine like terms.

6x - 18x = -42 - 12

-12x = -54

Divide both sides by -12

-12x/-12 = -54/-12

x = 4.5

Therefore, x = 4.5 would prove lines l and m are parallel to each other.

7 0

3 years ago

Solve for x using figure to the right. Pls answer this it is urgent

goldenfox [79]

Answer:

Therefore the value of x = 10 units

Step-by-step explanation:

Let label the Triangles first,

Δ ABC a right triangle at ∠ A =90°

Δ ADB andΔ ADC a right triangle at ∠ D =90°

Such that

AD = x

BD = 50

CD = 2

∴ BC = BD + DC = 50 + 2 = 52

To Find:

x = ?

Solution:

In right triangle By Pythagoras Theorem,

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

In right triangle Δ ADB andΔ ADC By Pythagoras Theorem we will have,

AB² = BD² + AD²

AB² = 50² + x² ..................equation ( 1 )

and

AC² = DC² + AD²

AC² = 2² + x² ...................equation ( 2 )

Now in right triangle Δ ABC,

BC² = AB² + AC²

Equating equation (1 ) and ( 2 ) and the given value we get

52² = 50² + x² + 2² + x²

∴ 2x² = 2704 - 2504

∴ 2x² =200

∴ $x^{2} =\frac{200}{2}\\\\\therefore x=\pm\sqrt{100} \\\\ \textrm{x cannot be negative}\\\therefore x= 10\ unit$

Therefore the value of x = 10 units

8 0

4 years ago