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3 years ago

Solve the inequality: | x/4 - 7 | < -2

Mathematics

1 answer:

ryzh [129]3 years ago

4 0

Answer:

<h2>no solution</h2>

Step-by-step explanation:

$\left|\dfrac{x}{4}-7\right|$

We know: absolute value is always non-negative.

Therefore, this inequality has no solution.

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The area of a square pond is 1000m2.A path of uniform width is surrounded outside the pond and its area is 369m2.find the outer

Romashka-Z-Leto [24]

Answer:

631 m²

Step-by-step explanation:

Outer length of park = Total area - Area of pond

Outer length of park = 1000 - 369

Outer length of park = 631 m²

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3 years ago

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P (6,6) y=2/3x

matrenka [14]

Answer:

$y = -\frac{3}{2}x+15$

Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

$y = \frac{2}{3}x$

We need to find the equation of the line perpendicular to the given line that contains P

Solution:

The equation of the line.

$y = \frac{2}{3}x$

Now, we compare the given equation by standard form $y = mx +c$

So, slope of the line $m_{1} = \frac{2}{3}$ , and

y-intercept $c=0$

We know that the slope of the perpendicular line $m_{1}\times m_{2} = -1$

$m_{2}=-\frac{1}{m_{1}}$

$m_{2}=-\frac{1}{\frac{2}{3} }$

$m_{2}=-\frac{3}{2}$

So, the slope of the perpendicular line $m_{2}=-\frac{3}{2}$

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

$y=mx+c$

Substitute point $P(x_{1}, y_{1})=P(6, 6)$ and $m = m_{2}=-\frac{3}{2}$

$6=-\frac{3}{2}\times 6 +c$

$6=-3\times 3 +c$

$c=6+9$

$c=15$

So, the y-intercept of the perpendicular line $c=15$

Using point slope formula.

$y=mx+c$

Substitute $m = m_{2}=-\frac{3}{2}$ and $c=15$ in above equation.

$y = -\frac{3}{2}x+15$

Therefore: the equation of the perpendicular line $y = -\frac{3}{2}x+15$

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4 years ago

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irina1246 [14]

Answer:

you should make the picture more clear, i cant see the answer choices

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3 years ago

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zhuklara [117]

Answer:

Step-by-step explanation:

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3 years ago

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In a right triangle the leg opposite to the acute angle of 30° is 7 in. Find the hypotenuse and other leg.

Maksim231197 [3]

This is a 30-60-90 triangle.
Therefore,
7 is A
the other leg is A√3
And the hypotenuse is 2A
So the other leg is 7√3 and the hypotenuse is 14

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3 years ago

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