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3 years ago

Plz answer these 2 questions hurry

Mathematics

1 answer:

yawa3891 [41]3 years ago

7 0

1: answer is 8a+24b
2: answer is 6x+33y

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Determine the value of x. Write the answer in an inequity. Use x only once in the inequality

Romashka-Z-Leto [24]

Answer: 1 < x < 25

<u>Step-by-step explanation:</u>

The sum of two sides must be GREATER than the third side.

a + b > c a + c > b b + c > a

12 + 13 > x 12 + x > 13 13 + x > 12

25 > x x > 1 x > -1

x < 25 1 < x

Length cannot be negative so disregard x > -1

We are left with 1 < x and x < 25

1 < x < 25

4 0

3 years ago

Identify the multiples of the given numbers.

inn [45]

1. 6, 12, 18
2. 8,16,24
3. 12, 24, 36
4. 15, 30, 45, 60
4. 30, 60, 90

5 0

3 years ago

Read 2 more answers

Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

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

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

4 years ago

Which number line models the sum of 1+(−2) correctly?

Tomtit [17]

Answer:

option 3

Step-by-step explanation:

you add one, so the arrow goes one space to 1

since youre sutracting -2, the arrow goes ack two spaces to -1

7 0

3 years ago

Which number should she subtract from both sides of the equation?

bezimeni [28]

Where’s the problem where it explains what’s she is subtracting?

7 0

3 years ago