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3 years ago

Evaluate 24 + |x - 4| - y if x=2 and y= -3 Help me plz

Mathematics

2 answers:

kati45 [8]3 years ago

8 0

Answer:

Step-by-step explanation:

Note that the absolute value function always give a positive value, that is

| - a | = | a | = a

Given

24 + | x - 4 | - y ← substitute x = 2, y = - 3 into the expression

= 24 + | 2 - 4 | - (- 3)

= 24 + | - 2 | + 3

= 24 + 2 + 3

= 29

Sonja [21]3 years ago

5 0

Answer:

$\huge \boxed {29}$

Step-by-step explanation:

$24 + |x - 4| - y$

Given x = 2 and y = -3. Therefore, substitute x = 2 and y = -3 in the expression.

$24 + |2 - 4| - ( - 3) \\ 24 + | - 2| + 3$

Multiplying the negative with negative equal positive. All negative numbers in the absolute will become positive.

$24 + 2 + 3 = 24 + 5 = 29$

Therefore the answer is 29.

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Given x∥y and m∠2=23° . What is m∠7? Enter your answer in the box.

malfutka [58]

Answer:

angle2=23°

angle7=angle5

angle2=angle6

so,angle8=23°

total angle = 180°

angle7=180°-46°=134°÷2=67°

3 0

2 years ago

An earthquake measuring 6.4 on the Richter scale struck Japan in July 2007, causing extensive damage. Earlier that year, a minor

a_sh-v [17]

Answer:

Step-by-step explanation

The earthquake measures 6.4 on the Richter scale which struck Japan in Jullu 2007 and caused and extensive damage. Earlier that year, a minor earthquake measuring 3.1 in the Richter scale has stroked in parts of Pennsylvania.

Fomular:

The magnitude of an earthquake is M log(I/S)

where I donates the intensity of the earthquake and S be the intensity of the standard earthquake.

Calculation:

Consider that M1 be the magnitude Japanese earthquake and M2 be the magnitude of the Pennsylvania earthquake and L1 be the intensity of the Japanese earthquake and L2 the intensity of the Pennsylvania earthquake.

Here the magnitude of the Japanese earthquake is M1 = 6.14 and the magnitude of the Pennsylvania is M2 = 3.1

By the use of magnitude of the earthquake fomular M = log I1/S, the intensity of the Japanese earthquake is calculated as follows .

M1 = log I1/S

I1/s = 10

3 0

3 years ago

2/5 simplified to its lowest

Dmitry [639]

Answer:

Its already simplified.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

4 0

3 years ago

Select the correct answer. What is the domain of the function represented by this graph?

devlian [24]

Answer:

Doman is the x intercpet range

Step-by-step explanation:

all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.

8 0

2 years ago