MATHEMATICS HIGH SCHOOL

What is the ordered pair is the vertex of y=-|x+4|

Answers

Answer 1

Answer:

Answer: The vertex of the given function is (-4,0).

Step-by-step explanation:

Since, the standard form of an absolute function is,

y = a|x-h| + k

Where (h,k) is the vertex of the function,

Here, the given function is,

y = -|x+4|

⇒ y = (-1)|x-(-4)| + k

By comparing,

We get, a = -1, h = -4 and k= 0

Hence, the vertex of the given function is (-4,0).

Answer 2

Answer: $vertex:\n\nx+4=0\to x=-4\n\nvertex\ is\ (-4;\ 0)\n\nlook\ at\ the\ picture$

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A rectangle has a length of 7 and a width of w. What is an expression for the perimeter?

Answers

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Evaluate (2 – 5i)(p + q)i when p = 2 and q = 5ia. 29i
b. 29i-20
c.-21i
d.29

Answers

Answer:

The value of the (2 – 5i)(p + q)i is 29i .

Option (a) is correct .

Step-by-step explanation:

As the expression given in the question.

= (2 - 5i) (p + q)i

Simplify the above

= (2 - 5i) (pi + qi)

= 2pi + 2qi - 5pi²- 5qi²

As i² = -1

Put in the above

= 2pi + 2qi + 5p +5q

= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i

= 4i + 10i² + 10 + 25i

As i² = -1

= 4i - 10 + 10 + 25i

= 29i

Thus the value of the (2 – 5i)(p + q)i is 29i .

Option (a) is correct .

29i (A.) hope this helps

Please help! Correct answer only! I need to finish this assignment before tomorrow.In a raffle, one ticket out of 500 will win a $390 prize, three tickets will win a $230 prize, and sixteen tickets will win a $170 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?

Answers

Answer: $7.60

===========================================================

Work Shown:

1/500 = 0.002 is the probability of winning $390

3/500 = 0.006 is the probability of winning $230

16/500 = 0.032 is the probability of winning $170

Multiply the probabilities with their respective winnings

0.002*390 = 0.78

0.006*230 = 1.38

0.032*170 = 5.44

Then add up those results

0.78+1.38+5.44 = 7.60

which is the expected value.

Side note: This game is not a fair game because mathematically a "fair game" is defined as such where the expected value is 0; ie, neither the player nor the dealer win and things break even.

Brain dead someone help

Answers

Answer:

cant see it

Step-by-step explanation:

can you flip it pls

For what value of θ, in degrees, is sin θ = cos 58°?

Answers

Answer:

The value of $\theta$ is, 32 degree.

Step-by-step explanation:

Given the equation:

$\sin \theta = \cos 58^(\circ)$

We have to find the value of $\theta$

Using the rule:

$\cos (90-\theta) = \sin \theta$

then;

$\cos (90-\theta) = \cos 58^(\circ)$

Comparing both sides we have;

$90^(\circ)-\theta = 58^(\circ)$

Subtract 90 from both sides we have;

$-\theta = -32^(\circ)$

Simplify:

$\theta = 32^(\circ)$

Therefore, the value of $\theta$ is, 32 degree.

Hope you can see and understand what I wrote

What is the largest factor of 18 that is also a factor of 72

Answers

Factors of 18 are 1, 2, 3, 6, 9 , 18 ;
Factors of 72 are 1, 2, 3, 4, 6, 8, 9 , 12 , 18, 24, 36, 72 ;
The factors that are common to all two numbers are 1, 2, 3, 6, 18 ;
The largest of the common factors is 18, so the Greatest Common Factor of 18 and 72 is 18 .

The Greatest Common Factor for 18 and 72 is 18

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