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Digiron [165]
3 years ago
11

Which of the following statement about the point (5,3 and ( 5,-3) is true?

Mathematics
2 answers:
Fantom [35]3 years ago
6 0

Answer:

A

Step-by-step explanation:

3241004551 [841]3 years ago
5 0

Answer:

I think it's A

Step-by-step explanation:

You might be interested in
The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh
postnew [5]

Answer:

  48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

__

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

  x/y = 8/9

After the changes in weight, they were equal:

  x+2 = y-4

__

<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

  y = x +6 . . . . . . . . . . solve the second equation for y

  x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

  9x = 8(x +6) . . . . . . . multiply by 9(x+6)

  x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

3 0
1 year ago
The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds
boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation h=-16t^2+24t+16, where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation h=-16t^2+24t+16, we get,

0=-16t^2+24t+16

Switch sides, we have,

-16 t^{2}+24 t+16=0

Let us solve the equation using the quadratic formula.

Thus, we have,

t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}

Simplifying, we get,

t=\frac{-24 \pm \sqrt{576+1024}}{-32}

t=\frac{-24 \pm \sqrt{1600}}{-32}

t=\frac{-24 \pm 40}{-32}

Hence, the two values of t are

t=\frac{-24 + 40}{-32}   and   t=\frac{-24 -40}{-32}

Simplifying the values, we get,

t=\frac{16}{-32}  and  t=\frac{-64}{-32}

Dividing, we get,

t=-\frac{1}{2}  and  t=2

Since, t cannot negative values, we have,

t=2

Thus, the rock will hit the ground at 2 seconds.

8 0
3 years ago
Find the first four nonzero terms in a power series expansion about xequals0 for the solution to the given initial value problem
IgorC [24]

Answer:

The first four terms are;

w(x)= 4 + 2x² - ⁵/₆x⁴+ ¹¹/₃₆x⁶ +......

Step-by-step Explanation:

This is the interpretation of the question

w″ + 3xw′ -w=0

W(0)=4

W′(0)=0

CHECK THE ATTACHMENT FOR STEP BY STEP EXPLANATION

7 0
3 years ago
Naysha listens to the radio for five-sixths of an hour each day. which expressions represent the time naysha spends listening to
Yakvenalex [24]

The time Natasha listens to the radio can be represented as 7 times five sixths, 35/6 or 5/6 + 5/6 + 5/6 + 5/6 + 5/6.

<h3>How to find out the time Natasha listens to the radio in one week?</h3>
  • Time per day: 5/6 of an hour
  • Time per week: 5/6 + 5/6 + 5/6 + 5/6 + 5/6 = 35/6

or 5/6 x 7 = 35/6

<h3>How to represent this?</h3>

There are three options:

  • 5/6 + 5/6 + 5/6 + 5/6 + 5/6
  • 35/6
  • 5/6 x 7

Learn more about fractions in: brainly.com/question/10354322

#SPJ1

5 0
2 years ago
12-x=15 <br> What does x equal?
babymother [125]
12-x=15 \\ \\ -x = 15 - 12 \\ \\ -x = 3 \\ \\ x = -3 \\ \\

The final result is: x = -3.
3 0
3 years ago
Read 2 more answers
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