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maria [59]
2 years ago
13

I need help with question four and the instructions for the equations or just solve the systems of simultaneously equation using

the addition method for the two middle numbers 3 Y and -5 Y we must find the number to multiply the first equation by make the second equation equal to it.
Please help 50 points

Mathematics
1 answer:
Sliva [168]2 years ago
6 0

Answer:

x = 1\2 and y = 0

Step-by-step explanation:

8x + 3y = 4 * 5\3

14x - 5y = 7 * 1

40\3x + 5y = 20\3 -------- 1

14x - 5y = 7 ----------------- 2

add equation 1 and 2

82\3x = 41\3

x = <u>4</u><u>1</u><u> </u> <u>3</u>

3 * 82

x = 1\2

subtitute 1\2 for x in equation 2

14\2 - 5y = 7

7 - 5y = 7

5y = 7 - 7

y = 0\5

y = 0

thus x = 1\2 and y = 0

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Question and choices are in the photo please explain the answer
Natasha_Volkova [10]

Answer:

\text{A) }68\:\mathrm{cm}

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a 90^{\circ}, creating right triangles \triangle TOP and \triangle SOP.

The Pythagorean Theorem states that the following is true for any right triangle:

a^2+b^2=c^2, where c is the hypotenuse, or the longest side, of the triangle

Thus, we have:

10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

  • TP=SP=24
  • TO=SO=10

Thus, the perimeter of the quadrilateral PTOS is equal to 24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}

7 0
3 years ago
Read 2 more answers
An engine cylinder 13.7 cm deep is being bored such that the radius increases by 0.13 mm divided by min. How fast is the volume
zzz [600]

Answer:

Step-by-step explanation:

Given that an engine cylinder 13.7 cm deep is being bored such that the radius increases by 0.13 mm divided by min.

We convert everything in mm for uniformity

We have formula for volume as

V=\pi r^2 h

Given that \frac{dr}{dt} =0.13

h is constant

V= 3.14 (r^2) (13.7)\\\frac{dV}{dt} =6.28 (137) r dr/dt\\= 6.28(137)\frac{ (97)}{2} 0.13

= 6954.67 mm/sec^3

6 0
3 years ago
Calculate the volume<br><br> Please show the steps....
GaryK [48]

Answer:

4,800

Step-by-step explanation: 6 times 5 times 8 times 20=4800 :D

5 0
3 years ago
Read 2 more answers
Compare the two functions in the table. Will the value of function y = 2x eventually exceed the value of function y = x10?
Andrew [12]
First we rewrite the functions:
 y = 2x
 y = x ^ 10
We note that the second function always has values of y greater than the first function. However, there is a value of x for which the first function is greater.
 For x = 1 we have:
 y = 2 (1) = 2
 y = (1) ^ 10 = 1
 We note that:
 2> 1
 Answer: 
 Yes, the value of function y = 2x eventually exceed the value of function y = x ^ 10.
5 0
3 years ago
Read 2 more answers
What is 11.52/128 show your work
grandymaker [24]

Answer:

The answer is

<h2>9/100</h2>

Step-by-step explanation:

11.5/128

First convert the decimal to an improper fraction

That's

11.52 =  \frac{288}{25}

So we have

\frac{288}{25}  \div 128

Change the division sign to multiplication sign and reverse the second number

That's

\frac{288}{25}  \times  \frac{1}{128}

Simplify

\frac{288}{3200}

Divide through by 32

The final answer is

\frac{9}{100}

Hope this helps you

6 0
3 years ago
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