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2 years ago

Question 8

Mathematics

1 answer:

Kaylis [27]2 years ago

4 0

The equation that best represents the set-up is (d) 9^2 + x^2 = 16^2

<h3>How to determine the equation?</h3>

The complete question is in the image

The value of x is calculated using the following Pythagoras theorem

16^2 = x^2 + 9^2

Rewrite as:

9^2 + x^2 = 16^2

Hence, the equation that best represents the set-up is (d) 9^2 + x^2 = 16^2

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Find the solutions to the following linear-quadratic systems algebraically. Select the ordered pair that is one of the correct s

Ghella [55]

Answer:

(-2, 6)

Step-by-step explanation:

we have

$y=x^{2} +3x+8$ ----> equation A

$y=2x+10$ ----> equation B

equate equation A and equation B

$x^{2} +3x+8=2x+10$

$x^{2} +3x+8-2x-10=0$

$x^{2} +x-2=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +x-2=0$

$a=1\\b=1\\c=-2$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}$

$x=\frac{-1\pm\sqrt{9}} {2}$

$x=\frac{-1\pm3} {2}$

$x=\frac{-1+3} {2}=1$

$x=\frac{-1-3} {2}=-2$

Find the values of y

For x=1

$y=2(1)+10=12$

For x=-2

$y=2(-2)+10=6$

therefore

The solutions are (1,12) and (-2,6)

3 0

3 years ago

4) When Php 20.247 is rounded to the nearest hundredths, it becomes A, Php 20.24 B. Php 20.25 C. Php 20.247 D. Php 20.248

gayaneshka [121]

When Php 20.247 is rounded to the nearest hundredths, the value that will be gotten is Php. 20.25.

It should be noted that the 2 after the decimal is the tenth place, 4 is in the hundredth place and 7 is in the thousandth place.

Therefore, when Php 20.247 is rounded to the nearest hundredths, we'll add 1 to 4 since the thousandths place is above 5. Therefore, the new number is Php. 20.25.

Read related link on:

brainly.com/question/15179003

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3 years ago

2.36 as a fraction simplest form

tatyana61 [14]

2.36=2 36/100 turn into a fraction
2 36/100= 2 9/25 simplify (I divided by 4)
check if you can simplify again, if you can then do it, if you cant then thats your answer
So, the answer is 2 9/25

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4 years ago

Т<br> -2 ><br> - 7<br> 6<br> what’s the solution??

FromTheMoon [43]

Answer:

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Step-by-step explanation:

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What is DC if AC = 10 cm, BC = 6 cm, and EC = 12 cm? using the options below

NNADVOKAT [17]

The answer is A. Or 5 cm.

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