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3 years ago

Question 13

Mathematics

2 answers:

Svetradugi [14.3K]3 years ago

8 0

Answer:

x-3=15

x=18

y+3=12

y=9...........

Nezavi [6.7K]3 years ago

6 0

Answer: y=9

step by step explanations

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Solve the Equation <br> 2x-3=14<br> -x+3y=-6

andriy [413]

Step-by-step explanation:

If you lost "y" in the first equation.

$\underline{+\left\{\begin{array}{ccc}2x-3y=14\\-x+3y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad x=8\\\\\text{Put the value of x to the first equation:}\\\\2(8)-3y=14\\16-3y=14\qquad\text{subtract 16 from both sides}\\-3y=-2\qquad\text{divide both sides by (-3)}\\y=\dfrac{2}{3}\\\boxed{x=8,\ y=\dfrac{2}{3}}$

If first equation is correct.

$2x-3=14\qquad\text{add 3 to both sides}\\2x=17\qquad\text{divide both sides by 2}\\x=8.5\\\\\text{Put the value of x to the second equation:}\\-8.5+3y=-6\qquad\text{add 8.5 to both sides}\\3y=2.5\qquad\text{divide both sides by 3}\\y=\dfrac{2.5}{3}\\y=\dfrac{25}{30}\\y=\dfrac{5}{6}\\\\\boxed{x=8.5,\ y=\dfrac{5}{6}}$

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3 years ago

Find the surface area of the cylinder.

Ronch [10]

Answer:

exact: 48pi cm^2

approximate: 150.8 cm^2

Step-by-step explanation:

SA = 2 * (pi)r^2 + 2(pi)rh

SA = 2 * pi * (3 cm)^2 + 2(pi) * 3 cm * 5 cm

SA = pi(18 cm^2 + 30 cm^2)

SA = 48pi cm^2

SA = 150.8 cm^2

4 0

3 years ago

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Which values of x are solutions to the inequality?

Blababa [14]

Answer:

B. $x=-210$

D. $x=-201$

Step-by-step explanation:

Given:

The inequality for 'x' is given as:

$x$

The above inequality tells us that, the value of the variable 'x' is less than -200.

-200 is a negative number. So, for a negative number, the larger the value of the number, the smaller the number is.

Example: -2 is less than -1 although 2 has a greater magnitude than 1.

Therefore, the numbers that are less than -200 are -210 and -201.

So, the values of 'x' that satisfy the given inequality are -201 and -210

Thus, the correct options are (B) and (D).

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3 years ago

What is special about a 30 60 90 triangle?

Nata [24]

A 30-60-90 triangle is special because of the relationship of its sides. Also <span>It turns out that in a 30-60-90 triangle, you can find the measure of any of the three sides, simply by knowing the measure of at least one side in the triangle.

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3 years ago

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What is the present value of $9,000 paid at the end of each of the next 86 years if the interest rate is 10% per year? the pres

Fittoniya [83]

It will be $900

Hope it helps!

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3 years ago