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3 years ago

$ The sum of twe numbers is 42. Their difference is 16.

Mathematics

1 answer:

tresset_1 [31]3 years ago

3 0

Answer:

x = 29

y = 13

Step-by-step explanation:

Write 2 equations:

x + y = 42

x - y = 16

Isolate x in the first equation:

x = 42 - y

Substitute this in for x in the second equation:

42 - y - y = 16

42 - 2y = 16

solve for y:

-2y = -26

y = 13

Plug in 13 for y in either equation:

x + 13 = 42

Solve for x:

x = 29

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Use I = PRT to solve.

Mice21 [21]

Answer:

Time T = 15 year

Step-by-step explanation:

Given:

Interest I = $270,000

Principal P = $150,000

Rate R = 12% = 0.12

Find:

Time T

Computation:

I = PRT

270,000 = (150,000)(0.12)(T)

270,000 = (18,000)(T)

Time T = 15 year

4 0

3 years ago

Please help ASAP! Find the midpoint between the complex numbers.

Ivenika [448]

$\bf \begin{cases}
z1=9-9i\implies &(9~,~-9)\\
z2=10-9i\implies &(10~,~-9)
\end{cases}$

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& -9~) 
% (c,d)
&&(~ 10 &,& -9~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{10+9}{2}~~,~~\cfrac{-9-9}{2} \right)\implies \left( \cfrac{19}{2}~~~,~~\cfrac{-18}{2} \right)
\\\\\\
\left( \cfrac{19}{2}~~~,~~-9 \right)\implies \left( 9\frac{1}{2}~~~,~~-9 \right)$

3 0

3 years ago

What is the length of the equilateral triangle below?

kykrilka [37]

Answer:

C. 5√3

Step-by-step explanation:

To figure this out, we need to apply the Pythagorean Theorem, a² + b² = c², where c is the "HYPOTENUSE". In this case, c is already found for us [10], so the operation we use whenever the hypotenuse is defined is deduction, or subtraction. Apply the Pythagorean Theorem: a² + 25 = 100; 75 = a². Now, to find a, we need to find two numbers that multiply to 75, where one of them is a PERFECT SQUARE, and in this case, they are 3 and 25. Since the square root of 25 is 5 [in this case, NO NON-NEGATIVE root], that gets moved to the outside of the radical, and 3 [NON-PERFECT SQUARE] stays wrapped under the radical, ending up with 5√3. You understand?

I am joyous to assist you anytime.

4 0

3 years ago

Sketch the graph of each line. 2x-5y=25

ki77a [65]

Well, you transform the standard form equation into slope-intercept form (y=mx+b), since you can only graph it using this form.

First of all, the layout of the equation is $Ax+By=C$

So, in this case, A is 2, B is 5, and C is 25.

Now, to put it into slope intercept form, you either use the formula to change it and solve it:

$y= \frac{-A}{B}x+ \frac{C}{B} \\ y= \frac{-2}{-5}x+ \frac{25}{-5} \\ \\ y= \frac{2}{5}x-5$

Or you can just solve for y:

$2x-5y=25 \\ 2x-5y-2x=25-2x \\ -5y=-2x+25 \\ \frac{-5y}{-5}= \frac{-2x+25}{-5} \\ \\ y= \frac{2}{5}x-5$

In addition, I attached what the graph looks like.

Hope this helps!

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3 years ago

Cristiana uses 25,000 to purchase a cd

Ierofanga [76]

Dollars or cents
what is the question

4 0

3 years ago

Read 2 more answers

$ The sum of twe numbers is 42. Their difference is 16.​

$ The sum of twe numbers is 42. Their difference is 16.