The x-coordinate in the solution of the system of equations y = -2/3x and 4x - 9y = -40 is -4
<h3><u>Solution:</u></h3>
<em><u>Given that system of equations are:</u></em>
------- eqn 1
------ eqn 2
We have to solve the above given system of equations and find the x - coordinate
<em><u>Substitute eqn 1 in eqn 2 and solve for "x"</u></em>
![4x - 9(\frac{-2}{3}x) = -40\\\\4x + \frac{18x}{3} = -40\\\\12x + 18x = -120\\\\30x = -120\\\\x = \frac{-120}{30} = -4](https://tex.z-dn.net/?f=4x%20-%209%28%5Cfrac%7B-2%7D%7B3%7Dx%29%20%3D%20-40%5C%5C%5C%5C4x%20%2B%20%5Cfrac%7B18x%7D%7B3%7D%20%3D%20-40%5C%5C%5C%5C12x%20%2B%2018x%20%3D%20-120%5C%5C%5C%5C30x%20%3D%20-120%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B-120%7D%7B30%7D%20%3D%20-4)
x = -4
Thus the x-coordinate in the solution of the system of equations is -4
Answer:
45 degrees
Step-by-step explanation:
The formula to find the sum of all the interior angles in an "n-gon" (n is a variable that stands for the numbers of sides, ex) 20-gon --> 20 sided polygon) is
.
Let's plug in 100 to find the sum of all the interior angles in a 100-gon.
![180(100-2)](https://tex.z-dn.net/?f=180%28100-2%29)
I would rather distribute than simplify the parentheses and have to multiply 180 by 98.
So:
![18000-360](https://tex.z-dn.net/?f=18000-360)
=
degrees
[REMEMBER, IT WAS NOT GIVEN THAT THIS POLYGON IS REGULAR, SO <u>DO NOT</u> DIVIDE 17640 BY 100]
Now to find the last angle, we can just subtract since we are given the value of 99 of the 100 angles (17595 degrees).
So the last angle is
degrees
B. The equation can become -2(4x-1)=12 by applying the addition property of equality.
Answer: y1= logx/log2 and y2=logx/log12 (B and C)
Step-by-step explanation:
Answer:
4/63
Step-by-step explanation:
Multiple: 2/
5
* 2/
7
= 2 · 2/
5 · 7
= 4/
35
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(4, 35) = 1. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - two fifths multiplied by two sevenths = four thirty-fifths.
Multiple: the result of step No. 1 * 5/
9
= 4/
35
* 5/
9
= 4 · 5/
35 · 9
= 20/
315
= 4 · 5/
63 · 5
= 4/
63
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(20, 315) = 5. In the following intermediate step, cancel by a common factor of 5 gives 4/
63
.
In other words - four thirty-fifths multiplied by five ninths = four sixty-thirds.