Answer:
4.)
a. x= <u>-6</u> y-3
5
b. x= <u>5</u> y + <u>13</u>
4 4
3.)
a. x= <u>-4y</u> + <u>-8</u>
5 5
b. x=<u> 3</u> y+3
2
Step-by-step explanation:
4.)
a. 5x+6y=-15
Add -6y to both sides.
5x+6y+−6y=−15+−6y
5x=−6y−15
Divide both sides by 5.
5x ÷ 5= -6y-15 ÷5
x= <u>-6</u> y-3
5
b. 4x - 5y=13
Add 5y to both sides
4x−5y+5y=13+5y
4x=5y+13
Divide both sides by 4
4x÷4= 5y+13÷4
x= <u>5</u> y + <u>13</u>
4 4
5.)
a. (5x+4y=-8)
Add -4y to both sides
5x+4y+−4y=−8+−4y
5x=−4y−8
Divide both sides by 5
5x÷5= -4y-8÷5
x= <u>-4y</u> + <u>-8</u>
5 5
b. 2x - 3y = 6
Add 3y to both sides.
2x−3y+3y=6+3y
2x=3y+6
Divide both sides by 2.
2x÷2= 3y+6÷2
x=<u> 3y</u>+3
2
Answer:
The smallest model - bottom right - in the question diagram represents ![\sqrt[3]{64}=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%3D4)
.
Step-by-step explanation:
Considering the radical expression
![\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D)
Lets simply this radical expression first
As
![=\sqrt[3]{4^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B4%5E3%7D)
![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a,\:\quad \:a\ge 0](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%2C%5C%3A%5Cquad%20%5C%3Aa%5Cge%200)
![\sqrt[3]{4^3}=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%5E3%7D%3D4)
Therefore,
Now, as we can determine that . So, the smallest model in the question diagram represents as each face of the cube of the smallest model in the diagram - bottom right - has 4 squares.
Therefore, the smallest model - bottom right - in the question diagram represents .
Keywords: square cube root, radical expression
Learn more about radical expression from brainly.com/question/13984232
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Hello from MrBillDoesMath!
Answer:
The fourth choice, b = +\- sqrt( sg + a^2)
Discussion:
s = (b^2 - a^2)/g => multiply both sides by "g"
sg = b^2 - a^2 => add a^2 to both sides
sg + a^2 = b^2 => take the square root of each side
b = +\- sqrt( sg + a^2)
which is the fourth choice.
Thank you,
MrB
Answer:
x = - 1, y = - 1
Step-by-step explanation:
- 6x + 5y = 1 (1)
6x + 4y = - 10 (2)
Add (1) to (2) sides by sides
9y=-9
Dividing both sides by 9
y = -1
Substitute y = -1 into equation (2)
6x + 4(-1) = - 10
6x = -6
x = - 1
Hello there! :)
Given:
x-coordinate of point = -2
y-coordinate of point = 5
Slope, or "m" = 1/5
Substitute in these values into slope-intercept formula (y = mx+b)
5 = 1/5(-2) + b
5 = -2/5 + b
25/5 = -2/5 + b
27/5 = b
Rewrite the equation:
y = 1/5x + 27/5
Graph the equation using a graphing utility:
