Answer: C
Step-by-step explanation: The standard equation is Ax + By = C
To solve for this, first solve for the slope: y2 - y1 / x2 - x1
0 - 5 / 4 - 0 = -5 / 4
Plug the slope and ordered pair of (0, 5) into the equation y - y1 = m(x - x1)
y - 5 = -5/4(x - 0)
Add 5 to both sides: y = -5/4x + 5
Subtract y and 5: -5 = -5/4x - y
Multiply the entire equation by 4: -20 = -5x - 4y
(or multiply entire equation by -4 to get 20 = 5x + 4y)
Answer:
Step-by-step explanation:
use the Pythagorean theorem to find the length of the third sides.
c²=a²+b²
c²=7²+3²
=49+9
=58
so, c²=√58
area of the square is 58 units
Answer:
x = -9/4
Step-by-step explanation:
We have:
(x + 9)/x = -3
(x + 9) = -3x
3x + x + 9 = 0
4x + 9 = 0
4x = -9
x = -9/4
let's firstly convert the mixed fractions to improper fractions and then subtract, bearing in mind that the LCD of 4 and 2 is 4.
![\bf \stackrel{mixed}{8\frac{3}{4}}\implies \cfrac{8\cdot 4+3}{8}\implies \stackrel{improper}{\cfrac{35}{4}}~\hfill \stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{35}{4}-\cfrac{15}{2}\implies \stackrel{\textit{using the LCD of 4}}{\cfrac{(1)35~~-~~(2)15}{4}}\implies \cfrac{35-30}{4}\implies \cfrac{5}{4}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B8%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B8%5Ccdot%204%2B3%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B35%7D%7B4%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B7%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B7%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B15%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B35%7D%7B4%7D-%5Ccfrac%7B15%7D%7B2%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%204%7D%7D%7B%5Ccfrac%7B%281%2935~~-~~%282%2915%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B35-30%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B4%7D)
Answer:
the answer is 13
Step-by-step explanation:
