Answer:
Step-by-step explanation:
(7,6) (-3,-1)
(x1,y1) (x2,y2)
![Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\=\sqrt{(-3-7)^{2}+(-1-6)^{2}}\\\\=\sqrt{(-10)^{2}+(-7)^{2}}\\\\=\sqrt{100+49}=\sqrt{149}\\\\=12.21](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-3-7%29%5E%7B2%7D%2B%28-1-6%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-10%29%5E%7B2%7D%2B%28-7%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B100%2B49%7D%3D%5Csqrt%7B149%7D%5C%5C%5C%5C%3D12.21)
The picture is blank for me. Please take clearer pictures leveled with the question! :)
Answer:
The slope is 6/5 and the y intercept is -13/5
Step-by-step explanation:
6x-5y=13
Solve for y
Subtract 6x from each side
6x-6x-5y=-6x+13
-5y = -6x+13
Divide by -5
-5y/-5 = -6x/-5 +13/-5
y = +6/5x -13/5
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 6/5 and the y intercept is -13/5
Answer:
Incomplete question
Step-by-step explanation:
Answer:
A. No real solution
B. 5 and -1.5
C. 5.5
Step-by-step explanation:
The quadratic formula is:
, with a being the x² term, b being the x term, and c being the constant.
Let's solve for a.
![\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {5^2 - 4\cdot1\cdot11} }}{{2\cdot1}}} \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%2A%7B20%7Dc%7D%20%7B%5Cfrac%7B%7B%205%20%5Cpm%20%5Csqrt%20%7B5%5E2%20-%204%5Ccdot1%5Ccdot11%7D%20%7D%7D%7B%7B2%5Ccdot1%7D%7D%7D%20%5Cend%7Barray%7D)
![\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 44} }}{{2}}} \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%2A%7B20%7Dc%7D%20%7B%5Cfrac%7B%7B%205%20%5Cpm%20%5Csqrt%20%7B25%20-%2044%7D%20%7D%7D%7B%7B2%7D%7D%7D%20%5Cend%7Barray%7D)
![\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {-19} }}{{2}}} \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%2A%7B20%7Dc%7D%20%7B%5Cfrac%7B%7B%205%20%5Cpm%20%5Csqrt%20%7B-19%7D%20%7D%7D%7B%7B2%7D%7D%7D%20%5Cend%7Barray%7D)
We can't take the square root of a negative number, so A has no real solution.
Let's do B now.
![\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {7^2 - 4\cdot-2\cdot15} }}{{2\cdot-2}}} \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%2A%7B20%7Dc%7D%20%7B%5Cfrac%7B%7B%207%20%5Cpm%20%5Csqrt%20%7B7%5E2%20-%204%5Ccdot-2%5Ccdot15%7D%20%7D%7D%7B%7B2%5Ccdot-2%7D%7D%7D%20%5Cend%7Barray%7D)
![\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {49 + 120} }}{{-4}}} \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%2A%7B20%7Dc%7D%20%7B%5Cfrac%7B%7B%207%20%5Cpm%20%5Csqrt%20%7B49%20%2B%20120%7D%20%7D%7D%7B%7B-4%7D%7D%7D%20%5Cend%7Barray%7D)
![\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {169} }}{{-4}}} \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%2A%7B20%7Dc%7D%20%7B%5Cfrac%7B%7B%207%20%5Cpm%20%5Csqrt%20%7B169%7D%20%7D%7D%7B%7B-4%7D%7D%7D%20%5Cend%7Barray%7D)
![\begin{array}{*{20}c} {\frac{{ 7 \pm 13 }}{{-4}}} \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%2A%7B20%7Dc%7D%20%7B%5Cfrac%7B%7B%207%20%5Cpm%2013%20%7D%7D%7B%7B-4%7D%7D%7D%20%5Cend%7Barray%7D)
![\frac{7+13}{4} = 5\\\frac{7-13}{4}=-1.5](https://tex.z-dn.net/?f=%5Cfrac%7B7%2B13%7D%7B4%7D%20%3D%205%5C%5C%5Cfrac%7B7-13%7D%7B4%7D%3D-1.5)
So B has two solutions of 5 and -1.5.
Now to C!
![\begin{array}{*{20}c} {\frac{{ -(-44) \pm \sqrt {-44^2 - 4\cdot4\cdot121} }}{{2\cdot4}}} \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%2A%7B20%7Dc%7D%20%7B%5Cfrac%7B%7B%20-%28-44%29%20%5Cpm%20%5Csqrt%20%7B-44%5E2%20-%204%5Ccdot4%5Ccdot121%7D%20%7D%7D%7B%7B2%5Ccdot4%7D%7D%7D%20%5Cend%7Barray%7D)
![\begin{array}{*{20}c} {\frac{{ 44 \pm \sqrt {1936 - 1936} }}{{8}}} \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%2A%7B20%7Dc%7D%20%7B%5Cfrac%7B%7B%2044%20%5Cpm%20%5Csqrt%20%7B1936%20-%201936%7D%20%7D%7D%7B%7B8%7D%7D%7D%20%5Cend%7Barray%7D)
![\begin{array}{*{20}c} {\frac{{ 44 \pm 0}}{{8}}} \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%2A%7B20%7Dc%7D%20%7B%5Cfrac%7B%7B%2044%20%5Cpm%200%7D%7D%7B%7B8%7D%7D%7D%20%5Cend%7Barray%7D)
![\frac{44}{8} = 5.5](https://tex.z-dn.net/?f=%5Cfrac%7B44%7D%7B8%7D%20%3D%205.5)
So c has one solution: 5.5
Hope this helped (and I'm sorry I'm late!)