Y = -2
Explanation:
(-7,-2) and (2,-2)
Since both point’s y-coordinate are the same.
Slope:
y = -2
<h3>hello!</h3>
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Here, we have to multiply fractions.
How to Multiply Fractions?
Here are the steps:-
<u />
- Turn any whole numbers into fractions (example:- 3 = 3/1)
- Multiply the numerator of the first fraction times the numerator of the 2nd fraction; same with the denominator.
So let's do it.
Step 1:-
![\longmapsto\sf{3=\displaystyle\frac{3}{1}](https://tex.z-dn.net/?f=%5Clongmapsto%5Csf%7B3%3D%5Cdisplaystyle%5Cfrac%7B3%7D%7B1%7D)
Step 2:-
![\longmapsto\sf{\displaystyle\frac{3}{1} *\frac{7}{10}}](https://tex.z-dn.net/?f=%5Clongmapsto%5Csf%7B%5Cdisplaystyle%5Cfrac%7B3%7D%7B1%7D%20%2A%5Cfrac%7B7%7D%7B10%7D%7D)
![\longmapsto\sf{\displaystyle\frac{21}{10} }](https://tex.z-dn.net/?f=%5Clongmapsto%5Csf%7B%5Cdisplaystyle%5Cfrac%7B21%7D%7B10%7D%20%7D)
We can't simplify this fraction, but there's something else we can do:-
- Convert this improper fraction into a mixed number
Here's the answer:-
![\boxed{\sf{2\displaystyle\frac{1}{10} }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%7B2%5Cdisplaystyle%5Cfrac%7B1%7D%7B10%7D%20%7D%7D)
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<h3>note:-</h3>
Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
*radius is half diameter (or you can say) diameter is double of radius
* diameter is longer than the chord
*the longest chord is diameter
The new diameters of the photograph would be 15 inches by 22.5 inches.
If 1 cm = 1.5 in
Then
10 cm = 15 in
15 cm = 22.5 in
Answer:
![\left(-34, \dfrac{33}{2}\right)](https://tex.z-dn.net/?f=%5Cleft%28-34%2C%20%5Cdfrac%7B33%7D%7B2%7D%5Cright%29)
Step-by-step explanation:
Create a linear equation for line AB and line CD
Find slope using slope formula ![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
then use point-slope form of linear equation ![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
(where m is the slope and
and
are two points on the line)
<u>Line AB</u>
![m=\dfrac{-16+1}{-8+20}=-\dfrac54](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-16%2B1%7D%7B-8%2B20%7D%3D-%5Cdfrac54)
![\implies y+1=-\dfrac54(x+20)\\\\\implies y=-\dfrac54x-26](https://tex.z-dn.net/?f=%5Cimplies%20y%2B1%3D-%5Cdfrac54%28x%2B20%29%5C%5C%5C%5C%5Cimplies%20y%3D-%5Cdfrac54x-26)
<u>Line CD</u>
![m=\dfrac{0+11}{-19+9}=-\dfrac{11}{10}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B0%2B11%7D%7B-19%2B9%7D%3D-%5Cdfrac%7B11%7D%7B10%7D)
![\implies y+11=-\dfrac{11}{10}(x+9)\\\\\implies y=-\dfrac{11}{10}x-\dfrac{209}{10}](https://tex.z-dn.net/?f=%5Cimplies%20y%2B11%3D-%5Cdfrac%7B11%7D%7B10%7D%28x%2B9%29%5C%5C%5C%5C%5Cimplies%20y%3D-%5Cdfrac%7B11%7D%7B10%7Dx-%5Cdfrac%7B209%7D%7B10%7D)
To find the point of intersection, equate the equations and solve for x::
AB = CD
![\implies -\dfrac54x-26=-\dfrac{11}{10}x-\dfrac{209}{10}](https://tex.z-dn.net/?f=%5Cimplies%20-%5Cdfrac54x-26%3D-%5Cdfrac%7B11%7D%7B10%7Dx-%5Cdfrac%7B209%7D%7B10%7D)
![\implies -\dfrac{3}{20}x=\dfrac{51}{10}](https://tex.z-dn.net/?f=%5Cimplies%20-%5Cdfrac%7B3%7D%7B20%7Dx%3D%5Cdfrac%7B51%7D%7B10%7D)
![\implies x=-34](https://tex.z-dn.net/?f=%5Cimplies%20x%3D-34)
Substitute found value of x into one of the equations and solve for y:
![y=-\dfrac54(-34)-26=\dfrac{33}{2}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac54%28-34%29-26%3D%5Cdfrac%7B33%7D%7B2%7D)
Therefore, point of intersection is ![\left(-34, \dfrac{33}{2}\right)](https://tex.z-dn.net/?f=%5Cleft%28-34%2C%20%5Cdfrac%7B33%7D%7B2%7D%5Cright%29)