The greatest common factor of 45 and 10 is 5
The value 5 is the largest factor shared in common between 45 and 10
We can factor each monomial as follows
45c = 5*9c
10d = 5*2d
Which allows us to say
45c + 10d = 5*9c +5*2d
45c + 10d = 5*(9c+2d)
Notice how I used the distributive property in reverse. If we distribute the 5 back in, we get 45c+10d again
Answer: 5(9c+2d)
The answer for this question is right angle
Answer:
Area of triangle is 25.
Step-by-step explanation:
We have been given an isosceles right triangle
Isosceles triangle is the triangle having two sides equal.
Figure is shown in attachment
By Pythagoras theorem
![BC^2=AC^2+AB^2](https://tex.z-dn.net/?f=BC%5E2%3DAC%5E2%2BAB%5E2)
AD is altitude which divides the triangle into two parts
DC=5 implies BC =10 since D equally divides BC
Let AC=a implies AB=a being Isosceles
On substituting the values in the Pythagoras theorem:
![10^2=a^2+a^2](https://tex.z-dn.net/?f=10%5E2%3Da%5E2%2Ba%5E2)
![100=2a^2](https://tex.z-dn.net/?f=100%3D2a%5E2)
![\Rightarrow a^2=50](https://tex.z-dn.net/?f=%5CRightarrow%20a%5E2%3D50)
![\Rightarrow a=\pm5\sqrt{2}](https://tex.z-dn.net/?f=%5CRightarrow%20a%3D%5Cpm5%5Csqrt%7B2%7D)
WE can find area of right triangle by considering height AB and AD
Area of triangle ABC is:
(1)
![\Rightarrow \frac{1}{2}\cdot 10\cdot AD](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%2010%5Ccdot%20AD)
And other method of area of triangle is:
(2)
Equating (1) and (2) we get:
![\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ccdot%2010%5Ccdot%20AD%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20a%5Ccdot%20a)
![\Rightarrow AD=\frac{a^2}{10}](https://tex.z-dn.net/?f=%5CRightarrow%20AD%3D%5Cfrac%7Ba%5E2%7D%7B10%7D)
![\Rightarrow AD=\frac{50}{10}=5](https://tex.z-dn.net/?f=%5CRightarrow%20AD%3D%5Cfrac%7B50%7D%7B10%7D%3D5)
Using area of triangle is: ![\frac{1}{2}\cdot BC\cdot AD](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20BC%5Ccdot%20AD)
Now, the area of triangle ABC=![\frac{1}{2}\cdot 5\cdot 10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ccdot%205%5Ccdot%2010)
![\Rightarrow 25](https://tex.z-dn.net/?f=%5CRightarrow%2025)
Answer:
answer b. y = 3x + 4
Step-by-step explanation:
y = ax + b
with a and b being as follows:
a = slope, which is given as 3.
b = the y–intercept meaning, where the line intercepts the y axis, which is given as 4.
Now you know the answer of the equation of the line, which is answer b. y = 3x + 4