Answer:
y-intercept: (0, 12/5) or (0, 2.4)
x-intercept: (12/7, 0) or (1.714, 0)
Step-by-step explanation:
The y-intercept is the point where the graph crosses the y-axis. That means, the point (0, yi). To find yi, we have to substitute x by 0 in the equation.
7x + 5y=12
7*0 + 5y = 12
y = 12/5 = 2.4
y-intercept: (0, 12/5) or (0, 2.4)
The x-intercept is the point where the graph crosses the x-axis. That means, the point (xi, 0). To find xi, we have to substitute y by 0 in the equation.
7x + 5y=12
7x + 5*0 = 12
x = 12/7 = 1.714
x-intercept: (12/7, 0) or (1.714, 0)
Finally, the graph is shown below.
Answer:
3 pencils
Step-by-step explanation:
eraser= 0.25
pencil= 0.75
2(0.25)= cost of erasers
0.5 + p=2.75 (p=pencils)
-0.5 -0,5
p=2.25
divide 2.25 by 0.75
=3
x = 37.5 (or) 
Solution:
Given 
AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x
To find the value of x:
Property of similar triangles:
If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.
Do cross multiplication, we get
Subtract 30x from both sides of the equation.
Divide by 20 on both sides of the equation, we get
x = 37.5 (or)
Hence the value of x is 37.5 or .
Answer:
Step-by-step explanation:
From figure,
In triangle 
![\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]](https://tex.z-dn.net/?f=%5CRightarrow%20%28a%2Bb%29%5E2%3D%28a-b%29%5E2%2B%28O%27%20D%29%5E2%5C%5C%5CRightarrow%20a%5E2%2Bb%5E2%2B2ab-a%5E2-b%5E2%2B2ab%3D%28O%27%20D%29%5E2%5C%5C%5CRightarrow%204ab%3D%28O%27%20D%29%5E2%5C%5C%5CRightarrow%20O%27D%3D2%5Csqrt%7Bab%7D%20%5C%5C%5CRightarrow%20O%27%20D%3D2%5Csqrt%7Bab%7D%3DAB%20%5Cquad%20%5Cquad%20%5B%5Cbecause%20O%27%20DAB%5C%3B%5C%3B%20%5Ctext%7Bis%20a%20rectangle.%7D%5D)
Hence,
