Answer:
y = −1.4x + 7
Step-by-step explanation:
There are 3 steps to find the Equation of the Straight Line
1. Find the slope of the line
2. Put the slope and one point into the "Point-Slope Formula"
3. Simplify
Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.
<h3>
Inscribing a square</h3>
The steps involved in inscribing a square in a circle include;
- A diameter of the circle is drawn.
- A perpendicular bisector of the diameter is drawn using the method described as the perpendicular of the line sector. Also known as the diameter of the circle.
- The resulting four points on the circle are the vertices of the inscribed square.
Alicia deductions were;
Draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle
Benjamin's deductions;
The diameters must be perpendicular to each other. Then connect the points, in order, around the circle
Caleb's deduction;
No need to draw the second diameter. A triangle when inscribed in a semicircle is a right triangle, forms semicircles, one in each semicircle. Together the two triangles will make a square.
It can be concluded from their different postulations that Benjamin is correct because the diameter must be perpendicular to each other and the points connected around the circle to form a square.
Thus, Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.
Learn more about an inscribed square here:
brainly.com/question/2458205
#SPJ1
Answer:
The number of nickel's coin is 150
The number of dime's coin is 35
The number of quarter's coin is 75
Step-by-step explanation:
Let
x ----> the number of nickel's coin
y ---> the number of dime's coin
z ---> the number of quarter's coin
Remember that



we know that
----> equation A
----> equation B
----> equation C
substitute equation C in equation A and equation B
---> equation A1

-----> equation B1
Solve the system of equations A1 and B1 by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (75,35)
see the attached figure
so
z=75, y=35
<em>Find the value of x</em>

therefore
The number of nickel's coin is 150
The number of dime's coin is 35
The number of quarter's coin is 75
Answer:
14/24 ( simplified = 7/12)
Step-by-step explanation:
to find this we multiply the fractions 2/3 and 7/8
7/8 x 2/3 = 14/24
So Shannon ate 14/24 lb
You can simplify to = 7/12