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34kurt
3 years ago
13

What is the definition of a vertex​

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0
A vertex is a point where two lines or rays meet
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Jake made a total of 7 copies at a copy shop, with some being black-and-white copies and some being color copies. Black-and-whit
Arada [10]
Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents

70 = 8b + 15c

he made a total of 7 copies
b + c = 7

system of equation:
70 = 8b + 15c
b + c = 7

--------------------------

b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c

plug in 7 - c for b

70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)

70 = 56 - 8c + 15c
Simplify like terms

70 = 56 - 8c + 15c
70 = 56 + 7c

Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides

70 (-56) = 56 (-56) + 7c
14 = 7c

divide 7 from both sides to isolate the c

14 = 7c
14/7 = 7c/7
 c = 14/7
 c = 2

c = 2
---------------

Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5

Jake made 5 black-and-white copies, and 2 color copies

hope this helps
8 0
4 years ago
Read 2 more answers
A line passes through the points (3, −1) and (−5, 3) . What is the point-slope form of the line
aleksandrvk [35]
Hello here is a solution:
equation for the line is :   y = ax+b    a : slope
let A(3;-1)   B(-5;3)
a= ((3)-(-1))/(-5)-(3))
a= 4/-8
a=-1/2
y=(-1/2) x+b
- 1 = (-1/2)(3)+b
b= 1/2
the equatdion is : y=(-1/2)x+1/2
8 0
3 years ago
Do the two lines remain parallel as they are rotated about the center point? Why or why not?​
hichkok12 [17]

Answer:

yes

Step-by-step explanation:

if you follow the lines at the same time they stay doing the same thing

8 0
3 years ago
The formula for the area of a triangle is A = one-half b h. Which is the equivalent equation solved for h? StartFraction 2 A Ove
tensa zangetsu [6.8K]

Answer:

StartFraction 2 A Over b EndFraction = h

Step-by-step explanation:

A =  \frac{1}{2}  \times b \times h \\  \\ 2A =  b \times h \\  \\  \huge \red{ \boxed{h =  \frac{2A}{b}}}  \\

5 0
4 years ago
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What is 4 1/2÷(−2 2/3)?
Illusion [34]

Answer:

-1.6875

Step-by-step explanation:

8 0
3 years ago
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