Answer:
see explanation
Step-by-step explanation:
consecutive even integers have a difference of 2 between them
for example 2, 4, 6 are 3 consecutive even integers
In general if we let the first integer be k then the next 2 integers are
k + 2 and k + 4
the sum of these equals 4 times the first integer, that is 4k, hence
k + k + 2 + k + 4 = 4k
3k + 6 = 4k ( subtract 3k from both sides )
6 = k
the 3 consecutive integers are
k = 6
k + 2 = 6 + 2 = 8
k + 4 = 6 + 4 = 10
that is 6, 8 and 10
note that sum = 6 + 8 + 10 = 24
and 4 × 6 = 24
confirming the sum of the 3 integers equals 4 times the first integer
Answer:
Y= 3x-7
Step-by-step explanation:
Since the line is parallel , the slope is same i.e. 3 .
now the equation should be y= Mx + b where m is the slope and c is the y-intercept
plugging the value of m=3 and ( 3,2) into the equation
2= 3(3) + c
2= 9+ c
c= -7
hence the equation of the line is y=3x-7
Answer:
(-2, 3)
Step-by-step explanation:
the point B is
B(x,y)
x
AB (A to B) is twice BC ( B to C )
AB is 2 - x. BC is x - (-4)= x + 4
So
2-x=2 (x + 4)
2-x=2x + 8
3x = -6
x = -2
y
(Same logic as above)
AB is -5 -y. BC is u - 7
-5 -y = 2(y - 7)
-5 - y = 2y - 14
3y = 9
y= 3
the point is (-2, 3)
Answer:
<em>m</em> = undef
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (3, 2)
Point (3, -2)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract:
- Simplify: <em>m</em> = undef
Answer: $135
Explanation: To find how much 15 pizzas will cost, first we have to find out how much just one pizza will cost. To do this, you have to divide both the number of pizzas (8) and also the price for those 8 pizzas ($72) by the number of pizzas (8 again). When you do this you get the price of one pizza. Then you multiply the price of one pizza by the amount of pizzas you actually need to find the value for (15). This is a lot to explain but don't lose hope! Let me show you step by step and it'll make more sense.
Step 1) Divide both the amount of pizzas and the cost of that many pizzas
8 ÷ 8 = 1
72 ÷ 8 = 9
This means that one pizza costs 9 dollars.
Step 2) Multiply the cost of one pizza by 15 (the amt of pizzas you need to find the cost for)
15 × 9 = 135
135 is the cost for 15 pizzas. I hope this helps you!
