The point slope form is
y-y1=m(x-x1)
where
m=slope
and you are given a point (x1,y1)
we are iven that slope=2
and a poin is (3,10)
3=x1
10=y1
y-10=2(x-3)
the answer is
y-10=2(x-3)
Let
x-------> the first number
y------> the second number
we know that


equation 

equation 
substitute equation 1 in equation 2

using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is

Answer:
64 carnations and 16 roses.
Step-by-step explanation:
The events committee buys 80 flowers
The flowers are a combination of carnations and roses.
Each carnation costs $0.50 and each rose costs $2.50
The committee spends a total of $72
<u>Solution:</u>
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Let there be (c) carnations and (r) roses.
So,
c + r = 80 flowers
and $0.50c + $2.50 = $72
This forms a simultaneous equation:
c + r = 80 ... (i)
0.5c + 2.5r = 72 ... (ii)
Multiplying equation (i) by 0.5 and equation (ii) by 1 gives;
0.5c + 0.5r = 40 ... (i)
0.5c + 2.5r = 72 ... (ii)
Subtracting (i) from (ii) gives;
0c + 2r = 32
2r = 32
r = 32 ÷ 2 = 16
Therefore, there are 16 roses
and 80 - 16 = 64 carnations
Answer:
Step-by-step explanation:
Answer:
Some of the Exponents = -2 that is true, not 2.
Step-by-step explanation:
Let's check one at a time.
(a)The 6 without an exponent is equivalent to the 6 having a 0 exponent.
and
= 6 (no exponent. 6
1 therefore this statement is False.
(b)The sum of the exponents is -2.
let's check , if the base is same we can add the exponents that is the exponent rule.(well established).
if we add exponents in the given expression we get.
, therefore we can see that the sum of the exponents = -2 this is true.
(c) An equivalent expression is 65.6-7, lets evaluate our above expression, it is equal to
which we can see that
,therefore this statement is false as well.