Answer:
(1,6)
x = 1, y = 6
See attachment for the graph
Step-by-step explanation:
y=x+5
y=-x+7
Using the elimination process
y=x+5
- y=-x+7
----------------
0=2x-2
2=2x
1=x
x=1
Substitute x = 1
y = x + 5
y = 1 + 5
y = 6
2 is the GCF 3+8k
Hope this answer helps you
Answer:
7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.
Step-by-step explanation:
- Let the number of tomatoes=t
- Let the number of cucumber planted=c
- Let the number of zucchini planted=z
- Total Number of Plants=43
She planted twice as many cucumbers as zucchini, this is written as:
She also planted eight more tomatoes than cucumbers, this is written as:
In total, she planted 43 plants
Therefore:
z+(2z)+(2z+8)=43
5z+8=43
5z=43-8
5z=35
Divide both sides by 5
z=7
Number of Cucumbers, c=2z=2 X 7 =14
Number of Tomatoes, t=c+8=14+8=22
Therefore, she planted 7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first write down the equation we are going to solve.
( 1 / 3 )h - 4 [ ( 2 / 3 )h - 3 ] = ( 2 / 3 )h - 6
To begin with, we will expand the brackets => [ ]
( 1 / 3 )h - ( 8 / 3 )h + 12 = ( 2 / 3 )h - 6
Next we will collect like terms by placing all the individual numbers on the right-side of the equation and the terms with ( h ) on the left-hand side of the equation so that we can begin making ( h ) the subject.
( 1 / 3 )h - ( 8 / 3 )h - ( 2 / 3 )h = - 6 - 12
Then we will simplify both the left-hand side and right-hand side of the equation to solve it for ( h ).
( - 9 / 3 )h = - 18
- 3h = - 18
h = - 18 / - 3
h = 18 / 3
h = 6
FINAL ANSWER:
Therefore, the answer is:
h = 6
Hope this helps! :)
Have a lovely day! <3
Find the perimeter of the polygon with the vertices g(2, 4), h(2,−3), j(−2,−3), g(2, 4), h(2,−3), j(−2,−3), and k(−2, 4)k(−2, 4)
Julli [10]
<span>The distance between g and h is sqrt[(2-2)^2+(4+3)^2]=7
The distance between h and j is sqrt[(2+2)^2+(-3+3)^2]=4
The distance between j and k is sqrt[(-2+2)^2+(-3-4)^2]=7
The distance between k and g is sqrt[(-2-2)^2+(4-4)^2]=4
The perimeter of the polygon is 7+4+7+4=22</span>
