Answer:
x=1
Step-by-step explanation:
Steps:
1: Step 1: Subtract 2 from both sides.
4x+2−2=6−2
4x=4
2: Step 2: Divide both sides by 4.
4x4=44x=1
Answer: x=1
Hope this helps.
Answer:
1
Step-by-step explanation:
Given expression:
4x+2=6
Bringing 2 to the other side, it becomes negative..
4x=6-2 = 4
4x=4
again 4 brought to rhs n divided..
x=4/4
x= 1
So the correct option is (a)
Answer:
6
Step-by-step explanation:
No. objects in one set = 7
Let there be n set
Then, No. objects in n set = 7*n = 7n
Given that total no of objects are 48
Thus,
7n = 48
n = 48/7 = (42+6)/7 = 42/7 + 6/7 = 6 + 6/7
n = 6 + 6/7
Thus, there will be 6 set which has 7 objects. fraction means one set is fraction 6/7 but set cannot be in fraction hence negating it.
Now, total objects in 6 sets = 6*7 = 42.
No. of objects left = 48 - 6 = 6
What is the practical domain of the function?
All integers from 2 to 6, inclusive.
{27, 39, 51, 63, 75}
All real numbers.
All real numbers from 2 to 6, inclusive.
Let
x--------> the number of dozen of eggs
f(x)-------> the number of eggs
we know that
The domain of the function is the amount of dozens of eggs that Monica can buy
The domain is the interval------->
All integers from to , inclusive
The range is the interval------->
therefore
the answer is the option
All integers from to , inclusive
Answer:
=64
Step-by-step explanation:
7(3+3+3)+1
=7(6+3)+1
=(7)(9)+1
=63+1
=64
The triangle has height 4.6 mm and its base has length 3.4 mm, so its area is
1/2 • 4.6 mm • 3.4 mm = 7.82 mm²
Answer:
Step-by-step explanation:
The equation for Pablo's order is given as 6T+2D=9 or 6T+2D-9=0
While the equation for Jasmine's order is given as 4T+2D=7 or 4T+2D-7=0
Subtracting Jasmine's equation from Pablo's
6T+2D-9-(4T+2D-7)=0
This gives us
6T+2D-9-4T-2D+7=0
The reduces to
2T-2=0
Dividing all through by 2 gives
T-1=0
Therefore
T=1
Substituting the value for T into any of the equations of either Pablo and Jasmine
Using Pablo's
6T+2D=9
6(1)+2D=9
2D=9-6
2D=3
There D= 3/2
I picked reduction
Answer:To determine if the dashed triangle is a dilation image of the solid triangle with the center at the origin, and whether it is an enlargement or a reduction, we need to compare the corresponding side lengths of the triangles.
Given that the dashed triangle has vertices A'(-8, -12), B'(8, 12), and D'(-4, 16), let's calculate the side lengths of the solid triangle and the dashed triangle.
1. Solid triangle side lengths:
- Side AB: Distance between A(4, 6) and B(-4, -6)
AB = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((-4 - 4)^2 + (-6 - 6)^2)
= sqrt((-8)^2 + (-12)^2)
= sqrt(64 + 144)
= sqrt(208)
2. Dashed triangle side lengths:
- Side A'B': Distance between A'(-8, -12) and B'(8, 12)
A'B' = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((8 - (-8))^2 + (12 - (-12))^2)
= sqrt((16)^2 + (24)^2)
= sqrt(256 + 576)
= sqrt(832)
Comparing the side lengths, we have sqrt(832) for the dashed triangle and sqrt(208) for the solid triangle.
Since sqrt(832) is greater than sqrt(208), this means the dashed triangle is larger than the solid triangle.
Therefore, the dashed triangle is an enlargement.
The correct answer is "enlargement."
Please let me know if there's anything else I can help you with.
Step-by-step explanation: