Answer:
43 and 5
Step-by-step explanation:
Let's let the two unknown numbers be a and b.
Their sum is 48, therefore:
And their difference is 38. In other words:
We now have a system of equations. To solve, we can use substitution. First, add b to both sides in the second equation:
Substitute this into the first equation:
Combine like terms:
Subtract 38 from both sides:
Divide both sides by 2:
So, one of the numbers is 5.
The sum of them is 48. Therefore, the other number is 48-5 or 43.
So, our two numbers are 43 and 5.
And we're done!
Step-by-step explanation:
The initial image of the photo is 2 in by 4 in. The mat is 4 in by 6 in.
The new image is dilated by a scale of 2. So we double the dimensions. The new photo is 4 in by 8 in. The new mat is 8 in by 12 in.
Answer:
4 1/2
Step-by-step explanation:
Answer:
D. (y-2) becomes (y-5) and -5 < -2
Step-by-step explanation:
When transforming functions, the following applies:
• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
• Multiplying the function by a number less than 1 compresses it towards the x-axis.
• Multiplying the function by a number greater than 1 stretches it away from the x-axis.
In this situation, the circle is shifted up 3 units and the variable y which controls this is in the function. To move it up you will subtract 3 in the parenthesis for (y-2) so it becomes (y-5). This will move the vertex 3 units higher.
Answer:domain 4 range 6
Step-by-step explanation:
