Answer:
(a + 4)(a + 6)
Step-by-step explanation:
f(a) = a² + 10a + 24
I think you are asking us to factor the quadratic.
1. Multiply the leading coefficient and the constant
1 × 24 = 24
2. Find two numbers that multiply to give 24 and add to give 10.
Possible pairs are 1, 24; 2, 12; 3, 8; 4, 6
Start with the numbers near the end of the list.
By trial and error, you will find that 4 and 6 work:
4 × 6 = 24 and 4 + 6 = 10
3. Rewrite 10a as 4a + 6a
a² +4a + 6a +24
4. Factor by grouping the first two and the last two terms
a(a + 4) + 6(a + 4)
5. Distribute the a + 4
(a + 4)(a + 6)
a² + 10a + 24 = (a + 4)(a + 6)
Answer: 
Step-by-step explanation:
You need to analize all the information given in the exercise.
You know that the actual height of the T-rex on the projector lens is the following:

The height of the projected T-rex is:

Make the conversion from meters to centimeters:

Therefore, the scale factor will be:

Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:

It would be 75 units in length and 18 units in width.
Answer:
One-fifth
Step-by-step explanation:
step 1
Find the distance between the origin and the point B
the formula to calculate the distance between two points is equal to

we have
O (0,0) and B(10, –15)
substitute


step 2
Find the distance between the origin and the point B'
the formula to calculate the distance between two points is equal to

we have
O (0,0) and B'(2,-3)
substitute


step 3
Find the scale factor of the dilation
The scale factor is equal to divide the length of segment OB' by the length of segment OB
so

so
One-fifth
Answer:
17.5
plsss mark brainliestt
Step-by-step explanation:
10÷4=2.5
7×2.5=17.5