Answer:
As the number is a prime number. Therefore, option 'c' is true.
Step-by-step explanation:
Let us take the number 7 and divide it by 4

We know that
as

so the remainder is 3. ∵ 
As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.
Thus, the number is a prime number. Therefore, option 'c' is true.
The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).
<h3>What is the parabola?</h3>
It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
The function f(x) = 5x² + 40x
Then add and subtract 80, then we have
f(x) = 5x² + 40x + 80 – 80
f(x) = 5(x² + 8x + 16) – 80
f(x) = 5(x + 4)² – 80
The vertex of the parabola will be at (–4, –80).
More about the parabola link is given below.
brainly.com/question/8495504
Answer:
4(2x+7) which is equal to 8x+28
Answer:
height of vertical post = 6ft
its shadow = 20 in
For all shadows cast at the same time, the ratio of the height of a shadow-casting structure to the length of its shadow is the same. (Assuming, of course, that it's the sun casting the shadows.)
So the ratio is
4 feet / 12 inches = 4 feet / 1 foot = 4/1 = 4,
and if h is the height of the cell tower,
h/122 feet = 4
h = 4 x 122 feet = 488 feet. <---------------- Final answer
Hope I helped,
-Adrian Velez
Step-by-step explanation: