Answer:
(1,-1)
Step-by-step explanation:
Answer:
nobody
Step-by-step explanation:
Humans have made use of natural numbers as long as humans have been around. Counting numbers are wired into our consciousness, as they are for many living things.
Research has demonstrated some plants can count up to 5 (generally, carnivorous ones). Honeybees have long been known to be able to count to 4, and recent research shows they can count higher. Fish can count; birds can count; as can many other species.
For most, it takes concentration and/or training to count beyond 4. We are born with an understanding of 1, 2, 3, more.
Nobody "invented" natural numbers.
_____
<em>Additional comment</em>
Prey species survive by being able to count predators. Some predators take advantage of the limitations of number recognition by hunting in groups larger than can be readily counted.
<em>Hexagonal</em> implies that the <em>traffic sign</em> has six straight sides. But <u>dilating</u> it changes its <em>length</em> of sides, but not its angles. So that the <em>statement</em> that is <u>true</u> is option B.
i.e B. The <u>dilated</u> sign will have corresponding line segments that are <em>proportional</em> to those of the pre-image and <u>corresponding</u> angles that are congruent to that of the pre-image.
Dilation involves <u>increasing</u> or <u>decreasing</u> the line segments of a given shape by a <em>scale factor</em>. This process do not affect the measure of the internal <u>angles</u> of the shape.
Given a <u>hexagonal</u> traffic sign in the question, this implies that the traffic sign has six sides. <u>Dilating</u> it by a scale factor of 2.5 about its center would affect its <em>length</em> of sides. So that the <em>statement</em> that is <u>true</u> is option B.
i.e B. The dilated sign will have <u>corresponding</u> line segments that are proportional to those of the pre-image and <em>corresponding</em> angles that are congruent to that of the pre-image.
Visit: brainly.com/question/8285347
Answer:
lol
Step-by-step explanation:
Sure... why not
Oh my goodness ! You were doing such an absolutely beautiful job,
as far as you went, but then you ran into some rough road and quit.
You've got the correct expressions for the ages of the three people:
-- Will . . . w
-- Ben . . . w+3
-- Jan . . . 2(w+3)
You slipped up when you expanded Jan's age: 2(w+3) = <u>2w + 6</u> ,
and it was all down hill from there.
Let's do it again, together:
-- Will . . . w
-- Ben . . . w + 3
-- Jan . . . 2w + 6
Total: (w + w + 2w) + (3 + 6) = 4w + 9
So the equation is: <em><u>4w + 9 = 41</u></em>
Now you're supposed to solve it.
Subtract 9 from each side: 4w = 32
Divide each side by 4: <u>w = 8</u>
-- Will = w . . . . . 8 y.o.
-- Ben = w+3 . . . 11 y.o.
-- Jan = 2(w+3) . . 22 y.o.
When will Jan be twice as old as Will ?
That'll happen in 'x' years.
At that time, Will will be (8+x) and Jan will be (22+x),
and her age will be double Will's age.
22 + x = 2(8 + x)
22 + x = 16 + 2x
Subtract 'x' from each side: 22 = 16 + x
Subtract 16 from each side: <em> 6 = x</em>
<u>Check:</u>
In 6 years, Jan will be (22+6) = 28,
and Will will be (8+6) = 14 .
28 = twice as old as 14. yay!
Can I make a little suggestion ?
I'm going to make it anyway:
Your problem was neatness.
You were doing great work in that big open space on the sheet, but it
started to get ragged. When you tried to look back to see if you made
a mistake, you couldn't find it in the mess.
This is not an easy problem, but you definitely know your stuff.
I think if you keep it a little neater, you're going to sparkle !
