<h3>What are similar shapes?</h3>
When applying a scale factor, similar shapes are enlarged versions of one another. All of the matching angles and lengths in related shapes are equal and in the same ratio.
Rectangle is also a kind of shape. So, defining similar rectangle two rectangles must have proportional sides in order for them to be identical (form equal ratios) i.e., ratio of the two longer sides should equal the ratio of the two shorter sides.
Steps to find similar rectangle in math:
- Choose the pairs of corresponding sides on each side.
- Determine the sides' ratios.
- Verify that the ratios are identical.
To know more about similar rectangles, follow link:
brainly.com/question/17905285
#SPJ4
All we need is to put this form in the vertex form f(x) = (ax+b)^2 + c
So we have <span>f (x)= 3x^2+12x+11 ....
Let's complete the square (if you aware of it)
</span><span>
f(x)= 3x^2+12x+11 = 3(x^2+4x)+11 = 3(x^2+4x+4-4)+11
=</span><span> 3([x^2+4x+4]-4)+11 = 3[(x+2)^2-4]+11 =3</span><span>(x+2)^2 - 12 +11 = 3</span><span><span>(x+2)^2 -1
so our form would be:

Here is a parabola with vertex of (-2,-1) and with positive </span> slope (concave up)
</span>
I hope that
helps!
Answer:
53.51 years
Step-by-step explanation:
FV = PV e⁽ⁿˣ⁾
FV = Future Value = $5000
PV = Present Value = $1500
n = Interest Rate = 2.25%
x = time in years = ?
e = mathematical constant = 2.7183
So,
5000 = 1500 e⁽⁰°⁰⁰²⁵ˣ⁾
50 / 15 = e⁽⁰°⁰⁰²⁵ˣ⁾
㏑ (3.3333) = 0.0225x ㏑ (2.7183)
1.2040 = 0.0225x
x = 53.51 year
So, If compounded continuously at an APR of 2.25% the amount invested in an account of $1500 will accumulate to $5000 in 53.51 years.
Answer:
b. (-5, 4)
Step-by-step explanation:
edge2020
That means she bought 3 shirts total!