PART A:
The table of h(t) and g(t) for the value of x between 4 and 7 inclusive are shown below.
The solution for h(x)=g(x) lies between x = 4 and x = 5, this is becuase the range of value given by h(4) and h(5) and g(4) and g(5).
The graph is shown in picture 2 to confirm this. The two functions intersect each other between x = 4 and x = 5
PART B:
The point of intersection is the point where the cannon balls will collide.
<u><em>Answer:</em></u>
There are 7 zeroes in the standard form of 10⁷
The number is: 10,000,000
<u><em>Explanation:</em></u>
<u>A power</u> represents how many times this number is multiplied by itself
<u>For example:</u>
x² means we will multiply x by itself 2 times (x * x)
x⁵ means we will multiply x by itself 5 times (x * x * x * x * x)
<u>The standard form</u> of a number means the number written with no powers
Now, the given number is 10⁷
<u>This means that:</u>
The number is 10 multiplied by itself 7 times
10⁷ = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10000000 .........> standard form
We can observe that it has 7 zeroes
Hope this helps :)
Solution:
As, You have Written Polygon ABCD is a rectangle.
It is a Four sided Polygon , having all it's interior angles equal to 90°.As well as Opposite sides are equal(AB=CD,AD=BC), equal diagonals(AC=B D).
Join any of the diagonal of Rectangle either AC or B D.
In Right Δ ABC , Right angled at B
---(1)
In Right Δ ADC , Right angled at D
---(2)
Adding (1) and (2) that is LHS to LHS and RHS to RHS
Ar( Δ ABC) +Ar( Δ ADC)![=\frac{1}{2}\times[ AB \times BC+ AD \times DC]\\\\=\frac{1}{2}[2 \times AB \times BC][\text{As, AB=CD, and BC=AD}]\\\\ = AB \times BC](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5B%20AB%20%5Ctimes%20BC%2B%20AD%20%5Ctimes%20DC%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D%5B2%20%5Ctimes%20AB%20%5Ctimes%20BC%5D%5B%5Ctext%7BAs%2C%20AB%3DCD%2C%20and%20BC%3DAD%7D%5D%5C%5C%5C%5C%20%3D%20AB%20%5Ctimes%20BC)
So, Area of Rectangle= Product of any two Adjacent Sides
Being able to write fractions in simplest form can make operations much easier. Also, to compare fractions, some may have to be in the simplest form.
Answer:
could u show me a picture of the assigment
Step-by-step explanation: