Use the formula SA=a+1/2ps
a=area of the base
p= perimeter of the base
s= slant height
<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>
<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>
<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>
<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>
<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>
<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>
<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>
<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>
<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>
<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>
<span>Or, if you prefer, (3, 0), (-5, 0). </span>
I don't know the answer because of how zoomed in it is. But, you could make a cordinate grid and plot all of the numbers. Then, you would connect all of the lines and you will see that one line is missing in the parallelogram. You finish off that line yourself and write down the cordanite that you needed to complete the parallelogram. You will lastly put U=answer (the cordanite you got from finishing off the parallelogram).
Answer:
Surface area of the given figure = 48 cm^2
Step-by-step explanation:
Surface area is nothing area of all the sides.
We can find the area of each figure add them together.
There are two triangles with the same measures.
One rectangle with measure of 4 by 3.
Another rectangle with the measure of 5 by 3.
One square with the measure of 3.
Surface area = Area of two triangles + rectangle 1 + rectangle 2 + square
Formulas:
Area of the triangle = 1/2 base* height
Area of the rectangle = length * width
Area of the square = side x side
Applying the formula, we get
=2[1/2 (3*4)] + 4*3 + 5*3 + 3^2
= 12 + 12 + 15 + 9
Surface area of the given figure = 48 cm^2
Hope this will helpful.
Thank you.
9514 1404 393
Answer:
the marked choice is the correct one
Step-by-step explanation:
A suitable calculator or web app can reduce this matrix for you.
The solution is represented by the matrix ...
![\left[\begin{array}{ccc|c}1&0&0&1\\0&1&0&-1\\0&0&1&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D1%260%260%261%5C%5C0%261%260%26-1%5C%5C0%260%261%263%5Cend%7Barray%7D%5Cright%5D)
