Please use " ^ " to indicate exponentiation: x^2 + 3x - 4 = 0
Here, a = 1, b = 3 and c = -4.
The formula for the discriminant is b^2 - 4(a)(c).
Substituting the given values of a, b and c, we get:
(3)^2 - 4(1)(-4)
Evaluating this, we get 9 + 16 = 25.
The discriminant is 25.
-3 plus or minus √25
Taking this further, x = ------------------------------------
2
-3 plus or minus 5
or: x = -------------------------------- => {-4, 1} (solutions)
2
<h3><u>
Answer:</u></h3>
![\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y = \dfrac{5}{2}x + 5\bigg) \ is \ correct }}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5Cpink%7B%5Cbf%20%5Cleadsto%20Hence%20%5C%20option%5C%20%5Bd%5D%5C%20%5Cbigg%28y%20%3D%20%20%5Cdfrac%7B5%7D%7B2%7Dx%20%2B%205%5Cbigg%29%20%5C%20is%20%5C%20correct%20%20%7D%7D%7D)
<h3>
<u>Step-by-step explanation:</u></h3>
Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

We know that slope is
. So here slope will be ,
Hence the slope is 5/2 . And here value of c will be 5 since it cuts y axis at (5,0).

<h3>
<u>Hence</u><u> </u><u>option</u><u> </u><u>[</u><u> </u><u>d</u><u> </u><u>]</u><u> </u><u>is</u><u> </u><u>corre</u><u>ct</u><u> </u><u>.</u><u> </u></h3>
Answer: 4 terms
Step-by-step explanation:
-4a , 8c, -4b, and 3
Answer:
Equal to
Step-by-step explanation:
The angle of depression from object A to object B is always Equal to the angle of elevation from object B to object A.
It was in the notes in slide 7 in the bottom
Answer:
lw +
× π ×
⇒ Answer D is correct
Step-by-step explanation:
First, let us find the area of the semi-circle.
Area =
× π × r²
<u>Given that,</u>
diameter of the semi-circle is ⇒ <em>l</em>
∴ radius ⇒ <em>l / 2</em>
<u>Let us find it now.</u>
Area =
× π × r²
Area =
× π × 
<u> </u>
Secondly, let us find the area of the rectangle.
Area = length × width
<u>Given that,</u>
length ⇒ <em>l</em>
width ⇒ w
<u>Let us find it now.</u>
Area = length × width
Area = l ×w
Area = lw
<u> </u>
And now let us <u>find the total area.</u>
Total area = Area of the rectangle + Area of the semi - circle
Tota area = lw +
× π × 