Hey ! there
Answer:
- Area of rectangle is <u>6</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>2</u><u>x</u>
Step-by-step explanation:
In this question we are given with a rectangle having <u>length </u><u>as </u><u>3x</u><u> </u><u>-</u><u> </u><u>1</u><u> </u>and <u>width </u><u>as </u><u>2</u><u>x</u><u> </u><u>.</u>
And we are asked to find the<u> </u><u>area </u><u>of </u><u>rectangle</u><u> </u><u>in </u><u>terms </u><u>of </u><u>x </u><u>.</u>
For finding area of rectangle we need its Formula . So ,
![\qquad \qquad \: \underline{\boxed{\frak{Area_{(Rectangle)} = l \times w }}}](https://tex.z-dn.net/?f=%5Cqquad%20%5Cqquad%20%5C%3A%20%20%20%20%20%20%5Cunderline%7B%5Cboxed%7B%5Cfrak%7BArea_%7B%28Rectangle%29%7D%20%3D%20l%20%5Ctimes%20w%20%7D%7D%7D%20)
<u>Where</u><u> </u><u>,</u>
- l is equal to <u>Length</u><u> of</u><u> rectangle</u>
- w is equal to<u> </u><u>Width</u><u> of</u><u> rectangle</u>
<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>
<u>
</u>
Now by using distributive property , multiplying 2x with 3x and -1 :
![\dashrightarrow \qquad \:2x(3x) + 2x( - 1)](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Cqquad%20%5C%3A2x%283x%29%20%20%2B%20%202x%28%20-%201%29)
![\dashrightarrow \qquad \: \red{\underline{\boxed{\frak{6x {}^{2} - 2x }}}} \quad \bigstar](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Cqquad%20%5C%3A%20%20%20%20%5Cred%7B%5Cunderline%7B%5Cboxed%7B%5Cfrak%7B6x%20%7B%7D%5E%7B2%7D%20%20-%202x%20%7D%7D%7D%7D%20%5Cquad%20%5Cbigstar)
- <u>Henceforth</u><u> </u><u>,</u><u> </u><u>area </u><u>of </u><u>rectangle</u><u> </u><u>is </u><u>6</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>2</u><u>x</u><u> </u><u>.</u>
<u>Note </u><u>:</u> We haven't write the units because in the question no units are given for dimensions.
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
216=x(x+6)
216=x^2+6x
X^2 + 6x - 216
(X+18)(x-12)
So the answers can be -18 or 12, but 12 is the only reasonable solution.
Answer:
Volume = 66 cm³
Step-by-step explanation:
Area of the oblique triangular prism = Area of the triangular base × Vertical height from the base
From the figure attached,
Area of the triangular base = ![\frac{1}{2}(\text{Base})(\text{Height of the right triangle})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BBase%7D%29%28%5Ctext%7BHeight%20of%20the%20right%20triangle%7D%29)
=
= 6 cm²
Vertical height of the given oblique prism = 11 cm
Volume of the given oblique prism = 6 × 11
= 66 cm³
Answer:
1.09
Step-by-step explanation:
<u>Order of operations</u>
<u>(</u>7 + 5) = 12
19 *4 = 76
<u>Simplify</u>
12 + 76 = 88
96/88
<u>Solve</u>
96/88 = 1.09