Answer:
Correct answer is:
b) (-5, -3)
Step-by-step explanation:
Given that area of square is <em>36 </em>and one sides lies along the line <em>y = 3</em>
<em>To find:</em>
Possible location of a vertex can be = ? Answer to be chosen from the options:
a) (9, 4)
b) (-5, -3)
c) (6, 5)
d) (3, 6)
<u>Solution:</u>
First of all, let us try to find the side of square.
![Area = Side^2 \\\Rightarrow Side^2 = 36\\\Rightarrow Side = 6](https://tex.z-dn.net/?f=Area%20%3D%20Side%5E2%20%5C%5C%5CRightarrow%20Side%5E2%20%3D%2036%5C%5C%5CRightarrow%20Side%20%3D%206)
Now, given that one side lies on the line y = 3 that means 2 of its coordinates will have their y - coordinates as 3.
Now, we know that all the angles of a square are
.
So, coordinates of adjacent vertices will have a change in only x value or either y value.
Therefore, we can say that The other two coordinates of the square will have the y coordinates the value either 3 + 6 = 9 or 3 -6 = -3
One such possible square is attached in the answer area.
possible location of the one of the vertex is:
<em>b) (-5, -3)</em>
<span>the answer could either be 454 or 9,080
</span>
Answer:
<h2>133.5 cm²</h2>
Step-by-step explanation:
We have
three triangles with the base <em>b = 10cm</em> and the height <em>h₁ = 6cm</em>
one triangle with the base <em>b = 10cm</em> and the height <em>h₂ = 8.7cm</em>.
The formula of an area of a triangle:
![A=\dfrac{b\cdot h}{2}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7Bb%5Ccdot%20h%7D%7B2%7D)
<em>b</em><em> - base</em>
<em>h</em><em> - height</em>
Substitute:
![A_1=\dfrac{(10)(6)}{2}=\dfrac{60}{2}=30\ cm^2](https://tex.z-dn.net/?f=A_1%3D%5Cdfrac%7B%2810%29%286%29%7D%7B2%7D%3D%5Cdfrac%7B60%7D%7B2%7D%3D30%5C%20cm%5E2)
![A_2=\dfrac{(10)(8.7)}{2}=\dfrac{87}{2}=43.5\ cm^2](https://tex.z-dn.net/?f=A_2%3D%5Cdfrac%7B%2810%29%288.7%29%7D%7B2%7D%3D%5Cdfrac%7B87%7D%7B2%7D%3D43.5%5C%20cm%5E2)
![S.A.=3A_1+A_2\\\\S.A.=3(30)+43.5=90+43.5=133.5\ cm^2](https://tex.z-dn.net/?f=S.A.%3D3A_1%2BA_2%5C%5C%5C%5CS.A.%3D3%2830%29%2B43.5%3D90%2B43.5%3D133.5%5C%20cm%5E2)
Answer:
what the product of 2 and 3
5/10 5/9 5/8 they go in this order because as the bottom number gets higher the fraction itself becomes smaller