The answer is b
Hope that helps
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~
Generally what I like to do, to solve questions like this is to substitute the given answers into the equation to solve this faster...
Equation: x^2 + 10x + 12 = 36
A.) (-12)^2 + 10(-12) + 12 = 36
144 - 120 + 12 = 36
24 + 12 = 36
36 = 36
(2)^2 + 10(2) + 12 = 36
4 + 20 + 12 = 36
24 + 12 = 36
36 = 36
Since we found the answer with the first try, we already know the correct answer is A.
So...
The Correct answer is: A.) x=-12 or x=2
Let;
A(-8,6) B(6,6) C(6, -4) D(-8, -4)
Let's find the length AB
x₁= -8 y₁=6 x₂=6 y₂=6
We will use the distance formula;
![d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
![=\sqrt[]{(6+8)^2+(6-6)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B%5D%7B%286%2B8%29%5E2%2B%286-6%29%5E2%7D)
![=\sqrt[]{14^2+0}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B%5D%7B14%5E2%2B0%7D)
Next, we will find the width BC
B(6,6) C(6, -4)
x₁= 6 y₁=6 x₂=6 y₂=-4
substitute into the distance formula;
![d=\sqrt[]{(6-6)^2+(-4-6)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%286-6%29%5E2%2B%28-4-6%29%5E2%7D)
![=\sqrt[]{(-10)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B%5D%7B%28-10%29%5E2%7D)
![=\sqrt[]{100}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B%5D%7B100%7D)
Area = l x w
= 14 x 10
= 140 square units
<span>3x - 2y + 2y > -14 + 2y </span>
<span>3x + 0 > -14 + 2y </span>
<span>3x > -14 + 2y </span>
<span>3x + 14 > -14 + 14 + 2y </span>
<span>3x + 14 > 0 + 2y </span>
<span>3x + 14 > 2y </span>
<span>(3x + 14)/2 > 2y/2 </span>
<span>(3x + 14)/2 > y*(2/2) </span>
<span>(3x + 14)/2 > y*(1) </span>
<span>(3x + 14)/2 > y </span>
<span>y < (3x + 14)/2 </span>
<span>y < 3x/2 + 14/2 </span>
<span>y < 3x/2 + 7 </span>
<span>y < (3/2)*x + 7 </span>
<span>“y” is LESS THAN (3/2)*x + 7 </span>
<span>the slope intercept form of the inequality is: y < (3/2)*x + 7 </span>
<span>STEP 2: Temporarily change the inequality into an equation by replacing the < symbol with an = symbol. </span>
<span>y < (3/2)*x + 7 </span>
<span>y = (3/2)*x + 7 </span>
<span>STEP 3: Prepare the x-y table using the equation from Step 2. </span>
<span>Using the slope intercept form of the equation from Step 2, choose a value for x, and then compute y for at least three points. </span>
<span>Although you could plot the graph with just two sets of x-y coordinates, you should compute at least three different sets of coordinates points to ensure you have not made a mistake. All three x-y coordinates must lie on the same straight line. If they do not, you have made a mistake. </span>
<span>You can choose any value for x. </span>
<span>For example, (arbitrarily) choose x = -2 </span>
<span>If x = -2, </span>
<span>y = (3/2)*x + 7 </span>
<span>y = (3/2)*(-2) + 7 </span>
<span>y = 4 </span>
Answer:
x=2
y = 0
Step-by-step explanation:
3x + y = 6 -------------(i)
5x - 2y = 10 -------------(ii)
Multiply (i) by 2 ===> 6x +2y = 12
(ii) ===> <u> 5x - 2y = 10</u>
add ============> 11x = 22
x = 22/11
x = 2
Substitute x = 2 in (i)
3*2 + y = 6
6 + y = 6
y = 6 - 6
y = 0
