No need to fear, thehotdogman93 is here!
The first step is to get rid of those very large numbers. It's going to be very difficult to factor unless we can bring those high numbers down. So lets see if we can factor each term.
So after dividing 49 with every single digit. The only number that divides evenly is 7 and one, and 16 isnt divisible evenly by 7 so that didn't work. Looks like we're gonna have to work with these big numbers.
There is something interesting though about these numbers. 16 and 49 are both perfect squares. 16 is the same as 4^2 and 49 is the same as 7^2. So we can factor the whole trinomial as:
If we were to expand this out as:
and multiply it back into the original form. It would match with the expression we started with. The 4's would multiply back into 16x^2 and the 7's would multiply back into 49.
Additionally 4 * -7 is -28, so you can combine two -28x's into the -56x term in the original trinomial.
Thus, the answer is yes you can, and the answer is:
Answer:
B. 498
Step-by-step explanation:
First, you figure out what 12 x 40 equal: 12 x 40 = 480.
Then, You figure out what 12 x 1.5 equals: 12 x 1.5 = 18.
Finally, you just add the two together: 480 + 18 = 498.
Hope this helps!!!
<span>2(b-5)+3(b-2)=8+7(b-4)
We simplify the equation to the form, which is simple to understand
<span>2(b-5)+3(b-2)=8+7(b-4)
Reorder the terms in parentheses
<span>+(+2b-10)+3*(b-2)=8+7*(b-4)
Remove unnecessary parentheses
<span>+2b-10+3+*(+b-2+)=+8+7+*(+b-4+)
Reorder the terms in parentheses
<span>+2b-10+(+3b-6)=8+7*(b-4)
Remove unnecessary parentheses
<span>+2b-10+3b-6=+8+7+*(+b-4+)
Reorder the terms in parentheses
<span>+2b-10+3b-6=8+(+7b-28)
Remove unnecessary parentheses
<span>+2b-10+3b-6=+8+7b-28
We move all terms containing b to the left and all other terms to the right.
<span>+2b+3b-7b=+8-28+10+6
We simplify left and right side of the equation.
<span><span>-2b=-4
</span>We divide both sides of the equation by -2 to get b.
<span>b=2</span></span></span></span></span></span></span></span></span></span></span>
The area of a triangle is determined by the formula: Base x Height * 1/2
You'll need to assign a base to the triangle. Based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). The distance between any two numbers is found by just subtracting them. Here, you should subtract the x values to find the distance of this side.
2 - (-2) = 4.
So the distance (aka the length of the base) is 4. The height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). We should subtract the y values this time to find the height/distance.
4 - 1 = 3
So the height is 3.
Base = 4
Height = 3
