33 and one third as a fraction would be either 33 1/3 or 100/3
Answer:
- 6
Step-by-step explanation:
Given
y = 3(x - 1)(x + 2) ← expand factors using FOIL
= 3(x² + x - 2) ← distribute by 3
= 3x² + 3x - 6
To find the y- intercept let x = 0, thus
y = 3(0)² + 3(0) - 6 = 0 + 0 - 6 = - 6
Thus y- intercept = - 6 ⇒ (0, - 6 )
The distributive property states that:
a(b+c)=ab+bc.
or more generally: a(b+c+d)=ab+av+ad.
This is a very useful tool to perform multiplication.
For example, if we want to multiply 7 by 234, we can proceed as follows:
7*234=7(200+30+4)=7*200+7*30+7*4=1400+210+28=1610+28=1638
back to our problem,
4 * 24 = 4(20+4)=4*20+4*4=80+16=96 ($)
So, instead of multiplying 4 by 24, we multiplied 4 by 20 and 4, which is easier, and then added these together.
Answer:
4 * 24 = 4(20+4) [=4*20+4*4=80+16=96 ($)]
Answer:
m = 2/3
y-intercept: 2
Explanation:
First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.
This equation should be in the form: Ax + By = C (Standard form)
y = -Ax/B + C/B : y = mx + b (Slope intercept form)
2(6y - 4x) = 24 → 12y - 8x = 24
→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>
<u>8</u>x <u>- 12</u>y = <u>-24</u>
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A B C
Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.
8x - 12y = -24
-8x -8x
(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)
-12y = -8x - 24
×-1 ×-1 ×-1
(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)
12y = 8x + 24
(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)
Answer:
Step-by-step explanation:
In order to calculate the volume of a triangular prism you need 2 things:
The triangles area and the prism's height.
Any prism's volume can be calculated by multiplying its base area with its height.
The Area of a triangle can be calculated in different ways.
The most used and "normal" way is:
(width * height) / 2
Another way is by using herons formula, which looks like this:
a, b, c = different sides of the triangle (length)
s = (a + b + c) / 2
a = 
When you have the prism's base area (
) you just have to multiply:
(V = volume)
If you have any questions, just ask them in the comments below.
Have a good day! (●'◡'●)
