Answer:
Step-by-step explanation:
Find the difference between the 2 points.
For example, (8, 9) (5, 3).
Compare the difference between the x's, in this case 8 and 5. The difference is 3. Do the same with the y's, 9 and 3. The difference is 6.
To find the slope, it's y/x. The slope in this situation is 6/3. Simplify. The slope is 2.
To find the y-intercept, insert the slope and one of the 2 points in the beginning into y = mx + b & solve for b.
For example, if we use the ordered pair (5, 3) the equation would look like:
3 = 2(5) + b, Solve for b.
Multiply. 3 = 10 + b
Get b by itself by adding - 10 to both sides.
-7 = b
The y-intercept is -7. So, in this case, the equation is y = 2x - 7.
The answer to the first part is 3 1/2 and the answer to the second question is 2/7
The equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5
<h3>How to determine an equivalent algebraic monomial expression?</h3>
The expression is given as:
(-8a^5b)(3ab^4)
Multiply -8 and 3
So, we have:
(-8a^5b)(3ab^4) = (-24a^5b)(ab^4)
Multiply a^5 and a (a^5 * a = a^6)
So, we have:
(-8a^5b)(3ab^4) = (-24a^6b)(b^4)
Multiply b and b^4
So, we have:
(-8a^5b)(3ab^4) = -24a^6b^5
Hence, the equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5
Read more about expressions at:
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Find all the areas and add them together
Base Rectangle : LxW = 14 x 12 = 168
Bases Triangles (2) 2x (8x12)/2 = 96
2 Lateral rectangles 14x10 =140 (double) = 280
Surface Area = 168 +96 + 280 = 544
Answer: x < 1
Step-by-step explanation:
Step 1: Add 4 to both sides.
-11x - 4 + 4 > -15 + 4
-11x > - 11
Step 2: Divide both sides by -11.
-11x/11 > -11/-11
x < 1
