<span>y − 1 = 4(x + 3)
y - 1 = 4x + 12
y = 4x + 13, slope = 4
parallel lines, slope is the same so slope = 4
</span><span>passes through the point (4, 32)
</span>y = mx+b
b = y - mx
b = 32 - 4(4)
b = 32 - 16
b = 16
equation
y = 4x + 16
Answer:
320 cups of soup
Step-by-step explanation:
Given;
Total number of guests expected T = 800
Proportion of that may order soup p = 2 out of 5 = 2/5
The number of cups he should prepare should be equal to the number of guests that are expected to order soup appetizer.
Number of guests Expected to order soup appetizer n is;
n = proportion × total guest = p × T
Substituting the given values;
n = 2/5 × 800 = 320
Therefore, he should prepare 320 cups of soup.
Answer:
y -5 = (3/4)(x -6)
Step-by-step explanation:
Between the two points, the line has a rise of 6 and a run of 8. Thus, the slope is ...
... m = rise/run = 6/8 = 3/4
The point-slope form of the equation of a line with slope m through point (h, k) is ...
... y - k = m(x - h)
For point B, (h, k) = (6, 5), so filling in the values gives ...
... y - 5 = (3/4)(x - 6)
the answer is c
this is because, first you use the distributive property. Multiply 'y' by the number 3 and you get 3y
then multiply 3 by the number 4.
you get 12
subtract 7 from 12 and you get 5
So, the expression becomes 3y+5
Hope this helped!!
Answer:
(7a^2 + 8b^2 + 5ab) (7a^2 + 8b^2 - 5ab)
Step-by-step explanation:
Dado que ambos términos son cuadrados perfectos, puede factorizar utilizando la fórmula de la diferencia de cuadrados, a^2 - b^ 2 = (a + b) (a - b), donde a = 7a^2 + 8b^2 y b = 5ab.
English: Since both terms are perfect squares you can factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b), where a = 7a^2 + 8b^2 and b = 5ab.
