The line has a slope of -6 and a y intercept of 7.
The linear equation is given by:
y = mx + b;
where m is the slope of the line, b is the y intercept, y, x are variables.
The equation of the line passing through the points (6.-29) and (-4,31) is:

Hence the line has a slope of -6 and a y intercept of 7.
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I'll try to explain in the simplest way possible:
Total cost for a single widget: $32 + $44 = $76 for one widget.
So, since we know the cost of one widget is $76, then the price of 350 widgets would be = $76 x 350 = $26,600.
Answer:
35 acres.
Step-by-step explanation:
Proportions:
15. 8 ⇒ 1 acre
553 ⇒ P acres
P = 553*1/15.8
P = 35 acres
Answer:
From largest to smallest: FG, FH, GH
Step-by-step explanation:
Given




Required
Order the sides in descending order
First, we need to solve for x.
Perimeter of FGH is calculated as thus:

Substitute values for FG, GH, FH and Perimeter

Collect Like Terms


Reorder

Divide through by 24


Substitute 4 for x in FG, GH and FH












In order of arrangement in descending order, we have:

There are 52 cards in a deck, half the cards aware red and half the cards are red.
First card being red is 26/52 = 1/2
After the first card is dealt there are 51 cards left and 26 are black so dealing a black card = 26/51
After 2 cards are dealt there are 50 cards left and 25 red ones left. The probability would be 25/50 = 1/2
The probability of all 3 happening = 1/2 x 26/51 x 1/2 = 13/102
Answer: 13/102