Question

1. using the coordinate grid below, find the coordinates of the fourth corner of a rectangle having coordinate pairs (2, 3), (4, 3), and (4, 0). write the coordinates.

(____, ____)
6.gm.25 dok 2

1. mr. allen gets 24 miles to the gallon (mpg) in his jeep. on a trip he uses 12 gallons of gas and travels at an average rate of speed of 50 miles per hour. which formula below will find the distance mr. allen traveled?

① $d = (24)(mph)g$
② $d = mpg$
③ $d = (mpg)g$
④ $d = (mpg)(mph)$
6.af.21 dok 2

1. the two expressions that are equivalent to $4(x - 10)$. select all that apply.

① $4x - 5$
② $4x - 40$
③ $(2x - 2) + (2x - 8)$
④ $3(x - 5) + (x - 5)$
⑤ $2(x - 10) + 2(x - 10)$
6.nso.7 dok 3

Explanation:

Problem 4

Step1: Identify rectangle coordinate rules

In a rectangle, opposite sides are equal, so the missing point will share the x-coordinate of (2,3) and the y-coordinate of (4,0).

Step2: Match coordinates

The x-value is 2 (from (2,3)), the y-value is 0 (from (4,0)).

Step1: Recall distance formula for mpg

Distance = miles per gallon × gallons used, or $d = (mpg)g$.

Step2: Eliminate incorrect formulas

Options a, b, d include unnecessary speed or wrong combinations. Only option c fits.

Step1: Expand the original expression

$$4(x-10) = 4x - 40$$

Step2: Check each option

• a. $4x-5

eq 4x-40$

• b. $4x-40 = 4x-40$ (matches)
• c. $(2x-2)+(2x-8)=4x-10

eq 4x-40$

• d. $3(x-5)+(x-5)=4(x-5)=4x-20

eq 4x-40$

• e. $2(x-10)+2(x-10)=4(x-10)=4x-40$ (matches)

Answer:

$(2, 0)$

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Problem 5