Find AB А. B N M -3. finele ooie 7 35. D 22 uz to с 29

Mathematics

1 answer:

gizmo_the_mogwai [7]1 year ago

7 0

Answer: 15

Step-by-step explanation:

By the trapezoid midsegment theorem,

$\frac{AB+CD}{2}=MN\\\frac{29+AD}{2}=22\\29+AD=44\\AD=15$

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Which of the following equations has a slope of -2 and passes through the point (2,3)?

ryzh [129]

Option C (Same as Option D)

<h2>Explanation:</h2>

Option C and D are the same, so I'll assume you made a mistake when writing this question. However, let's figure out which of the following equations has a slope of -2 and passes through the point (2,3):

A. y = -2x + 6

B. y - 3 = -2(x + 2)

C. y = -2x + 7

<em />

<em>All these equations have a slope of -2.</em>

FROM OPTION A:

$Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3=-2(2)+6 \\ \\ 3=-4+6 \\ \\ 3=2 \ False!$

Since $3\neq 2$ then the line doesn't pass through the point (2, 3)

FROM OPTION B:

$Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3-3=-2((2)+2) \\ \\ 0=-2(4) \\ \\ 0=-8 \ False!$

Since $0\neq -8$ then the line doesn't pass through the point (2, 3)

FROM OPTION C:

$Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3=-2(2)+7 \\ \\ 3=-4+7 \\ \\ 3=3 \ True!$