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EleoNora [17]
3 years ago
14

The slope of the line below is -4. Use the coordinates of the labeled point to

Mathematics
1 answer:
Romashka [77]3 years ago
5 0

Answer:

<h2>C. y + 9 = -4(x - 4)</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - point on a line</em>

<em />

We have the slope <em>m = -4</em>, and the point <em>(4, -9)</em>.

Substitute:

y-(-9)=-4(x-4)\\\\y+9=-4(x-4)

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cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto P
Dmitriy789 [7]

Answer:

Step-by-step explanation:

Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB

=> MP là đường trung bình của tam giác DAB => MP//BD và MP=\frac{1}{2}BD  (1)

Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC

=> QN là đường trung bình của tam giác DBC => QN//BD và QN=\frac{1}{2}BD  (2)

Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN

và độ dài MP = độ dài QN = \frac{1}{2}BD

=> vecto MP = vecto QN

Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN

4 0
3 years ago
Show two different ways to factor −4x −28.
vazorg [7]

Step-by-step explanation:

-4x - 28 = -4(x + 7) or 4(-x - 7)

Topic: Algebraic factorization

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8 0
3 years ago
If the endpoints of AB are located at (0,7) and (8,8) what is the length of AB?
Leokris [45]

Answer:

√65

Step-by-step explanation:

The distance formula can be represented as

\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}

Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have

\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}

as our answer

5 0
3 years ago
Question 1: MultiplicationNew designs for a wastewater treatment tank have proposed three possible shapes, four possible sizes,
joja [24]

Answer:

36 possible designs

Step-by-step explanation:

3 x 3 = 9

9 x 4 = 36

5 0
3 years ago
How many 3/8 cups are in 1/2 cup
k0ka [10]

Answer: 1.3333 cups of 3/8 cups

Step-by-step explanation:

1/2 divded by 3/8

4 0
3 years ago
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