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Tema [17]
4 years ago
11

(Number 4)help...plzz

Mathematics
1 answer:
Nimfa-mama [501]4 years ago
5 0
Second answe is the correct answer

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A classmate plotted the following points:
irga5000 [103]

Answer:

D(-1,0)

Step-by-step explanation:

Plot points A(-3, 2), B(-1, 4), and C(1, 2) on the coordinate plane (see attached diagram).

Two sides AB and BC are of equal length and are perpendicular, because

AB=\sqrt{(-3-(-1))^2+(2-4)^2}=\sart{(-2)^2+(-2)^2}=\sqrt{4+4}=2\sqrt{2}\ units\\ \\BC=\sqrt{(-1-1)^2+(4-2)^2}=\sart{(-2)^2+2^2}=\sqrt{4+4}=2\sqrt{2}\ units\\ \\\text{Slope AB}=\dfrac{4-2}{-1-(-3)}=\dfrac{2}{2}=1\\ \\\text{Slope BC}=\dfrac{2-4}{1-(-1)}=\dfrac{-2}{2}=-1\\ \\\text{Slope AB}\cdot \text{Slope BC}=1\cdot (-1)=-1\Rightarrow \text{lines AB and BC are perpendicular}

If the quadrilateral ABCD has all sides perpendicular, then ABCD is a square. The diagonals of the square bisects each other. Find the coordinates of the point of intersection of these diagonals. This is the midpoint of segment AC:

x=\dfrac{-3+1}{2}=-1\\ \\y=\dfrac{2+2}{2}=2

If point O(-1,2) is the point of intersection of diagonals, then it is the midpoint of the diagonal BD. Find coordinates of point D:

x_O=\dfrac{x_B+x_D}{2}\Rightarrow -1=\dfrac{-1+x_D}{2},\ -1+x_D=-2,\ x_D=-1\\ \\y_O=\dfrac{y_B+y_D}{2}\Rightarrow 2=\dfrac{4+y_D}{2}, 4+y_D=4,\ y_D=0

Thus, D(-1,0)

7 0
4 years ago
What is the answer ?
Volgvan

Answer:

12, 2

Step-by-step explanation:

8 0
3 years ago
Use the number line to solve (-1)-(-2)=
Alex787 [66]

Answer:

-1 is the answer , your welcome haha

4 0
3 years ago
From 7 boys and 4 girls, how many different committees can be selected consisting of 3 boys and 2 girls?
olga nikolaevna [1]
There can be 1 or 2 but a total committee in total with boys and girls would be 4
8 0
3 years ago
What is the simplest form of 3x^3 + x^2 + 2 ( x^3 - 4x^2 )
viva [34]

Answer:

−8x^4 + 5x^3 + x^2

Step-by-step explanation:

3x^3  + x^2  + 2 (x^3  − 4x^4)

Apply the distributive property.

3x^3  + x^2  + 2x^3  + 2 (−4x^4)

Multiply −4 by 2.

3x^3 + x^2 + 2x^3 − 8x^4

Simplify by adding terms.

Add 3x^3 and 2x^3.

5x^3 + x^2 − 8x^4

Simplify the expression.

Move x2.

5x^3 − 8x^4 + x^2

Reorder 5x^3 and −8x^4.

−8x^4 + 5x^3 + x^2

4 0
3 years ago
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