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2 years ago

Which ordered pairs should be included in the table so that the relation remains a function?

Mathematics

1 answer:

Hitman42 [59]2 years ago

3 0

Answer:

(-1,5)

(-6,-4)

(4,0)

(2,-4)

Step-by-step explanation:

all of the above have unique x-values that don't already exist in the table

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Aiden calculated the area of Triangle QRS finding half the product of 1.5 and 1.1. What error did Aiden make?

Gnom [1K]

Aiden should have calculated
area = (1.1 * 5.4) / 2
because triangle area = half the base times the altitude.

6 0

3 years ago

These triangles are scaled copies of each other.

Mariana [72]

Answer:

a. 4

b. 1/4

c. 16

d. 1/9

e. 4/9

f. 9/16

Step-by-step explanation:

The ratio of the areas is the square of the ratio of the lengths of the sides.

a. Triangles G and F

Select a side in triangle G and the corresponding side in triangle F:

side in F: 10

corresponding side in G: 5

ratio of lengths of F to G = 10/5 = 2

ratio of areas of G to F: (2)^2 = 4

b. Triangles G and B

Select a side in triangle G and the corresponding side in triangle B:

side in G: 5

corresponding side in B: 5/2

ratio of lengths of B to G = (5/2)/5 = 1/2

ratio of areas of B to G: (1/2)^2 = 1/4

c. Triangles B and F

Select a side in triangle B and the corresponding side in triangle F:

side in B: 5/2

corresponding side in F: 10

ratio of lengths of F to B = 10/(5/2) = 4

ratio of areas of F to B: (4)^2 = 16

Do the same for the other 3 pairs of triangles.

The answers are:

d. 1/9

e. 4/9

f. 9/16

3 0

3 years ago

RectangleABCD has vertices at A(– 3, 1),B(– 2, – 1),C(2, 1), andD(1, 3). What is the area, in square units, of this rectangle? A

Anna [14]

Answer:

Option A. $10\ units^{2}$

Step-by-step explanation:

we know that

The area of the rectangle is equal to

A=LW

where

L is the length of rectangle

W is the width of rectangle

we have

$A(-3,1),B(-2,-1),C(2,1),D(1,3)$

Plot the vertices

see the attached figure

L=AD=BC

W=AB=DC

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

<em>Find the distance AD</em>

$A(-3,1),D(1,3)$

substitute in the formula

$AD=\sqrt{(3-1)^{2}+(1+3)^{2}}$

$AD=\sqrt{(2)^{2}+(4)^{2}}$

$AD=\sqrt{20}$

$AD=2\sqrt{5}\ units$

<em>Find the distance AB</em>

$A(-3,1),B(-2,-1)$

substitute in the formula

$AB=\sqrt{(-1-1)^{2}+(-2+3)^{2}}$

$AB=\sqrt{(-2)^{2}+(1)^{2}}$

$AB=\sqrt{5}$

$AB=\sqrt{5}\ units$

Find the area

$A=(2\sqrt{5})*(\sqrt{5})=10\ units^{2}$

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The floor of a round hut has a diameter of 6 meters. What is the floor's area? Use 3.14 for pi.

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Area is 28.26 meters

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3 years ago

Which expression is equal to

Margaret [11]

Answer:

Step-by-step explanation:

6 0

3 years ago

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