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2 years ago

In these pictures, you have to find the area

Mathematics

1 answer:

Leto [7]2 years ago

8 0

Is it the area of the whole figure or the shaded part

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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

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

Find the distance AD

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

substitute in the formula

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

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

$AD=\sqrt{20}$

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

Find the distance AB

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

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

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

4 0

2 years ago

Given the three functions: f(x) = 60x + 20; g(x)=3(2)^ + and h(x) = 4x ^ 2 + 10x 5. Label each function as quadratic , linear, o

Butoxors [25]

Answer:

Number one is Linear, Number two is Exponential, and Number three is quadratic

Step-by-step explanation:

8 0

3 years ago

Please help!! if you can explain if not that is fine.

Scorpion4ik [409]

Answer:

The graph of y > 3x − 4 has shading above a dashed line.

The graphs of the inequalities will intersect.

6 0

2 years ago

A circular racetrack has a diameter of 1/2 mile. How far does a car travel in one lap around the track? Round to the nearest ten

dlinn [17]

Given:
Circular racetrack with a diameter of 1/2 mile

Find: how far does a car travel in one lap around the track?

We need to find the circumference of the racetrack.

Circumference is multiplying pi to the diameter of the racetrack.

Circumference = 3.14 * 1/2 mile
Circumference = 3.14/2 mile
Circumference = 1.57 miles rounded to the nearest tenth is 1.60 miles.

7 0

2 years ago

Rama09 [41]

Answer:

the answer to the problem is 4,15,8,3

8 0

2 years ago