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Alex777 [14]
3 years ago
6

Find the base and height of a rectangle with vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1). The height is units. The base is u

nits.

Mathematics
2 answers:
julia-pushkina [17]3 years ago
8 0

Answer: The base is 2 units and the height is 6 units.

Step-by-step explanation:

You can plot the points  (-4, 7), (-2, 7), (-2, 1), and (-4, 1) and obtain the rectangle shown in the figure attached.

As you can see in the figure, the distance between the points of the base is:

d=\sqrt{(-2-(-4))^2+(1-1)^2}\\d=2

Then the lenght of the base is 2 units

The distance between the points of the height is:

 d=\sqrt{(-2-(-2))^2+(1-7)^2}\\d=6

Then the height is 6 units

vovikov84 [41]3 years ago
6 0

ANSWER

The height is 6 units.

The base is 2 units.

EXPLANATION

The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).

To find the height of the rectangle, we use the points (-2,7) and (-2,1) or

(-4,7) and (-4,1) because they form the vertical side of the rectangle.

The height is

|7-1|=6 units

To find the base, use the points (-2,7) and (-4,7) or (-2,1) and (-4,1).

The base is

|-2--4|=2 units

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dem82 [27]

Step-by-step explanation:

When the slope of the function is positive, it is increasing

when the slope of the function is negative, it is decreasing

just like with the line function  y = mx + b

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also beware where the slope is zero  it is not increasing or decreasing

there are two intervals of increasing, one interval of decreasing and two point of zero slope or neither increasing or decreasing

increasing interval  1)  x < -2     2) x > 1.5

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5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20log_%7B10%7D%20%5C%3A%20x%3D%204" id="TexFormula1" title=" log_{10} \: x= 4" alt=" log_{10}
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Answer:

log_{10}(x )  = 4

the property of Logarithms,

log_a(x)= y \\ \implies x=a^y

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7 0
3 years ago
Graph h(x)=−|x+2|+4.
Karo-lina-s [1.5K]

The graph is in the attached image.

3 0
2 years ago
What is bigger 1 yard or 35 inches
Nikolay [14]
1 Yard is bigger than 35 inches
4 0
3 years ago
Read 2 more answers
Help me please!!
Paha777 [63]

Answer:

y = -4.174    (aprox)

x = 9.435    (aprox)

Step-by-step explanation:

-2x - 5y = 2        Eq. 1

x = -47 + 9y        Eq. 2

substituying the  Eq. 2 in the Eq. 1:

-2(-47+9y)  - 5y = 2

(-2*-47 -2*9y) - 5y = 2

-94 -18y - 5y = 2

-23y = 2 + 94

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y = 96/-23

y = -4.174      (aprox)

from the Eq. 2

x = -47 + 9y

x = 47 + 9*-4.174

x = 47 - 37.565

x = 9.435      (aprox)

Check:

from the Eq. 1

-2x - 5y = 2

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2 years ago
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