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DaniilM [7]
4 years ago
9

DBE is obtained by enlarging ABC. If the area of ABC is 3 square units, what is the area of DBE?

Mathematics
1 answer:
Amanda [17]4 years ago
8 0

Answer:

The area of DBE = 27 square units

Step-by-step explanation:

Area of ABC = 3 square units

In the figure, we can see that ABC was enlarged so that BDE is formed where side BD = 6 and AB was = 2

Hence ABC was enlarged 3 times its size.

We know by formula that:

Area of ABC = 1/2(base x perpendicular)

3 = 1/2(2 x p)

=> p = 3

As ABC was enlarged 3 times its size, the perpendicular of BDE must be 3*p

= 3*3 = 9

AREA OF DBE = 1/2(base*perp)

= 1/2(6*9)

= 27 square units

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A rectangle length was 4 feet longer than triple the length of it width
wlad13 [49]
Length is 48 ft

The perimeter of a rectangle is equal to the sum of all side’s.
2(lengths)+2(widths)= perimeter
Length=3x+4
Now given the perimeter of 140
3(3x+4)+3(x)=140
9x+12+3x=140
12x+12=140
12x=128
X= 10.7
10.7 is the width

Length=3x+4
Length =3(10.6)+4
Length=31.8+4
Length=35.8
Answer = 35.8
This can only be answered if you were given a perimeter.
4 0
4 years ago
How do you find the selling price for a video game that cost $16 to make and is then marked up 400%?
lisabon 2012 [21]

Answer:

80

Step-by-step explanation:

First find the markup

markup = 16 * 400%

              = 16*4.00

              = 64

Add the markup to the original price

new price = original price + markup

                 =16+64

                  =80

6 0
3 years ago
What is the equation of the line shown in the graph? (-3,1) (2,-4)
ki77a [65]

Answer:

x + y = -2

Step-by-step explanation:

The two primary equations to remember when dealing with graphing 2-variable equations are: ax + by = c (a & b are the x & y coefficients, respectively), and the other is y = mx + c (m = slope, x & y represent themselves). There is another equation to find the slope. If not already known, it's: ∆y/∆x {∆(aka Delta) = difference}. So, since that's all been established, we can proceed to calculate your question:

1) Find your slope: 1 - (-4) = 5 for your y-variable. And -3 - 2 = -5 for your x-variable. So your slope = 5/-5 = -1

2) Use the y = mx + c equation together with either set of (x,y) coordinates to get the equation 1 = (-1)(-3) + c. Which gives you c = -2

3) So, going back to the main equation to remember, the ax + by = c, use a one of your given sets of x,y coordinates and input your known values for x, y, & c to get: a(-3) + b(1) = (-2) and do the same with other set (these are just double-checks, coefficients are all equal to 1 anyways). So, you should arrive to the equation: x + y = -2

4 0
3 years ago
Find the equation of the line passing through the points (5,21) and (-5,-29)
Assoli18 [71]

Answer:

Look below

Step-by-step explanation:

lets have -29 be y2 and -5 be x2

21 - (-)29

5 - (-)5

Subtracting a negative is just adding it so

21 + 29   50
5 + 5       10

50/10

this simplified, is 5/1 or 5

y=5x+b

now we need to find b, so we substitute  y and y

x = 5

y = 21

21=5*5=b

5*5 is 25

now we need to get to 21


25 -4 is 21

b = -4

y=5x-4

3 0
2 years ago
What are the potential solutions of In(x2 - 25) = 0?
Paha777 [63]

Answer:

x=\pm\sqrt{26}

Step-by-step explanation:

ln(x^2-25)=0

e^{ln(x^2-25)}=e^0

x^2-25=1

x^2=26

x=\pm\sqrt{26}

7 0
3 years ago
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