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ELEN [110]
3 years ago
8

The base of a triangle exceeds the height by 6 cm if the area is 260 cm² find the length of the base and the height of the trian

gle?
Mathematics
1 answer:
N76 [4]3 years ago
7 0
Let \: the \: base \: be \: x, \: the \: height \: would \: be: \:x-6\\The \: area \: is: \:

\frac{x(x - 6)}{2} = 260 \\ {x}^{2} - 6x = 520 \\ {x}^{2} - 6x - 520 = 0 \\ (x + 20)(x - 26) = 0 \\x = 26
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Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),
svp [43]

Step-by-step explanation:

As

  • The graph of the function passes through the point (2,1), and
  • y increases by 4 when x increases by 1.

so

x             y

2             1

3             5

4             9

5             13

6             17

and so on

From the table:

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)

m=\frac{5-1}{3-2}

m=4

As the slope-intercept form of the line is

y=mx+b

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

1=\left(4\right)2+b

8+b=1

8+b-8=1-8

b=-7

So putting b=-7 and m=4  in the slope-intercept form of the line

y=\left(4\right)x+\left(-7\right)

y=4x-7

Therefore, the equation for the linear function will be:

y=4x-7

8 0
2 years ago
Which of the following equations is equivalent to b' = x?
vivado [14]

Answer:

It is A

Step-by-step explanation:

8 0
3 years ago
How many ninths does it take to make the same amount as 1/3
IgorLugansk [536]
3.
ninths=1/9
1/3 is equal to 3/9.
so (1/9)*3 = 3/9
8 0
3 years ago
Read 2 more answers
a man bought a motor at 400,000 Kenyan shillings in January 1999 it depreciated at a rate of 16% per annum if he value it six mo
Alexxx [7]

The value of the car is January 2003 is  $199,148.54.

<h3>What is the value of the car?</h3>

Depreciation is the rate of decline in the value of an asset with the passage of time.

The exponential equation that can be used to determine the value of the car is:

Value of the car = purchase value(1 - rate of decline)^time

400,000 x (1 - 0.16)^(2003 - 1999)

400,000 x (0.84^4) = $199,148.54

To learn more about depreciation, please check: brainly.com/question/15085226

#SPJ1

8 0
1 year ago
Which function does the graph represent? What is the asymptote of the function?
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Answer:

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