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3 years ago

A walking path across a park is represented by the equation y = -4x+10. A

Mathematics

1 answer:

ad-work [718]3 years ago

3 0

first invert fraction of the slope from 4/1 to 1/4 and switch sign. then figure out the y-intercept

the algebraic approach would work like this:

-4x + 10 = 1/4x + b

plug in what you got, here: the intersection information

-4*(4) + 10 = 1/4*(4) + b

-16 + 10 = 1 + b

-6 = 1 + b

-7 = b

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Find the area of the shaded region.

kolbaska11 [484]

Answer:

$\boxed{ \tt\longrightarrow \: Area \: Of \: Shaded \: region \: =\boxed{ \tt 39 \: in²}}$

Step-by-step explanation:

Given:

The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)

And,

The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).

To Find:

The Area of Shaded region

Solution:

When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

$\boxed{\tt \longrightarrow Area = (Parallelogram - Rectangle)}$

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

$\tt\longrightarrow \: Area =B×h-l×b$

Put their values accordingly:

$\longrightarrow \tt Area = (12 \times 7 - 9 \times 5)in {}^{2}$

Simplify it.

[Follow BODMAS Rule strictly while simplifying]

$\tt\longrightarrow \: Area = (84 - 45 ) in {}^{2}$

$\tt\longrightarrow \: Area = 39 \: {in}^{2}$

Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

$\rule{225pt}{2pt}$

I hope this helps!

8 0

3 years ago

Read 2 more answers

I need 3-5 ASAP PLEASE

FrozenT [24]

Number four is “ 35, 10 ”

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Dexter was asked to mix the punch for his sister’s birthday party. He has to figure out how much water and pure concentrate to a

Zigmanuir [339]

Answer:

6 liters

Step-by-step explanation:

Let x represent the amount of pure concentrate used to make the punch. Then the total amount of concentrate in the punch is ...

0.20·10 +1.00x = 0.50(10+x)

x +2 = 0.5x +5 . . . . . eliminate parentheses

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6 liters of pure concentrate must be added to make a 50% punch.

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Find the value of x. x + 0.6 = -1 *

kkurt [141]

Step-by-step explanation:

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3 years ago

If y varies directly as x and y=288 when x=16 determine the value of y when x-13

Ray Of Light [21]

Y = kx is the direct variation equation
Substitute the x and y that are given to find k then write your new equation in terms of y with the k.

288 = k(16) divide by 16 to find k
18 = k
Now write the new equation
y = 18x

y = 18(13) or y = 18(-13) I'm not sure by what you have typed if that is supposed to be and equal sign or a negative.
y = 234 OR y = -234

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