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masya89 [10]
3 years ago
12

Write a slope intercept equation for line with the given characteristics m=-3/5 passes through (4,-4)

Mathematics
1 answer:
Ber [7]3 years ago
3 0

Step-by-step explanation:

Hey there!

Given;

Slope (m) = -3/5

And passes through the point(4,-4).

Now; The equation of a line in slope intercept form is y= mx+b.

So, try to bring it in y= mx+b form.

Firstly let's use one-point formula.

(y - y1) = m(x - x1)

Now, keep all values.

(y + 4) =  \frac{ - 3}{5} (x - 4)

Now, simplify to get answer.

5(y + 4) =  - 3(x - 4)

5y + 20 =  - 3x + 12

5y =  - 3x + 12 - 20

5y =  - 3x - 8

y =  \frac{ - 3}{5} x -  \frac{8}{5}

Therefore the equation is y = -3/5x - 8/5.

<em><u>Hop</u></em><em><u>e</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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Inga [223]

Answer:

x\leq 25\\y\geq 10\\.50x + y\geq 30

Step-by-step explanation:

It is given that,

Amy wants to sell at most 25 cookies ,

Let number of cookies be 'x' , then x should be less than or equal to 25

Which is represented by  x\leq 25 ,

Further,

Let number of sprites be 'y', then 'y' should be greater than or equal to  10

Which is represented by y\geq 10

Also,

Given,

she profits $.50 on every cookie

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So total profit on selling cookies would be

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=.5x

Similarly, total profit on selling sprites would be

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Now, combining these two should be greater than or equal to $30

representing this through an equation,

.50x+y\geq 30

Thus the sysytem of equations is given as:

x\leq 25\\y\geq 10\\.50x + y\geq 30

6 0
3 years ago
Which of the above polynomials is a 5th degree trinomial?
diamong [38]
Easy

5th degree means highest power is 5 so must have x^5

trinomial means 3 terms

A. trinomial, highes power is 5, check
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7 0
3 years ago
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Irina18 [472]

Answer:

x = 97.6

Step-by-step explanation:

cos = adjacent over hypotenuse

cos(55)=\frac{56}{x}

* multiply each side by x *

cos(55)*x=xcos(55)\\\frac{56}{x} *x=56\\56=xcos(55)

* divide each side by cos ( 55 ) *

\frac{xcos(55)}{cos(55)} =x\\\frac{56}{cos(55)} =97.63302055

we're left with x = 97.63302055

Our last step is to round to the nearest tenth of a foot

We get that x = 97.6

4 0
3 years ago
A rectangular parcel of land has an area of 6,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o
Drupady [299]

Answer:

50ft by 120ft

Step-by-step explanation:

Area of a rectangle = L × W

6000ft² = L × W

L = 6000/W

When a diagonal line divides a rectangle into 2 right angled triangles, the diagonal line = Hypotenuse of either of the triangle and it is the longest side.

The formula for a right angle triangle =

a² + b² = c²( c = hypotenuse)

We are told in the question that:

A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel

Let us assume the side that the hypotenuse is longer than = Width

Hence, the Diagonal = (W + 10)²

Therefore

L² + W² = (W + 10)²

Since L = 6000/W

W² + (6000/W)² = (W + 10)²

W² + (6000/W)² = (W + 10) (W + 10)

W² + (6000/W)² = W² + 10W + 10W + 100

W² + (6000/W)² = W² + 20W + 100

W² - W² + (6000/W)² = 20W+ 100

6000²/W² = 20W + 100

6000² = W²( 20W + 100)

6000² = 20W³ + 100W²

20W³ + 100W² - 6000² = 0

20W³ + 100W² - 36000000 = 0

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Factorising the quadratic equation,

20(W − 120)(W² + 125W + 15000) = 0

W - 120 = 0

W = 120

Therefore,

W(Width) = 120feet

Since the Width = 120 feet

We can find the length

6000ft² = L × W

L = 6000/W

L = 6000/120

L = 50 feet

The dimensions of the land, correct to the nearest foot is 50ft by 120ft

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ICE Princess25 [194]

Answer:

It’s D. 4

Step-by-step explanation:

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