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ruslelena [56]
2 years ago
14

Determine and state an equation of the line perpendicular to the lines 5x-4y=10 and passing through the point (5,12). in point-s

lope form.
Please help I will mark branilest!!! and give 100 points
Mathematics
1 answer:
sergey [27]2 years ago
8 0
Perpendicular lines have slopes that are negative reciprocals of one another.

slope intercept form (y = mx + b) of the first equation will help us find the slope of the first line: where m = slope

5x-4y=10
-4y=-5x + 10
y=-5/-4 x + 10/-4
y=5/4 x -2.5

if the slope of this line is 5/4 then the slope of the perpendicular line is -4/5.

Therefore with the given information we can state the equation of the second line in point slope form (y-y,) = m(x-x,)

the coordinates of (5,12) can are substituted for x, and y,

so the answer is

(y-12) = -4/5(x-5)

I hope this helped and is BRAINLIEST!

Good luck with your studies!

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The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x²+320 . According to the model, for what
lora16 [44]

Answer:

The minimum cost per unit is obtained for an order of 8 units.

Step-by-step explanation:

Since the total cost is modeled by;

C(x)=5x²+320

Then;

1 unit costs; C(x)=5(1)²+320 = 325

cost per unit 325/1 = 325

8 units costs; C(x)=5(8)²+320 = 640

cost per unit = 640/8 = 80

80 units costs; C(x)=5(80)²+320 = 32320

Cost per unit = 32320/80 = 404

The minimum cost per unit is obtained for an order of 8 units.

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3 years ago
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iren2701 [21]
1,4,2,3 is the order
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3 years ago
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6th grade math help me pleaseeee
Hatshy [7]

Answer

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4 0
3 years ago
Both Derek and Sam are 5 feet 10 inches tall. Derek looks at a 10 foot basketball
dusya [7]

Dereck and Sam are standing 3.1 feet apart.

The situation forms two right angle triangle.

<h3>What is a right angle triangle? </h3>

A right angle triangle is a triangle that has one of its angles as 90 degrees.

Derek looks at a 10 foot basketball goal with an angle of elevation of 29°.

Sam looks at the goal with an angle of elevation of 43°.

Sam is directly in front of Dereck. Therefore,

Dereck distance from the base of the basket ball can be found as follows:

tan 29 = opposite / adjacent

opposite side = 10 ft - 5.83 ft = 4.17 ft

tan 29  = 4.17 / x

x = 4.17 / 0.55430905145

x = 7.52287913948

x = 7.523

Sam distance from the base of the basket ball can be found as follows

tan 43 = 4.17 / y

y = 4.17 / 0.93251508613

y = 4.47177752084

y = 4.471

There feet apart = 7.523 - 4.471 = 3.052  = 3.1 feet

learn more on elevation here:brainly.com/question/24442138?referrer=searchResults

4 0
2 years ago
Help! It’s slope-Intercept form:Write an equation from a table
muminat

Answer:

the answer would be f(x)=-5x+41

Step-by-step explanation:

you start by calculating the change in y (or f(x)) and dividing that by the change in x or y2-y1/x2-x1. the answer you should get is the slope (mx). from there you calculate the y intercept (b) by simply finding when x=0. now you put it all together, y=mx+b or f(x)=-5x+41

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2 years ago
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