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telo118 [61]
3 years ago
11

Equation through the point (5,9) with a slope of -4

Mathematics
2 answers:
hoa [83]3 years ago
4 0
The answer is: y=-4x+29

To solve this, you need to know the y-intercept. 
1. y=-4x+b
2. 9+-4(5)+b
3. 9=-20+b
4. b=9+20
5. b=29
6. Substitute into y=-4x+b

melomori [17]3 years ago
3 0
Y-9=-4(x-5) Remove the () y-9=-4x+5 Simplify the equation by adding 9 to each side. y=-4x+14 (I used the point slope form and turned it into slope intercept form).
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PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an
sergejj [24]

Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18   where x = the side of the square and y = the side of the triangle

For the areas:

A = x^2 + √3y/2* y/2

A = x^2  + √3y^2/4

From the first equation x = (18 - 3y)/4

So substituting in the area equation:

A = [ (18 - 3y)/4]^2 + √3y^2/4

A = (18 - 3y)^2 / 16 + √3y^2/4

Now for maximum / minimum area the derivative = 0 so we have

A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0

-3/8 (18 - 3y) + √3 y /2 = 0

-27/4 + 9y/8 + √3y /2 = 0

-54 + 9y + 4√3y = 0

y = 54 / 15.93

= 3.39 metres

So x = (18-3(3.39) / 4 = 1.96.

This is a minimum value for x.

So the total length of wire the square  for minimum  total area is 4 * 1.96

= 7.84 m

There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

3 0
3 years ago
Are these triangles similar?
Oxana [17]
Not similar is correct
5 0
2 years ago
Read 2 more answers
Help please quickly
nadezda [96]
0.001 x 425 = .425

answer C. $0.425
3 0
2 years ago
Read 2 more answers
Harry worked 7 hours last week. This is 1__3as many hours as Aidan worked. How many hours did Aidan work?
vitfil [10]

Answer:

21

Step-by-step explanation:

1/3= 0.33

7/0.33

7 0
2 years ago
Help? Fraction? Triangle similarity.<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B62%7D%7B15.5%7D%20x%20%20%5Cfrac%7B92%7D%7Bx%
Over [174]
62 / 15.5  = 92 /  x

to find x cross multiply:-

62x = 15.5 * 92
x =  (15.5*92) / 62
  = 23
8 0
3 years ago
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