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Finger [1]
3 years ago
14

-25 = -4r + 5 please help

Mathematics
2 answers:
Andrej [43]3 years ago
6 0
-25=-4r+5
Subtract 5 to each side
-25-5=-4r+5-5
-30=-4r
Divided -4 to each side
-30/-4=-4r/-4
7.5=r
Check:
-25=-4r+5
Substitute r with 7.5
-25=-4(7.5)+5
-25=-30+5
-25=-25. As a result, r=7.5. Hope it help!
gregori [183]3 years ago
5 0
-4r + 5 = -25
Subtract 5 from both sides.
-4r = -30
Divide both sides by -4.
r = 7.5

I hope this helps!
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What is the equation of the given line in the point slope -form ?
ladessa [460]

Answer:

see below

Step-by-step explanation:

We are given two points (3,4) and (0,1)

so we can find the slope

m = ( y2-y1)/(x2-x1)

    = (1-4)/(0-3)

  = -3/-3

  = 1

The point slope form is

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

y - (4) = 1 (x-3)

y - (4) =  (x-3)

or using the other point

y - 1 = 1( x-0)

y - 1 = x

8 0
3 years ago
An equiangular triangle has one side of length six inches. What is the height of the triangle, drawn from that side, to the near
Mandarinka [93]

9514 1404 393

Answer:

  5.2 in

Step-by-step explanation:

An equiangular triangle is also equilateral. All sides will be 6 inches, and the height line will be a perpendicular bisector of the side.

Using trig, the height is ...

  (3 in)tan(60°) = 3√3 in ≈ 5.2 in

Using the Pythagorean theorem, ...

  h² = 6² -3² = 27

  h = √27 ≈ 5.2 . . . inches

6 0
2 years ago
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
6 0
3 years ago
Helppppppppppppppppppppp!!!!!!!!!1
vitfil [10]

Answer: I need help too

Step-by-step explanation:

I think is -6

6 0
3 years ago
a theater group made appearances in two cities. the hotel charge before tax in the second city was $1000 lower than the first. T
expeople1 [14]
I think it is 500 or 300 I really just guessed sorry
4 0
3 years ago
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