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son4ous [18]
3 years ago
10

Solve by looking for x

Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0

The answer is x = 6.

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the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line tha
Aleonysh [2.5K]

Answer:

y = - \frac{4}{5} x + \frac{2}{5}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = \frac{5}{4} x + \frac{3}{4} ← in slope- intercept form

with slope m = \frac{5}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{5}{4} } = - \frac{4}{5} , thus

y = - \frac{4}{5} x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - \frac{12}{5} + c ⇒ c = - 2 + \frac{12}{5} = \frac{2}{5}

y = - \frac{4}{5} x + \frac{2}{5} ← equation of perpendicular line

4 0
2 years ago
the perimeter of the quadrilateral is 49 centimeters. find the length of each side. x+9 , x^2-2x , x+4 , 3x-4
shtirl [24]
X= 5 or -8

Add all the like terms and set it equal to 49, use quadratic formula or factoring. 
3 0
3 years ago
I am a polygon in which all sides are congruent and all angles are congruent
NikAS [45]
The answer is a square because it is a polygon and all sides are congruent and angles too
3 0
3 years ago
Juan wants to change the shape of his vegetable garden from a square to a rectangle, but keep the same area so he can grow the s
irina [24]

The value of x that makes sense in this context is; 32.

The dimensions of the new garden is; 64 by 16.

<h3>How to find the real dimensions of the rectangle?</h3>

The expression that represents the problem statement is;

x² = (2x)(x – 16)

Expanding the bracket gives us;

x² = 2x² – 32x

x² - 32x = 0

x(x - 32) = 0

Thus; x = 0 or x = 32

x can't be 0 and as such the value of x is 32.

Thus;

The length of the new garden is; l = 2x = 64.

The width of the new garden is; w = x - 16 = 32 - 16 = 16

The dimensions of the new garden are therefore; 64 by 16

Read more about Rectangle Dimensions at; brainly.com/question/17297081

#SPJ1

4 0
2 years ago
The foci of an ellipse can be outside the ellipse.<br><br> True or false?
DanielleElmas [232]
False

foci of an ellipse cannot be outside the ellipse
5 0
3 years ago
Read 2 more answers
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