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Nana76 [90]
3 years ago
15

Write the equation of the line that is perpendicular to the given line and that passes through the given point

Mathematics
1 answer:
Alinara [238K]3 years ago
8 0
Slope-intercepted form:
y=mx+b
In this equation; "m" is the slope of the line.

We have this equation:
-x+5y=14
It´s slope-intercepted form would be:
-x+5y=14
5y=x+14
y=1/5 x+14/5  (slope-intercepted form)

And the slope in this line is: m=1/5

A line perpendicular to this line will be the next slope:
m`=-1/m; 
m´=-1/(1/5)=-5

Point-slope form:we need a point (x₀,y₀) and the slope:
y-y₀=m(x-x₀)
We have a point (-5,-2) and the slope, m=-5
y+2=-5(x+5)
y+2=-5x-25
y=-5x-25-2
y=-5x-27  (slope-intercepted form)

Answer: the equation would be y=-5x-27

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Ostrovityanka [42]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Two of the vertices of a rectangle are (6,1) and (7,1) . IF the rectangle has a perimeter of 18 units, then what are the coordin
fenix001 [56]

Answer:

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Step-by-step explanation:

Given: Two of the vertices of a rectangle are (6,1) and (7,1)

Perimeter= 18 units

To get the value of "x"

The distance between Two point can be calculated as (6-7)=-1

Then x= -1

We can get the value of "y" by using expression for perimeter,

The perimeter P= 2x+2y=18

= 2(-1)+2y= 18

-2+2y=18

2y=18+2

2y= 20

y=10

The "y" coordinate can move up or can move down

y1=( 1-10)=-9

Or

y2=( 1+10)=11

Hence, the two other points are;

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

3 0
3 years ago
Pleasse and thank u <33
liubo4ka [24]

Answer:

4x-2x+3y+6x+6y          distributive property

4x-2x+6y+3y+6y          commutative property of addition

8x+9y                            combine like terms

Step-by-step explanation:

I hope this helps!

7 0
3 years ago
The ratio of the measures of the sides of a triangle is 3:4:5. Its perimeter is 48 inches. Find the scale factor as a decimal, a
Trava [24]

Given:

The ratio of the measures of the sides of a triangle is 3:4:5.

Its perimeter is 48 inches.

To find:

The scale factor as a decimal, and the measure of each side of the triangle.

Solution:

Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.

The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.

3x+4x+5x=48

12x=48

Divide both sides by 12.

x=\dfrac{48}{12}

x=4

Now, the measures of sides are:

3x=3(4)

3x=12

Similarly,

4x=4(4)

4x=16

And,

5x=5(4)

5x=20

Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.

5 0
3 years ago
Read 2 more answers
What is the area of the parallelogram?
Bezzdna [24]

The area of the parallelogram is mathematically given as

A = 7 square units Option B

<h3>What is the area of the parallelogram?</h3>

Generally, the equation for a parallelogram is mathematically given as

A=bH

Where

b=\sqrt{4^2+1^2}

b=4.123

and

H=1.75

Hence

A=3*1.75

A=7.2square units

In conclusion,  a parallelogram

A = 7 square units

Read more about parallelogram

brainly.com/question/1563728

#SPJ1

6 0
2 years ago
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