1. 2/4 x 2/9
2. 3/4 x 4/9
3. 2/5 x 5/8

Answer:

The equation of the perpendicular line of the given line is

 [tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given the equation of the line

         [tex]y = \frac{6}{5} x + \frac{4}{5}[/tex]

cross-multiplication, we get

       5y = 6x +4

The equation of the straight line is 6x - 5y +4=0

The equation of the perpendicular line to the given line is

                        b x - ay +k=0

The equation of the perpendicular line to the given line is   -5x-6y +k=0

This line passes through the point (-3,2)

    ⇒       - 5(-3) -6(2)+k=0

     ⇒       15 -12 +k=0

     ⇒              3 +k=0

       ⇒              k =-3

Step(ii):-

The equation of the perpendicular line is

                                  -5x-6y-3=0

                                  5x + 6y +3 =0

                                        6y = -5x-3

                                          [tex]y = \frac{-5}{6} x -\frac{3}{6}[/tex]

Final answer:-

The equation of the perpendicular line of the given line is

 [tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]

Answer:

The sidelength of the triangles is 6 feet and 8 feet.

Step-by-step explanation:

Given that,

The Hypotenuse of a right triangle = 10 feet

Let the shorter leg is x. It means the longer leg is (x+2).

For a right triangle,

Hypotenuse²=base²+perpendicular²

So,

[tex]10^2=x^2+(x+2)^2\\\\100=x^2+x^2+4+4x\\\\100=2x^2+4x+4\\\\2x^2+4x+4-100=0\\\\2x^2+4x-96=0\\\\x^2+2x-48=0\\\\(x+8)(x-6)=\\\\x=-8,6[/tex]

The side length of a triangle can't be negative. It means that the length of the shorter length is 6 feet and that of the longer leg be 8 feet.

Answer: -8 6

Step-by-step explanation:

Answer: $3.49

Step-by-step explanation:

Earnings per share shows how much of the profit of the company every share will get.

You can use it to calcutae the P/E ratio through the following formula:

P/E ratio = Share price / Earnings per share

15.17 = 52.93 / EPS

EPS * 15.17 = 52.93

EPS = 52.93 / 15.17

= $3.49

Answer: 20

Step-by-step explanation:

First and foremost, we should know that: 12 inches = 1 foot. Therefore converting 3 feet to inches will be:

= 3 × 12 = 36 inches.

Therefore, if a dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. The number of pieces will be:

= 3 feet / 9 inch

= 36 inches / 9 inches

= 4 pieces

Then, the number of 9-inch pieces that the dressmaker can cut from 5 of these rolls of ribbon will be:

= 4 × 5

= 20 pieces

Answer:

choice 1) a^2+b^2 = C^2

and

choice5) c = sq rt(a^2+b^2)

Answer:

DE = 4cm.

Step-by-step explanation:

The Isoscles Triangle Theorem says that:

"If two sides of a triangle are congruent, then angles opposite those sides are congruent."

The converse of this theorem is

"If angles opposite those sides are congruent, then two sides of a triangle are congruent."

Therefore, since ∠F is congruent to ∠D and are opposite sides ED and EF

while EF = 4 cm and DF = 5 cm.

DE = 4cm.

Answer:

y= -2/3x +4

Step-by-step explanation:

(0,4) and (6,0)

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

m= (0-4)/(6-0)

m= -2/3

y-y1=m(x-x1)

y-4= -2/3(x-0)

y-4= -2/3x

y= -2/3x +4

Answer:

D

Step-by-step explanation:

Almost positive it's D. When you take two points on the line, you'll get a slope of 2/3. Since it's going down left to right, it's going to be negative. SOOO -2/3. The y-intercept is 4 because, well that's where the line crosses the y-axis.

Answer:

A = 105 cm²

Step-by-step explanation:

The area (A) of the trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] [ (b₁ + b₂)h ]

where h is the height and b₁, b₂ the parallel bases

Here h = 5 , b₁ = 24 and b₂ = 18 , then

A = [tex]\frac{1}{2}[/tex] [ (24 + 18)5 ]

   = [tex]\frac{1}{2}[/tex] (42 × 5)

   = [tex]\frac{1}{2}[/tex] × 210

   = 105 cm²

Answer:

6.33

Step-by-step explanation:

Given the coordinates;

G(-4,2), O(5,-1), and T(10,8).

Midpoint of GT is expressed as;

M = (-4+10/2, 2+8/2)

M = (6/2, 10/2)

M = (3, 5)

Hence the midpoint of GT is (3,5)

Find the length of M and O

M (3,5) and O(5,-1)

MO = √(3-5)²+(5+1)²

MO = √2²+6²

MO = √4+36

MO = √40

MO  = 6.33

Hence the length of the segment joining the midpoint of GT and O is 6.33

The  length of the segment joining the midpoint of GT and O is 6.33.

Midpoint of GT is expressed as;

[tex]M = (-4+10\div 2, 2+8\div 2)\\\\ = (6\div 2, 10\div 2)[/tex]

 = (3, 5)

Hence the midpoint of GT is (3,5)

Find the length of M and O

M (3,5) and O(5,-1)

[tex]MO = \sqrt (3-5)^2+(5+1)^2\\\\= \sqrt(2^2+6^2)\\\\= \sqrt 4+36\\\\= \sqrt 40[/tex]  

= 6.33

Learn more: brainly.com/question/16911495

Answer:

3 minutes

Step-by-step explanation:

To find how many minutes it will take to play the whole song, multiply 1/5 by 15

15(1/5)

= 3

So, it will take 3 minutes to play the whole song

Answer:

Time taken to complete whole song

Let the time taken be x

Now,

x = 1/5 of 15

x = 15/5

x = 3 min

Step-by-step explanation:

[tex] \\ [/tex]

Answer:

A

Step-by-step explanation:

four of the sides are equal to 18mm, so that would be the 4(18mm), and then the two other sides are equal to 24mm, which is 2(24mm). Your full equation would be:

P= 4(18mm) + 2(24mm)

A

Answer:

P = 4(18 mm) + 2(24 mm)

Step-by-step explanation:

Answer:

Step-by-step explanation:

T = $3b

Answer:

Trina is 13

Kieth is 18

Step-by-step explanation:

x + 5 = Kieth's age

Divide by 2 to separate the ages:

62 ÷ 2 = 31

Subtract the difference in ages:

31 - 5 = 26

Add the 5 years to Kieth's age:

31 + 5 = 36

Divide by 2 again, to eliminate the twice of their ages

26 ÷ 2 = 13

36 ÷ 2 = 18

Trina is 13

Kieth is 18

This is what i got. Sorry if i'm wrong, lmk if i am!

Hope this helps! Brainliest if i'm correct!?

Answer:

18ft x 20ft

Step-by-step explanation:

(I'm kinda in a rush so I can't explain right now, sorry!)

Hope that helped though :)

The actual dimensions of the house is 18 feet by 20 feet.

Scaling is used to either increase or decrease the size of a figure to create an image.

Given that a scale of 6cm to represent 12 ft. Hence:

9 cm = 9 cm * (12 ft. per 6 cm) = 18 feet.

10 cm = 10 cm * (12 ft. per 6 cm) = 20 feet.

The actual dimensions of the house is 18 feet by 20 feet.

Find out more on scaling at: https://brainly.com/question/25324744

Answer: 2x + 3y = 35

Step-by-step explanation:

Let x = number of daisies

Let y = number of tulips

Since one sister likes daises which costs $2.00 per stem and the other likes tulips which costs $3.00 per stem, the inequality that could be use to determine how many of each flower he could buy if he only has $35.00 to spend will be:

2x + 3y = 35

Answer:

The answer is 27.25.

Step-by-step explanation:

Answer:

24 inches

Step-by-step explanation:

You can see in the picture a triangle is formed where the sides are AB, BC, and AC.

The side lengths you have are AC = 16 and BC = 20.

You can use the Pythagorean Theorem, [tex]a^2+b^2=c^2[/tex], so:

[tex]16^2+b^2=20^2[/tex]

[tex]256+b^2=400\\b^2=144\\b=12[/tex]

This means that the length of AB = 12.

It's asking the diameter, and AB is the radius, so you have to do 12 * 2 to find the diameter = 24 inches

3x-12y=216

-3x. -3x

-12y=216-3x

÷-12. ÷-12

Y= -18+1/4x

I think

Answer:

the answer of this question is 0

A. First, convert this equation into y-intercept form

y = 2x + 1

B. 2 is the slope: 1 is the y-intercept

Then, plug in 1 for y and solve

C. 1 = 2x + 1

Therefore, x is 0

Answer:

[tex]10 \sqrt{3} [/tex]

Answer:

C. As the value of x increases, the value of y decreases.

Step-by-step explanation:

The slope is -3. Negative slope means:

   As y increases, x decreases.

Therefore:

   As y decreases, x increases.

Answer:

Jane got 42 votes.

Step-by-step explanation:

Step 1: Put 70% into decimal.

0.7

Step 2: Multiple the class of 60 by 0.7 to get the winner's votes:

42

[tex] \huge \purple{\tt{Answer:}} [/tex]

108* tomato

72*green bean plants

36*pepper

86.4*zucchini

57.6*cucumber

I think it's a 1/2 because if you look at it and look at the points the smallest triangle would be half of that

Answer:

Evaporation

Step-by-step explanation:

because the temperature rises as go up...

Answer: B

Step-by-step explanation:  Condensation, because water is changing from gas to liquid

Answer:

what are we soposed to do?

Step-by-step explanation: