If a line has a y-intercept of -2, which statement is true about the line?

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:

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

and

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

Answer:

[tex]L=480\ kg-m^2/s[/tex]

Step-by-step explanation:

Given that,

Mass of a person, m = 80 kg

The distance from the centre of the platform, r = 2 m

The tangential speed of the platform, v = 3 m/s

We need to find the angular momentum of the person. The formula for the angular momentum is given by :

[tex]L=mvr\\\\L=80\times 3\times 2\\\\L=480\ kg-m^2/s[/tex]

So, the required angular momentum is equal to [tex]480\ kg-m^2/s[/tex].

Answer:

Tangential speed is 0.68 m/s

Explanation:

It is given that,

Mass of the beetle, m = 0.023 kg

It is placed at a distance of 0.15 m from the center of record i.e. r = 0.15 m.

If it takes 0.070 n of force to keep the beetle moving in a circle on the record i.e. centripetal force acting on it is, F = 0.070 N

We have to find the tangential speed of the beetle. The formula for centripetal force is given by :

v is tangential speed

v = 0.675 m/s

or

v = 0.68 m/s

Hence, the correct option for tangential speed is (A).

Step-by-step explanation:

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: See explanation

Step-by-step explanation:

From the question, we are informed that Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each.

The expression that gives the total cost of the bouquets that Penny buys will be:

= (3 × $3) + (4 × $2)

Solving further will be:

= (3 × $3) + (4 × $2)

= $9 + $8

= $17

Answer:

D

Step-by-step explanation:

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:

4 Centimeters

Step-by-step explanation:

If 1 centimeter is 2.5 millimeters, then 4 centimeters is 10 millimeters because 2.5 x 4 = 10 or 10/2.5 = 4

Answer:

Substitution, but this system of equations has no solution.

Step-by-step explanation:

2x-4y=10

2y+6=x

----------------

2(2y+6)-4y=10

4y+12-4y=10

12=10

no solution.

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:

6

Step-by-step explanation:

-4x -3 = -6x +9

-4x = -6x +12

2X = 12

x = 6

Answer:

6

Step-by-step explanation:

-4x -3 = -6x +9

-4x-6x = 9+3

2x = 12

x = 12/2  

x = 6

Answer:

y-5=-3(x-1)           simplified: y=-3x+8

Step-by-step explanation:

y-y1=m(x-x1)

plug in point and slope given

y-5=-3(x-1)

y=-3x+3+5

y=-3x+8

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:

x=-3, y=-22/3. (-3, -22/3).

Step-by-step explanation:

3y+7=5x

7x-3y=1

---------------

5x-3y=7

7x-3y=1

--------------

-5x+3y=-7

7x-3y=1

----------------

2x=-6

x=-6/2=-3

7(-3)-3y=1

-21-3y=1

3y=-21-1

3y=-22

y=-22/3

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:

New York style cheesecake: $6           Apple cheese cake: $7

Step-by-step explanation:

Ryan and Kali sold the same amount of apple cheesecakes which means the New York cheesecakes differed in amount. Ryan sold 2 more than Kali so the difference in amount would be the cost of 2 New York cheese cakes.

Ryan made $91 and Kali made $79. Since they sold the same amount of apple cheesecakes, we can use their difference in money made to find the cost of 2 New York cheesecakes. So take away 79 from 91 and you get 12. $12 is the price of 2 New York cheesecakes. So take the 12 and divide it by 2. You get 6. $6 is the price of one New York cheesecake.

To find the amount of one apple cheesecake, you just need to multiply the amount of New York cheesecakes Kali sold by the price of 1 New York cheesecake. So 6 multiplied by 12 is equal to 72. Take the money Kali made and take away 72 from it. You get 7. 7 is the cost for one apple cheesecake. $7 for 1 cheesecake.

I hope this helps!

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:

B

Step-by-step explanation:

if b and c are complementary that means b + c = 90

b + 47 = 90

b = 43

since a and b are congruent they are equal

if b = 43 then a = 43

Answer:A = 1500e^(0.03 * 5) = 1500e^(0.15)

use definition of logarithm

0.15 = ln(A / 1500)

0.15 = ln(A) - ln(1500)

ln(A) = 0.15 + ln(1500) = 0.15 + 7.313220387 = 7.463220387

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:

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: 4 1/6

Step-by-step explanation: I BELIEVE the answer is

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:

(-1)^1 if exponent is required, but just -1 is correct and easier

Step-by-step explanation:

(6-7)^3

(-1)^3

(-1)*(-1)*(-1) = -1

so if an exponent is required, then c

Answer:

eliver mail. The table shows the truck's distance d from the post office at time t. Calculate the average rate of change over the interval from 8 to 15 minutes. t(min) d (km) 0 0 8 7 11 11 15 14 22 16 (1 point) The rate of change is about 0.8 kilometers per minute. The rate of change is 7 kilometers

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:

The measure of angle BCA is 81 degrees.                                            

Answer:

2/8, 2/7, 2/5, and lastly 2/3

Step-by-step explanation:

hope this helped ( correct me if i'm wrong)

Answer:

6

Step-by-step explanation:

37/37+5=1+5=6