I need help with this problem..

Answer:

The co-ordinates of B (1,3 )

Step-by-step explanation:

Step(i):-

Given A( 3,4) and C( -9, -2)

Given  'B' partition AC such that

B divides AC in the ratio is 1:5 internally

Section formula

       [tex](\frac{mx_{2}+nx_{1} }{m+n} ,\frac{my_{2}_+ny_{1} }{m+n} )[/tex]

Step(ii):-

Given points are

     A( 3,4) and C( -9, -2) and ratio 1 : 5

(x₁ , y₁) = ( 3,4)     and (x₂, y₂) = (-9,-2)

m:n = 1 : 5

The co-ordinates of B

           = [tex](\frac{1(-9)+5(3) }{1+5} ,\frac{1(-2)+5(4) }{1+5} )[/tex]

         =  [tex](\frac{6}{6} , \frac{18}{6} )[/tex]

       = (1 , 3)

Final answer:-

The co-ordinates of B (1,3 )

Answer:

-2

Step-by-step explanation:

f(x) = –x– 5

f(x) = -(-3)– 5

f(x) = 3– 5

f(x) = -2

Answer:

Answer is -2 because - * - = + 3-5=-2

Answer:

0

Step-by-step explanation:

Answer:

a = −1 or a = 7

Step-by-step explanation:

Let's solve your equation step-by-step.

( a − 7 ) ( a + 1 ) = 0

Step 1: Simplify both sides of the equation.

a^2 − 6a − 7 = 0

Step 2: Factor left side of equation.

( a + 1 ) ( a − 7 ) = 0

Step 3: Set factors equal to 0.

a + 1 = 0 or a − 7 = 0

a = −1 or a = 7

Answer:

y = 15

x = 43

Step-by-step explanation:

this is giving us a system of equations because we know two things:

x + y = 58

x - y = 28

take the second equation and format it where you have simplified it for one variable:

x = 28 + y

(we did this by adding y to both sides)

now substitute this new value of x into the first equation:

28 + y + y = 58

simplify this to get 2y = 30

divide both sides by 2: y = 15

now substitute your new value of y into the second equation:

x = 28 + 15

x = 43

Answer:

The perimeter of square will be 18 units

Step-by-step explanation:

We are given that the coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 )

When point D is placed on this perimeter.

We have to find the perimeter of the square.

First we have to find the side of square by using the distance formula

Distance formula

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Coordinates of A=(-5/2,3/2)

Coordinates of B=(-5/2,-3)

Length of side AB=[tex]\sqrt{(-5/2+5/2)^2+(-3-3/2)^2}[/tex]

Length of side AB=[tex]\sqrt{0+(-9/2)^2}[/tex]

Length of side AB=9/2 units

Now, the perimeter of square=4 (side)

Using the formula

Perimeter of square=4(9/2)=18 units

Answer:

change/original price X 100

22/88 X 100 = 25%

Answer:

y = 45 + 0.15x

Step-by-step explanation:

$45 is the initial cost

0.15 is the cost for each mile

we dont know the miles so miles is x, unknown

Answer:

[tex]Scale = 1\ in : 8\ ft[/tex]

Step-by-step explanation:

Given

[tex]Scale\ Measurement = 20.5in[/tex]

[tex]Actual\ Measurement = 164ft[/tex]

Required

Determine the scale

The scale is calculated using the following ratio:

[tex]Scale = Scale\ Measurement : Actual\ Measurement;[/tex]

Substitute values for Scale and Actual Measurements

[tex]Scale = 20.5\ in : 164\ ft[/tex]

Divide ratio by 20.5

[tex]Scale = 20.5/20.5\ in : 164/20.5\ ft[/tex]

[tex]Scale = 1\ in : 8\ ft[/tex]

This implies that: 1 inch on scale represents 8 ft in actual measurement

Answer:

1.8

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Answer

Erica has 14 cards

Step-by-step explanation:

Answer:

264 miles

Step-by-step explanation:

Let's convert 3 hours and 40 minutes into hours first.

Recall that 1 hour = 60 minutes.

Therefore 40 minutes = 40/60 hours = 2/3 hours.

The car travelled 3 and 2/3 hours in total.

Recall that distance = speed times time.

The car has travelled 72 x 3 2/3 miles = 264 miles.

Answer:

it's true...............

Answer:

I think it's the y-function. Are there any choices to choose from?

Step-by-step explanation:

Answer:

They increase at the same rate

Step-by-step explanation:

If you look at linear function p, the equation is y=3x-6

Answer:

The correct answer is  25 ¢(cents) (.25 of a dollar) Per Juice box

Step-by-step explanation:

34 divided by 136 is .25 or  25 ¢

Answer:

The height is 3791 ft.

Step-by-step explanation:

You need to make a drawing. Start with a vertical segment, 2 inches long, on the left side of the page. Label the top point A and the bottom point B. At the bottom endpoint, draw a longer horizontal segment, 4 inches long, to the right. Label the bottom right endpoint C. Connect A and C with a segment. Angle C is the original angle of elevation. On the bottom horizontal side, approximately 1 inch to the left of C, draw point D. Connect D and A with a segment. DA = 1000 ft. m<C = 34.8°. m<ABD = 40.4°. We are looking for AB, the height of the volcano.

We can work on triangle ADC.

m<C = 34.8°

Angles ADB and ADC are a linear pair, so m<ADC = 180° - 40.4° = 139.6°

m<DAC + m<ADC + m<C = 180°

m<DAC + 139.6° + 34.8° = 180°

m<DAC = 5.6°

Using the law of sines, we can find AC.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex]\dfrac{\sin 5.6^\circ}{1000} = \dfrac{\sin 139.6^\circ}{AC}[/tex]

[tex]AC = \dfrac{1000\sin 139.6^\circ}{\sin 5.6^\circ}[/tex]

[tex] AC = 6642~ft [/tex]

Now we use triangle ABC. AC = hypotenuse. AB = opposite leg. <C is known angle.

[tex] \sin C = \dfrac{opp}{hyp} [/tex]

[tex]\sin 34.8^\circ = \dfrac{AB}{6642~ft}[/tex]

[tex]AB = 6642~ft \times \sin 34.8^\circ[/tex]

[tex] AB = 3791~ft [/tex]

Answer: The height is 3791 ft.

Answer:

3611/12

Step-by-step explanation:

Answer: x=9 1/3

Step-by-step explanation:

-5=-3x-33

-5+33=-3x

28=-3x

3x=-28

x=28/3

x=9 1/3

Answer: X=-28/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5=−3(x+11)

−5=(−3)(x)+(−3)(11)(Distribute)

−5=−3x+−33

−5=−3x−33

Step 2: Flip the equation.

−3x−33=−5

Step 3: Add 33 to both sides.

−3x−33+33=−5+33

−3x=28

Step 4: Divide both sides by -3.

-3x/-3= 28/-3

X=-28/3

have a nice day :)

Answer:

50,373 feet

Step-by-step explanation:

tan 15° = 13500 / x

.268 = 13500 / x

x = 50,373

Given:

The two endpoints are (4,5) and (4,-3).

To find:

The line segment between the given endpoints and the length of the line segment.

Solution:

Plot the given point and connect them by and straight line segment as shown in the below graph.

The distance between (4,5) and (4,-3) is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(4-4)^2+(-3-5)^2}[/tex]

[tex]d=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]d=\sqrt{0+64}[/tex]

[tex]d=\sqrt{64}[/tex]

[tex]d=8[/tex]

Therefore, the length of the line segment is 8 units.

Answer:

its 18

Step-by-step explanation:

plz mark brainlist

Answer:

3.  176

5. 122.2

7. 168

4. 13

6. 12.6

7. 492

Step-by-step explanation:

Answer:

225 centimeters^2

Step-by-step explanation:

SO just split the shape

Calcualte

11*14+9*9

154+81=225

Answer:

It is clear that both equations are identical. Hence, the solution to the system of equations would contain infinitely many solutions.

Step-by-step explanation:

Given the system of equations

y = -4x + 2

y = -4x + 2

It is clear that both equations are identical. We know that when the system of equations is identical, then the system of equations will have infinitely many solutions.

Hence the given system of equations would contain infinitely many solutions.

solving the system of equations

[tex]\begin{bmatrix}y=-4x+2\\ y=-4x+2\end{bmatrix}[/tex]

Substitute y = -4x+2

[tex]\begin{bmatrix}-4x+2=-4x+2\end{bmatrix}[/tex]

For y = -4x+2

Express y in terms of x

[tex]y=-4x+2[/tex]

Thus, the solution to the system of equations would be:

[tex]y=-4x+2,\:x=x[/tex]

It is clear that x = x is true no matter what. Hence, the solution to the system of equations would contain infinitely many solutions.

Answer:

-7/3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = -7/3x + 5

Step 2: Break Function

Identify Parts

Slope m = -7/3

y-intercept b = 5

Answer:

one-solution

Step-by-step explanation:

(x + 2y = 6)2

2x - 3y = 26

2x + 4y = 12

2x - 3y = 26

7y = -14

y = -2

x + 2(-2) = 6

x + -4 = 6

x = 10

Answer:

Step-by-step explanation:

It is two lines, if they intersect there is one solution, if parallel- no solution, if  same lines- infinitely many solutions

Lets put them in slope-intercept form and compare:

As we see the lines have different slopes, so they intersect which means one solution only.

Answer:

[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³

Step-by-step explanation:

Differentiate using the chain rule

Given

y = f(g(x)) , then

[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)

Here

f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³

g(x) = 2x + 3 ⇒ g'(x) = 2

Thus

[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2

    = 8(2x + 3)³

Answer:

B

Step-by-step explanation:

i did the same test

Answer:

C

Step-by-step explanation:

The x coordinate of the rest stop:

1/2 × (the sum of the x coordinates of the highschool and the stadium)

= 1/2 × (3+7)

= 1/2 × 10

= 5

The y coordinate of the rest stop:

- Same thing i did for the x coordinate, but use the y coordinates.

1/2 × (the sum of the y coordinates of the highschool and the stadium)

= 1/2 × (4 + 1)

= 1/2 × 5

=5/2

So the coordinate of the rest stop would be (5, 5/2).

Next for the distance, i used the pythagoras theory so it's like this:

a^2 + b^2 = c^2

Here you plot the highschool and the stadium on the coodinate plane, then connect the two dots to make a right triangle. The height of the triangle will be 3, and the base would be 4. So a=3, b=4 in the equation.

3^2 + 4^2 = c^2

9 + 16 + c^2

25 + c^2

c = 5

(Note that this isn't the real answer cuz at the end of the question it said that one UNIT equals 6.4 MILES.)

So the final answer is 5 × 6.4, which is 32. The answer is C.

Answer:

The waste Suzanne is going to have is around 7.726.

8 if looking for nearest square foot.

Step-by-step explanation:

Area for a square - x*x (length times length)

Area for a circle - r^2*pi

Find the area of the circle first, which plug in r as 3.

3^2*pi

9pi

≈28.27433

Notice for a circle inside a square,  the length of the square is the diameter of the circle.

By knowing 2r=diameter, we know the length of the square is 6

substitute x as 6.

6*6=36

Find the waste= Area of square - Area of circle

36-28.27433

≈7.726

The image I attached should give you a clue on how the problem is being done and help you to understand what the 3 feet means.