Ex. 1 Write an equation in slope-intercept form for the line that passes through (3, 8) and is
perpendicular to the line with equation y = -1/3x+8

Answer:

8(a+4)=8a+32

Step-by-step explanation:

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

\begin{gathered}f(x)=-x+1,x < 0\\\\f(x)=x+1,x\geq 0\end{gathered}

f(x)=−x+1,x<0

f(x)=x+1,x≥0

If we let f(x)=y

then, y=x+1 and y=-x+1

Put x=0,

\begin{gathered}y=0+1\\\\y=1\end{gathered}

y=0+1

y=1

so, there must be coordinate on y -axis at 1.

and it must take Ist and II nd quadrant .

Hence, First Option is correct.

The total number of children tickets sold on the particular day is; 13750.

It follows from the task content that;

On this note, it follows that the total number of children and adult tickets sold on that particular day is; x and y respectively.

Upon solving the equation simultaneously, x=13750.

Hence, the total number of children tickets sold is; 13750.

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Answer:

13,750

Step-by-step explanation:

Switch values a and d value a 1 and value d 35 and then after that make values b and c negative so turn value b 1 into -1 and turn value c 15 into -15 and then follow this method a×d-(-b)×(-c) so like this 1×35-(15)(1)= 35-15=20 and thats the determinant so then you do put it on a fraction below 1 so like this 1/20 times the top part of the matrix (35 -1 ) and the bottom part of the matrix (-15 1) so mulitply every value by 0.05 so we end up with the top part of the matrix (1.75 -0.05)

and the bottom part of the matrix (-0.75 0.05) and then we multiply them like this

1.75(25,000) + (-0.05)(600,000)= 43,750 - 30,000= 13,750

-0.75(25,000) + 0.05(600,000) = -18,750 + 30,000= 11,250



so the missing matrix is

(13,750 11,250)

so the number of childrens tickets sold is 13,750

Answer: One face of a cube has a perimeter of a+a+a+a=4a.

The required perimeter of one of the faces of the cube is 4 units.

Given that,
A cube has a volume of 1 cubic unit. what is the perimeter of one of its faces is to be determined.

Perimeter is the measure of the figure on its circumference.

A cube is defined is a regular 3-dimensional structure whose dimension at every section is identical.

Here,
According to the question,
Area of the square = 1 cubic unit
a² = 1
a = 1
Now,
The perimeter of the square = 4a
                                                = 4 (1) = 4 units

Thus, the required perimeter of one of the faces of the cube is 4 units.

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Answer:

The scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches long. What is the length, in feet, of the actual train car?

Algebra

Step-by-step explanation:

Answer:

B. 86.625

Step-by-step explanation:

To find the volume of a shape the formula is this, length x width x height. 5.5 x 4.5 x 3.5 = 86.625.

Answer:

x = 52

Step-by-step explanation:

49° is the vertical angle of the triangle.

-> measure of other angle of triangle = 49°

By exterior angle theorem:

x° + 49° = 101°

-> x° = 101° - 49°

-> x° = 52°

-> x = 52

Answer:

(x+7)(x+2)

(x+2)(x+8)

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST

Answer:

100 DEGREES

Step-by-step explanation:

Supplementary means they add to 180 degrees

4x + 5x = 180

x = 20

smaller angle  4 (20) = 80

 learger angle 5 (200 = 100

Answer:

If 50.24cm = Circumference

Radius = 8cm

If 50.24cm^2 = Area

Radius = 4cm

Step-by-step explanation:

50.24cm what? Circumference? Area?

π = 3.14

2πr = Circumference

50.24 / 2π = r

r = 8

πr^2 = Area

50.24 / π = r^2

r^2 = 16

r = 4

Answer:

35 seconds

Step-by-step explanation:

Subtract 42 from 7

then you'll 35 secs

Answer:

741.75798\dots

Step-by-step explanation:

\mathrm{Add\:the\:numbers:}\:1+0.045=1.045

1.045^3=1.141166125

\mathrm{Multiply\:the\:numbers:}\:650\cdot \:1.141166125=741.75798\dots

Answer:

1. Acute, because it is less than 90 degrees or less than a right angle.

2. that is obtuse because it is bigger than 90 degrees

3. acute, because it is less than 90 degrees.

Answer:

1. Acute 2. Obtuse 3. Acute

Step-by-step explanation:

1 and 3's angles are smaller than 90 degrees. 2 is obtuse because its angle is larger than 90 degrees.

Answer

(180,120)

Cannot be determined

Step-by-step explanation:

Fax

The critical point with the maximum revenue is at (180,120)

The objective function is given as:

Revenue = 75x+85y

The critical points are (0,0) (180,120) (300,0)

Substitute these points in the objective function.

Revenue = 75(0)+ 85(0) = 0

Revenue = 75(180)+ 85(120) = 23700

Revenue = 75(300)+ 85(0) = 22500

The maximum revenue is 23700.

Hence, the maximum revenue is at point (180,120)

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Answer:

O The independent variable is T and P is the dependent variable

O The P increases by 2 as T increases by 1

Answer:

45%

Step-by-step explanation:

Since he drove 54 miles out of 120 in the first hour, the equation for this would be 54/120×100. This equals 45 and that is the percentage

Answer:

254.3 mm^2

Step-by-step explanation:

Area of a circle: A = π*r^2

π (pi) = 3.14

r (radius) = 9 mm

Substitute 3.14 for pi and 9 for radius:

A = π*r^2

A = 3.14*9^2

A = 3.14*81

A = 254.34 mm^2

Round to the nearest tenth:

254.34 ==> 254.3

Therefore, our final answer is 254.3 mm^2

Hope this helps!

Answer:

[tex]\displaystyle \large{x=\dfrac{1}{7}}[/tex]

Step-by-step explanation:

Given:

[tex]\displaystyle \large{7x=1}[/tex]

Divide both sides by 7:

[tex]\displaystyle \large{\dfrac{7x}{7}=\dfrac{1}{7}}\\\displaystyle \large{x=\dfrac{1}{7}}[/tex]

Therefore, the solution is x = 1/7

Answer:

[tex]x =\frac{1}{7}[/tex]

Step-by-step explanation:

Find the value of x in 7x = 1​

[tex]7x = 1 < == divide\ both\ sides\ by\ 7\\\\\frac{7x}{7}=\frac{1}{7}\\\\ x =\frac{1}{7}[/tex]

Hope this helps!

Answer:

C & D because vertical angles have the same measures and thoses angles intersects each other

Step-by-step explanation:

Answer:

24 oz

Step-by-step explanation:

16 oz to a pound

16 x 1.5 = 24 oz

Answer:

24 ounces

Step-by-step explanation: One pound equal 16 ounce plus a half a pound which is 8 equals 24

Answer:

slope = - 7/3

Step-by-step explanation:

Slope of a line = m

 perpindicular slope = - 1/m

-1 / ( 3/7) = - 7/3

Check the picture below.

now, the Range and Domain are both assuming the lines goes no further, keeping in mind that most lines go to infinity.

the x-intercepts are just where the graph intersects or touches the x-axis.

the y-intercepts are just where the graph intersects or touches the y-axis.

vertex is simply where it makes the U-turn, and axis of symmetry is simply most of the time the x-coordinate of the vertex, of namely the line where the graph begins making a mirror image.

Answer:

I would say likely.

Step-by-step explanation:

I hope this helps.

The area equation for the given rhombus is:

A = (x^2 + 2x - 8) m^2

So the correct option is the second one.

For a rhombus of diagonals d₁ and d₂, the area is given by:

A = (d₁*d₂)/2

In this case, we have:

d₁ = (2x + 8)m

d₂ = (x - 2)m

Then the area equation is:

A = (1/2)*(2x + 8)*(x - 2) m^2

A = (x + 4)*(x - 2) m^2

A = (x^2 - 2x + 4x - 8) m^2

A = (x^2 + 2x - 8) m^2

So the correct option is the second one.

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Answer:

b

Step-by-step explanation:

opposite of 8- i tried sorry its because im a 4th grader

Mean is average 11 x 2 = 22

The two cards need to equal 22 when added together.

the difference is 6:

6/2 = 3

11-3 = 8

11+ 3 = 14

14 +8 = 22

the two numbers are 8 and 14

Answer:

56

Step-by-step explanation:

You need to divide 20/16 and 70*z to find the missing length.

Answer:

H = Y (21, -12)

Step-by-step explanation:

Given

Solving

The required image point is H=Y(21, -12)

If the scale factor is given then by multiplying the scale factor with the co-ordinates gives us the image of the given point.

Here the given point is Y(-7, 4)

After the dilation centered at origin, the scale factor is -3

∴ The x co-ordinate is (-7)×(-3)=21

& the y co-ordinate is 4×(-3)= -12

Hence the image is Y(21, -12)

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