Graph the line with the equation y= -1/3x - 2

Answer:

x = -3

x = 7

Step-by-step explanation:

If either term is zero the product is zero

(2x + 6)(x - 7) = 0

2x + 6 = 0

2x = -6

x = -3

x - 7 = 0

x = 7

Answer:

$30

Step-by-step explanation:

Total amount paid by the hire purchase scheme:

$60 + 6 * $45 = $60 + $270 = $330

Total amount paid in just the cash price:

$300

Difference:

$330 - $300 = $30

Answer:

during the first 3mins the bus was accelerating from 0km to 25 kilometers

during the next 90 mins btwn 30mins to 120 mins it was moving at a constant distance n speed

lastly for the last 60 mins from 120 mins to 180 mins it started decelerating from a distance of 25km to 0 km

9514 1404 393

Answer:

Step-by-step explanation:

The general approach here is to choose a variable you want to eliminate, identify the coefficients of it, and use those to multiply the equations so adding the products will eliminate the variable.

Here, the coefficients of x are -1 and -3; the coefficients of y are 2 and 5. We often like to choose the set of coefficients that includes 1 or where the coefficients are related by an integer factor. These criteria suggest that we should use the coefficients -1 and -3. One of our multipliers must be the opposite of one of these coefficients. So, we choose for them to be -3 and +1.

That is, multiplying the first equation by -3 will make the x-coefficient be 3; multiplying the second equation by 1 will make the x-coefficient be -3. Adding these equations will then eliminate x terms.

  (-3)(-x +2y = 12)

+ (1)(-3x +5y =27)

gives (3x -6y) +(-3x +5y) = -36 +27

which simplifies to the sum ...

  0x -1y = -9

__

Dividing by the coefficient of y, we find y = 9. Substituting into the first equation, we have ...

  -x +2(9) = 12)

  x = 18-12 = 6

The solution is (x, y) = (6, 9).

Answer:

1st term = 14

2nd term = 29

3rd term = 44

Step-by-step explanation:

1st term = 3 x (5x 1) - 1

             = 3 x 5 - 1

             = 15 - 1 = 14

2nd term = 3 x ( 5 x 2 ) - 1

               = 3 x 10 - 1

                =30 - 1 = 29

3rd term = 3 x (5 x 3 ) - 1

               = 3 x 15 - 1

               = 45 - 1 = 44

I'll do problem 13 to get you started.

The expression [tex]4\left(\frac{2^n}{7^n}\right)[/tex] is the same as [tex]4\left(\frac{2}{7}\right)^n[/tex]

Then we can do a bit of algebra like so to change that n into n-1

[tex]4\left(\frac{2}{7}\right)^n\\\\4\left(\frac{2}{7}\right)^n*1\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{0}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1-1}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1}*\left(\frac{2}{7}\right)^{-1}\\\\4*\left(\frac{2}{7}\right)^{1}\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{-1}\\\\\frac{8}{7}\left(\frac{2}{7}\right)^{n-1}\\\\[/tex]

This is so we can get the expression in a(r)^(n-1) form

Note that -1 < 2/7 < 1, which satisfies the condition that -1 < r < 1. This means the infinite sum converges to some single finite value (rather than diverge to positive or negative infinity).

We'll plug those a and r values into the infinite geometric sum formula below

S = a/(1-r)

S = (8/7)/(1 - 2/7)

S = (8/7)/(5/7)

S = (8/7)*(7/5)

S = 8/5

S = 1.6

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

Answer in fraction form = 8/5

Answer in decimal form = 1.6

Answer:

10.

Step-by-step explanation:

It's the right end of the box.

Answer:

{3π/4 , 7π/4}

Step-by-step explanation:

2 + Tanθ = 1

tan θ = 1 -2

Tanθ = -1

θ = 3π/4 and 7π/4

Answer:

[tex]\displaystyle \sin E=\frac{20}{101}[/tex]

Step-by-step explanation:

Recall that sine is the ratio between the opposite side and the hypotenuse in a right triangle:

[tex]\displaystyle \sin x=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

In the given triangle, with respect to E, the adjacent side is 99, and the hypotenuse is 101. So, we are not given the value of the opposite side.

Since it is a right triangle, we can use the Pythagorean Theorem. Hence:

[tex]OU^2+99^2=101^2[/tex]

Solving for OU (the opposite side) yields:

[tex]OU=\sqrt{101^2-99^2}=20[/tex]

Therefore, the opposite side is 20.

Hence:

[tex]\displaystyle \sin E=\frac{20}{101}[/tex]

Answer:

Step-by-step explanation:

You cannot force me to answer these questions.

bestie that is worth more than 15 pts

Answer:

5

Step-by-step explanation:

X + 2y = 13

Since x = 3

3 + 2y = 13

2y = 13 - 3

2y = 10

Divide both sides by 2

Y = 5

Answer:

C. 39

Step-by-step explanation:

If AB = BC, and angle A is 39 degrees. we can assume that angle C would have a similar angle.

Since in △ABC , AB=BC

∴ the triangle is isoceles.

In an isoceles triangle the angles opposite to equal sides are equal.

∴∠A=∠C

This means that C.39 is the correct answer

Answer:

39, C

Step-by-step explanation:

If angle A = 39, then the angle C is equal to A. This may seem like a weird question, but it’s the way that the triangle is positioned.

Also, you can prove this by looking at the equation provided in the prompt.

B is the vertex that they are creating this problem from, therefore, it may be helpful to turn the triangle around!

Answer:

Step-by-step explanation:

(3x-2)(5x+4)

=3x(5x+4)-2(5x+4)

=3x*5x+3x*4-2*5x-4*8

=15x^2+12x-10x-32

=15x^2+2x-32

Answer:

what ____________________________

Answer:

0.9375

Step-by-step explanation:

I know!

Answer:

1.25 x .75 = 0.9375

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Simplifying

6x + -3 = 3x + 12

Reorder the terms:

-3 + 6x = 3x + 12

Reorder the terms:

-3 + 6x = 12 + 3x

Solving

-3 + 6x = 12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-3 + 6x + -3x = 12 + 3x + -3x

Combine like terms: 6x + -3x = 3x

-3 + 3x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0

-3 + 3x = 12 + 0

-3 + 3x = 12

Add '3' to each side of the equation.

-3 + 3 + 3x = 12 + 3

Combine like terms: -3 + 3 = 0

0 + 3x = 12 + 3

3x = 12 + 3

Combine like terms: 12 + 3 = 15

3x = 15

Divide each side by '3'.

x = 5

Answer:

Radius = √75 or 5√3 or 8.7

Step-by-step explanation:

This forms a right triangle meaning you can use Pythagorean Theorem to solve for the missing side which, in this case, will equal the radius.

Let a = radius

a² + b² = c²

a² + 11² = 14²

a² + 121 = 196

a² = 75

a = √75 = 5√3 ≈ 8.7

Answer:

radius = ab = √75

Step-by-step explanation:

Triangle ABC is a right triangle so to find the radius, aka one of the sides of the triangle, we need to use the Pythagorean theorem.

ac^2 = bc^2 + ab^2 Pythagoras Theorem

14^2 = 11^2 + ab^2 Substitution

196 = 121 + ab^2 Alg

75 = ab^2 Alg

ab = √75 Alg = radius

Answer:

5A) radius = 9 ft

5B) diameter = 18 ft

5C) fencing length = 56.52 ft

5D) 6.35 days

Step-by-step explanation:

Radius is given when it is 9 ft of rope (outside to center of circle)

Diameter is two times radius = 18.

Circumference(fence length) = 2 * 3.14 * 9 = 56.52.

Area circle = 3.14*(9*9) = 254.34. 254.34/40 = 6.35

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

14.176 mm

Step-by-step explanation:

16=[tex]\pi[/tex][tex]r^{2}[/tex]

r=2.25733052

C=2[tex]\pi[/tex]r

C= 14.176mm

Answer:

k= 2, k= -4

Step-by-step explanation:

you can use symbolab

Answer:

X is 2

Step-by-step explanation:

the equation is Y = 19X

when X=5, Y=95

when Y=38, X = 38/19 = 2

Answer:

angle 1=117 because it have vertical angles of congruence theorem

angle 2= 117 because it has the alternate exterior angle theorem

hope this helps

have a good day :)

Step-by-step explanation:

vertical angles have the same length

alternate exterior angles would have the same angle measure because they are on opposite side of the angles

Answer:

x = 4.6439

Step-by-step explanation:

2^x =25

Take the log of each side

log  2^x = log 25

We know that log a^b = b log a

x log 2 = log 25

Divide each side by log 2

x = log 25  / log 2

x =4.643856

Rounding to 4 decimal places

x = 4.6439

Answer:

x = 4.6439

Step-by-step explanation:

[tex]2^{x} =25log 2^x = log 25\\log 2 = log 25x = log 25 / log 2\\x =4.643856\\x = 4.6439[/tex]

Answer:

Axis of Symmetry: [tex]x=5[/tex]

Step-by-step explanation:

The axis of symmetry is defined as the line [tex]x=\frac{-b}{2a}[/tex]. Therefore, our axis of symmetry is located at the line [tex]x=\frac{-(-10)}{2(1)}=\frac{10}{2}=5[/tex]. See the graph attached for a visual.

Answer:

x = 5

Step-by-step explanation:

That's f(x) = x^2 - 10x + 16.  The coefficients of the x terms are {1, -10, 16}:  {a, b, c}.  

                                                                         -b

The formula for the axis of symmetry is x = --------

                                                                           2a

Here, with a = 1 and b = -10, the formula for this particular axis of symmetry is

       -(-10)

x = ------------ = 5

         2(1)

or x = 5

Answer:

[tex] \blue{x = 11.4} [/tex]

Step-by-step explanation:

See the figure.

The right triangles has legs of lengths 9 and 7.

[tex] 9^2 + 7^2 = x^2 [/tex]

[tex] x^2 = 130 [/tex]

[tex] x = \sqrt{130} [/tex]

[tex] \blue{x = 11.4} [/tex]