A golf player is trying to make a hole-in-one on the miniature golf green shown. 19.2 ft12.8 ft Imagine that a coordinate grid is placed over the golf green. The golf ball is at (4, 3.2) and the hole is at (15.2, 3.2). The player is going to bank the ball off the side wall of the green at (9.6, 12.8). Part 1 out of 2 Enter an equation for the path of the ball. Enter the parameter a as a fraction in lowest terms. y =

Answer:

-11=x

Step-by-step explanation:

2/5x-3.6 is the simplified when you DISTRIBUTE 2/5 multiplying both parts of the parentheses. Add 3.6 to both sides 2/5x=-4.4 then 2x=-22, x=-11

Answer:

76

Step-by-step explanation:

140-56= 84

140-84=56

160-84=76

Answer:

-6 and -4

Step-by-step explanation:

-6 + -4 = -10

-6- - 4 = -2

Answer:

Step-by-step explanation:

Perimeter= 46

Area of rectangle= Length * Width

Ratio                    =       2 : 1

= Length= 2/3 * 46 = 30.6/2 = 15.3

Width = 1/3 * 46 = 15.3/2 = 7.65

Area= 117.045

Answer:

[tex] m\angle L = 111\degree \\

m\angle M = 69\degree [/tex]

Step-by-step explanation:

Since, angle L and angle M are supplementary.

[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]

Answer: The answer is x = -19

Answer:

-19

Step-by-step explanation:

9x - 5x -3x = -14 -5

1x = -19

Answer:

8

Step-by-step explanation:

2 (2)(2)

2 times itself 3 times.

Answer: 8

Step-by-step explanation: Since 2 is to the power of 3 that means multiply by itself 3 times, so 2 x 2 x 2 = 8.

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Answer:

it is 5/2

Step-by-step explanation:

Answer:

7.07

Step-by-step explanation:

See image for explanation

Answer:

64$

Step-by-step explanation:

Ifshe saved 8$ each week then that would equal to 40

But by adding the 24$ already saved the total amount would equal to 64$

Answer:

266

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{1}{3}}}}}} [/tex]

Step-by-step explanation:

[tex] \sf{ \frac{2}{3} + ( - \frac{1}{3} )}[/tex]

We know that [tex] \sf{( + ) \times ( - ) = ( - )}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{2}{3} - \frac{1}{3}} }[/tex]

While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same.

[tex] \dashrightarrow{ \sf{ \frac{2 - 1}{3}}} [/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ \frac{1}{3}}}} [/tex]

Hope I helped!

Best regards! :D

The sum of 2/3 + (-1/3) in fraction form is 1/3 after applying the arithmetic operation, the answer would be 1/3.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The number expression is:

= 2/3 + (-1/3)

= 2/3 - 1/3

Taking 3 as LCM

After simplification:

= (2 - 1)/3

= 1/3

Thus, the sum of 2/3 + (-1/3) in fraction form is 1/3 after applying the arithmetic operation, the answer would be 1/3.

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Answer:

[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]

Step-by-step explanation:

So we have the equation:

[tex]3^{1-x}+3^{1+x}=90[/tex]

First, note that this is the same as:

[tex]3\cdot 3^{-x}+3\cdot 3^x=90[/tex]

Factor out a 3:

[tex]3(3^{-x}+3^{x})=90[/tex]

Divide both sides by 3:

[tex]3^{-x}+3^x=30[/tex]

Change the negative exponent into a fraction:

[tex]\frac{1}{3^x}+3^x=30[/tex]

Multiply both sides by 3^x:

[tex]3^x(\frac{1}{3^x}+3^x)=(30)(3^x)[/tex]

Distribute:

[tex](1)+(3^x)^2=30(3^x)[/tex]

Let u equal 3^x. So:

[tex]1+u^2=30u[/tex]

Subtract 30u from both sides:

[tex]u^2-30u+1=0[/tex]

This is a quadratic. Solve using the quadratic formula. A is 1, b is -30, and c is 1. So:

[tex]u=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Substitute:

[tex]u=\frac{-(-30)\pm \sqrt{(-30)^2-4(1)(1)}}{2(1)}[/tex]

Simplify:

[tex]u=\frac{30\pm \sqrt{900-4}}{2}[/tex]

Subtract:

[tex]u=\frac{30\pm \sqrt{896}}{2}[/tex]

Simplify:

[tex]u=\frac{30\pm 8\sqrt{14}}{2}[/tex]

Simplify:

[tex]u=15\pm 4\sqrt{14}[/tex]

Substitute back u:

[tex]3^x=15\pm 4\sqrt{14}[/tex]

Take the log to base 3 of both sides:

[tex]\log_3{3^x}=\log_3{15\pm 4\sqrt{14}}[/tex]

The left side cancels:

[tex]x=\log_3{15\pm 4\sqrt{14}}[/tex]

So, our solutions are:

[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]

And we're done!

Answer:

a+62=65

Step-by-step explanation:

if a=3 then 62+3=65

Answer:

[tex] {24}^{25} = 3.201 \times {10}^{34} [/tex]

Answer:

150

Step-by-step explanation:

125/2.5=50

50x3 =150

Answer:

150

Step-by-step explanation:

I took the Practice/Instruction :)

Answer:

8/2

Step-by-step explanation:

Answer:

A.  12

Step-by-step explanation:

a = -7

b = -4

c = 5

ignore B. counting should be till the desired grid which is C

AC = 7 + 5

AC = 12

Answer: 12

Step-by-step explanation: just count their distance by 1

Answer:

$7.79 per pair of gloves

Step-by-step explanation:

divide

31.16÷ 4 = 7.79

Answer:

não sei....................

Answer:

-8b -32

Step-by-step explanation:

8 (-b-4)

Distribute

-8*b -4*8

-8b -32

Answer:

There is no picture, my sweetheart.

Step-by-step explanation:

Answer:34.00-29.99=4.01. 4.01÷0.17=

Step-by-step explanation:

Answer: What is the volume of a book when the length is 42 cm, the width is 12 cm and the height is 4 cm?  2016 (length x width x height)

What is the mass of a rock if the volume is 54 ml and the density is 3.2 g/ml?  172.8 (when finding the mass you always multiply the volume and density so 54ml x 3.2 g/ml = 172.8)

What is the density of a block of wood that has a mass of 38 g and a volume of 19 cm3?  2cm3 (38g/19cm3=2cm3

What is the density of a box if the mass is 160 g and the volume is 12 ml?  13.3 (160/12=13.3)

What is the volume of a shark’s tooth when you start with 75 ml of water in a graduated cylinder and when the shark’s tooth is placed in the water, the water level rises to 90 ml? (use water displacement) 15 (If you measure the amount the water level increases, you can find the volume of the water pushed out of the way.)

The mass of a pencil is 8 g and the density is 1.24 g/ cm3. What is the volume of the pencil? 6.45cm3  (8/1.24/cm3=6.45

Step-by-step explanation:

Answer:

x = -22

Step-by-step explanation:

Solving in steps:

Answer:

4^3 and 8^2

Step-by-step explanation:

Answer:

12

2

Step-by-step explanation:

4 × 4 × 4 × 8 x 8

Solution:

2 2 2 3 3 2+2+2+3+3

2 x 2 x 2 x 2 x 2 = 2

12

2

2 raised to the 12 power

Answer:

Step-by-step explanation:

(x - 3)/2= 1

x - 3 = 2

x = 5

(y - 8)/2 = -2

y - 8 = -4

y = 4

(5, 4) coordinates for B

The coordinates of B are (5, 4) if the midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8),

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

The midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8).

Let the coordinate of B is (x, y)

From the midpoint theorem:

(x - 3)/2= 1

x - 3 = 2

x = 5

For y coordinate:

(y - 8)/2 = -2

y - 8 = -4

y = 4

(5, 4) coordinates for B

Thus, the coordinates of B are (5, 4) if the midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8),

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d. 1440

I'm guessing you mean hours in a school yr

8 hrs in a day x 180 days = 1440 hrs in 1 school yr

how many 'hours' are there in a school year?

answer: D

8 hours a day x 180 days ( one school year)

8 x 180

= 1440 hours

9 deer per square mile

There are 9 deer per square mile because once you add all of the miles together it equals 61. Then you add all of the deer seen together equaling 549. You then divide 549 by 61 equaling 9.

n = 2

My picture shows my work :)