Select the correct answer from each drop-down menu.
A student begins a proof of the law of cosines. His work is shown.

(png/image displayed in download)

The next step in the proof is to write an expression for the length of side AZ in terms of ____
Then the student should write an expression for the length of side AY in terms of____
Next he can use the ____
to relate x, y, z, and ____
(____) = blank, not known

1. blank choices
y,z and x
y,z and y
x,z and z

2. blank choices
z and Y
x and Z
z and X

3. blank choices
Pythagorean Theorem
Law of sines
tangent function

4. blank choices
X
Z
Y

Thanks for your time, have a nice day!

Answer:

A and C

Hope this helps!!

If I am wrong please tell me I enjoy learning from my mistakes:)

The domain of the function to know the number of cars remaining on any day during the month is [0, 40]. The maximum and minimum values are 120 and 0 respectively.

The domain is the all inputted value for which the function is defined. All the x values are domain of a function.

Now, finding the domain of the function,

We know that, the number of cars cannot be negative, so

[tex]f(x)\geq0\\120-3x\geq0\\3x\leq120\\x\leq40[/tex]

The number of cars should be greater than 0, so x > 0.

So, the domain will be [0, 40].

The maximum value is given by putting x = 0,

[tex]f(0)=120-3(0)\\=120[/tex]

The minimum value is given by putting x = 40,

[tex]f(40)=120-3\times40\\=120-120\\=0[/tex]

Therefore, the domain of the function f(x)=120-3x to know the number of cars remaining on any day during the month is [0, 40]. The maximum and minimum values are 120 and 0 respectively.

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Answer:

x=0, y=0

(0,0)

Step-by-step explanation:

First you see that y= -8x, so you would place that in the y variable for the question above, which means your question would now be 2x+4(-8x)=0. Now you would solve 4 time -8x which is -32x. The equation would then be 2x-32x=0. Then you would Combine Like Terms which would get you -30x=0. Then you divide -30 by 0 which gets you an x = 0. Then you would solve for y.   Lets make it easy. You can plug in the x to any of the substitution problems, but I prefer doing it to y= -8x since it is easier. You will see why. You would then do, -8(0) (0 is the x value) and your answer would be 0, because -8 times 0 is well 0. Once you got this, you know your x is 0 and y is 0, so your answer would be (0,0). The reason it is easier to substitute the bottom rather than the top is because for the top, you would do 2(0) + 4y = 0, then you would solve which gets you 0+4y=0, then subtract 0-0 which is 0, then you would divide 4y by 0 which gets you an answer of 0. This is much more complex than just substituting the problem for y = -8x. I really hope this helps you out. I know it is confusing, but if you keep on solving more of these and working them out, then it will become much easier for you.

Basically, 6 is the base number for this. The equation for this is 6 * 3^n

The 12th number in this sequence is 3,188,646

Hope this helps :)

Answer:

Step-by-step explanation:

6, 18, 54, 162, ...

[tex]a_{1}[/tex] = 6

r = 3

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

[tex]a_{12}[/tex] = 6 × [tex]3^{11}[/tex] = 1,062,882

Answer:

i believe its 2 but i might be wrong sorry if i am

Step-by-step explanation:

I think it could be number 1 or number 2

Answer:

41/63

Step-by-step explanation:

41/63 can't be simplified

Answer:

3/7+4/18=41/63

Step-by-step explanation:

3/7=3x18/7x18=53/126

4/18=4x7/18x7=28/126

54/126+28)126=54+28/126=82/126

82/126

simplify

41/63

Answer:

A = 324 in²

Step-by-step explanation:

A square has 4 congruent sides s , then

s = 72 ÷ 4 = 18 in

The area (A) of a square is calculated as

A = s² = 18² = 324 in²

Answer:

y = -3x + 17

Step-by-step explanation:

first, change the equation into slope-intercept form

add 'x' to each side to get:

3y + x = 12

divide each side by 3 to get:

y = 1/3x + 4

now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:

2 = -3(5) + b

2 = -15 + b

17 = b

put slope and y-intercept together to get:

y = -3x + 17

Answer:

R3. alternate interior angles

( alternate interior angles are always congruent )

S4. AC = CA

R5. ASA triangle congruence property

( you have 2 angles and the included side, so you know they're congruent )

lmk if you want an actual explanation

Answer:

x^2 + 10x - 24 = 0

Step-by-step explanation:

Two zeros are 2 and -12:

So the function is (x-2)(x+12) = 0

<=> x^2 + 12x - 2x - 24 = 0

<=> x^2 + 10x - 24 = 0

Answer:

1) 59

2) 31

3) 59

4) 31

5) 31

6) 59

7) 118

8) 62

9) 62

10) 118

11) 31

Step-by-step explanation:

The angle marked 59 degrees is congruent to angles 1, 3, and 6. The angle marked 59 + angle 11 is 90 degrees because the shape is a rectangle, so 90-59=31. Angle 11 is congruent to angles 2, 4, and 5. Now that we know that the triangle on the left has two angles of 59 degrees and that the angle measures of a triangle add to 180, 59+59=118 and 180-118=62, so angle 9 is 62 degrees. Angles 8 and 9 are vertical angles and therefore are congruent. To find angles 10 and 7, we can use the same method: angles 4 and 5 are both 31 degrees, 31+31=62, so we subtract 62 from 180 to get 118. Angles 7 and 10 are also vertical angles, so they are both 118 degrees. I hope this helps!

Answer:

do it got a picture

Step-by-step explanation:

Answer:

8  chicken and 4 steak .

Step-by-step explanation:

8 x 14.99 =  119.29

4 x 25 = 100

Answer:

3,272

Step-by-step explanation:

8 x 400 = 3200

8 x 9= 72

3200 + 72 = 3,272

Answer:

Step-by-step explanation:

Answer:

The slope is -2

Step-by-step explanation:

y+6=24-2x

y=18-2x

y=-2x+18

Answer:

Slope = -2

Step-by-step explanation:

Changing this problem (y+6=24-2x) to Slope Intercept form turns it into y=-2x+18.

the formula is written as y=mx+b m=slope b=y-intercept and x & y being a certain number that is unknown . Therefore, the slope of the equation y=-2x+18 will be

m=-2/1 rise/run

Answer:

0.65

Step-by-step explanation:

the number is greater than 0.5 and less than 7, that would usually be 0.6 but since it has two decimal places, it can be 0.61 to 0.68 since 0.69 would be the largest

espaneool

Step-by-step explanation:

Answer:

mq - 12

ql - 36

Step-by-step explanation:

I am not for sure but this is what I think it is because the m-q is smaller than the q-l

Answer:f=103.444

Step-by-step explanation:

took this test and got an A++

The value of the function [tex]f(x)=7+2x[/tex]  for [tex]f(7)[/tex] is 21.

The given functions are [tex]f(x)=7+2x[/tex] and [tex]g(x)=5x-2[/tex].

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

To find [tex]f(7)[/tex], substitute [tex]x=7[/tex] in [tex]f(x)=7+2x[/tex], we get

[tex]f(7)=7+2(7)[/tex]

[tex]f(7)=21[/tex]

Therefore, the value of the function [tex]f(x)=7+2x[/tex]  for [tex]f(7)[/tex] is 21.

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Answer:

x=72

Step-by-step explanation:

x-9=3/4 ⋅ x+9

1/4 ⋅ x -9=9

1/4⋅x=18

x=72

Answer:

1.05660377358 or 1.06 rounded

Step-by-step explanation:

If it needs to be rounded, use 1.06 or 1.057. If not, the exact answer is 1.05660377358.

Answer:

1.056603774

Step-by-step explanation:

Answer:

first put the numbers and unknowns to different sides, as in 6x-3x= 14-5, now solve for x, 3x=9, divide each side by 3 to get the value of x, x=3

Step-by-step explanation:

I did it for you. (Step by step)

I hope this helps.

Answer:

n = 4

Since you divide 6 by 3 to get 2, you divide 12 by 3 and you get 4.

Answer: 4

Step-by-step explanation: This problem is already set out as a proportion. you can cross multiply 6 times n which gives you 6n. Then 12 times 2 which gives 24.

Now you have 6n = 24. You can divide right away, or think of a number when you multiply into 6 gives you 24. Its obvious the answer is 4 because 6 x 4 = 24.

Check:

6/12 = 1/2

2/4 = 1/2

Hope this explanation helps.

Answer: y = -1 and x = 3

Step-by-step explanation:

x=-2y+6

3x-4y = 28

There are two ways to solve this:  1) solve directly with the equations, and 2) graph the line and look for the intersection.

---

Use the definition of x from the first equation and substitute it in the second:

3x-4y = 28

3(-2y+6)-4y = 28

-6y + 18 -4y = 28

-10y = 10

y = - 1

---

Graph the two lines and find the value of y at the point they intersect.  See the attachment.

y = -1 at x= 8

=======================

For the second question:

y=3x-10

4x+5y=7

---

4x+5y=7

4x+5(3x-10)=7

4x+15x-50=7

19x = 57

x = 3

----

Answer:

(3,4)

Step-by-step explanation:

My old teacher taught me a trick for this. Treat the first number like the y and the second like the x. Count Accordingly from there.

[tex](x-4)(x-3) =0\\\\\implies x-4 = 0~~ \text{ or}~~ x - 3 = 0\\\\\implies x = 4~~ \text{or}~~ x = 3[/tex]