In ΔLMN, MN = 15, NL = 20, and LM = 6. Which list has the angles of ΔLMN in order from smallest to largest?

Answer:

[tex](1,\, 10)[/tex].

Step-by-step explanation:

Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to [tex]x[/tex]. Make use of the power rule to find the following:

[tex]g^\prime(x) = 3\, x^2 - 2\, a\, x[/tex].

[tex]h^\prime(x) = 2\, (2\, x) + b = 4\, x + b[/tex].

The question states that the graphs of [tex]g(x)[/tex] and [tex]h(x)[/tex] touch at [tex]x = 1[/tex], such that [tex]g^\prime(1) = h^\prime(1)[/tex]. Therefore:

[tex]3 - 2\, a = 4 + b[/tex].

On the other hand, since the graph of [tex]g(x)[/tex] and [tex]h(x)[/tex] coincide at [tex]x = 1[/tex], [tex]g(1) = h(1)[/tex] (otherwise, the two graphs would not even touch at that point.) Therefore:

[tex]1 - a + 6 = 2 + b + 3[/tex].

Solve this system of two equations for [tex]a[/tex] and [tex]b[/tex]:

[tex]\begin{aligned}& a + b = 2 \\ & 2\, a + b = -1\end{aligned}[/tex].

Therefore, [tex]a = -3[/tex] whereas [tex]b = 5[/tex].

Substitute these two values back into the expression for [tex]g(x)[/tex] and [tex]h(x)[/tex]:

[tex]g(x) = x^3 + 3\, x^2 + 6[/tex].

[tex]h(x) = 2\, x^2 + 5\, x + 3[/tex].

Evaluate either expression at [tex]x = 1[/tex] to find the [tex]y[/tex]-coordinate of the intersection. For example, [tex]g(1) = 1 + 3 + 6 = 10[/tex]. Similarly, [tex]h(1) = 2 + 5 + 3 = 10[/tex].

Therefore, the intersection of these two graphs would be at [tex](1,\, 10)[/tex].

Answer:

Step-by-step explanation:

Biking is x and bussing is y. We know that the total distance is 325. Thus, the first equation in this system is

x + y = 325 (which says that the km traveled by bike plus the km traveled by bus totaled 325 km).

We also know that the pair biked 75 km more than they rode, giving us the second equation in our system:

x = y + 75. Now we use simple substitution and plug y + 75 in for x in the first equation:

(y + 75) + y = 325 and

2y + 75 = 325 and

2y = 250 so

y = 125 km. They rode the bus for 125 km and biked for 325 - 125 which is 200. And the difference is 75 km, as it should be!

Answer:

B.) 75

Step-by-step explanation:

Answer: B 75

Step-by-step explanation:

Answer:

A. x + 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{x^2 - 25}{x - 5}[/tex]

Step 2: Simplify

Answer:

Mariana takes the two pills together after 18 hours.

Step-by-step explanation:

Mariana must take two pills; one every 6 hours and another every 9 hours.

She take two pills together. Let she takes the two pills together after t hours at the time when she take initially.

To find the time to take the two pills together, take the least common multiple of 6 and 9.

6 = 2 x 3

9 = 3 x 3

So, the least common multiple is 2 x 3 x 3 = 18

So, she takes the two pills together after 18 hours.

Answer:

y=3x + 1

Step-by-step explanation:

slope is same

insert coordinates into x and y values

determine y-intercept

Answer:

add

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.

Hope this is helpful

Answer:

Add

Step-by-step explanation:

Hope it helps you

Please mark as brainliest

Thank You

Answer:

Step-by-step explanation:

Answer:

1.) 8 ; (2.) 200 ; (3.) 5 ; (4.) 6

Step-by-step explanation:

1.)

Number of apple baskets = 11

Total number of apples = 88

Number of apples per basket = 88 / 11 = 8

2).

Number of words per minute = 40

Number of words that can be typed in 5 minutes :

40 * 5 = 200 words

3.)

Number of balloons = 20

Number of friends = 4

Number of balloons per friend = 20/4 = 5

4.)

Time required to make 1 greeting card = 5 minutes

Number of greeting cards that can be made in 30 minutes :

30 minutes / 5 minutes = 6 greeting cards

9514 1404 393

Answer:

  2

Step-by-step explanation:

Each orange vertex is twice as far from the origin as the corresponding black vertex. Each orange line segment is twice as long as the corresponding black line segment. The scale factor is 2.

The amount of floor left uncovered by the circular area rug is 160.36 ft².

The first step is to determine the area of the rectangular room.

Area of the rectangular room = length x width

14 x 16 = 224 ft²

The second step is to determine the area of the circular rug.

area of the circular rug = πr²

= 22/7 x 4.5² = 63.64

Now, subtract the area of the rug from the area of the room:

Area left uncovered =  224 ft² -  63.64 = 160.36 ft²

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

Answer:

4 and 5

Step-by-step explanation:

Let the numbers be x and y

If their sum is 9, hence;

x + y = 9 ....1

When reversed

10y+x = 2(10x+y)

10y+x = 20x + 2y

10y - 2y = 20x - x

8y = 19x

y = 10x/8 ...2

Substitute equation 2 into 1;

From 1;

x+y = 9

x +(10x/8) = 9

18x/8 = 9

18x = 72

x = 72/18

x = 4

Since x+y =9

y = 9-x

y =9-4

y = 5

Hence the numbers are 4 and 5

Answer:

6

Step-by-step explanation:

Answer: you can put it into addition form or multiplication just take the number from that place as the right amount of zeros behind it and you should be good so on 6 it could be 90 or if your suppose to be putting it in multiplication it would be 9x10

Step-by-step explanation:

Answer:

read below

Step-by-step explanation:

decomposed answ:

6. 9*10

7. 4*10

8. 89*10

9. 3*100

10. 7*1000

11. 37*100

decomposition:

12. 56*10

13. 43*100

14. 60*100

Answer:

[tex]C=28.3m[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter [tex]d=9m[/tex]

Radius[tex]r=4.5m[/tex]

Generally the equation for Circumference of a circle is mathematically given by

[tex]C=2\pi r\\\\\C=2*\pi*4.5m[/tex]

[tex]C=28.3m[/tex]

Answer:

Step-by-step explanation:

From the question we are told that:

Diameter

Radius

Generally the equation for Circumference of a circle is mathematically given by

Have a good day

Step-by-step explanation:

Given:

The rule of translation is:

[tex](x+3,y-2)[/tex]

The trapezoid ABCD on the graph.

To find:

The coordinates of the point C'.

Solution:

From the given graph, it is clear that the coordinates of point C are (-2,4).

The rule of translation is:

[tex](x,y)\to (x+3,y-2)[/tex]

Using this rule of translation, we get

[tex]C(-2,4)\to C'(-2+3,4-2)[/tex]

[tex]C(-2,4)\to C'(1,2)[/tex]

Therefore, the coordinates of the point C' are (1,2).

Answer:

B

Step-by-step explanation:

These are corresponding angles if i remember correctly.

Answer:

Supplementary

Step-by-step explanation:

The angles add up to 180 degrees

Answer:

all positive real numbers, (0, ∞)

Step-by-step explanation:

The log function is not defined for 0 or for negative numbers.

The domain of the log function is all positive real numbers.

Answer: all positive real numbers

Answer:

Step-by-step explanation:

6=48

Answer:

91 - 120 minutes

Step-by-step explanation:

In a histogram, the bar highest suggests the most common, so most students spend 91 - 120 minutes in this histogram.

please type it correctly and i can help Step-by-step explanation:

Answer:

V = 12,348·π

Step-by-step explanation:

The given parameters of the glass Vase are;

The shape of the glass vase = A sphere

The radius of the vase, r = 21 inches

The given formula for finding the volume of a sphere is [tex]V = \dfrac{4}{3} \cdot \pi \cdot r^3[/tex]

Therefore, when r = 21 inches, we get;

[tex]V = \dfrac{4}{3} \cdot \pi \cdot 21^3 = {12,348 \cdot \pi}[/tex]

Therefore, the expression for finding the equation of the spherical glass vase, V = 12,348·π

Answer:

Step-by-step explanation:

1)

9:10

+ 0:45

9:55      

so at 9:55 she finished her eating.

2)

  10:25

- 2:15

8:10

so test started at 8:10

3)

9:15

-7:30

2:15    

si games duration was 2;15

4)

2:40

+25

3:05

 se reached home at 3:05

Answer:

Vertex is (-a, -6), where a ≠ 0.

General Formulas and Concepts:

Algebra I

Algebra II

Vertex Form: y = a(bx - h)² + k

Step-by-step explanation:

Step 1: Define

y = -3(x + a)² - 6

↓ Identify variables

a = -3

b = 1

(h, k) = (-a, -6)

Answer:

please mark as brilliant

Answer:

Step-by-step explanation:

[tex] {10}^{ - 4} [/tex]

Answer:

(3,-5)

Step-by-step explanation:

We first cal ulate the distance

Answer:

5.4 units

Step-by-step explanation:

Hi there!

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (1,5) and (3,0)

[tex]d=\sqrt{(3-1)^2+(0-5)^2}\\d=\sqrt{(2)^2+(-5)^2}\\d=\sqrt{4+25}\\d=\sqrt{29}\\d=5.4[/tex]

Therefore, the distance between the two points when rounded to the nearest tenth is 5.4 units.

I hope this helps!