What is the slope of the line that passes through the points (4, 6) and (-16,18)?

Answer:

cos57° = x/51

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to solve for the missing side length.

Step 2: Set up ratios

We can choose between the 2 angles and have multiple ratios to solve for x.

sin33° = x/51

cos57° = x/51

Hence, we see that the 1st option would be the correct answer.

Answer:

x=12; Converse of conrresponding angles postulate

Step-by-step explanation:

On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:

8x-17=5x+19

Solve

X=12

The converse used was the Converse of Corresponding Angles Postulate

Answer:

α = 164.5387822595581°

Step-by-step explanation:

Calculate dot product:

a · b = ax · bx + ay · by = 5 · (-7) + (-4) · 3 = - 35 - 12 = -47

Calculate magnitude of a vector:

|a| = ax2 + ay2 = 52 + (-4)2 = 25 + 16 = 41

|b| = bx2 + by2 = (-7)2 + 32 = 49 + 9 = 58

Calculate angle between vectors:

cos α =   a · b

|a|·|b|

cos α =   -47

41 · 58

 = -  47

2378

√2378 ≈ -0.9638111202541978

α = 164.5387822595581°

Answer:

c is the answer i hope this helps

Answer:4 and a half

Step-by-step explanation:

4 and a half

Answer:

26m

Step-by-step explanation:

opp represents the height of the nest from the angle of elevation,adj represents the distance of the farmhouse from the building . Therefore,according to Tan rule (TOA)

Tan30° = opp/adj

opp= tan30° x adj

opp= tan30° x adj

opp = 0.5774 x 28

0pp= 16.12m

the height of the eagle's nest from the ground = 16m + 10m(since the farm house is 10m tall)

the height ...= 26m

Keenan hiked 15 times as far as Margot. How far did Keenan hike? the total number of miles be m

The Keenan hike is measured in m is [tex]\frac{15m}{16}[/tex]miles.

The given parameters;

Keenan and Margot hiked m miles altogether.

Let the distance Margot hiked = n

Then, the distance Keenan hiked = 15n

The combined distance both hiked: m = n + 15n

Calculating Margot's hiked distance in terms of m is as follows:

m = n + 15n

m = 16n

n=[tex]\frac{m}{16}[/tex]

The calculation for Keenan's hike in terms of miles is

= 15(n)

=15[tex]\frac{m}{16}[/tex]

=[tex]\frac{15m}{16}[/tex]

Thus, the  distance hiked by Keenan in terms of m is [tex]\frac{15m}{16}[/tex]miles.

To learn more about distance visit: https://brainly.com/question/15172156

#SPJ9

Answer:

The hypotenuse is 55 miles

Step-by-step explanation:

Given the sides of a right angle triangle as 33 and 44 miles, we want to get the hypotenuse

Mathematically, by Pythagoras’ theorem, the hypotenuse square is the sum of the squares of the other two sides

So we have;

h^2 = 33^2 + 44^2

h^2 = 3025

h = √3025

h =55 miles

Answer:

Step-by-step explanation:

-21x - 8y = 0

Answer:

[tex]m=\frac{-5}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (3, 14)

Point (7, 9)

Step 2: Find slope m

I'm sorry to answer your question without an answer but I have no result but if I get one I will notify you

Step-by-step explanation:

I hope that help's SORRY!!

Answer:

5,598 cans are required to empty the vessel

Step-by-step explanation:

The volume of a cylinder of radius r and height h is:

[tex]V = \pi r^2h[/tex]

The volume of a box of dimensions X, Y, and Z is:

V=X.Y.Z

A cylinder of r=1.4 m and height h=1.5 is used to store vegetable ghee. It contains a volume of:

[tex]V_1 = \pi 1.4^2*1.5[/tex]

[tex]V_1=9.236\ m^3[/tex]

Converting to cubic cm:

[tex]V_1=9.236*1,000,000\ cm^3[/tex]

[tex]V_1=9,236,282\ cm^3[/tex]

The volume of each rectangular tin can is:

[tex]V_2=33*10*5=1,650\ cm^3[/tex]

[tex]V_2=1,650\ cm^3[/tex]

The number of cans required to empty the vessel is:

[tex]V_1/V_2=9,236,282/1,650 = 5,598[/tex]

5,598 cans are required to empty the vessel

wait it is proportional

Answer:

4n + 10

Step-by-step explanation:

Answer:

b) [tex]\sqrt{10\\}[/tex]

Step-by-step explanation:

use law of sines to find all the sides and angles

Answer/Step-by-step explanation:

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

Answer:

16 and 64

Step-by-step explanation:

The geometric mean n of two numbers a and b can be given as;

√ab = n

In this question;

a = 16

b = ?

n = 32

So we have

16 * b = 32^2

b = 32^2/16

b = (32 * 32)/16

b = 2 * 32

b = 64

Answer:

y = 5.18

Step-by-step explanation:

replace x in the equation with 3.5

y = -0.72x + 7.7

y = -0.72(3.5) + 7.7

y = -2.52 + 7.7

y = 5.18

Answer:

5.18

Step-by-step explanation:

Answer:

the answer its 7^2 +7^3x5 its d hope helps you

Step-by-step explanation:

Answer:

The value of [tex]k[/tex] is -9.

Step-by-step explanation:

If [tex]A(x,y) = (-1,-6)[/tex], [tex]B(x,y) =(3, -12)[/tex] and [tex]C(x,y) = (k,6)[/tex], then [tex]\overrightarrow{BC} = \alpha\cdot \overrightarrow{BA}[/tex]. By vectors sum, we find each vector below:

[tex]\overrightarrow{BA} = A(x,y)-B(x,y)[/tex] (1)

[tex]\overrightarrow{BA} = (-1,-6)-(3,-12)[/tex]

[tex]\overrightarrow{BA} = (-4, 6)[/tex]

[tex]\overrightarrow{BC} = C(x,y)-B(x,y)[/tex] (2)

[tex]\overrightarrow{BC} = (k,6)-(3,-12)[/tex]

[tex]\overrightarrow{BC} = (k-3, 18)[/tex]

By substituting in the equation defined at the begining of this answer:

[tex](k-3, 18) =\alpha\cdot (-4, 6)[/tex]

[tex](k-3, 18) = (-4\cdot \alpha, 6\cdot \alpha)[/tex] (3)

The value of [tex]\alpha[/tex] is:

[tex]6\cdot \alpha = 18[/tex] (3a)

[tex]\alpha = 3[/tex]

If we know that [tex]\alpha = 3[/tex], then the value of [tex]k[/tex] is:

[tex]k-3 = -4\cdot \alpha[/tex]

[tex]k = 3-4\cdot \alpha[/tex]

[tex]k = 3-4\cdot (3)[/tex]

[tex]k = 3-12[/tex]

[tex]k = -9[/tex]

Then, the value of [tex]k[/tex] is -9.

Answer:the answer is 330 with that makes 11 presents

Step-by-step explanation:

because she spent 1200-870 on your brother subtract the 1200-870 it makes 330 so you can subtract 330-30 each will give 11 presents

Answer:

-2.5, 4.-3

Step-by-step explanation:

I'm trying I hope this help's??

Answer:

yes no yes yes mark brainiest please

Step-by-step explanation:

Answer:

A) 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (6, 7)

Point (5, 1)

Step 2: Find slope m

Answer:

$252

Step-by-step explanation:

The store paid $140 for the suit. Let's first find the 80% of $140.

$140 x 80% = $112

So now we just need to add $112 to $140.

$140 + $112 = $252

Answer:

5 miles

Step-by-step explanation:

YW

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

[tex]m∠ADB = \frac{1}{2} m∠ADC [/tex]

⟹[tex]8x - 3 = \frac{1}{2} \times 74[/tex]

[tex]8x - 3 = 37 ⟹8x = 37 + 3[/tex]

Divide both sides by 8 to find the value of x

[tex]x = \frac{40}{8} [/tex]

Therefore:

[tex]x = 5[/tex]

Answer:

c

Step-by-step explanation:

this is the closer to the number 7 on a number line