Please help..

A line intersects the points
(21, 18) and (23, 24).
Find the slope of the line.
Slope = [?]

70 days

that is the procedure above

Answer:

a. 125 degrees

b. 62 degrees

c. 58 degrees

d. 130 degrees

Step-by-step explanation:

I assume these are the inner angles of the polygons.

remember, for a polygon with n sides we can fully split it into n-2 triangles without overlap.

each of these triangles has an angle sum of 180 degrees.

to get the total inner angle sum of the polygon, we need to multiply 180 by (n-2) (= the number of triangles).

out of that total we can then calculate the size of the missing angle.

a. 6 sides, therefore 4 triangles

4×180 = 720 degrees

the missing angle is

angle = 720 - 88 - 152 - 125 - 105 - 125 = 125

b. 5 sides, 3 triangles

3×180 = 540 degrees

angle = 540 - 109 - 111 - 140 - 118 = 62

c. 4 sides, 2 triangles

2×180 = 360

angle = 360 - 60 - 142 - 100 = 58

d. 7 sides, 5 triangles

5×180 = 900

angle = 900 - 90 - 120 - 140 - 150 - 120 - 150 = 130

Given:- 7x + 1 < 4(x - 2)

7x + 1 < 4(x - 2)

7x + 1 < 4x - 8

7x - 4x < -8 -1

3x < -9

x < -9/3

x < -3

Answer:

a = - 6

Step-by-step explanation:

Given

f(x) = 3x + 5 , then

f(a) = 3a + 5 and f(a) = - 13 , then equating the right sides

3a + 5 = - 13 ( subtract 5 from both sides )

3a = - 18 ( divide both sides by 3 )

a = - 6

Answer:

a = -6

Step-by-step explanation:

see, x has been replaced by a.

so f(a) = 3a + 5 . . . . . . . (i)

a displaces x from it's every position in the equation.

and it's given that f(a) = -13

putting f(a) = -13 in equation (i) :-

3a + 5 = -13

3a = -18

[tex] \blue{ \implies}\mathfrak { \red { \underline{ \: a = - 6 } } } [/tex]

Answer:

Step-by-step explanation:

If Quan had 15 and Kaden had 3 times as much, then Kaden had 15(3) = 45. If he spent 10 then he had 35 left. The amount of money Quan had after his mom gave him some was 4/5 the amount of Kaden's 35 (let x = the amount of money Quan has after his mom gives him some):

[tex]x=\frac{4}{5}(35)[/tex]  35 divides by the 5 in the denominator 7 times, and 7 times 4 is 28. That's how you get your 28 in part a.

For part b., he started with 15 and ended with 28, so his mom gave him 28-15=13. That's how you get the 13.

Step-by-step explanation:

c. 2x-11 this is the answer

hope this helps you

have a nice day:)

Answer:

c

Step-by-step explanation:

Answer:

C. 37 degrees

Step-by-step explanation:

27, 36, 45 is just a larger 3, 4, 5 triangle. The smallest angle is across from the smallest side. With those in mind, we have 37, 53, and 90 degrees as the angles for a 3, 4, 5 triangle. We pair the 27, (the three when we reduce) with the smallest angle, the 37.

I'm sure you can do it with an actual formula, but i can't recall. Cheers

Answer:

6=n

Step-by-step explanation:

Hi there!

We are given this equation:

3(n+4)=5n

And we need to solve it for n

To do that, we need to isolate n on one side

But we need to open up the parentheses on the left side by doing the distributive property

Multiply both n and 4 by 3

3n+12=5n

Now subtract 3n from both sides to remove it from the left side

12=2n

Divide both sides by 2 to change the coefficient on n from 2 to 1

6=n

n is now isolated on one side

Hope this helps!

Answer:

n=6

Step-by-step explanation:

Using the distributive property, we distribute 3 to n and 4. In case if you don't know what that means, it means we multiply 3 to the variables inside the parentheses. So we get (3×n)+(3×4)=5n, and we simplify it so we get 3n+12=5n. Now, we can subtract 3n from both sides and get 12=2n, and divide 2 from both sides and get n=6.

Answer:

A

Step-by-step explanation:

As two angles are same which means 3rd also is equal which means aaa axiom

Answer: 23, 27,29

Those im absolutely positive about.

Im not sure abt the rest

Step-by-step explanation:

If x = 0.888…, then 10x = 8.888… and

10x - x = 9x = 8   ==>   x = 8/9

Answer:

ewfwefwfewfwfwe

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

2x + 3y = -14

x - y = 3

Multiply the second equation by -2 to eliminate x

2x + 3y = -14

-2x +2 y = -6

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

    5y = -20

Divide by 5

5y/5 = -20/5

y = -4

Answer:

Step-by-step explanation:

Answer:

$6778.36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

P = 6000

r = 5% = 0.05

n = 1

t = 2.5

Step 2: Find Interest

Answer:

54piecm^3

Step-by-step explanation:

pie x radius ^2 x h

= v

pie x 9

= 9pie x 6

= 54pie

Step-by-step explanation:

1 . when we collect like terms we only focus on the variables and the power of the variable I f exist so in this question the answer is 8x^2 because both have the same variable and same power or exponent.

2. one term is monomial

two terms is binomial

3. b

4. -9

5. c

Answer: C

Step-by-step explanation:

To find the surface area of a cone, you use the formula [tex]A=\pi r(r+\sqrt{h^2+r^2} )[/tex]. Since we are already given the height and radius, all we have to do is plug in the values and solve.

[tex]A=9\pi (9+\sqrt{41^2+9^2} )[/tex]       [solve inside of square root]

[tex]A=9\pi (9+\sqrt{1762} )[/tex]             [parenthesis]

[tex]A=9\pi (50.976 )[/tex]                   [multiply]

[tex]A=458[/tex]

Therefore, the closest answer is C.

Answer: The correct answer is in the first option.

Step-by-step explanation:

Equation of an Ellipse

[tex]\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1\\\\25x^{2} - 150x + 9y^{2} = 0\\\\\text {Let's \: perform \: the \: transformations:}\\\\\dfrac{25x^{2} }{25 \cdot 9} -\dfrac{150x}{25 \cdot 9} +\dfrac{9y^{2} }{25 \cdot 9} =0\\\\\dfrac{x^{2} }{3^{2} } -\dfrac{6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } =0\\\\\dfrac{x^{2} -6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } +\dfrac{3^{2} }{3^{2} } -\dfrac{3^{2} }{3^{2} } =0\\\\\dfrac{x^{2} -6x+3^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =\dfrac{3^{2} }{3^{2} }[/tex]

[tex]\dfrac{(x-3)^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =1[/tex]

Answer:

1. a) x1 = -8 y x2 = -4

b) x1 = -1/3

2. a) x1 = 0 y x2 = -5

b) x1 = 4 y x2 = -4

3. m debe ser 6. Asi tendriamos (x+3)²=0

4. a) x1 = 4, x2 = -4, x3 = 3 y x3 = -3

b) x1 = 3, x2 = -3 las otras dos raices son complejas.  

Step-by-step explanation:

1. a) [tex]x^{2}+12x+32=0[/tex]

Factorizando:

[tex](x+8)(x+4)=0[/tex]

Entonces: x1 = -8 y x2 = -4

4. a) x1 = 4, x2 = -4, x3 = 3 y x3 = -3

b) [tex]9x^{2}+6x+1=0[/tex]

Factorizando:

[tex](3x+1)(3x+1)=0[/tex]

[tex](3x+1)^{2}=0[/tex]

Entonces: x1 = -1/3

2. a) [tex]2x^{2}+5x=0[/tex]

Aplicando factor comun:

[tex]x(x+5)=0[/tex]

Entonces: x1 = 0 y x2 = -5

b)  [tex]2x^{2}-32=0[/tex]

Despejamos x.

[tex]2x^{2}=32[/tex]

[tex]x^{2}=16[/tex]

Entonces: x1 = 4 y x2 = -4

3. m debe ser 6. Asi tendriamos (x+3)²=0

4. a)  [tex]x^{4}-25x^{2}+144=0[/tex]

Hacemos cambio de variable: [tex]w=x^{2}[/tex]

[tex]w^{2}-25w+144=0[/tex]

Ahara podemos factorizar:

[tex](w-16)(w-9)=0[/tex]  

Usando el cambio de variable nuevamente.

[tex](x^{2}-16)(x^{2}-9)=0[/tex]    

Entonces los valores de x son: x1 = 4, x2 = -4, x3 = 3 y x3 = -3

b)  [tex]x^{4}+9x^{2}-162=0[/tex]

Hacemos cambio de variable: [tex]z=x^{2}[/tex]

[tex]z^{2}+9z-162=0[/tex]

Ahara podemos factorizar:

[tex](z-9)(z+18)=0[/tex]    

Usando el cambio de variable nuevamente.

[tex](x^{2}-9)(x^{2}+18)=0[/tex]            

Entonces los valores de x son: x1 = 3, x2 = -3 las otras dos raices son complejas.  

Espero ye haya servido!

Answer:

c. f(-2)= -21

b. g(x)=8

c. h(3)= -19

h(4)= -5

Step-by-step explanation:

Answer:

The formula to determine the area of the circle.

Step-by-step explanation:

↔

Presumably, ln⁵(x) is the same as (ln(x))⁵ (as opposed to a quintuply-nested logarithm, log(log(log(log(log(x)))))).

Then substituting u = ln(x) and du = dx/x gives

[tex]\displaystyle\int\frac{\mathrm dx}{x\ln^5(x)} = \int\frac{\mathrm du}{u^5} = -\frac1{4u^4}+C = \boxed{-\frac1{4\ln^4(x)}+C}[/tex]

Answer:

4 days

Step-by-step explanation:

The time it would take the group of 40 workers to deliver the work, [tex]t_{estimated}[/tex] = 16 days

The number of workers that retired after 4 days = 10 workers

Therefore, the number of workers remaining = 40 - 10 = 30 workers

The time it would take 1 worker to do the work = The number of work days in the construction = 40 × 16 = 640 work days

The amount of work done in 4 days = 40 × 4 = 160 work days

The amount of work remaining after the elapsed 4 days = (640 - 160) work days = 480 work days

The number of days, n, it would take the remaining 30 workers to do the remaining work, is given as follows;

n = 480 work days/(30 workers) = 16 days

The actual total number of work days it took for the work to be delivered, [tex]t_{actual}[/tex] = 4 days + 16 days = 20 days

The number of days delay the construction will be delivered, [tex]t_{delay}[/tex], is given as follows = [tex]t_{actual}[/tex]

[tex]t_{delay}[/tex] = [tex]t_{actual}[/tex] - [tex]t_{estimated}[/tex]

∴ [tex]t_{delay}[/tex] = 20 days - 16 days = 4 days

The number of days delay the construction will be delivered,  [tex]t_{delay}[/tex] = 4 days

Answer:

w ≈ 33.9 in

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

w² + w² = 48²

2w² = 2304 ( divide both sides by 2 )

w² = 1152 ( take the square root of both sides )

w = [tex]\sqrt{1152}[/tex] ≈ 33.9 in ( to the nearest tenth )

Answer:

5.1 cm

Step-by-step explanation:

(Probable) Question;

Given a circle with center O and radius 2.4 cm. P is a point on the tangent that touches the circle at point Q, such that the length of the tangent from P to Q is 4.5 cm. Find the length of OP

The given parameters are;

The radius of the circle with enter at O, [tex]\overline{OQ}[/tex] = 2.4 cm

The length of the tangent from P to the circle at point Q, [tex]\overline{PQ}[/tex] = 4.5 cm

The length of OP = Required

By Pythagoras's theorem, we have;

[tex]\overline{OP}[/tex]² = [tex]\overline{OQ}[/tex]² + [tex]\overline{PQ}[/tex]²

∴ [tex]\overline{OP}[/tex]² = 2.4² + 4.5² = 26.01

[tex]\overline{OP}[/tex] = √26.01 = 5.1

The length of OP = 5.1 cm

Answer:

32:3/4

33:4/3

34:40

35:48

Answer:

It will take him 10 minutes to jog 1 mile.

Step-by-step explanation:

can i have brianliest please