What is the slope of the line?

Answer:

6 and 2/5

Step-by-step explanation:

20% of 32 is 6.4

9514 1404 393

Answer:

  f(g(x)) = 50x² +140x +93

Step-by-step explanation:

Put the function argument in place of x and simplify.

  f(g(x)) = f(5x+7) = 2(5x+7)² -5

  = 2(25x² +70x +49) -5

  f(g(x)) = 50x² +140x +93

_____

We took advantage of the knowledge that ...

  (a + b)² = a² +2ab +b² . . . . . where a=5x and b=7

Answer:

[tex]0.6x - 0.1x = 7 + 5 \\ 0.5x = 12 \\ x = \frac{12}{0.5} = 24[/tex]

Answer:

[tex]8x^{2}y^{4}[/tex]         Answer B and C

Step-by-step explanation:

When a variable gets squared it looks like this (the exponent gets cut in half):

[tex]\sqrt{x^{2} }[/tex]=[tex]x[/tex]

So The square root of 64 is 8:

8

Then the next two exponents cut in half:

[tex]x^{2} y^{4}[/tex]

Then we put it back together:

[tex]8x^{2}y^{4}[/tex]

Letter B is the correct choice along with C because of distributive Property.

Answer:

c=72

Step-by-step explanation:

8

=

9

8

⋅

8

=

8

⋅

9

Answer:

91

Step-by-step explanation:

For questions like these, you multiply the denominator times what it equals

Like in this case you do 8x9

I hope this helps!

Given:

A line passes through the origin and the point (-2,1).

To find:

The slope of the line.

Solution:

If a line passes though two point, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that a line passes through the origin, .i.e., (0,0) and the point (-2,1). So, the slope of the line is

[tex]m=\dfrac{1-0}{-2-0}[/tex]

[tex]m=\dfrac{1}{-2}[/tex]

[tex]m=-\dfrac{1}{2}[/tex]

Therefore, the slope of the line is [tex]-\dfrac{1}{2}[/tex].

Answer: 6.7inch

Step-by-step explanation:

From the question, we are informed that Emma made a scale model of the Sam Houston's monument and that the monument's actual height is 67 ft tall but Emma is using a scale where 1 inch is 10 ft.

The height of Emma's model will therefore be 67ft divided by 10 since he's using a scale of 1:10. This will be:

= 67/10

= 6.7inch

Answer:

-5÷17, -5/17, 5/-17

Step-by-step explanation:

Answer:

-5/17, 5/(-17), 5/-17 (sorry if they're wrong i'm doing my homework at the same time.)

Step-by-step explanation:

Answer:

(a)

[tex]b = 6[/tex] and [tex]a = 5[/tex]

(b) [tex]x = 1[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,2)[/tex]

[tex](x_2,y_2) = (4,b)[/tex]

[tex](x_3,y_3) = (a,8)[/tex]

[tex](x_4,y_4) = (6,10)[/tex]

See attachment

Solving (a): The values of a and b

First, calculate the slope of the line:

[tex]m = \frac{y_c - y_d}{x_c - x_d}[/tex]

Let c = 4 and d = 1

[tex]m = \frac{y_4 - y_1}{x_4 - x_1}[/tex]

So, we have:

[tex]m = \frac{10 - 2}{6 - 2}[/tex]

[tex]m = \frac{8}{4}[/tex]

[tex]m = 2[/tex]

To solve for the value of b, we apply slope formula

[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]

Let c = 2 and d = 1

So, we have:

[tex]\frac{y_2 - y_1}{x_2 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_2,y_2) = (4,b)[/tex]

[tex]\frac{b - 2}{2} = 2[/tex]

Multiply both sides by 2

[tex]2 * \frac{b - 2}{2} = 2 * 2[/tex]

[tex]b - 2 = 4[/tex]

Add 2 to both sides

[tex]b - 2 +2= 4 + 2[/tex]

[tex]b = 6[/tex]

To solve for the value of a, we apply slope formula

[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]

Let c = 3 and d = 1

[tex]\frac{y_3 - y_1}{x_3 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_3,y_3) = (a,8)[/tex]

[tex]\frac{8 - 2}{a- 2} = 2[/tex]

[tex]\frac{6}{a- 2} = 2[/tex]

Cross Multiply

[tex]2(a-2) = 6[/tex]

Open bracket

[tex]2a-4 = 6[/tex]

Add 4 to both sides

[tex]2a-4+4 = 6+4[/tex]

[tex]2a= 10[/tex]

Divide both sides by 2

[tex]a = 5[/tex]

Solving (b): The value of y when x = 0.

This point is represented as: [tex](x_5,y_5) = (x,0)[/tex]

Apply slope formula

[tex]\frac{y_5 - y_1}{x_5 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex]   [tex](x_5,y_5) = (x,0)[/tex]

[tex]\frac{0 - 2}{x - 2} = 2[/tex]

[tex]\frac{- 2}{x - 2} = 2[/tex]

[tex]-\frac{2}{x - 2} = 2[/tex]

Cross Multiply

[tex]-2 = 2 * (x - 2)[/tex]

[tex]-2 = 2 x - 4[/tex]

Collect Like Terms

[tex]4 - 2 = 2x[/tex]

[tex]2 = 2x[/tex]

Divide both sides by 2

[tex]1 = x[/tex]

[tex]x = 1[/tex]

Answer: I got -1, I honest don’t know if i was doing it right so here is my explanation

Step-by-step explanation:

I distributed 2(4x-5)

5x+3x=20x-10-2

Sub 3x for 20x

5x=17x-10-2

Sub -10-2

5x=17x-12

Sub 5x-17x

12x=-12

Divide

Equals -1

Sry it took me a bite

Answer:

1.2192m

Step-by-step explanation:

Answer:

1 = 50°,  2 = 130°,  3 = 50°,  4 = 130°,  5 = 40°,  6 = 140°,  7 = 90°,  8 = 140°

Step-by-step explanation:

The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.

Angle 1: 180 - 90 - 40 = 50°

Angle 2: 180 - 50 = 130°

Angle 3: 180 - 130 = 50°

Angle 4: 180 - 50 = 130°

Angle 5: 180 - 90 - 50 = 40°

Angle 6: 180 - 40 = 140°

Angle 7: 180 - 90 = 90°

Angle 8: 180 - 40 = 140°

It's a little complicated, but I hope this helps!

Answer:

23 in

Step-by-step explanation:

We know the area of the circular disc is A = πr² where r = radius and π = 3.14.

So, r = √(A/π)

Now, if A = 1650 square inches,

r = √(A/π)

= √(1650 in²/π)

= √525.48 in²

= 22.92 in

≅ 22.9 in

Also, if A = 1700 square inches,

r = √(A/π)

= √(1700 in²/π)

= √541.40 in²

= 23.27 in

≅ 23.3 in

If the area is between 1650 in² and 1700 in², that is 1650 in² < A < 1700 in²

then, the radius is between 22.9 in < r < 23.3 in.

Since the left and right side of the inequality are approximately 23 in, the radius of the circular disc is 23 in.

The length of the radius of the circular disc is approximately is 23 in.

Hence, option A)23 in is the correct answer.

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area of a circle is expressed mathematically as;

A = πr²

Where r is radius and π is constant pi ( π = 3.14 )

Now, if the area of the circular disc is 1650in², the radius r will be;

A = πr²

1650in² = 3.14 × r²

r² = 1650in² / 3.14

r² = 525.4777in²

r = √( 525.4777in² )

r = 22.9in

Also, if the area of the circular disc is 1700in², the radius r will be;

A = πr²

1700in² = 3.14 × r²

r² = 1700in² / 3.14

r² = 541.40127in²

r = √( 541.40127in² )

r = 23.3in

Next we take the average of the two radii

Radius = ( 22.9in + 23.3in )/2 = 46.2/2 = 23.1 ≈ 23 in

The length of the radius of the circular disc is approximately is 23 in.

Hence, option A)23 in is the correct answer.

Learn more about circles here: https://brainly.com/question/11952845

#SPJ5

Answer: he baked 69 muffins

Step-by-step explanation:

Answer:

[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]

[tex]a\ne 0; b \ne 0[/tex]

Required

Evaluate

[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]

Apply the following law of indices:

[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]

So, the expression becomes:

[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2-(-4)}[/tex]

Remove brackets

[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2+4}[/tex]

[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]

Answer:

D. a^3 b^4 / ab^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

first question is -1

and i think the sec option is  13/3+y/3 i think im wrong on the sec option

Answer:

y = 23

x = 28

Step-by-step explanation:

Find y first.

3y + 5y - 4 = 180                     The two angles are supplementary if the all the lines are parallel.  Combine the left side.

8y - 4 = 180                              Add 4 to both sides

8y - 4 + 4 = 180 + 4

8y = 184                                   Divide both sides by 8

y = 23

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

Now if the lines are parallel, then 3y = 2x + 13

But we already know y

3*23 = 2x + 13                         Do the multiplication

69 = 2x + 13                             Subtract 13

56 = 2x                                    Divide by 2

x = 56/2

x = 28

Answer:

y = 23

x = 28

Step-by-step explanation:

Shoooooot i am so late with this answer, so so sorry haha-

and i'm no gonna do the explanation because the guy above me did a fairly well explanation of how i solve them too.

uhm, have a good day!

9514 1404 393

Answer:

  250,000

Step-by-step explanation:

The thousands digit is more than 4, so the ten-thousands digit is increased by 1 before digits to its right are replaced by zeros. The rounded number is ...

  250,000

Answer is : Step-by-step explanation:

Given Find the smallest non-zero whole number which can be multiplied by 112 to give a square number and a cube number.

So cube root of 21,952 will be 28.

Reference link will be.

brainly.in/question/4396403.

hope it helps

Answer:

176.

Step-by-step explanation:

112 = 2*2*2*2*7

For a cube number there must be 3 or a multiple of 3 of each factor.

So we multiply  by 2*2 and 7 * 7 to give 2^6 * 7^3 which is 21952.

The answer is 4*49

= 176.

Checking that 21952 is a cube:

- the cube root is 28,

Answer:

I don't believe there is enough information to answer the question.

Step-by-step explanation:

Either Mr. Cooper buys two 4 for 19$ specials for 38$ and has two left over, or he buys one special and then buys two individual fried chicken meals. The question does not tell us how much an individual chicken meal costs.

Answer:

$28.50

Step-by-step explanation:

19/4=4.75

4.75•6=28.50

Answer:

d= 8 t

Step-by-step explanation:

In 1 hour 30 minutes it ran for 12 miles.

So, time t =1.5 hours(Because 1 hour 30 minutes)

distance d =12

We know distance d= rate 'r' * time 't'.

So, using given information , find the rate

12= r *1.5

Divide both sides by 1.5

8=r

So,  equation would be d =8 t.

Where 't' is in hours.

Answer:

1920

Step-by-step explanation:

Each time you multiply by to 6 times. 30 does not count as a year.

Answer:

Step-by-step explanation:

Answer:

a). m∠a = 62°

b). m∠b = 118°

Step-by-step explanation:

a). Since, an angle inscribed in a semicircle is a right angle,

  m∠ACB = 90°

  By triangle sum theorem in ΔABC,

  m∠CAB + m∠ACB + m∠ABC = 180°

  28° + 90° + m∠ABC = 180°

  118° + m∠ABC = 180°

  m∠ABC = 180°- 118°

  a = 62°

b). Since, quadrilateral ABCD is a cyclic quadrilateral,

   m∠ADC + m∠ABC = 180°

   b + a = 180°

   b + 62° = 180°

   b = 180° - 62°

   b = 118°

Answer:

19.4

Step-by-step explanation:

16^2+11^2=377

then square 377 which will equal to

19.416 which can be rounded up to 19.4

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

a = 2 ; b = 4

4a + 2b² - 2(a -3b) = 4*2 + 2(4)² - 2 (2 - 3*4)

                             = 4*2 + 2*16 - 2(2 -12)

                            = 4*2 + 2*16 - 2* (-10)

                             = 8 + 32 + 20

                             = 60

Answer: -8

Step-by-step explanation:

Solve for x  

5 (x − 2) = 3 (x − 4) − 14  

5x − 10 = 3 (x − 4) − 14

5x − 10 = 3x − 12 − 14

5x − 10 − 3x  = −26

2x  = −26 + 10

2x  = −16

x = −8

Answer:

answer of this equation is (-8)

:-))