Simplify.

3(x + 4)

12 x
7 x
3 x + 12
3( x + 4)

9514 1404 393

Answer:

  B.  h(x) = (x -4)² -1

Step-by-step explanation:

The translation moved the vertex from (0, 0) to (4, -1). The vertex form equation is ...

  h(x) = (x -h)² +k . . . . . quadratic with vertex (h, k)

Filling in the values of the vertex, we get ...

  h(x) = (x -4)² -1

Answer:

12,000

Step-by-step explanation:

one ton = 2000 pounds then multiply that by 6 and you have your answer

Answer:

35/26 = 1.346153846

Step-by-step explanation:

30

Factors of 30 are

3,5, and 6

Answer:

Simplifying

(7y + 27) + (15x + -5) = 125

Reorder the terms:

(27 + 7y) + (15x + -5) = 125

Remove parenthesis around (27 + 7y)

27 + 7y + (15x + -5) = 125

Reorder the terms:

27 + 7y + (-5 + 15x) = 125

Remove parenthesis around (-5 + 15x)

27 + 7y + -5 + 15x = 125

Reorder the terms:

27 + -5 + 15x + 7y = 125

Combine like terms: 27 + -5 = 22

22 + 15x + 7y = 125

Solving

22 + 15x + 7y = 125

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-22' to each side of the equation.

22 + 15x + -22 + 7y = 125 + -22

Reorder the terms:

22 + -22 + 15x + 7y = 125 + -22

Combine like terms: 22 + -22 = 0

0 + 15x + 7y = 125 + -22

15x + 7y = 125 + -22

Combine like terms: 125 + -22 = 103

15x + 7y = 103

Add '-7y' to each side of the equation.

15x + 7y + -7y = 103 + -7y

Combine like terms: 7y + -7y = 0

15x + 0 = 103 + -7y

15x = 103 + -7y

Divide each side by '15'.

x = 6.866666667 + -0.4666666667y

Simplifying

x = 6.866666667 + -0.4666666667y

Step-by-step explanation:

Because I know

Answer:

YAY

Step-by-step explanation:

Answer:

ayyy im late.. but anyway soo

Answer:

Different slope of 3

Step-by-step explanation:

Just did it

The equation of the dilated line is y = (3/5)x + (33/5), and it passes through the point (0,7).

To dilate the line y = 3x + 5 by a factor of 1/5 with (0,7) as the center of dilation, we can follow these steps:

Shift the line so that the center of dilation is at the origin. To do this, we subtract 7 from the y-intercept of the original line, giving us y = 3x - 2.

Apply the dilation factor to the line. To do this, we multiply the coordinates of each point on the line by 1/5. This gives us the new equation:

y = (3/5)x - (2/5)

Shift the line back to its original position. To do this, we add 7 to the y-intercept of the dilated line, giving us the final equation:

y = (3/5)x + (33/5)

Therefore, the equation of the dilated line is y = (3/5)x + (33/5), and it passes through the point (0,7).

To know more about dilation follow

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Answer: 56.72 m, 72.6 m

Step-by-step explanation:

Given

The initial angle of elevation is [tex]38^{\circ}[/tex]

after walking 25 m, the angle of elevation is [tex]50^{\circ}[/tex]

In [tex]\triangle ABD[/tex]

[tex]\Rightarrow \tan 38^{\circ}=\frac{h}{x+25}[/tex]

[tex]\Rightarrow h=\tan 38^{\circ}(x+25)\quad \ldots(i)[/tex]

In [tex]\triangle ABC[/tex]

[tex]\Rightarrow \tan 50^{\circ}=\frac{h}{x}\\\\\Rightarrow h=x\tan 50^{\circ}\quad \ldots(ii)[/tex]

From (i) and (ii)

[tex]\Rightarrow x\tan 50^{\circ}=(x+25)\tan 38^{\circ}\\\Rightarrow 1.191x-0.781x=25\times 0.781\\\Rightarrow 0.4104x=19.532\\\Rightarrow x=47.59\approx 47.6\ m[/tex]

[tex]\Rightarrow h=47.6\times \tan 50^{\circ}=56.72\ m[/tex]

The distance of tree bottom and Chidi's  is

[tex]\Rightarrow x+25=47.+25=72.6\ m[/tex]

Answer: 165 different combinations.

Step-by-step explanation:

Here we first need to identify the "selections", and then the number of options for each selection.

Here we have two selections, shorts, and sleeveless blouses.

For shorts, we have 15 options.

For sleeveless blouses, we have 11 options.

The total number of combinations will be equal to the product between the numbers of options for each selection, then the total number of combinations is:

C = 11*15 = 165

Answer/Step-by-step explanation:

✔️Reference angle = 50°

Opposite side length = y

Hypotenuse = 8 cm

Adjacent = x

Thus, applying CAH we can find x as shown below:

Cos 50 = adj/hyp

Cos 50 = x/8

8 × cos 50 = x

x = 5.1 (to 1 decimal point)

Thus, applying SOH, we can find y as shown below:

Sin 50 = opp/hyp

Sin 50 = y/8

8 × Sin 50 = y

y = 6.1 (to 1 decimal point)

Answer:

lee know

Step-by-step explanation:

The circle intersect the x-axis at (-17,0) and (17,0); and the circle intersect the y-axis at (-17,0) and (17,0).

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

As it is stated that the point (8,15) lies on the circle, while the center of the circle is at (0,0). Therefore, the line connecting the point and the center of the circle will be the radius of the circle. The length of the radius of the circle will be equal to,

[tex]\text{Length of the radius}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{Length of the radius}=\sqrt{(8-0)^2+(15-0)^2} = \sqrt{64+225} = 17[/tex]

Now, as we know that the circle is centerd at the origin therefore, it will intersect its axis at a length that is equal to its radius as shown below. Therefore, the circle intersect the x-axis at (-17,0) and (17,0); and the circle intersect the y-axis at (-17,0) and (17,0).

Learn more about Circle:

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there are 160 plastic cubes that can fit into the box.

Step-by-step explanation:

brainlist plz

Answer:

27

Step-by-step explanation:

I took the same test

Answer :

How do You find the right line of reflection? 

Step-by-step explanation:

The concept is the line y = x. (y, x). The point is on the line y = -x (-y, -x). Notice that each point of a reflected image is the same distance from the reflection line as the original figure's corresponding point. Between the original figure and its image, the line of reflection will be directly in the centre.

Answer: a

Step-by-step explanation:

did the test

Answers

quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent is called a kite.

Answer:

B

Step-by-step explanation:

Enter the following transactions into Richard’s checkbook register and state his ending balance:

Date

Type

Description

Amount

03/01

Check #204

Blue Sky Apartments

$455.00

03/05

DEP

Payroll automatic deposit

$390.36

03/08

Debit

Benny’s Hamburgers and Fries

$9.20

03/15

Check #205

Car payment

$251.59

03/19

DEP

Payroll automatic deposit

$390.36

a.

$715.79

b.

$1,009.81

c.

$780.72

d.

$880.24

Answer:b

Step-by-step explanation:

Answer:

34

=

x

+

y

34

−

x

=

y

565

=

10

x

+

25

y

Substitute the first equation

565

=

10

x

+

25

(

34

−

x

)

565

=

10

x

+

850

−

25

x

15

x

=

285

x

=

19 dimes

So,

34

−

19

=

15 quarters

Step-by-step explanation:

19 quarters is the answer.

Answer:

32

Step-by-step explanation:

Same factors meaning it is of the form

(x + a)(x + a) = (x + a)^2 = x^2 + 2ax + a^2

Take sqrt(256) = 16

a = 16, c = 2a = 32

Answer:

32

Step-by-step explanation:

Answer:

x = 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

x + 18/4 = 5

Step 2: Solve for x

Answer:

[tex]A = 89.1327[/tex]

Step-by-step explanation:

1. Approach

To solve this problem, one must divide the figure up into two smaller figures. Calculate the areas of these smaller figures, and then finally, add up the result. The given figure can be divided into a square and a semi-circle. One can solve for the area of the square using the formula ([tex]length*width=area[/tex]). One can solve for the area of the semicircle by solving for the area of the circle, and then dividing it by (2).

2. Solve for the area of the square

This is the easier part, all one has to do is multiply the length of the square by the width;

[tex]length * width = area\\\\8 * 8 = area\\\\64 = area[/tex]

3. Solve for the area of the semi-circle

The formula for the area of a circle is;

[tex](pi)r^2=A[/tex]

Where coefficient ([tex]pi[/tex]) represent the values ([tex]3.1415...[/tex]), parameter ([tex]r[/tex]) represent the radius of the circle, and ([tex]A[/tex]) represents the area.

In the problem, one is given the diameter of the semicircle. The diameter is the largest cord (a line that is drawn in a circle) in the circle, this cord will pass through the center of the circle. The radius is the distance from the center of the circle to the outer edge of the circle. The radius, by its definition will always be half of the diameter. It is given that the diameter of the given circle is ([tex]8[/tex]), therefore the radius is ([tex]4[/tex]), because ([tex]8[/tex]÷[tex]2=4[/tex]).

Substitute in the values and solve;

[tex](pi)(4)^2 = A\\\\3.1415*(16)=A\\\\50.2655=A[/tex]

Don't forget to divide this in half, because the given figure is a semi-circle, not a circle;

[tex]25.1327[/tex]

4. Putting it together

Now add the value for the area of the semi-circle, with the value for the area of the square;

[tex]square + semi-circle = Total\ area\\\\64 + 25.1327 = Total\ area\\\\89.1327 = Total\ area[/tex]

Answer:

3 times 4 over 5 equals 2.4

Step-by-step explanation:

Answer:

0.343

Step by step explanation:

 0. 3 4 3

8    2. 7 5 0

− 0      

 2 7    

− 2 4    

   3 5  

 − 3 2  

     3 0

   − 2 4

       6

Answer:

62 inches

Step-by-step explanation:

58 + 4 = 62 inches

Answer:

400

Step-by-step explanation:

u = 50 km/hr

v = 100 km/hr

d = 300 km

b = 200 km/hr

= b*d/(u+v)  

=  200* 300/(50+100)  

= 400

Answer: it’s x^3-5x^2+15x-88+390/x+5!

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

5/(4%)=125