Solving equations:

(a) 5x - 9 = 3x + 3

(b) x + 6 = 34 - x

Answer:

I guess that we have the equation:

(1/3)^2 + 3^2 =

And we want to solve it.

Here just remember that:

3^2 = 3*3 = 9

then:

(1/3)^2 = (1/3)*(1/3) = 1/9

replacing these in the expression, we get:

(1/3)^2 + 3^2 = 1/9 + 9

If we want to write this as a single fraction, we can rewrite:

1/9 + 9 = 1/9 + (9/9)*9

           = 1/9 + 81/9 = (1 + 81)/9 = 82/9

The solution to the equation is 82/9. The equation is: [tex](1/3)^2 + 3^2.[/tex]Calculate the square of [tex](1/3): (1/3)^2 = 1/9[/tex]

Calculate 3 squared:

[tex]3^2 = 9[/tex]

Now, substitute these values back into the original equation:

[tex](1/3)^2 + 3^2 = 1/9 + 9[/tex]

To add these fractions, you need a common denominator. In this case, the common denominator is 9:

1/9 + 81/9 = (1 + 81)/9 = 82/9

So, the solution to the equation is 82/9.

To know more about equation:

https://brainly.com/question/14603452

#SPJ3

Complete question is:

Solve the equation: (1/3)^2 + 3^2 =

Answer:

-68ft, or 68ft below sea level

Step-by-step explanation:

-72+4=-68

Answer:

108 in.

Step-by-step explanation:

SA = 2(lw + wh + lh)

SA = 2((6)(4) + (4)(3) + (6)(3)

SA = 2(24) + (12) + (18)

SA = 2(54)

SA = 108 in.

Answer:

108

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

4:5

4 x 3 = 12 girls

5 x 3 = 15 boys

12:15

Answer:

D. 15

Step-by-step explanation:

4:5

4/5×3/3=12/15

12/15.....12 girls, 15 boys

:) ur welcome

Step-by-step explanation:

câu trả lời là trong hình ảnh trên

Answer:

(i) Steps of Construction :

(i) Draw a line segment AB = 7 cm.

(ii) At B, draw a ray making an angle of 60° and cut off BC = 5 cm

(iii) Join AC,

∆ABC is the required triangle.

(ii) Steps of Construction :

(i) Draw a line segment BC = 6 cm.

(ii) At C, draw a ray making an angle of 75° and cut off CA = 5.7 cm.

(iii) Join AB

∆ ABC is the required triangle

(iii) Steps of Construction :

(i) Draw a line segment AB = 6.5 cm

(ii) At A, draw a ray making an angle of 45° and cut off AC = 5.8 cm

(iii) Join CB.

∆ ABC is the required triangle.

3514 1404 393

Answer:

  (d)  8 cm and 9 cm

Step-by-step explanation:

The sum of the short sides must exceed (not equal) the long side. The only proposed measures that do that are ...

  8 cm and 9 cm

Answer:

Step-by-step explanation:

#CARRYONLEARNING

Answer:

$24

Step-by-step explanation:

original price of a dress = $30

discount = 20%

discount amount = discount% of original price

=20/100 * 30

=30/5

=$6

price that consumer will pay after discount = $30 - $6

=$24

Step-by-step explanation:

6$

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Answer:

GL = 38

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

GL = 2 LK = 2 × 19 = 38

Answer:

the centroid has special featuresfor this

Step-by-step explanation:

the rate of long must be like this [GL]=2[LK]

we can say that our answer is 38 easily

Answer:

c. 113 m^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

Using 3.14 as an approximation for pi

A = 3.14 ( 6)^2

A = 3.14 *36

A =113.04

Answer:

85 + 12w =360

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

By using geometric mean theorem in the given right angle triangle RST,

[tex]\frac{RT}{ST}=\frac{ST}{VT}[/tex]

[tex]\frac{RV+TV}{ST}=\frac{ST}{TV}[/tex]

[tex]\frac{4.1+10.2}{ST}=\frac{ST}{10.2}[/tex]

ST² = 10.2 × 14.3

ST = [tex]\sqrt{145.86}[/tex]

ST = 12.077

ST ≈ 12.1

Therefore, Option B will be the correct option.

Answer:

x = 9

Step-by-step explanation:

Given 2 secants from an external point to the circle , then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

3(3 + x) = 4(4 + 5) ← distribute parenthesis on both sides

9 + 3x = 16 + 20 = 36 ( subtract 9 from both sides )

3x = 27 ( divide both sides by 3 )

x = 9

Answer:

The height is 10inches.

Step-by-step explanation:

[tex]A = \frac{1}{2}bh\\\\2A = 2 \times \frac{1}{2} bh \ \ \ \ \ \ \ [ \ multiply \ both \ sides by \ 2 ] \\\\2A = bh\\\\\frac{2A}{b} = \frac{bh}{b} \ \ \ \ \ \ \ \ [ \ dividng \ both \ sides \ by \ b ] \\\\\frac{2A}{b} = h[/tex]

[tex]\frac{2 \times 60 } {12} = h\\\\\frac{120}{12} = h\\\\10 = h[/tex]

Answer:

x = 15.8

Step-by-step explanation:

let the number be x

according to the question equation is

x*5 - 2 = 77

5x - 2 = 17

5x = 77 + 2

5x = 79

x = 79/5

x = 15.8

Answer:

5x - 2 = 77

x = 15.8

Step-by-step explanation:

a number - x

times 5 - 5x

minus 2 - 5x - 2

equals 77 - 5x - 2 = 77

77 + 2 = 79

79 ÷ 5 = 15.8

5(15.8) - 2 = 77

Answer:

f(4.7) = 13.1

Step-by-step explanation:

essentially this is just 3x-1

plug in 4.7 for x... 3*4.7 = 14.1 then subtract 1 =

13.1

the issue is the || absolute value...

if the "X" x value is NEGATIVE in the problem, just remove the negative sign...

in other words f(-4.7)  = 3(4.7) - 1

Answer:

13.1

Step-by-step explanation:

f(x) = 3|x|- 1, x= 4.7

f(4.7) = 3|4.7|- 1 *replace x with 4.7

= 14.1 - 1. *multiply 3 x 4.7

= 13.1. *subtract 1 from. 14.1

Answer:

I would say pretty fast lol It would be traveling about somewhere beetween 30 to 50 mph because it would have hit terminal velocity at that point.

Answer:

Step-by-step explanation:

[tex](cscx)^2-1=\frac{1}{sin^2 x} -1\\=\frac{1-sin^2x}{sin^2x} \\=\frac{cos^2x}{sin^2x} \\=(cotx)^2[/tex]

Answer:

None Of the Above.

Step-by-step explanation:

As we know that the general equation of circle is

( x - h )^2 + ( y - k )^2 = r^2

putting h=5 and k= 4 and r= 5

x² + 25 - 10x + y² +16 - 8y = 25

x² + y² - 10x - 8y + 16 = 0 is the answer.

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Answer:

A x >= 0

Step-by-step explanation:

a function is a defined mathematical operation (or a sequence of operations) that uses input values (typically called "x") and calculates the corresponding results (typically called "y").

so, y = f(x)

and (x,y) are then usually the coordinates on the grid.

the domain is the range or interval of numbers the function is using (x) to create results (y).

so, look at the graph !

for what values of x do you see the functional line drawn ?

that means, the functional line goes along only what part of the x-axis ?

I see it starts at x=0 and then continues all the way to the right and clearly further.

for me that means f(x) calculates values for every positive x we can think of. and including 0.

it does not do anything for any negative x-values.

so, clearly answer A (x>=0) is right.

Answer:

Girls: 50

Boys: 36

A) 60°

Step-by-step explanation:

86-14=72

72÷2=36

Girls=36+14=50

Boys=36

115+115+70=300

360-300=60°

Answer:

36 boys and 50 girls

the remaining angle measures 60°

Step-by-step explanation:

x = boy count

x + 14 = girl

x + x + 14 = 86

2x + 14 = 86

2x = 72

x = 36

x + 14 = 50

36 boys and 50 girls

the 4 angles of a quadrilateral = 360°

115° + 115° + 70° + x = 360°

300 + x = 360°

x = 360 - 300

x = 60°

The remaining angle measures 60°

Answer:

A =153.86 ft^2

Step-by-step explanation:

First we need to find the radius

f = d/2 = 14/2 = 7

A = pi r^2

A = 3.14 ( 7)^2

A = 3.14 * 49

A =153.86 ft^2

Answer:

tringlae mixed witha football goal take the fool goal out and go from there

Step-by-step explanation:

Answer:

[tex]\displaystyle r = 6 \ cm[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3}r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

V = 120π cm³

h = 10 cm

Step 2: Solve for r

Answer:

Radius of cone is 6 cm

Step-by-step explanation:

[tex]\sf\small\underline\purple{Given:-}[/tex]

[tex]\sf{\leadsto Volume\:_{(cone)}=120π \:cm^3}[/tex]

[tex]\sf{\leadsto \: Height\:_{(cone)}=10 cm}[/tex]

[tex]\sf\small\underline\purple{To\: Find:-}[/tex]

[tex]\sf{\leadsto Radius\:_{(cone)}=?}[/tex]

[tex]\sf\small\underline\purple{Solution:-}[/tex]

To calculate the radius of cone . Simply by applying formula of volume of cone. As given in the question that height is 10 cm and it's volume is 120 π cm³.

[tex]\sf\small\underline\purple{Calculation\: begin:-}[/tex]

[tex]\sf{\leadsto Volume\:_{(cone)}=\dfrac{1}{3}\pi\:r^2\:h}[/tex]

[tex] \small \sf \leadsto volume \: of \: cone \: = \frac{1}{3} \pi \times r {}^{2} h \\ [/tex]

[tex] \small \sf \leadsto \: 120 π cm³ \: = \frac{1}{3} \times\pi r {}^{2} \times 10cm \\[/tex]

[tex] \small \sf \leadsto \: 120 π cm³ \: = \frac{10 \: \pi\: cm}{3} \: r {}^{2}[/tex]

[tex] \small \sf \leadsto \frac{ 120\pi \: cm {}^{3} \times 3}{10\pi \: cm} \: = r {}^{2} \\ \\ [/tex]

[tex] \small \sf \leadsto \frac{360\pi cm {}^{3} }{10\pi \: cm} = \: r {}^{2} \\ [/tex]

[tex]\small \sf \leadsto 36 \:cm {}^{2} = r {}^{2} [/tex]

[tex]\small \sf \leadsto \sqrt{36 \: cm {}^{2} } = \sqrt{r {}^{2} } [/tex]

[tex]\small \sf \leadsto6cm = r[/tex]

Answer:

Range: [-7, 8]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:

Range: [-7, 8]

Answer:

Option D

Step-by-step explanation:

If two triangles are said to be congruent then they have exactly the same three sides and the same three angles.

Since the option D indicates that all the three sides are equal (represented as SSS), Hence, it is the right answer

Answer:

congruent SAS

Step-by-step explanation:

Answer:

22.1

Step-by-step explanation:

If the triangle is similar then the side lengths have common ratios

*Create ratio to solve for RS*

47.8/13 = RS/6

Now solve for RS

simplify

47/13 = 3.677

We now have 3.677 = RS/6

Multiply each side by 6

3.677 * 6 = 22.1

RS/6 * 6 = RS

we're left with RS = 22.1

Answer:  5/log (8) - 8/3

Step-by-step explanation:

Answer:

A:2^5=3x + 8 /x=8/The next part is B.x3=64 /x=4

Step-by-step explanation:

I just did it hope this helps