1. x^2 + 6x + 8 = 0

2. x^2 + 10x + 21 + 0

3. X^2 + 9x + 18 = 0

Answer:

x = 7

Step-by-step explanation:

you can create a proportion:

PT / ST =  PQ / RQ

36 / 30 = (5x+13) / (6x-2)

cross-multiply:

36(6x-2) = 30(5x+13)

distribute:

216x - 72 = 150x + 390

216x = 150x + 462

66x = 462

x = 7

The value of x for the given triangle sides is x = 7.

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.

Given that the side PQ = 5x + 13 and the QR is 6x- 2. The value of x will be calculated by the concept of similarity.

PT / ST =  PQ / RQ

36 / 30 = (5x+13) / (6x-2)

Cross-multiply the equations,

36(6x-2) = 30(5x+13)

Distribute:

216x - 72 = 150x + 390

216x = 150x + 462

66x = 462

x = 7

To know more about geometry follow

https://brainly.com/question/28832881

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Answer:

(100-12) - 3

Step-by-step explanation:

we dont know what the cost of the shirts are so that one should be it.

Answer:

m/_a = 8 , m/_b= 3, m/_c = 4

The first one & the second one

Answer:

Both first and second one are not true.

Step-by-step explanation:

The first one translates to "101 is less than 100". This statement is false.

Second one translates to " 101 is equal to 0". Obviously, this isn't true.

Hope this helps! Brainliest would be appreciated!!

Answer:

Circumference of a circle

Answer:

parallelogram is the answer

Answer:

Step-by-step explanation:

The quadrilateral is a parallelogram ( more precisely is the rhombus )

Answer:

1) the baseball will take approx 0.514 seconds to move 18 meters.

35/1 = 18/x

x = 0.514s

2)  the car's average speed is 60 km per hour.

870/14.5 = x/1

x = 60h

Answer:

135%

Step-by-step explanation:

Answer:16.50

Step-by-step explanation: hope it helps

Answer:

16.50

Step-by-step explanation:

Answer:

$0.73

Step-by-step explanation:

Let's say an orange costs O dollars and a grapefuit costs G dollars.

We add G dollars for each grapefuit and O dollars for each orange, so, for example, 12 grapefuit = G added 12 times = 12 *G = 12G

a.

6G = 10O

12G + 24O = 12

6 grapefuit = 6G = 10 oranges = 10O

b.

6G = 10O

12G + 24O = 12

We can solve this using substitution. First, we can solve the first equation for G. After that, we can plug that into the second to find O and go from there.

6G = 10O

divide both sides by 6 to remove the coefficient for G

G = (10/6)O

plug that into the second equation

12*(10/6)O + 24O = 12

20O + 24O = 12

44O = 12

divide both sides by 44 to solve for O

O=12/44 = 6/22

6G = 10O

6G = 60/22

divide both sides by 6 to solve for G

10/22 = G

c.

These solutions mean that an orange (O) costs 6/22 dollars and a grapefuit (G) costs 10/22, so 1O + 1G = 16/22 dollars ≈ $0.73. Note that O and G are kept as fractions because they are not exact dollar amounts, e.g. 0.27 repreating

The store owner is adding cost, so we will use addition. The answers should be as follows:

[] c + $3.49 = $9.84

[] c = $6.35 <- subtract $3.49 from both sides of the equation

[] Solution of answer represents the old cost of the toy.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

is this a questions or no?

Step-by-step explanation:

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

the answer is 4

Answer:

He earn approximately $2.14 everyday

Step-by-step explanation:

hope this helps :3

The answer is 4+5+6=15.Hope that helps. :)

Answer:

Step-by-step explanation:

Let the first number be x,

The second number (since it is consecutive) will be = x + 1

The third number (since it is right after the second) = (x+1) + 1 = x + 2

x + x + 1 + x + 2 = 15

3x + 3 = 15

3x = 15 - 3

3x = 12

x = 12/3 = 4

If the first number = 4,

Second number will be = 5 [(x+1) = 4+1]

Third number will be = 6 [(x+2) = 4 + 2]

Answer:

Step-by-step explanation:

5

+

1

=

3

+

7

5x+1=3x+7

Solve

1

Subtract  

1

1

from both sides of the equation

5

+

1

=

3

+

7

5x+1=3x+7

5

+

1

−

1

=

3

+

7

−

1

5x+1{\color{#c92786}{-1}}=3x+7{\color{#c92786}{-1}}

2

Simplify

Subtract the numbers

Subtract the numbers

5

=

3

+

6

5x=3x+6

3

Subtract  

3

3x

from both sides of the equation

5

=

3

+

6

5x=3x+6

5

−

3

=

3

+

6

−

3

5x{\color{#c92786}{-3x}}=3x+6{\color{#c92786}{-3x}}

4

Simplify

Combine like terms

Combine like terms

2

=

6

2x=6

5

Divide both sides of the equation by the same term

2

=

6

2x=6

2

2

=

6

2

\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}

6

Simplify

Cancel terms that are in both the numerator and denominator

Solution

=

3

Answer:

The answer is 3.

Step-by-step explanation:

[tex]f(x) =-3\\\\\implies 3x^3= -3\\\\\implies x^3 = -1\\\\\implies x = \sqrt[3]{-1} ~~\text{or}~~ x= \sqrt[3]{-1} \left(\dfrac{-1 \pm i\sqrt 3}2\right)\\[/tex]

[tex]\text{For x} \in \mathbb{R}, ~\text{the answer is x} = \sqrt[3]{-1} = -1[/tex]

Answer:

2/9

Step-by-step explanation:

Answer:

i think B is answer

Step-by-step explanation:

0.5x+9 = -3x+2

x = -2

y = -3x+2

y = -3(-2) +2

y = 6+2

y = 8

(x,y) = (-2,8)

Answer:

A:B::2:3

123:x

set up as fractions:

[tex]\frac{2}{3}[/tex]   [tex]\frac{120}{x}[/tex]   120*3=360

360/2=180

Betty Received $180

Answer:i dont know 1

2. variable

3. terms

Step-by-step explanation:

Step-by-step explanation:The second way of approximating a square root is to use a calculator. Most calculators have a radical sign on them. To find the square root of a number, we enter the radical sign, then the value and press enter. This will give us a decimal approximation of the square root.

Answer:

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{4}[/tex] = [tex]\frac{8+3}{12}[/tex] = [tex]\frac{11}{12}[/tex] ≈ 1

The correct answer is the last one (C)

Answer:

18x² - 24x + 9

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x) , that is

f3x - 2)

= 2(3x - 2)²+ 1 ← expand factor using FOIL

= 2(9x² - 12x + 4) + 1 ← distribute parenthesis by 2

= 18x² - 24x + 8 + 1

= 18x² - 24x + 9

Answer:

The value of n is 5.

Step-by-step explanation:

Concept :

Here, we will use the below following steps to find a solution using the transposition method:

Solution :

By using the transposition method. we get,

[tex]{\dashrightarrow{\tt{3n + 2 = 17}}}[/tex]

[tex]{\dashrightarrow{\tt{3n= 17 - 2}}}[/tex]

[tex]{\dashrightarrow{\tt{3n= 15}}}[/tex]

[tex]{\dashrightarrow{\tt{n= 15 \div 3}}}[/tex]

[tex]{\dashrightarrow{\tt{n= \dfrac{15}{3}}}}[/tex]

[tex]{\dashrightarrow{\tt{n= \cancel{\dfrac{15}{3}}}}}[/tex]

[tex]{\dashrightarrow{\underline{\boxed{\tt{\red{n= 5}}}}}}[/tex]

Hence, the value of n is 5.

[tex]\rule{300}{1.5}[/tex]

Solve : 3n + 2 = 17

n = 5

=> 3n + 2 = 17

=> 3n = 17-2

=> 3n = 15

=> n = 15/3

=> n = 5

Answer:

105°.

Step-by-step explanation:

1) to calculate m(∠ABC): m(∠ABC)=180-m(∠BAC)-m(∠(ACB)=180-90-65=25°;

2) note, m(∠ABC)=m∠(ABD)=25°, then it is possible

3) to calculate m(∠BAD): m(∠BAD)=180-m(∠ABD)-m(∠ADB)=180-25-50=105°.