Solve for x.

One side = 10
Another side = 9
One side = x
(It's a right triangle.)

Answer:

x=6+2√3 or x=6−2√3

Step-by-step explanation:

Let's solve your equation step-by-step by using completing the square.    

5x^2−57x=3x−120

Step 1: Subtract 3x from both sides.

5x^2−57x−3x=3x−120−3x

5x^2−60x=−120

Step 2: Since the coefficient of 5x^2 is 5, divide both sides by 5.

5x2−60x/5 = −120 /5

x2−12x=−24

Step 3: The coefficient of -12x is -12. Let b=-12.

Then we need to add (b/2)^2=36 to both sides to complete the square.

Add 36 to both sides.

x2−12x+36=−24+36

x2−12x+36=12

Step 4: Factor left side.

(x−6)2=12

Step 5: Take square root.

x−6=±√12

Step 6: Add 6 to both sides.

x−6+6=6±√12

x=6±√12

x=6+2√3 or x=6−2√3

Answer:

B) 144 cm^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of circle:

Answer:

3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.

Answer:

y = - 3, - 2, - 1

Step-by-step explanation:

Given

- 8 < 2y < 0 ( divide each interval by 2 )

- 4 < y < 0

Then y can equal - 3, - 2, - 1

Answer:

54 as a fraction of 60 is equivalent to 9/10

Step-by-step explanation:

54/x = 9/10

54 * 10 = x * 9

6*9 * 10 = x * 9

6 * 10 = x

x = 60

Answer:

42

hope this answer helps you!

Answer:

35

Step-by-step explanation:

525/75=7x5=35

The ratio remains constant, then the number of children in Eric's school who has red hair in color will be 35.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school.

Then the number of the children in Eric's school who has red hair will be

Let x be the number of the children. Then we have

[tex]\rm \dfrac{x}{525} = \dfrac{5}{75}\\\\x \ \ \ = \dfrac{525 \times 5}{75}\\\\x \ \ \ = 35[/tex]

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

Answer:

156 cm

Step-by-step explanation:

Answer: 25 in.

Step-by-step explanation:

Given

Arc length is 34 inches

The angle subtended by the arc is [tex]78^{\circ}[/tex]

arc length l subtending an angle [tex]\theta[/tex] is given by

[tex]\Rightarrow l=\dfrac{\theta }{360^{\circ}}\times 2\pi R[/tex]

Put the values

[tex]\Rightarrow 34=\dfrac{78^{\circ}}{360^{\circ}}\times 2\pi R\\\\\Rightarrow R=24.97\approx 25\ in.[/tex]

Answer:

5 and 3

Step-by-step explanation:

please mark me brainlist

Answer:

2 square root 14

Step-by-step explanation:

The square root of 56 is 2 square root 14. 56 = 4 * 14, and 4 can be square rooted into an integer.

Answer:

791.68

Step-by-step explanation:

have a nice day! :)

Answer:1

Which of the following functions has a line of symmetry of x = 2?

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

The lower base angles in an isosceles trapezoid are congruent , then

5x - 20 = 2x + 37 ( subtract 2x from both sides )

3x - 20 = 37 ( add 20 to both sides )

3x = 57 ( divide both sides by 3 )

x = 19

Answer:

3.15 cents

Step-by-step explanation:

So, lets go over all the information we know.

First off, we know that the cost of the item is 70 dollars.

Secondly, we know that the fee is 4.5% of 70 dollars.

Now, what is 4.5%?

Well, we know that 100% is qual to 1.

So lets divide 4.5 by 100, which is just moving the decimal point back by 2:

0.045

Now, the last thing to do is multiply 0.045 by 70.

0.045x70

=

3.15

So now we know the fee for a 70 dollar item is 3.15 dollars!

Hope this helps ;)

Answer:

not a right triangle

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 12 and 12² = 144

7² + 10² = 49 + 100 = 149 ≠ 144

Then triangle is not right

Answer:

Good for you

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

A polygon is a flat, two-dimensional shape with straight sides that is fully closed.The sides must be straight. Polygons may have any number of sides. A shape with curved sides is not a polygon.

Answer:

c

Step-by-step explanation:

10*10=100

100-78.54=21.46

so rounded answer is c or 21.5

goodluck on your test

Answer: Hello Luv......

C. 21.5

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

Answer:

∠ 1 = 99°, ∠ 2 = 81°, ∠ 4 = 81°

Step-by-step explanation:

∠ 1 and ∠ 3 are vertical angles and are congruent, then

∠ 1 = 99°

∠ 1 and ∠ 2 are adjacent angles and sum to 180° , so

∠ 2 = 180° - 99° = 81°

∠ 2 and ∠ 4 are vertical angles and are congruent, so

∠ 4 = 81°

Answer:

14.4

Step-by-step explanation:

16^2 - 7^2 = root of 207

Answer:

Question 2

Step-by-step explanation:

divdtihcdyuvftujvfujvfubf

Answer:

2

Step-by-step explanation:

x^2 - 3x = x ( x - 3 )

ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ

Answer:

Find the Slope = y2 - y1 / x2 - x1

 = 6 - 2 / 12 - -4

 = 4/16  

= 1/4  This is the slope, m.

2) Now, plug m and one point into: y - y1 = m (x - x1)

  y - 6 = 1/4 (x - 12)  Distribute the 1/4

 y - 6 = 1/4 * x - 3  Solve for y

y = 1/4*x - 3 + 6

y = 1/4*x + 3

Step-by-step explanation:

brainliest please?

The value of m for a line that passes through  (-24, m) and (12,11) and have a slope of 1 / 12 is  8.

The slope of a line is a measure of its steepness. The slope is rise divided by the run.

Therefore,

(-24, m)(12, 11)

slope = m = 1 / 12

slope = y₂ - y₁ / x₂ - x₁

Therefore,

x₁ = -24

x₂ = 12

y₁ = m

y₂ = 11

1 / 12 = 11 - m / 12 + 24

1 / 12 = 11 - m / 36

cross multiply

36 = 12(11 - m)

36 = 132 - 12m

36 - 132 = -12m

-96 = -12m

m = 96 / 12

m = 8

learn more on slope here:https://brainly.com/question/13929101

Answer:

Area of the rectangle: 24 cm²

Area of the circle: 380.13 cm²

Area of between the circle and the rectangle: 356.13 cm²

Step-by-step explanation:

Answer:

397.39

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}(4x + \frac{2}{5} ) = \frac{4}{5}\\2x + \frac{1}{5} = \frac{4}{5}\\\frac{10x + 1}{5} = \frac{4}{5}\\10x + 1= 4\\10x = 3\\x = \frac{3}{10}[/tex]

Answer:

x = 3/10

Step-by-step explanation:

Given equation,

→ 1/2(4x + 2/5) = 4/5

Let's solve the problem,

→ 1/2(4x + 2/5) = 4/5

→ 2x + (1/5) = 4/5

→ 2x = (4/5) - (1/5)

→ x = (3/5) × (1/2)

→ [ x = 3/10 ]

Thus, the value is 3/10.

Answer:

1) .11111

2) 5/9

3) 122/495

4) rational- .167167, 2/9

irrational- π, [tex]\sqrt{225}[/tex]

5) 5.75