What is the exact value?

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

Answer:

uhm no

Step-by-step explanation:

Answer:

arc 1 = 108 degrees

angle 2 = 54 degrees

Step-by-step explanation:

180 - 72 = 108   (half circle -72)

draw a line from center of circle to tangent point.

this line is perpendicular to the tangent line.

all radii are equal.

then, triangle made with the new line is isosceles with two equal angles.

those angles are 36 degrees each  (180 - 108 = 72, 72/2 = 36)

line drawn from center to tangent point is 90 degrees so:

90 - 36 = 54 degrees

Answer:

5.06

Step-by-step explanation:

hope this helps!

Answer:

24

Step-by-step explanation:

Answer: x=1/384

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

1.1(1.8)(2.5)=4.95

Answer:

Step-by-step explanation:

The lines are parallel to one another.

A linear system of equations has no solution if the graphs are parallel and the two lines never meet.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

There can be one solution to a system of two linear equations, an infinite number of solutions, or no solutions at all. The number of solutions to a system of equations can be used to categorize it.

A system is deemed consistent if there is at least one solution to the problem. A consistent system is said to be independent if it only has one possible outcome.

Thus, a linear system of equations has no solution if the graphs are parallel and the two lines never meet.

Learn more about the equation here,

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Answer:

x=5/3 or 2

Step-by-step explanation:

Answer:

81 square inches

Step-by-step explanation:

area of a square= s^2

Answer:

x=7

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

1.) Subtract 2.3 from both sides makeing it 6.4x= 44.8

2.) DIvide 6.4 on both sides making it X=7

Answer:

Step-by-step explanation:

we have a right triangle,

to find out the hypotenuse, h

H^2=13^2+4^2

H^2=169+8=177

The required equation would be x² = 13² + 4² which is determined by Pythagoras theorem that is used to the length of the Ladder needed to reach the window.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Pythagoras theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

We have given that the window is 13ft above the ground and the base of the ladder is 4ft from the building

As per the condition, We have a right triangle.

To find out the hypotenuse x

By Pythagoras theorem,

⇒ x² = 13² + 4²

⇒ x² = 169 + 8

Therefore, the equation would be x² = 13² + 4²which is used to determine the length of the Ladder needed to reach the window.

Hence, the correct answer would be an option (A).

Learn more about Pythagoras's theorem here:

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Answer:

Step-by-step explanation:

6:16 simplifies to 3:8, not to 2:8. And 24/48 simplifies to 1/2, not to 6:16.

I would appreciate it if you would please mark me brainliest! Have a blessed day!

Half the perimeter is the length + the width.

Let the width = x

The length is x + 4. ( 4 feet more than the width)

Now you have x + x + 4 = 20

Combine like terms:

2x + 4 = 20

Subtract 4 from both sides:

2x = 16

Divide both sides by 2:

X = 8

The width is 8 feet

The length is 8 + 4 = 12 feet

Answer:12

Step-by-step explanation:

because im smart

Answer:

x ≥ -1

y < 3

Step-by-step explanation:

Answer:

Inequality 1: x ≽-1

Inequality 2: x ≼ 3

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

y ≥ 5

Step-by-step explanation:

Distribute

2y - 2 = 8

     +2.     +2

2y/2 = 10/2

y = 5

Answer:

x1 = -1,x2 =3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

f(x)= -x + 4

Therefore f(-1)= -(-1)+4= 1+4= 5

h(x)= (3/2)x - 1

Therefore h(2)= (3/2)(2) -1= 3-1= 2

f(-1) - h(2)= 5 - 2= 3

Answer:

parallelogram:

Hexagon:

Triangle:

Step-by-step explanation:

Answer:

uh what is scamming?????

Answer:

I think its D

Step-by-step explanation:

You can rule out A and B because he would be able to throw it farther than 30 ft do that leaves C and D but davis Couldn't throw a 9.1 lb ball 30 ft so the answer is D

M a t h w a y will help you my friend!

I was struggling with math and using it got me get back on track :)

Answer:

depends on the other side, so... maybe

Step-by-step explanation:

If you have a rectangle and you know one side is 5.25, then if the perpendicular side looks about the same length or longer, then the area of the rectangle is at least 25.

Imagine you have a rectangle with a known base of 5.25, then if the rectangle is at least as tall as it is wide, then the area is over 25.  If the rectangle is very close to a square then the area should be near 25, and if the rectangle is visually shorter than it is wide then the area is less than 25

Answer:

Disagree

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

42 - 27= 15

15 + 27 = 42

Therefore, 15 is the answer

Answer:

C 803.8 in2

Step-by-step explanation:

Answer:

the answer is C 803.8 in2

Step-by-step explanation:

Answer:

1 foot

Step-by-step explanation:

1 yard = 3 ft

[tex]2*1 yard= 2*3feet[/tex]

2 yards = 6 feet

[tex]\frac{1}{6}[/tex] (2 yards) = [tex]\frac{1}{6}[/tex] (6 feet)

So, [tex]\frac{1}{6}[/tex] of 2 yards is 1 foot.

Answer:

D. 4

Step-by-step explanation:

We know that the square of (+4) is 16 and also for (—4) is 16. We normally takes interest in positive square value for a square root. Therefore, The principal square root of 16 is 4

Yo se que es eso si no pues ni modo XD

D.4

Answer:

1309

Step-by-step explanation:

1233 + 12 x 19 / 3 =

1233 + 228 / 3 =

1233 + 76 = 1309

Hope that helps!

Answer:

1,309 eso es con la calculadora sale

Answer:

B

Step-by-step explanation:

Answer:

it's C

Step-by-step explanation:

because B is wrong