a
39. Algebra A rectangle has a base of x units. The area is (4x2-2x)
square units. What is the height of the rectangle in terms of x?
A (4 - x) units
(x-2) units
B (4x3 - 2x2) units
D (4x - 2) units
-
-

The area of the shaded region in the given quadrant, to the nearest hundredth is: 4.57 ft².

Area of a quadrant = 1/4 × area of a circle = 1/4 × πr²

The figure has been partitioned into A, B, C to E.

The area of the shaded region = A + B

Step 1: Find the area of A:

Area of A = area of the square formed by D, A, and C - area of D + area of C.

Area of D = area of square - area of quadrant formed by A and C

Area of D = s² - 1/4 × πr² = 2² - 1/4 × π(2)²

Area of D = 0.86 ft²

Area D = area of C = 0.86 ft²

Area of D + area of C = 2(0.86) = 1.72 ft²

Area of A = 4 - 1.72 = 2.28 ft²

Step 2: Find the area of quadrants E and F

Area of quadrants E and F = 2(1/4 × πr²) = 2(1/4 × (3.14)(2)²)

Area of quadrants E and F = 6.28 ft².

Step 3: Find the area of B

Area of B = area of the biggest quadrant - area of quadrants E and F + area of square formed by D, A, and C

Area of B = 1/4 × πr² - 6.28 + 4

Area of B = 1/4 × π(4²) - 10.28

Area of B = 2.29 ft².

Step 4: Find the area of the shaded region

Area of the shaded region = A + B = 2.28 + 2.29

Area of the shaded region = 4.57 ft².

In conclusion, the area of the shaded region in the given quadrant, to the nearest hundredth is: 4.57 ft².

Learn more about area of quadrant on:

https://brainly.com/question/11066058

Considering the given focus and directrix, the equation of the parabola is given by:

[tex]y = -2.375x^2[/tex]

The equation of a parabola, with a directrix in y, is:

[tex]y - k = a(x - h)^2[/tex]

In which:

In this problem, we have that the x-coordinate of the vertex is h = 0.

From the focus and the directrix, we have that:

k+C = -9.5

k - c = 9.5.

Hence k = 0, C = -9.5 = a = 0.25C = -2.375.

Thus the equation of the parabola is given by:

[tex]y = -2.375x^2[/tex]

More can be learned about the equation of a parabola at https://brainly.com/question/26144898

Answer:

50,12

Step-by-step explanation:

any number that has 5 in the tensplace is correct

1/10 of 100 is 10

Answer:

A "zero" of a polynomial is a value of x at which the polynomial, when evaluated, is equal to zero. Since (−x)4=(−1)4x4=x4 ( − x ) 4 = ( − 1 ) 4 x 4 = x 4 , the zero 0 has multiplicity 4 .

...

Answer:

1/x^2

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x5"   was replaced by   "x^5".  1 more similar replacement(s).

Step 1:

Simplify x^3 / x^5

Dividing exponential expressions :

x^3 divided by x^5 = x ^ (3-5) = x^(-2) = 1/x^2

Answer:

Step-by-step explanation:

The question is 10b/(2b + 8)

The reciprocal will not make a minus sign. B and C are both wrong. Powers can create a minus sign but not this kind of question

Two terms creating a binomial must stay together. In this case (2b + 8) must be entirely in the top or bottom of the fraction. That makes  D wrong.

Answer: A is the correct reciprocal.

Answer:

x = - 15

Step-by-step explanation:

[tex]\frac{x}{9}[/tex] + [tex]\frac{1}{3}[/tex] = - [tex]\frac{4}{3}[/tex] ( multiply through by 9 to clear the fractions )

x + 3 = - 12 ( subtract 3 from both sides )

x = - 15

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=−15

Answer:

2 (y-value increase as x-value also increase)

Step-by-step explanation:

Lets look at the graph! when x is 7, y is 4. and when x is 9, y is 5 which is proving that they BOTH increase

Answer:

Step-by-step explanation:

Angles a and 60°, also c and 65° are alternate interior angles and therefore are equal:

Angles b and 65° form a linear pair, so they sum to 180°

Answer:

a = 60°

b = 115°

c = 65°

Step-by-step explanation:

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent (same).

Therefore, a = 60° and c = 65°

Angles on a straight line sum to 180°

⇒ b + 65° = 180°

Subtracting 65° from both sides:

⇒ b + 65° - 65° = 180° - 65°

⇒ b = 115°

The measure of all three angles is 81, 49.5 and 49.5 degrees.

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees. A triangle is a closed figure formed by three line segments, consisting of interior as well as exterior angles.

The angle sum property formula for any polygon is expressed as, S = (n − 2) × 180°, where 'n' represents the number of sides in the polygon. This property of a polygon states that the sum of the interior angles in a polygon can be found with the help of the number of triangles that can be formed inside it.

Given:

The triangle is isosceles which has two sides equal.

Also Two angles equals.

Let the equal angles are x.

third angle= 81 degree

Now, Using Angle Sum property

x+ +x + 81 = 180

2x= 180-81

2x= 99

x= 99/2

x= 49.5 degrees

Hence, the two smaller angles are 49.5 degrees.

Learn more about Angle sum property here:

https://brainly.com/question/21099419

#SPJ2

[tex] {t}^{3} = \frac{64}{27} \\ [/tex]

[tex]t = \sqrt[3]{ \frac{64}{27} } \\ [/tex]

[tex]t = \frac{ \sqrt[3]{64} }{ \sqrt[3]{27} } \\ [/tex]

[tex]t = \frac{4}{3} \\ [/tex]

Answer:

K=6

Step-by-step explanation:

I hope this answer is right

Answer:

$3.99

Step-by-step explanation:

a gallon of gas=2.17$

12 gallons of gas=2.17$×12 =26.04$

2 jugs of anti freeze =7.98$ × 2 = 15.96$

a bottle of oil = 2.49$

tax= 1.52$

total= 46.01$

he paid 50$

so the change could be 50$-46.01$ = 3.99$

the answer is 3.99$

Answer:4

Step-by-step explanation:

2 slices each ten people times them together 20 slices .4 pizzas*5slices=20

Answer:

-> (x,y) => (1,5)

Step-by-step explanation:

Let's solve your system by elimination.

18x−7y=−17;3x−3y=−12

Multiply the second equation by -6, then add the equations together.

(18x−7y=−17)

−6(3x−3y=−12)

Becomes:

18x−7y=−17

−18x+18y=72

Add these equations to eliminate x:

11y=55

Then solve 11y=55for y:

11y=55

11y/11 = 55/11

(Divide both sides by 11)

y=5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

18x−7y=−17

Substitute5foryin18x−7y=−17:

18x−(7)(5)=−17

18x−35=−17(Simplify both sides of the equation)

18x−35+35=−17+35(Add 35 to both sides)

18x=18

18x/18 = 18/18

(Divide both sides by 18)

x=1

Answer:

Russ is correct

Step-by-step explanation:

Russ is correct because 130/22 will not be quite to 6, but you can't have 9/10 of a bus so you will round up to 6.

Answer:

91⁰

Step-by-step explanation:

By using exterior angle theorm,

3=44+47=91⁰

Answer:

DWest I think

Step-by-step explanation:

I dont really know if this is right so pls forgive me if this is wrong.

Answer:

this equation has 1 answer

Step-by-step explanation:

x = 2

Answer:

volume of cuboid = lbh = 8.2 ft x 9.4 ft x 10.7 ft

= 824.8 ft^3

Answer:

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -0)/(-1 -(-3)) = 2/2

  m = 1 . . . . . the slope of the line is 1

__

The value of the y-intercept can be found by solving the slope-intercept equation for b.

  y = mx +b

  b = y -mx

  b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)

The equation of the line with slope 1 and y-intercept 3 can be written as ...

  y = x +3

#1

Passes through

y=x² passes through (-1,1)

Stepped 4 times

#2

First make a negative as parabola is opening downwards.

Passes through (1,-2)

y=-x² passes through (1,-1)

So

final graph

Answer:

a)  Stretched parallel to the y-axis by a scale factor of 5

b)  Stretched parallel to the y-axis by a scale factor of 5/2 and reflected in the x-axis.

Step-by-step explanation:

Transformation

y = a f(x)

[tex]\textsf{Parent function}:\quad y=x^2[/tex]

[tex]\textsf{Transformed function}:\quad y=5x^2[/tex]

Transformation:  Stretched parallel to the y-axis by a scale factor of 5.

[tex]\textsf{Parent function}:\quad y=x^2[/tex]

[tex]\textsf{Transformed function}:\quad y=-\dfrac{5}{2}x^2[/tex]

Stretched parallel to the y-axis by a scale factor of 5/2 and reflected in the x-axis.

Answer:

im sorry I don't know I didn't do stuff like this in school

Answer:

300 students were surveyed.

Step-by-step explanation:

Well, we know that 57% of students like blue, so that leaves 43% who like red. By simply dividing 129 by 43, we get 3, so know we can conclude that 1% is equal to 3 students. Knowing this, we can multiply 3 by 57 to get 171. Adding these up, we get 300, and we can verify this, by simply finding the difference between 57 and 43, which is 14. Now that we also know that 1% is equal to 3 students, we can multiply 14 by 3, to get 42, which is also the difference between 171 and 129.

Answer:

a13

Step-by-step explanation:

a^9 × a^4 = a(9 + 4)

= a13

Answer:

Step-by-step explanation:

Let the area of water is w and area of land is l.

Their ratio is:

or

Find the value of l

Let that be x

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + b^2 =11^2

25 + b^2 = 121

b^2 = 121 - 25

b^2 = 96

b =9.8

I don't know if this what you need but I hope this helps