Write the quadratic function in vertex form: f(x) = 8x2 + 2x - 5

Answer:

The measure of angle E is 45 degrees

Step-by-step explanation:

To get the measure if angle E, we use the appropriate trigonometric ratio

From the question, EF is the hypotenuse since it faces the right angle

EG is adjacent to angle E

so we are going to use the trigonometric ratio that connects adjacent to the hypotenuse

This trigonometric ratio is the cosine

It is the ratio of the adjacent to the hypotenuse

Thus,

we have it that;

Cos E = EG/EF

cos E = 6√26/12√13

E = arc Cos ( 6 √26/12 √13)

E = 45 degrees

Answer:

nmn

Step-by-step explanation:

Answer:

$4.64

Step-by-step explanation:

$42 x tax rate = 3.36

tax rate = 3.36/42

tax rate = 8%

$58x.08=4.64

The lengths of the sides of the right triangle that is formed are x-h and y - k

The triangle contained within the circle is a right angled triangle with the longest side as the hypotenuse.

Given the coordinate points (h, k) and (x, y), the lengths of the sides of the right triangle is equal to the difference between the x-ccordinate points and y-coordinate points

For the x-coordinstes

a = x - h

For the y-coordinate

b = y - k

Hence the lengths of the sides of the right triangle that is formed are x-h and y - k

Learn more on unit circle here: https://brainly.com/question/23989157

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Answer:

The coordinates of the vertices of triangle A'B'C' are [tex]A'(x,y) = (0,-4)[/tex], [tex]B'(x,y) = (2,-1)[/tex] and [tex]C'(x,y) = (3,-5)[/tex].

Step-by-step explanation:

According to this statement, triangle ABC must be translated 5 units in the -y direction to form triangle A'B'C'. We need to use the following operations:

[tex]A'(x,y) = A(x,y) +(0,-5)[/tex] (1)

[tex]B'(x,y) = B(x,y) +(0,-5)[/tex] (2)

[tex]C'(x,y) = C(x,y) + (0,-5)[/tex] (3)

If we know that [tex]A(x,y) = (0,1)[/tex], [tex]B(x,y) = (2,4)[/tex] and [tex]C(x,y) = (3,0)[/tex], then the new  vertices of the rectangle are, respectively:

[tex]A'(x,y) = (0,-4)[/tex], [tex]B'(x,y) = (2,-1)[/tex], [tex]C'(x,y) = (3,-5)[/tex]

Answer:

even numbers

Step-by-step explanation:

Answer: I can tell that all of them are even.

Step-by-step explanation:

how I can tell is that they end in 6,2,8,4,0 which are all even numbers

Answer:

See explanation

Step-by-step explanation:

1 = b (0,-2)

2 = b (0,1)

6 = a (3,0)

7 = a (-2,2)

Answer:

1.) B

2.) B

6.) A

7.) A and B

Step-by-step explanation:

Insert the ordered pairs into their places( x's with x's and y's with y's) until you get the answer to the left of the equal sign

1.) 7x-2y =4

B. (0,-2)       7(0) - 2(-2) = 0 + 4 = 4 Correct

2.) 3x + 5y = 5

B. (0,1)       3(0) + 5(1) = 0 + 5 = 5 Correct

6.) x - 3y = 3

A. (3,0)      3 - 3(0) = 3 - 0 = 3 Correct

7.) 3x - 2y = -10

B. (0,5)    3(0) - 2(5) = 0 - 10 = -10 Correct

A. (-2,2)   3(-2) - 2(2) = -6 -4 = -10 Correct

Step-by-step explanation:

what grade you in bro I am 7 how am I supposed to know this

Answer:C=2πr=2·π·2≈12.56637in

Step-by-step explanation:

Answer:

[tex]10y = 20y + 30 \\ y = 2y + 3 \\ y \: intercep = 3[/tex]

Answer:

36 minutes

Step-by-step explanation:

Write down Jim's rate:  

 1 lawn            1 lawn

------------- or --------------------

 3 hours        180 minutes

Multiply numerator and denominator both by 0.20:

0.20 lawn

---------------     which tells us it will take Jim 36 more minutes to finish his

 36 min         mowing.

Answer:

Volume of rectangular tank = 6 cubic feet

Step-by-step explanation:

Length of the rectangular tank = 3 feet

Width of the tank = 1 feet

And height of the rectangular tank = 2 feet

Since, tank is in the shape of a cuboid,

Volume of a cuboid = Length × Width × height

                                 = 3 × 1 × 2

                                 = 6 cubic feet

Therefore, volume of the rectangular tank will be 6 cubic feet.        

Answer:

6

Step-by-step explanation:

Answer:

24x^7 = 24x^7

Step-by-step explanation:

Left side of equation: 3 times 8 times X = 24x

Then you raise it to the 7th power

Right side of the equation: 6 times 4 times X = 24x

Since the exponent is the same, you keep it as the 7th power

Answer: 2^12

Step-by-step explanation:

Answer: 4096

Step-by-step explanation:

Given:

The statement is "Five times the difference of the cube of y and the square of x".

To find:

The algebraic expression for the given statement.

Solution:

We know that,

Cube = Power 3

Square = Power 2

Difference = Minus (-)

Times = Multiplication (×)

Now,

Cube of y = [tex]y^3[/tex]

Square of x = [tex]x^2[/tex]

Difference of the cube of y and the square of x = [tex]y^3-x^2[/tex]

Five times the difference of the cube of y and the square of x is:

Required expression = [tex]5(y^3-x^2)[/tex]

Therefore, the correct option is C. The required algebraic expression for the given statement is [tex]5(y^3-x^2)[/tex].

The equation would be 5+n=12.

This means that tory ate 7 because 5+7=12.

Answer:

5+n=12 or to find n 12-5=n

n=17

Answer:

Probability is a mathematical term for the likelihood that something will occur. It is the ability to understand and estimate the likelihood of any different combination of outcomes. Let’s discuss some real-life examples of Probability 1. Weather Forecasting Before planning for an outing or a picnic, we always check the weather forecast.

Step-by-step explanation:

Answer:96

Step-by-step explanation:

9+9+9+9+9+9+12+30

Answer: 2.43m^3

Step-by-step explanation:

Answer: 2.43meters

Step-by-step explanation:

Answer:

Area=24 units²

Step-by-step explanation:

[tex]x^2 +6^2=10^2[/tex]

[tex]x^2 +36=100[/tex]

[tex]x^2=64[/tex]

[tex]x=8[/tex]

[tex]A=\frac{8*6}{2}[/tex]

[tex]A=\frac{48}{2}[/tex]

[tex]A=24[/tex]

Answer:

The angle is 1/4 the circumference is the arc

Step-by-step explanation:

To solve this, we are to set up a fractional relation between the central angle subtended by the arc and the total angle subtended by the circle.

At this point, we can note that the circumference of a circle actually subtends an angle of 2π radians at the center.

To express the angle subtended by the central angle [angle at the centre of the arc] as a fraction of the total circle, we do this:

The central angle of arc / total angle at the centre of the circle

= π/2 ÷2π

=[tex]\pi/2 \times \frac{1}{2\pi}= 1/4[/tex]

Therefore the angle is 1/4 the circumference is the arc

Step-by-step explanation:

A Will be 29

B Will be 26

C Will be 45

D Will be 70

So B

Answer:

A reflection over the x-axis.

Step-by-step explanation:

A reflection over the x-axis means that the x-coordinate stays the same, and the y-coordinate is now the negative of what it was.  This describes what is shown in the photo.

Answer:

A reflection over the x- axis

Answer:

64 left handed girls

25 left handed boys

89 total left handed students

Step-by-step explanation:

Multiply 320 x 0.2

Multiply 250 x 0.1

You can think of it this way, 0.2 is 2/10 and 0.1 is 1/10 so take 20 percent of 320 and 10 percent of 250

Add them up for your answer 64 + 25 = 89

Answer: B

Step-by-step explanation:

I believe so but I’m not sure I remember having that exact question I forgot

Answer:

95.03

Step-by-step explanation:

half the radius- 11/2=5.5

A=πr^2

=πx5.5^2

Answer:

8

Step-by-step explanation:

6 divided by 0.75 is 8 :)

Answer:

she will fill 8 boxes

Step-by-step explanation: