What is the distance between the point (4,7) and its reflection over the x-axis, as shown on the graph below?

Answer:

y = 0.5sin(4x)

Step-by-step explanation:

y = A sin(B(x + C)) + D

amplitude is A = 0.5

B = 2π/period = 2π / (1/2 π) = 4

phase shift is C (positive is to the left) = 0

vertical shift is D = 0

Answer:

17.5 is going to be your answer

Answer:

$11.20 + 2 = 1122  1050 +3 = 1053 hope this help .

Step-by-step explanation:

h = 5

y = 8

=> 7hy² + y

=> 7 × 5 × 8² + 8

=> 35 × 64 + 8

=> 2240 + 8

=> 2248

Answer:

AP(Arithmetic progression).

Step-by-step explanation:

Given formula;

s=n/2(a+l)

Explanation;

Given formula;

s=n/2(a+l)

Explanation;

The given formula is used to calculate the sum of the given AP(Arithmetic progression).

In which;

S = Sum of AP(Arithmetic progression).

n = number of terms in AP(Arithmetic progression).

a = first term of AP(Arithmetic progression).

l = last term of AP(Arithmetic progression).

Answer:

m<A = 107

m<B = 73

m<C = 107

m<D = 73

Step-by-step explanation:

2(4x + 1) + 2(5x + 17) = 360

8x + 2 + 10x + 34 = 360

18x + 36 = 360

18x = 324

x = 18

4x + 1

4(18) + 1

73

5x + 17

5(18) + 17

107

Answer:

(2x + 5)(3x - 7), (x + 4)(x - 2)

Step-by-step explanation:

a = 6, b = 1, c = -35

? × ? = ac = 6 × -35 = - (2 × 3 × 7 × 5)

? + ? = b = 1

3 × 5 -(negative sign from above) 2 × 7 = 15 - 14 = 1 = b

[tex]\frac{1}{6}(6x + 15)(6x + (-14))[/tex]

= [tex]\frac{1}{6}(3)(2x + 5)(2)(3x - 7)[/tex]

= [tex](2x + 5)(3x - 7)[/tex]

a = 1, b = 2, c = -8

? × ? = ac = 1 × -8 = -(2 × 2 × 2) = 4 × -2

? + ? = b = 2

4 + (-2) = 2 = b

[tex]\frac{1}{1}(1x + 4)(1x + (-2))[/tex]

= [tex](x + 4)(x - 2)[/tex]

Answer:

[tex]y = |x + 9| - 6[/tex]

Step-by-step explanation:

Given

[tex]y = |x|[/tex] --- the correct equation

Shifted down 6 units

Shifted left 9 units

Required

The new equation

When function is shifted down by b units, the new function is:

[tex](x,y) = (x,y-b)[/tex]

In this case:

[tex]b =6[/tex]

So, [tex]y = |x|[/tex] becomes

[tex]y =|x| - 6[/tex]

When function is shifted left by b units, the new function is:

[tex](x,y) = (x+b,y)[/tex]

In this case:

[tex]b =9[/tex]

So: [tex]y =|x| - 6[/tex] becomes

[tex]y = |x + 9| - 6[/tex]

Answer:

There isn't an answer.

Step-by-step explanation:

5(x+1) = 4(x-1) + x

5x + 5 = 4x - 4 + x

5x +5 = 5x -4

0 = -9

no x, so no answer.

Answer:

[tex]\theta=36.43^{\circ}[/tex]

Step-by-step explanation:

Given that,

Base = 42

Perpendicular height = 31

We need to find the value of [tex]\theta[/tex]. It can be calculated using trigonometry as follows :

[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})[/tex]

Put all the values,

[tex]\theta=\tan^{-1}(\dfrac{31}{42})\\\\\theta=36.43^{\circ}[/tex]

So, the value of [tex]\theta=36.43^{\circ}[/tex].

oh no noooooooooooooooooooooooooooooooooooooooooooo

Answer:

A. 99 sq cm

Step-by-step explanation:

Area of geometric shape

= 2 times the area of one triangle with base a and height c

+ 2 times the area of one triangle with base c and height b

+ Area of rectangle with dimensions a and c.

[tex] = 2 \times \frac{1}{2} ac + 2 \times \frac{1}{2} bc + ac \\ \\ = ac + bc + ac \\ \\ = 2ac + bc \\ \\ = 2(13)(3) + 7(3) \\ \\ = 78 + 21 \\ \\ = 99 \: sq \: cm[/tex]

=============================================================

Explanation:

The rectangular base has area of length*width = a*c = 13*3 = 39 square cm. Let m = 39 since we'll use it later.

The triangles on the left and right sides have an area of base*height/2 = c*b/2 = 3*7/2 = 21/2 = 10.5 sq cm. They combine to an area of 2*10.5 = 21 sq cm. Let n = 21 since we'll use it later.

The triangles in the north and south positions have base 'a' and height 'c', so the area of each is base*height/2 = a*c/2 = 13*3/2 = 39/2 = 19.5 sq cm. That means the two north and south triangles add up to 19.5+19.5 = 39 sq cm. Let p = 39 since we'll use it later.

Overall, we have a total area of m+n+p = 39+21+39 = 99

The area of this flat 2D figure is 99 sq cm. If we folded along the dashed lines, then we'd get a 3D rectangular pyramid that has surface area of 99 sq cm. The surface area is the amount of material along the outside of the 3D figure. Or you can think of it like saying "If we painted all four sides of the 3D pyramid, then we cover 99 cm^2 of area".

Answer:64

Step-by-Step

Image

6/16 = 3/8

hope this helps

Answer:

[tex]3x^2+126x[/tex]

Step-by-step explanation:

Solve For X.

3x(x+42)

Ans:

3x(x+42)

Use the distributive property to multiply 3x by x+42.

[tex]3x^2+126x[/tex]

Answer:

Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)

Step-by-step explanation:

Given:

Height of Frustum = 8 feet

Diameter of top = 6 feet

Diameter of base = 4 feet

Find;

Volume of fountain cup in gallons

1 cubic foot = 7.5 gallons

Computation:

Radius of top = 6 / 2 = 3 feet

Radius of base = 4 / 2 = 2 feet

Volume of fountain cup in gallons = (πh/3)[R² + r² + Rr]

Volume of fountain cup in gallons = [(3.14)(8)/3)[3² + 2² + (3)(2)]

Volume of fountain cup in gallons = [8.37)[9 + 4 + 6]

Volume of fountain cup in gallons = [8.37)[19]

Volume of fountain cup in gallons = 159.03

Volume of fountain cup in gallons = 159 feet³

Volume of fountain cup in gallons = 159 x 7.5

Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)

Answer:

5/100

Step-by-step explanation:

each penny = 1/100

Answer:

B. the second one

Step-by-step explanation:

Answer:

[tex]10 > 1.85 + 0.5m[/tex]

Step-by-step explanation:

Price of the scooter:

Fixed price of $1.85 to activate plus $0.50 for each mile. This situation can be represented by a linear function, and it is given by:

[tex]P(m) = 1.85 + 0.5m[/tex]

Mikael has a gift card for $10 and he can not spend more on the scooter.

The spendings have to be less than 10. So

[tex]10 > P(m)[/tex]

[tex]10 > 1.85 + 0.5m[/tex]

Answer:

x = 2

Step-by-step explanation:

From the data, we obtain the slope :

-1, 8 ; 3, - 4

Slope = Rise / run

Rise = y2 - y1 = (-4 - 8) = - 12

Run = x2 - x1 = (3 - (-1)) = 4

Slope, m = - 12 / 4 = - 3

Recall:

Equation of line :

y - y1 = m(x - x1)

y - 8 = - 3(x + 1)

y - 8 = - 3x - 3

y = - 3x - 3 + 8

y = - 3x + 5

Substituting y = - 3x + 5 into the equation 2x+4y= 0

2x + 4(-3x + 5) = 0

2x - 12x + 20 = 0

-10x = - 20

x = 2

Answer:

The answer is C, E

Answer:

-1/3

Step-by-step explanation:

Perpendicular slope=negative reciprocal

cant solve it

Step-by-step explanation:

Answer:

B) 6x³+4x-2

Step-by-step explanation:

B) 6x³+4x-2

Answer:

what is the options

Step-by-step explanation:

Answer:

Y=2,000(1+2.5)^12

Step-by-step explanation:

9514 1404 393

Answer:

  y = x + 2

Step-by-step explanation:

The slope-intercept form equation is ...

  y = mx + b . . . . . . slope m, y-intercept b

We are given the slope, so we only need to find the y-intercept. When we solve for b, we find ...

  y - mx = b . . . . . .  subtract mx

  8 - 1(6) = b = 2 . . . . fill in given values of (x, y) and m

Then the equation of the line is ...

  y = x +2