HELPOOPPP AND IF YOU DONT GET IT RIGHT I REPORT

Answer: See attached image for graph

PQ: √50

QR: √18

PR: √68

Step-by-step explanation: We will use the 2D distance formula in order to get each side length. The distance formula is:

Thus, we just apply this formula for each side length.

Answer:

$2x

Step-by-step explanation:

His salary doubled (x2), so you can eliminate B & C because they are + & -. You can eliminate A because that would represent his current salary. So, that leaves $2x.

The spider's movement is an illustration of a parabola.

(a) The equation

The spider passes through the origin.

So, we have:

[tex]\mathbf{(x,y) = (0,0)}[/tex]

The spider jumps to a maximum height of 20mm, midway 160mm.

So, the vertex is:

[tex]\mathbf{(h,k) = (80,20)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

So, we have:

[tex]\mathbf{0 = a(0 - 80)^2 + 20}[/tex]

[tex]\mathbf{0 = 6400a + 20}[/tex]

Subtract 20 from both sides

[tex]\mathbf{6400a =- 20}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{1}{320}}[/tex]

Substitute [tex]\mathbf{a =- \frac{1}{320}}[/tex] and [tex]\mathbf{(h,k) = (80,20)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -\frac{1}{320}(x - 80)^2 + 20}[/tex]

(b) The focus, directrix and the axis of symmetry

The focus of a parabola is:

[tex]\mathbf{Focus = (h,k+p)}[/tex]

Where:

[tex]\mathbf{p = \frac{1}{4a}}[/tex]

So, we have:

[tex]\mathbf{p = \frac{1}{4\times -1/320}}[/tex]

[tex]\mathbf{p = -\frac{320}{4}}[/tex]

[tex]\mathbf{p = -80}[/tex]

So, we have:

[tex]\mathbf{Focus = (80 , 20-80)}[/tex]

[tex]\mathbf{Focus = (80 ,-60)}[/tex]

The axis of symmetry is:

[tex]\mathbf{x = h}[/tex]

So, we have:

[tex]\mathbf{x = 80}[/tex]

The directrix is:

[tex]\mathbf{y = k - p}\\[/tex]

So, we have:

[tex]\mathbf{y = 20+80}[/tex]

[tex]\mathbf{y = 100}[/tex]

Read more about parabolas at:

https://brainly.com/question/5430838

The x-intercept occurs when y = 0. Therefpre if we make y = 0, and solve for x, then we can find the x-intercept.

since    x − 7(0) = –10

⇒             x − 0 = –10

                     x = -10

Answer:

1. a^4.

2. 9c³.

3. 8z^6.

4. 4b²a.

5. 20q(if the 2 isn't an exponent)

if it is,

20q².

6.x²y².

7. j²k²i.

All the best.

Answer:

Step-by-step explanation:

[tex]1.(a^{2})^{2}= a^{2*2}=a^{4}\\\\\\2. (3c)^{3}=3^{3}*c^{3} = 27c^{3}\\\\\\3.(2z^{2})^{3}=2^{3}*(z^{2})^{3}=8z^{2*3}=8z^{6}\\\\\\4.a(2b)^{2}=a*2^{2}b^{2}=4ab^{2}\\\\\\5.5(q^{2})^{2} = 5q^{2*2}=5q^{4}\\\\\\6.(xy)^{2}=x^{2}y^{2}\\\\\\7i(jk)^{2}=ij^{2}k^{2}[/tex]

Answer:

$60378

Step-by-step explanation:

$58,000 represents 100% of the original cost

100 + 4.1= 104.1% = 104.1/100 = 1.041

Multiplying by 1.041 gives the cost after the increase

price = 53000 x 1.041  = $60378

Answer:

15

Step-by-step explanation:

25=100º

x=60

[tex]\frac{25}{x}=\frac{100}{60}[/tex]

[tex]\frac{x}{25}=\frac{60}{100}[/tex]

x=15

Answer:

hope it helps

.............

Answer:

0.125

Step-by-step explanation:

Hope it helps

Answer:

(5/4) / 10

= (5×10)/4

= 50 / 4

= 25/ 2

= 12.5

Step-by-step explanation:

brainliest plz

Answer:

6

Step-by-step explanation:

[tex] {(3 \sqrt{13}) }^{2} - {9}^{2} = {x}^{2} \\ 9(13) - 81 = {x}^{2} \\ 117 - 81 = {x}^{2} \\ 36 = {x}^{2} \\ x = 6

Use Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=(3√13)^2-9^2[/tex]

[tex]\\ \sf\longmapsto P^2=117-81[/tex]

[tex]\\ \sf\longmapsto P^2=36[/tex]

[tex]\\ \sf\longmapsto P=6[/tex]

Answer:

D. The polynomial is irreducible

Step-by-step explanation:

D. The polynomial is irreducible is the correct answer because x and -18 don't share anymore common factors for it to factorized/simplified, so x - 18 is as far as it can get.

Answer:

5 1/3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When x is equal to 0, you look at the graph and you get y is equal to 3, which is choice B

Step-by-step explanation:

[tex] \large\underline{\sf{Solution-}}[/tex]

Given function is

[tex]\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R[/tex]

To find the range of the function f, Let assume that

[tex]\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} [/tex]

[tex]\rm \longmapsto\: {yx}^{2} + y = {x}^{2} [/tex]

[tex]\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y[/tex]

[tex]\rm \longmapsto\: - {x}^{2} (1 - y) = - y[/tex]

[tex]\rm \longmapsto\: {x}^{2} (1 - y) = y[/tex]

[tex]\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} [/tex]

[tex]\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } [/tex]

For x to be defined,

[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0[/tex]

[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1[/tex]

[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1[/tex]

[tex]\bf\implies \:y \: \in \: [0, \: 1)[/tex]

Hence,

[tex]\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)[/tex]

Answer:

[tex] < [/tex]

Step-by-step explanation:

[tex] < [/tex]

The rate of change of this function in miles per week is 3 miles per week.

We have a table as shown in the question.

The rate of change in miles per week is -

(19 - 13)/(3 - 1) = (22 - 19)/(4 - 3)

6/2 = 3/1

3 = 3

3

Therefore, the rate of change of this function in miles per week is 3 miles per week.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Answer:

112

Step-by-step explanation:

Answer:

x+2

Step-by-step explanation:

i put mi x as one so

....that how i get my anwser

Answer:

16x - 9

Step-by-step explanation:

2x(3x + 5) - 3 (2x² - 2x + 3) ← distribute parenthesis

= 6x² + 10x - 6x² + 6x - 9 ← collect like terms

= 16x - 9

Answer:

16X-9

Step-by-step explanation:

(2x)(3x)+(2x)(5)+(-3)(2x²)+(-3)(-2x)+(-3)(3)

6x²+10x+6x²+6x +-9

combine like terms

6x² +10x +-6x² +6x+-9

(6x² +6x² )+(10x+6x)+(-9)

16x+-9

16x-9

Answer:

Step-by-step explanation:

a) vertex = (3, 18).

b) This tells us that the doorway is 8 units high.

c) Y intercept is at (0, 0).

d) x intercepts are (0, 0) and (6, 0).

e) The base is horizontal.

Answer:

youre gonna put 4 on x axis and -3 on y

Step-by-step explanation:

Answer:

p=6/8

Step-by-step explanation:

there are 8 sections total and 6 sections that are not yellow

you have a 6 in 8 chance of landing on a color that isn't yellow/

6/8

hope this helps!

Step-by-step explanation:

450/180= 2.5 kilos

it is a one to one relationship

f(x)=x/180

where x is the amount given to her

Answer:

A. (4, -4)

Step-by-step explanation:

Equation form x = 4, y = −4

Answer:

Option A

Step-by-step explanation:

5x + 2 y = 12 -----------(I)

5x - 2y = 28 ------------(II)

Add equation (I) & (II). So, y will be eliminated and we will get the value of x

(I)     5x + 2y = 12

(II)     5x -2y  = 28    {Now add}

         10x      =  40

                  x = 40/10

x = 4

Plugin x = 4 in equation (I)

5*4 + 2y = 12

20 + 2y = 12

        2y = 12 - 20

        2y = -8

          y = -8/2

y = -4

Answer:

The correct answer is 7.5%, 7.59, 7 49/50

Step-by-step explanation:

Hope This Helps!

Answer:

7 49/50, 7.59, 7.5%

Step-by-step explanation:

7 49/50=7.98 if you solve the fraction

7.5%=0.075 if you move the decimal two places

Hope this helps :)

Answer:

x > 8.125 or 8 & 1/8

Step-by-step explanation:

8( -x - 7) > 16

-8x - 49 > 16

     + 49 + 49

-8x > 65

x > 8.125 or 8 & 1/8

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    f*(x)-(-x^2-3*x)=0  

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  fx + x2 + 3x  =   x • (f + x + 3)  

Equation at the end of step

2

:

 x • (f + x + 3)  = 0  

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    x = 0  

 Solution is  x = 0

Equation of a Straight Line

3.3     Solve   f+x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  f+x+3  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000

 f-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -3/1  = -3.00000  

Calculate the Slope :

Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -2.000/2.000 = -1.000  

Geometric figure: Straight Line

 Slope = -2.000/2.000 = -1.000

 x-intercept = -3/1 = -3.00000

 f-intercept = -3/1 = -3.00000

x = 0