Use the diagram and the information given to find the indicated measure:

1. ZX is the perpendicular axis of WY, yYZ = 13.75. Find the value of WZ.

2. ZX is the perpendicular axis of WY,

WZ = 4n − 13, and YZ = n + 17. Find the value of

AND Z.

3. Find the value of WX when

W Z = 20.5, W Y = 14.8, and Y Z = 20.5

Problem 1

There's not much to say about these. You'll just have to memorize the terms. Note with standard form that the exponents decrease as you move from left to right (2,1,0).

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

Problem 2

Other names for zeros are:

The term "root" is also applicable here.

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

Problem 3

We set each piece equal to 0 and solve for x. This is the zero product property

f(x) = (x-2)(x+4)

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

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

x-2 = 0 or x+4 = 0

x = 2 or x = -4

The two x intercepts are located at (2,0) and (-4,0)

Answer: Choice C

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

Problem 4

In the last problem, we found the two roots were x = 2 and x = -4

I'll let p = 2 and q = -4.

Average the roots to get (p+q)/2 = (2+(-4))/2 = -2/2 = -1

This is the x coordinate of the vertex. So h = -1

Plug this into the function to find k, which is the y coordinate of the vertex.

k = f(h)

k = f(-1)

k = (-1-2)(-1+4)

k = (-3)(3)

k = -9

The vertex is located at (h,k) = (-1, -9)

This is another way of saying the vertex is when x = -1 and y = -9

Answer: Choice C

Answer:

x=29

Step-by-step explanation:

We know for a fact that in a square:

- All of its angles have equal measure (90 degrees)

(e.g. Measure of Angle CAT, measure of Angle CST = 90 degrees)

Now that we know the facts, let's try to find x.

Now since we know that all the angles are equivalent to 90 degrees, we can say that Measurement of Angle SCA is 90 degrees. So:

[tex]90=3x+3[/tex]

Next, we'll simply just isolate the x:

[tex]90=3x+3\\90-3=3x+3-3\\87=3x\\\frac{87=3x}{3} \\29 = x[/tex]

Answer:

x = 3 and y = 1

Step-by-step explanation:

Give system of equations are :

8x-9y=15 ...(1)

−x+4y=1 ...(2)

Multiply equation (2) by 8.

−8x+32y=8 ..(3)

Add equation (1) and (3).

8x-9y -8x + 32y = 15+8

23y = 23

y = 1

Put the value of y in equation (2).

−x+4(1)=1

-x = -4+1

x = 3

Hence, the values of x and y are 3 and 1.

Answer:

orange modeling clay . .

Step-by-step explanation:

cosA = AC² + BC²- AB² / 2 • AC • BC

cos A = 13.5²+23.9²-12.7²/2• 13.5 • 23.9

Answer:

I'm not so sure but I think it's 6 or 9i

Answer:

Step-by-step explanation:

x=(115cos50+160cos130)=-28.9254

y=(115sin50+160sin130)=210.6622

m^2=x^2+y^2

m=212.64

angle=180+arctan(y/x)

angle=97.82

v=212.64 at 97.82 degrees

Answer:

x=3.2

Step-by-step explanation:

The value of the function at x =1 is -5.5.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given that the function is y = 2.5x - 8. The value of the function will be calculated as,

At x = 1 the value of y will be,

y = 2.5 x - 8

y = ( 2.5 x 1 ) - 8

y = 2.5 - 8

y = -5.5

To know more about function follow

https://brainly.com/question/10439235

#SPJ2

[tex]\boxed{\color{hotpink}\tt18.75\%} [/tex] of the drink is fruit juice

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

[tex] =\tt 650 + 150[/tex]

[tex] \color{plum}=\tt 800 \: ml[/tex]

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

[tex] = \tt\frac{x}{100} \times 800 = 150[/tex]

[tex] = \tt \frac{x \times 800}{100} = 150[/tex]

[tex] =\tt \frac{800x}{100} = 150[/tex]

[tex] =\tt 8x = 150[/tex]

[tex] =\tt x = \frac{150}{8} [/tex]

[tex]\hookrightarrow\color{plum} \bold{x = 18.75\%}[/tex]

Then, the percentage of water in the drink :

[tex] = \tt100 - 18.75[/tex]

[tex] \color{plum}= \tt81.25\%[/tex]

Thus, the percentage of water in the drink = 81.25%

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

Answer:

Step-by-step explanation:

2x + 4 = 2(x + 2)

[tex]Area = \frac{1}{2}*b*h\\\\=\frac{1}{2}*(2x-1)(2x + 4)\\\\\\= \frac{1}{2}*(2x - 1)*2*(x + 2)\\\\= (2x -1)(x+ 2)[/tex]

= 2x *x + 2x* 2  + x*(-1) + 2*(-1)

= 2x² + 4x - x - 2

= 2x² + 3x - 2

Answer:

what the question , so I can help u

Answer:

sure! but which one? i dont see anything

Step-by-step explanation:

Answer:

n = 50

Step-by-step explanation:

Let a be the first term and d be the common difference.

An arithmetic sequence has a 2nd term equal to 3 and 10th term equal to -13.

[tex]a_n=a+(n-1)d[/tex]

According to the given condition,

[tex]a_2=3\\\\a_{10}=-13[/tex]

or

[tex]a+(2-1)d=3\\\\a+d=3\ ...(1)\\\\a+(10-1)d=-13\\\\a+9d=-13\ ...(2)[/tex]

Subtract equation (1) from (2).

a+9d-(a+d) = -13-3

8d = -16

d = -2

Put the value of d in equation (1).

a+(-2) = 3

a = 3+2

a = 5

Now,

[tex]a+(n-1)d = -93\\\\5+(n-1)(-2)=-93\\\\5-2n+2=-93\\\\7+93=2n\\\\2n=100\\\\n=50[/tex]

So, 50th term has the value of -93.

Answer:

B

Step-by-step explanation:

Of is multiplication, so correct answer is B

Answer:

b, and d

Step-by-step explanation:

5% * 35 = 0.05 * 35 = 5/100 * 35.

Answer:

c is the correct answer baby

Step-by-step explanation:

How was the government able to make children go to residential school?

Answer:

a

Step-by-step explanation:

Answer:

Hyun

Step-by-step explanation:

Vika: 1= 15 minutes

Sandy: 1= 10 minutes

Hyun: 1= 7 minutes

Answer:

Hyun

Step-by-step explanation:

Vika: 1= 15 minutes

Sandy: 1= 10 minutes

Hyun: 1= 7 minutes

Answer:

12:35

Step-by-step explanation:

The boy left school at time 12:15 pm.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.

To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:

So,

8:15am = 8 x 60 + 15 = 495 minutes

Now we can add 4 hours and 20 minutes:

495 + 4 x 60 + 20 = 735 minutes

So the boy left school at 735 minutes after midnight.

To convert this back to a time, we can divide by 60 to get the number of hours and minutes:

735 minutes / 60

= 12 hours (with 15 minutes remaining)

Therefore,

The boy left school at time 12:15 pm.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

Answer: 8a

Step-by-step explanation:

Step-by-step explanation:

I can only think of one way to simplify this and it is by taking out the greatest common factor: a². Or by multiplying the two values together so it's only one value.

a²(3*5)

a²(15)

Or...

(3a² * 5a²)

(15a⁴)

(this one is a⁴ because a variable with a power multiplied by a variable with a power only adds the powers together)

Answer:

Associative Property of Multiplication

Step-by-step explanation:

The Associative Property of Multiplication states that the answer to an equation will stay the same even if the grouping of the numbers changes.

Answer:

9

Step-by-step explanation:9x5

Answer:

the opposite and symmetrical of the given number is 2

Step-by-step explanation:

The computation of an opposite and symmetrical of the given number is shown below:

81:3^4 + 3^0

81:81+1

1 + 1

= 2

Hence, the opposite and symmetrical of the given number is 2

Answer:

The answer is 2

Step-by-step explanation:

The slope of Abha's climb is given by the equation

Slope m = 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be A

Now , let the point be P ( x , y )

And , the equation is given by

The horizontal distance covered by Abha x = 20 yards

The vertical distance covered by Abha y = 40 yards

Now , the slope of the point is given by the equation

Slope m = vertical distance covered by Abha  / horizontal distance covered by Abha

Substituting the values in the equation , we get

Slope m of Abha's climb = y/x

Slope m of Abha's climb = 40 / 20

Slope m of Abha's climb = 2

Therefore , the slope of the line is m = 2

Hence , The slope of Abha's climb is given by the equation Slope m = 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Answer:

no

Step-by-step explanation:

10² + 24² ≠ 28²

Answer:

how did you get the graph on here

Answer:

0

Step-by-step explanation:

Let's solve your equation step-by-step.

5(−3x−2)−(x−3)=−4(4x+5)+13

Step 1: Simplify both sides of the equation.

5(−3x−2)−(x−3)=−4(4x+5)+13

5(−3x−2)+−1(x−3)=−4(4x+5)+13(Distribute the Negative Sign)

5(−3x−2)+−1x+(−1)(−3)=−4(4x+5)+13

5(−3x−2)+−x+3=−4(4x+5)+13

(5)(−3x)+(5)(−2)+−x+3=(−4)(4x)+(−4)(5)+13(Distribute)

−15x+−10+−x+3=−16x+−20+13

(−15x+−x)+(−10+3)=(−16x)+(−20+13)(Combine Like Terms)

−16x+−7=−16x+−7

−16x−7=−16x−7

Step 2: Add 16x to both sides.

−16x−7+16x=−16x−7+16x

−7=−7

Step 3: Add 7 to both sides.

−7+7=−7+7

0=0

Answer:

43%

Step-by-step explanation:

(40.76 - 28.50) / 28.5 = .43 or 43%