A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the height, z, of the trapezoid. In your final answer, include all of the formulas and calculations necessary.

Answer:

D

Step-by-step explanation:

When you graph, you can see that the Line crosses the x at (-3,0) and then passes through the y at (0, 12)

Answer:

D

Step-by-step explanation:

To find the intercepts, set the variable you are not trying to find to 0. Also, in case you don't know, f(x) and y are the same thing here. So on this question, it would be:

X-Intercept:

0=4x+12

-12=4x

-3=x

so x intercept is (-3,0)

Y-Intercept:

y=4(0)+12

y=12

so y intercept is (0,12)

Answer:

B

Step-by-step explanation:

I am not good at math, but I know because it's basically out and not with the other dots lol.

Answer:

The discriminant is 0

That means there is one real zero

Step-by-step explanation:

3x^2 + 24x + 48

This in the form

ax^2 +bx+c

a=3 b=24 c = 48

The discriminant is

b^2 - 4ac

24^2 - 4(3)(48)

576-576

0

The discriminant is zero

That means there is one real zero

Answer:

p(1)=100

Step-by-step explanation:

p(1) just means "substitute the value (1) in for (x) in the equation"

So,

[tex]1^{99}[/tex]+99= 100

(1 to any power is always equal to 1, including 0)

Answer:yes

Step-by-step explanation:

<BAC=<BDE

<BCA=BED

Answer:

6/8 which simplifies to 3/4

Step-by-step explanation:

2/8 + 4/8

Since the denominator is the same, we can just add the numerators

2+4 =6

6/8

Simplifying the fraction by dividing the top and bottom by 2

3/4

Answer:

x^2+6x+9

Step-by-step explanation:

x^2 +6x

Take the coefficient of x

6

Divide by 2

6/2 = 3

Square it

3^2 = 9

Add 9 to each side

x^2+6x+9

Answer:

A. a numerical equation

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x + 8 = 8

4x = 0

x = 0

onw

Answer:

One solution x=0

Step-by-step explanation:

2x+8=-2x+8

Add 2x to each side

2x+2x+8=-2x+2x+8

4x+8=8

Subtract 8 from each side

4x+8-8=8-8

4x = 0

x=0

There is one solution

x=0

Answer:

Reflect over the x-axis and shift up 3.

Answer:

Reflect over the x-axis and shift up 3

Step-by-step explanation:

Answer:

5^10 / 5^8 = 5^2 = 25 so the equation becomes 25 = (1/5) ^ n. This means that n = -2.

Answer:

[tex]n=-2[/tex]

Step-by-step explanation:

[tex]\frac{5^{10}}{5^8}=(\frac{1}{5})^n[/tex]

Use the law of exponents.

[tex]5^{10-8}=\left(\frac{1}{5}\right)^n[/tex]

1/5 can be written with a base of 5.

[tex]5^{10-8}=\left(5^{-1}\right)^n[/tex]

Cancel the base 5 on both sides.

[tex]10-8=-1\times \:n[/tex]

[tex]2=-n[/tex]

Multiply both sides with -1.

[tex]n=-2[/tex]

Answer:

98=49bb+49tt

Explain:

so u have the same amount of both

Steps:

Shape: Cone

Solved for radius

Height: 36 cm

Volume: 588 cm3

Formula= r=√3v/πh

R= Radius

H= Height

Description:

Using the formula  r=√3v/πh, we have to calculate the radius.  We know that the height is 36 and the volume of 588. We use the formula and get the answer. The answer we get is r≈3.95cm.

Answer: r≈3.95cm

Please mark brainliest

Hope this helps.

Answer:

r = 7cm

Step-by-step explanation:

[tex]h = 36 \\Volume = 588pi\\r = \\588pi = \frac{1}{3}pir^{2} 36\\Cross-multiply\\1764pi=36pir^{2} \\Divide-both-sides-of-the-equation-by-36pi\\r^{2} =\frac{1764pi}{36pi} \\r^{2} = 49\\Square -root-both-sides-of-the-equation.\\\sqrt{r^{2} } =\sqrt{49} \\r = 7[/tex]

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, - 3) and (x₂, y₂ ) = (- 12, - 3)

m = [tex]\frac{-3+3}{-12+8}[/tex] = [tex]\frac{0}{-4}[/tex] = 0

Slope is rise per run. Rise is difference of y ordinates and run is difference of corresponding x abscissa.

The slope of the line that passes through the given points is 0

Slope of the line that passes through given points.

In graphing, we use Cartesian plane and assume y axis to be perpendicular and mostly we take height or depth related stuffs on y axis, that's why y ordinates will be considered to calculate the rise and x axis is like flat ground, thus x abscissa will be used to calculate the run.

Let the points' coordinates are denoted by symbols as:

[tex](x_1, y_1) = (-8,-3)\\ (x_2, y_2) = (-12, -3)\\ [/tex]

[tex]slope = \dfrac{rise}{run} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-3) - (-3)}{(-12)-(-8)} = \dfrac{0}{-4} = 0[/tex]

Slope is zero means you run whatever, the rise is 0, which means the line is not going to rise and stay flat (horizontal).

Learn more about slope of straight lines here:

https://brainly.com/question/1892775

Answer:

2635*'fhhdgjvsvaksgwksygwi at gwjsksgeieh egg ejei

Answer:

1745 centimeters.

Step-by-step explanation:

The first thing is to pass the kilometers to centimeters, we know 1 km equals 100000 cm, therefore:

1745 km * 100000 cm / 1 = 174500000 cm

Now, when applying the scale, we have that it is 1: 100000, so we apply the scale:

174500000 * 1/100000 = 1745

That is to say that on the map those 1745 kilometers represent 1745 centimeters.

Answer: 2

Step-by-step explanation:

Answer:  [tex]\bold{y=-\dfrac{1}{3}x+6}[/tex]

                [tex]\bold{y=-\dfrac{1}{4}x+\dfrac{25}{4}}[/tex]

Step-by-step explanation:

  x + 3y = 18

- x           -x

        3y = -x + 18

      ÷3     ÷3 ÷3

         y = (-1/3)x + 6

-3x - 12y = -75

+3x           +3x

        -12y = 3x - 75

       ÷-12    ÷-12 ÷-12

           y = (-1/4)x + (25/4)

Answer:

$21.23 - $5.25 = d

Step-by-step explanation:

Answer:

x = 19° ; Write 19° in the box ( don't forgot ° or answer will be incorrect )

Step-by-step explanation:

If XW ║YZ, we can tell that YW is a transversal, as YW ∩ XW, YX;

By alternate interior angles, ∠ ZYW ≅ ∠ YWX, so that ⇒

m∠ ZYW = m∠ YWX,

m∠ YWX = 2x, ⇒ given m∠ ZYW = 2x

By ∑ of angles in triangle Theorem;

m∠ YXW + m∠ XYM + m∠ YWZ = 180° ⇒ through substitution,

( 3x - 5 ) + 90 + ( 2x ) = 180 ⇒ now apply algebra,

3x - 5 + 90 + 2x = 180 ⇒ combine like terms,

3x + 2x - 5 + 90 = 180 ⇒ add,

5x + 85 = 180 ⇒ subtract 85 from either side of equation,

5x = 95, divide 5 on either side,

x = 19°

Solution; x = 19°

Answer:

(0,2), (1,-3)

Step-by-step explanation:

Answer:

The first point is on the y-axis where you are pointing at (0,2) Plot the next point down 5 and 1 to the right at (1,-3).

Step-by-step explanation:

In slope intercept form, the coefficient x is the slope. That's -5 in this example. The constant is the y-intercept. That's 2 in this example.

Answer:

C. 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle is p= 2(L+W). All you have to do is plug in your values.

Answer:

x=2.5

Step-by-step explanation:

Put the like terms together, like so:

10x-2x=34-14

The result is this:

8x=20

Simplify to get:

x=2.5

Answer:

x= 2 1/2 or x=2.5

Answer:

x = -2

-2(-2^2) + 4(-2)

-2(4) + -8

Answer:

C

Step-by-step explanation:

Since the question is asking for surface area and the dimensions are multiplied by 10, the surface area is multiplied by 10^2, or 100. (For area it would be 10^3, or 1000)

Answer:

Using the information given, we can use the point-slope form:

y - y1 = m(x - x1)

y - 7 = -1(x + 3)

y - 7 = -x - 3

  +7        +7

y = -x + 4, this is slope-intercept form

x + y = 4, this is standard form

Answer:

See below

Step-by-step explanation:

1) x=2-1

x=1

2) (x+1)(x+1)=2(x+1)

3) 10x-20 -11 = 4+3x

10x-3x=20+11+4

7x=35

x=5

Answer:

[tex]-7[/tex]

Step-by-step explanation:

[tex]f(-3)=-7[/tex]

Answer:

Skyla looks for the x-value at which the graph of the function [tex]2^x[/tex] intersects the horizontal line defined by the constant function: [tex]f(x)=128[/tex]

Step-by-step explanation:

Look for an answer that involves something like:

By looking for the point where both functions intersect, Skyla can find for which x value the following equation is verified: [tex]2^x=128[/tex]

She must read at which x-value the intersection occurs, and that is the answer.

Answer: Intersect at (7,128) and x=7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Blue is postive and Red is Negative so you would just write them down as seen and because x^2 is negative in the second equation there will be a subtraction sign to represent it.