Find the area for each trapezoid.​

Answer:

y=-100x+700

Step-by-step explanation:

Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100

So your slope would be m=-100

To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:

y=mx+b (Slope-intercept form)

y=-100x+b (Equation so far)

200=-100(5)+b [Plugging in (5,200)]

200=-500+b

700=b

So since the y-intercept is b=700, then the equation of the line is y=-100x+700

Answer:

x=9  x=-5

Step-by-step explanation:

x² − 4x + 4 = 49

(x-2)²= 49

x-2= 7  or    x-2=-7  

x=9  or    x=-5

Answer:

[tex]Area = 4h^2-56h +144[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required: The base area.

From the question, we have the initial dimensions to be:

[tex]Length = 12[/tex]

[tex]Width = 12[/tex]

h inch were removed from each corner to form the new base. So, the dimension of the new base is:

[tex]Base\ Length = Length - h - h[/tex]

[tex]Base\ Length = Length - 2h[/tex]

[tex]Base\ Width = Width - h-h[/tex]

[tex]Base\ Width = Width - 2h[/tex]

The area of the base is calculated by multiplying the base dimensions

[tex]Area = Base\ Length * Base\ Width[/tex]

[tex]Area = [Length - 2h] * [Width - 2h][/tex]

[tex]Area = [12 - 2h] * [12 - 2h][/tex]

Expand

[tex]Area = 12[12 - 2h] -2h [12 - 2h][/tex]

[tex]Area = 144 - 28h -28h + 4h^2[/tex]

[tex]Area = 144 -56h + 4h^2[/tex]

Rewrite as:

[tex]Area = 4h^2-56h +144[/tex]

Answer:

5.4 units

Step-by-step explanation:

The diagonal AC has length

|AC|  =  √(2² + 5²) = √29 ≈ 5.4 units.

The horizontal distance from A to C is 2 units; the vertical distance is 5 units.  That's where the 2² and 5² come from.  

Answer:

m<D = 52°

Step-by-step explanation:

x + 20 + 3x + 32 = 180

4x + 52 = 180

4x = 128

x = 32

m<D = x + 20 = 32 + 20 = 52°

Answer:

They will mirror each other, but only if they have the same y value. Otherwise they will simply be on opposite sides of the Y line.

Hope this helps :)

Answer:

The equation for the amount of tax (8%) T on an item that costs P dollars is:

T=0.08P

Step-by-step explanation:

Answer: [tex]2514.28\ cm^3[/tex]

Step-by-step explanation:

Given

The height of the cylinder is [tex]h=8\ cm[/tex]

Circumference of the base is [tex]20\pi \ cm[/tex]

suppose 'r' is the radius of the cylinder

[tex]\Rightarrow 2\pi r=20\pi\\\Rightarrow r=10\ cm[/tex]

The volume of a cylinder is [tex]V=\pi r^2h[/tex]

[tex]\Rightarrow V=\pi \times 10^2\times 8=2514.28\ cm^3[/tex]

Answer:

100 feet

Step-by-step explanation:

I did the test hope it helps a lot have a good day

Answer:

$18

Step-by-step explanation:

15 x 6 = 90

12 x 6 = 72

90 - 72 = 18

He saves 18 dollars

There are no pictures with the multiple choice answers.

My guess would be a line graph

Answer:

20

Step-by-step explanation:

All you do is find an exponent that adds up to 24

Answer:

non proportional

Step-by-step explanation:

Answer:

3.45782 x 10^4

Step-by-step explanation:

Answer:

Step-by-step explanation:

7.2^6

Answer:

[tex]7.2^{6}[/tex]

Step-by-step explanation:

The answer is [tex]7.2^{6}[/tex] because your multiplying 7.2 6 times.

Hope this helps!

Answer:

42 (d)

Step-by-step explanation:

the longest side of the smaller one is 6, each side of the larger one is just 3x the length of the smaller side. I hope that makes sense, it's just a ratio. Hope this helped! Good luck!

Answer:

The perimeter of the larger triangle is 42 inches.

Step-by-step explanation:

Since the question mentions that the two triangles are similar, we must establish proportions using what we already know.

Smaller triangle: 3 + 5 + 6 = 14

Larger triangle: x + y + 18 = perimeter

Determine the GCF (greatest common factor):

The GCF is 3.

Now, subsitute the values for x and y by solving via the GCF.

Larger triange:  9 + 15 + 18 = perimeter

9 + 15 + 18 = 42

Hope this helps; have a wonderful day!

Answer:

y=5x or y=5x+0

Step-by-step explanation:

there is a slope of 5 and it has no setoff

Answer:

d = 225 m

Step-by-step explanation:

Initial speed, u = 5 m/s

Final speed, v = 40 m/s

Time, t = 10 s

Acceleration,

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{40-5}{10}\\\\a=3.5\ m/s^2[/tex]

Let d is the distance covered. Using second equation of motion to find it i.e.

[tex]d=ut+\dfrac{1}{2}at^2\\\\d=5\times 10+\dfrac{1}{2}\times 3.5\times 10^2\\\\d=225\ m[/tex]

So, it will cover 225 m.

Answer:

a = 38 degree

b = 54 degree

c = 54 degree

Step-by-step explanation:

a = 180 - 142 = 38 ( angle on a straight line is equal to 180)

To determine the value of b, we have to find the other missing angle in the triangle.

the value of the missing angle is 38

Alternate angles are equal. the missing angle is alternate to angle b which has a value of 38

b = 180 - (38 + 88) = 54

c = 54

Answer: [tex]10\ cm^3[/tex]

Step-by-step explanation:

Given

The surface area of a rectangular prism is [tex]34\ cm^2[/tex]

Width of prism [tex]w=1\ cm[/tex]

Length of prism [tex]l=2\ cm[/tex]

height of prism [tex]h=x\ cm[/tex]

Surface area is given by

[tex]S.A.=2[lw+wh+hl][/tex]

Put values

[tex]34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm[/tex]

Now, the volume of Prism is given by

[tex]V=l\times w\times h[/tex]

[tex]\Rightarrow V=2\times1\times 5=10\ cm^3[/tex]

Answer:

5.

Step-by-step explanation:

The mode is the number that occurs the most in a data set.

Here, the number 5 appears the most.

Answer:

The answer is 5

Step-by-step explanation:

The mode is the value that appears most frequently in a data set.

Hope this helps! Have a nice day!

Answer:

225%

Step-by-step explanation:

Answer:

A (skewed to the left)

Step-by-step explanation:

28 is a much smaller number (age) than the rest of the data, so it will be a negatively skewed distributio, aka, skewed to the left.

“A left skewed distribution is sometimes called a negatively skewed distribution because it's long tail is on the negative direction on a number line.”

“A distribution skewed to the left is said to be negatively skewed. This kind of distribution has a large number of occurrences in the upper value cells (right side) and few in the lower value cells (left side).”

Answer:

Point above the line is an outlier

Step-by-step explanation:

If the point is above the given line then it is clear that it does not fit the best fit curve (which is in this case is the line represented by equation y=4.413x+0.377)  

Point above this line means that the point is an outlier which does not fit the curve.

Answer:

Sure what are the questions?

Step-by-step explanation:

Trusted helper Ace Carlos

Answer:

you didnt put any questions.

Step-by-step explanation: