Referring to the figure, find the area of the
trapezoid shown.

Step-by-step explanation:

Formula for finding midpoint of a line segment :

[tex] (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

you should have both the points of line segment.Just subtitute points in the formula and determine mid points.

Note: if you have any question about it you can freely ask. Thanks

Answer: x= 1, [tex]\frac{1}{5\\}[/tex]

Step-by-step explanation:

The quadratic equation is

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

and

[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

So we just need to sub in the proper numbers from the equation given, in this case, it would result in

[tex]x=\frac{6+\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]

and

[tex]x=\frac{6-\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]

Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers

x= 1, [tex]\frac{1}{5\\}[/tex]

Answer:

Step-by-step explanation:

Answer:

Formula

V=a^2h/3

a is the base area

h is the height

V= 16^2×15/3

V=1280cm^3

Hey there!

The formula to find the perimeter of a rectangle is "P=2(l+w)".

Hope this helps!

Have a great day! :)

Answer:

formula to find the perimeter of rectangle is

hope it helps

stay safe healthy and happy.

Answer:             y=x3+2x2−130

Step-by-step explanation:

Hope this helps!

Answer:

m=11/3,y intercept is (0,-18)

Step-by-step explanation:

-3y=54-11x

y=-18+11/3x

the slope is 11/3

the y intercept is (0,-18)

Answer:

The perimeter of the rectangle is 28m

Step-by-step explanation:

Perimeter of a square = 4 x side length

20 = 4 x side length

side length = 20/4 = 5m

width of rectangle = 5m

length of rectangle = 9m

Perimeter of rectangle = 2(l + w)

= 2(9 + 5)

= 2(14)

= 28m

2/5(4) + 2/5(10y)

8/5 +20y/5

8/5 + 4y

Answer:

8/5 + 4y

Step-by-step explanation:

[tex]\frac{2}{5}(4)=\frac{8}{5}\\\\\frac{2}{5}(10y)=4y\\\\\frac{8}{5}+4y[/tex]

Answer:

The choose C.

I hope I helped you^_^

Answer:

Sorry

Step-by-step explanation:

For my Poor H. And Coordinates

Answer:

[tex] \sin(45 ) = y \div 11 \sqrt{6} [/tex]

[tex] \frac{1}{ \sqrt{2} } = \frac{y}{11 \sqrt{6} } \\ \\ y = \frac{11 \sqrt{6} }{ \sqrt{2} } \\ y = 11 \sqrt{3} [/tex]

[tex] \tan(60) = \frac{x }{11 \sqrt{3} } \\ \\ \sqrt{3} = \frac{x}{11 \sqrt{3} } \\ x = \sqrt{3} \times 11 \sqrt{3} \\ x = 33[/tex]

Answer:

15

Step-by-step explanation:

rises 8 floors = 15 + 8 = 23

drops 10 floors = 23 - 10 = 13

rises 2 floors = 13 + 2 = 15

Step-by-step explanation:

Root:(1/2, 0)

Domain: x∈R

Range: y∈R

Vertical intercept: (0, 1)

Answer:

20-(30-50)×10

20 - × - 20 ×10

20+20×10

20+200

220

Answer:

25% and 75%

Step-by-step explanation:

15+45=60

girl =  [tex]\frac{15}{60} *100[/tex] = 25%

boy = [tex]\frac{45}{60} *100[/tex] = 75%

Answer:

1/2 is the answer because its half

Answer:

1 / 2

Step-by-step explanation:

10 is to 5 as  10 (5/10) = 50/10 = 5

8 is to 4 as 8 ( 4/8 ) = 32/8 = 4

6 is to 3 as 6 ( 3/6 ) = 18/6 = 3

Each of the scale factors are 5/10, 4/8, 3/6 which equals 1/2.

Answer:

x = 1 , x = 1/5

Step-by-step explanation:

Answer: a) 191200 b) 557.67 c) 562.98

Step-by-step explanation:

a) 239000 times .8 (aka 80%) = 191200

b) 191200/(12 times 30) = 531.11

531.11 times 1.05 (5%) = 557.667

Round to nearest cent: 557.67

c) 191200/(12 times 30) = 531.11

531.11 times 1.06 (6%) = 562.978

Round to nearest cent: 562.98

Answer: Yes, (x+4) is a factor of the given polynomial.

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

Explanation:

We can use the remainder theorem here.

Consider any polynomial p(x). The binomial x-k will be a factor of p(x) if and only if p(k) = 0. I'm using the special case of the remainder theorem, where we look for a remainder of 0.

The binomial x+4 is the same as x-(-4). Compare this to x-k to see that k = -4.

Then plug this k value into the p(x) polynomial given

p(x) = 2x^3 + 16x^2 + 22x - 40

p(-4) = 2(-4)^3 + 16(-4)^2 + 22(-4) - 40

p(-4) = 2(-64) + 16(16) + 22(-4) - 40

p(-4) = -128 + 256 - 88 - 40

p(-4) = 0

This shows that dividing p(x) = 2x^3 + 16x^2 + 22x - 40 over x+4 leads to a remainder of 0. Therefore, (x+4) is a factor of p(x).

Answer:

2nd one

Step-by-step explanation:

as it is a negative number so the point on the number line should move backwards

[tex]\\ \sf\longmapsto m<1+m<CUS=m<CUB[/tex]

[tex]\\ \sf\longmapsto m<1+48=78[/tex]

[tex]\\ \sf\longmapsto m<1=78-48[/tex]

[tex]\\ \sf\longmapsto m<1=30[/tex]

Answer:

below

Step-by-step explanation:

I'm not sure what variable you want to solve for but I'll solve for w and m if needed.

p = wm

~Divide w to both sides

p/w = m

p = wm

~Divide m to both sides

p/m = w

Best of Luck!

Answer:

2? equation does not have a solution

Step-by-step explanation:

The solution is : Option A is correct; Point Q is outside circle W

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

If the circle is given as having center W, this means  the radius starts from point W and ends at any point on the circumference.

The radius has been given as 5 units, and this also means any measurement from point W to the circumference is either equal to or less than the radius which is 5 units.

Any measurement that is greater than 5 would be outside of the circumference.

we have,

Point Q is 6 units away from point W, therefore point Q is outside the circumference, that is, outside circle W.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

complete question:

Circle W has a center of point W and a radius of 5 units. Point Q is 6 units away from point W. Where is point Q?

A)outside circle W

B)inside circle W

C)on circle W

D)cannot be determined