what is the area of the trapezoid?

Answer:

The hole is at (5,7)

Step-by-step explanation:

x^2 − 3x − 10

-------------------

x−5

Factor the numerator

(x-5)(x+2)

-------------------

x−5

There is a hole at x=5 since it will cancel in the numerator and the denominator

f(x) = x+2  and letting x = 5

f(5) = 5+2

The hole is at (5,7)

Step-by-step explanation:

I hope it helps...I just put it in point slope form

Answer:

The slope is 3/2 and a point on the line is (-7,-4)

Step-by-step explanation:

Point slope form of a line is

y -y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y+4=-3/2(x+7)

y - -4 = 3/2 ( x - -7)

The slope is 3/2 and a point on the line is (-7,-4)

Answer:

-14:9

Step-by-step explanation:

Given :

3 · (7 – 2) – 23 – (10 – 4) : 9

Now,

3 · (7 – 2) – 23 – (10 – 4) : 9

21-6-23-6:9

21-35:9

-14:9

Answer will be -14:9

Répondre:

25

Explication étape par étape :

La question exigeait qu'un numéro de départ soit choisi ; 2 ajoutés au numéro de départ et le carré du résultat est effectué :.

Numéro de départ = - 7

Ajouter 2 à - 7

2 + - 7 = 2 - 7 = - 5

Carré du résultat /

-5² = 25

Answer:

A=36

Step-by-step explanation:

A=1/2(a+b)h

=1/2[(4+8)6]

=1/2[(12)6]

=1/2(72)

=36

Answer:

you don't put the L value

Answer:

they are equal

Step-by-step explanation:

The triangle with sides 5, 12, 13 is a right triangle because

a^2+b^2 = c^2

5^2+12^2 = 13^2

25+144 = 169

169 = 169

I'm using the pythagorean theorem converse.

Answer:

Step-by-step explanation:

height of a triangle=4x-1

base=5x+2x-3

=7x-2

area of triangle=base*height/2

=(7x-2)(2x-3)/2

=7x*2x-7x*3-2*2x+2*3/2

=14x^2+21x-4x-6/2

=14^2+17x-6/2

area of rectangle=l*b

(7x-2)(4x+1)

7x(4x+1)-2(4x+1)

4x*7x+7x*1-2*4x-2*1

=28x^2+7x-8x-2

=28x^2-x-2

area of shaded part=area of rectangle-area of triangle

=[tex](28x^2-x-2 )-\frac{14x^2+17x-6}{2}[/tex]

Answer:

The range is all real numbers for the inverse

Step-by-step explanation:

f(x) = 2x+1

The domain is all real numbers

The range is all real numbers

For the inverse, the domain becomes the range

The range becomes the domain

The domain is all real numbers

The range is all real numbers

Step-by-step explanation:

Given the function f(x) = 2x + 1

find : the range of the inverse of f(x) = 2x + 1

solutions:

f(x) = 2x + 1

y = 2x + 1

2x = y - 1

x = (y -1)/2

f~¹(x) = (x-1) /2

since the denominator is the constant number, so the range of function is all Real numbers

Given:

The inequality is:

[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]

To find:

The inequality after isolating the y-term.

Solution:

We have,

[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]

On simplification, we get

[tex]y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)[/tex]

[tex]y+2>2x+3[/tex]

Subtracting 2 from both sides of the above inequality, we get

[tex]y+2-2>2x+3-2[/tex]

[tex]y>2x+1[/tex]

Therefore, the required inequality is [tex]y>2x+1[/tex].

Answer:

Toney buys the coat for $ 14.8.

Step-by-step explanation:

Cost of coat =$ 22

Mark up by 75 %

discount = 10 %

Let toney pay $ R for the coat.

So, according to the question

R + 75 % R = 1.75 R

Now the cost is

1.75 R - 15 % of 1.75 R = 22

1.75 R - 0.2625 R = 22

R = 14.8

So, he buy the coat for $ 14.8.  

Answer:

[tex] \frac{7}{2} \\ = 3 \frac{1}{2} [/tex]

Answer: (a)

Step-by-step explanation:

Given

The given graph is y=-2x+6 and it changed to y=3x+2

The slope of the graph determines the steepness

Slope changes from -2 to 3. So, latter graph is more steeper.

Also, y intercept is obtained by putting x as 0

Y intercept changes from 6 to 2 i.e. decrease of 4 units

Hence, option (a) is correct.

Answer:

this problem has no solution

Step-by-step explanation:

first of all, expand

[tex]6x + 10 = 10x - 20 - 4x[/tex]

Then, simplify 10x - 20 - 4x to 6x - 20

[tex]6x + 10 = 6x - 20[/tex]

then, cancle 6x on both sides.

[tex]10 = - 20[/tex]

and since 10 = -20 is false, there's no sulotion.

[tex]no \: solution[/tex]

Answer:

X = 29

Y = 8

Step-by-step explanation:

X - y = 21

X = 2y + 5

Substitute:

2y+5-y= 21

2y = 16

Y = 8

X-8 = 21

X = 29

Answer:

256 ft

Step-by-step explanation:

cross multiply

4x = 32(32)

4x = 1024

x =256

256 ft

Answer:

Use papa math

Step-by-step explanation:

Use papa math

Answer:

Its 114 degrees

Step-by-step explanation:

<ABD = 65 degrees

<DBC = 49 degrees

Angle ABC is basically the 2 angles together, to get 114 degrees all you have to do is add the degrees together to get the number for Angle ABC

Hope this Helpsss :)))

Answer:

It is true

Step-by-step explanation:

Hopes this help

Answer: Altitude

Step-by-step explanation:

Altitude is perpendicular line made from vertex to side

The line PQ is the altitude, the correct option is C.

A triangle is a polygon with three sides, three vertices and three angles.

The Triangle PSR is an obtuse angle triangle,

The line PQ makes 90 degree with the line SR extended up to Q.

The line is the height of the triangle.

To know more about Triangle

https://brainly.com/question/2773823

#SPJ5

Answer:

40

Step-by-step explanation:

Let the numbers be 2x and 3x

Then their L.C.M. = 6x

BUT also their LCM=48

6x=48

x=48/6

x=8

So,

First number=2x=2x8=16

Second number=3x=3x8=24

The numbers are 16 and 24.

Hence required sum =(16+24)=40

So none of the options are correct

Answer:

The answer would be the third one.

Answer:

Future population = 720800

Step-by-step explanation:

Below is the calculation of population after 15 years.

Given the present population = 340000

Growth in population = 5.25%

Use below formula to find the values:

Future population = Present population ( 1 + r)^n

Future population = 340000 ( 1 + 5.25%)^15

Future population = 340000 (2.15)

Future population = 720800