How many solutions are there to the following system of equations?
-3y = -2x - 6
3 = x

Answer:

4x+(-3y)

Step-by-step explanation:

[tex]\\ \rm\longmapsto 4x+(-3y)[/tex]

[tex]\\ \rm\longmapsto 4x-3y[/tex]

Answer:

40

Step-by-step explanation:

u can draw a line at point c parallel to line ab

angle at d and lower part of c is interior angle so u can find the value at lower part of c that is 180-145=35

so point c 75-35=40 is upper part of point c

upper part of c and angle b is alternate angle so both angle are the same

angle cba is 40

Answer:

<CBA = 40°

Step-by-step explanation:

If AB is parallel to DE, you can make an irregular pentagon by continuing AB and drawing a line perpendicular to DE.  The sum of the interior angles of a pentagon is 540.  You can use this to solve for the supplement of <CBA, then subtract that from 180.  (I’m sure there’s an easier way, but I cant think of one right now).

540-90-90-145-75=x

140=x

<CBA=180-140= 40°

Answer:

<b = 80

<c = 80

Step-by-step explanation:

<b and 100 form a straight line so they add to 180

<b +100 =180

<b = 180-100

<b = 80

angles b and c are vertical angles and vertical angles are equal

<c = <b = 80

Answer:

No, the above polynomials aren't similar as they don't have a constant scale factor

The following polygons given in the question are not similar .

Similar polygons are those polygon which have the similar shapes but with different size and dimensions.  Similar polygons have also the scaling factor ration equal.

There are two polygons given in the question LMNO and WXYZ .

For both of the polygons, we are checking the adjacent sides of the polygons.

The value of LM = 35 but for the other polygon , its adjacent side WX = 18.

Similar LO = 63 and WZ = 10 .

Also the adjacent angles are not equal as ∠MNO = 50° and ∠ZWX = 50° .

Therefore, the polygons given have different scaling factor.

Thus, the following polygons given in the question are not similar .

To learn more about similar polygons, refer -

https://brainly.com/question/16058229

#SPJ2

Answer:

Answer:

c

Step-by-step explanation:

come on ! you can literally see that in the chart.

how many parts of the gray 3/8 are covered by the gray 1/4 ?

2 parts = 2/8 are clearly covered by 1/4.

2/8 is what part of 3/8 ?

it is the same question as "2 is what part of 3" ?

is 2 a quarter (1/4) of 3 ? no, 1/4×3 = 3/4 and not 2.

is 2 one third (1/3) of 3 ? no, 1/3 of 3 = 1/3×3 = 1 and not 2.

is 2 two thirds (2/3) of 3 ? ah, 2/3 × 3 = 2. that is correct !

is 2 three quarters (3/4) of 3 ? no, 3/4×3 = 9/4 and not 2.

once you have the same denominator, you can easily compare the numerators and ignore the denominators for such problems.

Answer:

Graph B

Step-by-step explanation:

Look at the first part of the function: 2-x , -7 ≤ x ≤ 5

If you put -7 in place of x you'll have:

2 - (-7) = 2 + 7 = 9

In the graph A, the point x = -7 have a y = 8, so cannot be the graph A. and it have to be graph B

Answer:

I think the perimeter is 50cm the solids is 600cm³

Step-by-step explanation:

Perimeter: (5×10)=50cm

Solids: divided with 2box(A box & B box)

Abox: 5cm x 5cm x 12cm

=300cm³

Bbox: 5cm x 12cm x 5cm

=300cm³

Solids:(Abox +Bbox) 300cm³ + 300cm³

=600cm³

I think, I'm sorry if it's wrong

answer is 19

the explanation is in the attachment

the Answer is irrational number

Answer:

1071.79 yd³

Step-by-step explanation:

radius r = 16/2 = 8 yd

height = 16 yd

volume = (1/3)×πr²h

= (1/3)×3.14×8²×16

= 1071.79 yd³ (rounded to the nearest tenth)

Answer:

sqrt 51

Step-by-step explanation:

You should use the pythagorean theorem, which states a^2+b^2=c^2. So the missing side length for the smaller triangle is sqrt{2^2+3^2}=sqrt{4+9}=sqrt{13}. And the side length x is sqrt{8^2-sqrt{13}^2}=sqrt{64-13}=sqrt{51}

Answer:

length = 48 feet , width = 32 feet

Step-by-step explanation:

Using

2W + 2L = 160 with W = L - 16 , then

2(L - 16) + 2L = 160 ← distribute and simplify left side

2L - 32 + 2L = 160

4L - 32 = 160 ( add 32 to both sides )

4L = 192 ( divide both sides by 4 )

L = 48

Substitute L = 48 into W = L - 16

W = 48 - 16 = 32

Thus length = 48 feet and width = 32 feet

Answer:

l = 48 cm

w =  32 cm

Step-by-step explanation:

length = l

Width w= l - 16

Perimeter = 160 ft

2*(l + w) = 160

2*(l + l -16) = 160

2*(2l - 16) = 160

Use distributive property

2*2l - 2*16 = 160

4l - 32 = 160  {add 32 to both sides}

4l = 160 + 32

4l = 192            {Divide both sides by 4}

l = 192/4

l = 48 cm

W = 48 - 16 = 32 cm

Answer:

1/12

Step-by-step explanation:

The reciprocal of any given x is 1/x. That makes the reciprocal of 12, 1/12.

Answer:

1/12

Step-by-step explanation:

12 is also written as 12/1, therefore to find the inverse of 12/1 the denominator now becomes the numerator and vice versa

Answer:

[tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 32[/tex]

General Formulas and Concepts:

Calculus

Integration

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^6_0 {g(x)} \, dx = 20[/tex]

[tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx[/tex]

Step 2: Integrate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

32

(I think I remember your other information correctly.)

Step-by-step explanation:

I think you said you were given

*Integral from x=-5 to x=0 of g was -14

*Integral from x=-5 to x=6 of g was 6

Asked to find integral( g(x) + 2 , from x=0 to x=6)

Yes this can be split into two integrals:

Integral(g(x), x=0 to x=6) + Integral(2, x=0 to x=6)

The last integral is easier... the antiderivative or 2 is 2x. So evaluate 2x as the limits and subtract. Always plug in the top limit first. 2(6)-2(0)=12-0=12

Let's start with the bigger interval from x=-5 to x=6 which was 6... and since we want to get rid of the interval from x=-5 to x=0 to find the integral of g from x=0 to 6, all we must do is do 6-(-14)=20.

Integral( g(x) + 2 , from x=0 to x=6)

=

Integral(g(x), x=0 to x=6) + Integral(2, x=0 to x=6)

=

20+12

=

32

area of shaded region is 537.5cm^2

Answer: 80

1 hour= 60mins

So to know how many words can she type in 1 min, we do the math "4800 : 60"

Answer:

(3+a)

Step-by-step explanation:

3a + a^2

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

a

Factor out an a in the numerator

a(3+a)

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

a

Cancel like terms

(3+a)

Step-by-step explanation:

[tex] \frac{3a + {a}^{2} }{a} \\ = \frac{3a}{a} + \frac{ {a}^{2} }{a} \\ = 3 + a \\ thank \: you[/tex]

Answer:

I found x for you, right there.

Answer:  x is 12 and y is 5

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

8 -5x+x^3-2x^4

Write the polynomial from highest power of x to lowest power of x

-2x^4+x^3-5x+8

The leading coefficient is the number in front of the highest power of x

-2

Answer:

-2

Step-by-step explanation:

-10 x 12 x -4 + 40 x -2 x 6 - 2

-120 x -4 - 80 x 6 - 2

480 - 480 - 2

0 - 2

-2

Answer:

x^5/y^7

Step-by-step explanation:

x^8 y^2 / x^3 y^9

We know that a^b/ a^c = a^(b-c)

Simplify the x terms

x^8 / x^3 = x^(8-3) = x^5

Simplify the y terms

y^2 / y^9 = y^(2-9) = y^-7

We know a^-b = 1/a^b

y^-7 = 1/y^7

Put the terms back together

x^5/y^7

Answer:

[tex] \frac{x - 6}{3} = 5 \\ x - 6= 3 \times 5 \\ x - 6 = 15 \\ x = 15 + 6 \\ x = 21 \\ thank \: you[/tex]

Answer:

15

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Then the greatest common factor is 15.

If both triangles are similar the ratio of sides will be same

[tex]\\ \sf\longmapsto \frac{x}{24} = \frac{6}{12} \\ \\ \sf\longmapsto 12x = 6 \times 24 \\ \\ \sf\longmapsto 12x = 144 \\ \\ \sf\longmapsto x = \frac{144}{12} \\ \\ \sf\longmapsto x = 12[/tex]

Answer: Keep the compass needle on A, and stretch the compass width to B

Step-by-step explanation: If AB is also a line segment, then the answer is: Keep the compass needle on A, and stretch the compass width to B.

Answer:

28 > x

Step-by-step explanation:

7>x/4

Multiply each side by 4

4*7 > x/4 *4

28 > x

Answer:

28 > x

Step-by-step explanation:

7>x/4

Multiply each side by 4

4*7 > x/4 *4

28 > x28 > x

Answer:

y = (1/4)x+1.5

Step-by-step explanation: