Factor the Trinomial 6x^2 + x - 40
(And please show the work/steps.)

(I think you need a-e, if not let me know and I will edit accordingly)

a: Divide both sides by 4

cm -> 12:8

3:2

b: Convert and divide both sides by 3

cm -> 150:9

50:3

c: Convert and divide both sides by 20

cm -> 100:80

5:4

d: Convert and divide both sides by 4

months -> 4:12

1:3

e: Convert and divide both sides by 250

g -> 2000:250

8:1

Hope this helps, have a nice day :)

Answer:

Shirt = $7

Sweatshirt = $12

Step-by-step explanation:

Let T represent shirts and S to represent sweatshirts

you bought 3T + 4S = 69

your friend bought 6T + 2S = 66 multiply second equation by -2

-2 x 6T + 2S = 66

-12T - 4S = -132 now find the sum of this and first equation

3T + 4S -12T - 4S = 69 - 132 add like terms

-9T = -63 divide both sides by -9

T = 7 this is the cost of one shirt to find the cost of a sweatshirt we replace the T in any equation with 7

3T + 4S = 69

3*7 + 4S = 69

21 + 4S = 69 subtract 21 from both sides

4S = 48 divide both sides by 4

S = 12

Answer:

hope it helps

.............

__________

[tex] \: [/tex]

a² = c² - b²

a² = 9² - (√65)²

a² = 81 - 65

a² = 16

a = √16

a = 4

Use Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=9^2-(√65)^2[/tex]

[tex]\\ \sf\longmapsto P^2=81-65[/tex]

[tex]\\ \sf\longmapsto P^2=16[/tex]

[tex]\\ \sf\longmapsto P=4[/tex]

Answer:

D. The polynomial is irreducible

Step-by-step explanation:

D. The polynomial is irreducible is the correct answer because x and -18 don't share anymore common factors for it to factorized/simplified, so x - 18 is as far as it can get.

Answer:

83 cm

Step-by-step explanation:

Let the length of the rectangle be L cm and the width be W cm.

L= 2W +3 -----(1)

Perimeter of rectangle= 2(length) +2(width)

2L +2W= 246 -----(2)

Substitute (1) into (2):

2(2W +3) +2W= 246

Expand:

4W +6 +2W= 246

Simplify:

6W +6= 246

Divide both sides by 6:

W +1= 41

W= 41 -1

W= 40

∴ width of the rectangle is 40cm.

Substitute value of W into (1):

L= 2(40).+3

L= 80 +3

L= 83

Thus, the length of the rectangle is 83 cm.

Answer:

8987678

Step-by-step explanation:

2x^2 + 6x - 7 - 9x^2 + 11

(2x^2 - 9x^2) + (6x) + (-7 + 11)

-7x^2 + 6x + 4

Hope this helps!! :)

Answer:

=- 7x^2+6x+4

Step-by-step explanation:

The x-intercept occurs when y = 0. Therefpre if we make y = 0, and solve for x, then we can find the x-intercept.

since    x − 7(0) = –10

⇒             x − 0 = –10

                     x = -10

Answer:

M = 26 degrees, N = 64 degrees

Step-by-step explanation:

When 2 angles are complementary, it means they add up to 90 degrees. We can set up a system of equations to represent the situation.

M is measure of angle M

N is measure of angle N

M + N = 90 degrees

M = N - 38 (measure of angle M is 38 degrees less than measure of angle N)

We can then use the second equation to substitute in M in the first equation with N - 38

N - 38 + N = 90

2N - 38 = 90

2N = 128

N = 64 degrees

We plug this value back into the first equation to find M

M + 64 = 90

M = 26 degrees

The measure of ∠M and ∠N are 26° and 64° respectively.

Supplementary angles sum to 180°.If two angles are supplementary their sum is 180° and sum of two complementary angles is 90°.

According to the given question angle M and angle N are complementary.

∴ Sum of these two angles ∠M + ∠N = 90°.

Assuming measure of ∠N to be x°,So the measure of ∠M is (x-38)°.

Therefore, x + (x-38) = 90°.

2x = 90° + 38°

2x = 128°.

x = 64°.

∴ The measure of ∠M is (64 - 38 )° = 26°.

learn more about angles here :

https://brainly.com/question/7116550

#SPJ2

Answer:2

1+1=2

NO WAY

Answer:

5.

Step-by-step explanation:

9y - 6 + 51 = 90

9y + 45 = 90

9y = 45

y = 5.

27.768

Multiply 890 and 312

This equals 277680

We know that there were 4 numbers behind a decimal point

Therefore the last four numbers of 277680 need to be behind a decimal point as well

So you're answer is 27.7680 or 27.768

Answer:

100

Step-by-step explanation:

1/4 of 100 is 25. 25-3=22, which is at least 2.

Answer:

A. (4, -4)

Step-by-step explanation:

Equation form x = 4, y = −4

Answer:

Option A

Step-by-step explanation:

5x + 2 y = 12 -----------(I)

5x - 2y = 28 ------------(II)

Add equation (I) & (II). So, y will be eliminated and we will get the value of x

(I)     5x + 2y = 12

(II)     5x -2y  = 28    {Now add}

         10x      =  40

                  x = 40/10

x = 4

Plugin x = 4 in equation (I)

5*4 + 2y = 12

20 + 2y = 12

        2y = 12 - 20

        2y = -8

          y = -8/2

y = -4

Answer:

In the given equation we need to find out the value of x to make this equation true.

Answer:

Corroponding side lengths are equal

Step-by-step explanation:

Two triangles may have the same areas, but the sides might be different or in different spots than each other. The same goes for perimeter, therefore it doesn't mean that they are congruent. If two triangles had the same angle measures, it could still have any size side lengths. When corrosponding side lengths are equal, they have the same angles as well, so they are only congruent in this example.

Hope this helps :)

Answer:

18+3

Step-by-step explanation:

3x6= 18

and 18+3=21

Step-by-step explanation:

so let's say

•(x + 60) = <a

•2x = <b

so

•<a = <z & <b = <y

&

•<a + <b = 180

(x + 60) + 2x = 180

3x + 60 = 180

3x = 180 - 60

3x = 120

x = 40

• <a = (x + 60)

= 40 + 60

= 100

• <b = 2x

= 2 × 100

= 200

• <y = <b

= 200

• <z = <a

= 100

Step-by-step explanation:

so in a 4 sided figure all the angles measure to 360º in total

as well as in this case due to the two lines being parallel z=x+60  and y=2x

The easiest way for me is to write that all the angles = 360.

x+60+x+60+2x=2x=360

6x+120=300                   simplify

6x=180                            divide

x=30

so the angles are all 90º if you find each of them

Answer:

24 Combinations

Step-by-step explanation:

There are 8 people and there is a possibility that each can be either 1st, 2nd, 3rd. You would multiply 8 x 3 to get 24 or add 3 eight times

Answer:

Step-by-step explanation:

∠8 = ∠6

∠8 = 7x - 36

∠8 +∠9 = 180   {Linear pair}

7x - 36 + 5x + 12 = 180

7x + 5x - 36 + 12 = 180

   12x  - 24 = 180

            12x = 180 + 24

           12x   = 204

               x = 204/12

x = 17

∠6 = 7x - 36  = 7*17 - 36 = 119 - 36 = 83

∠11 = ∠6    {Vertically opposite angles}

∠11 = 83

Answer:

its 35

Step-by-step explanation:

Answer:

The slopes of both are m=6

Length of AB=6.082

Length of the image: 3.5 * 6.082 = 21.287

Answer:

Step-by-step explanation:

Answer:

8. m∠1 = 64, m∠2 = 26, m∠3 = 36

9. m∠1 = 73, m∠2 = 58, m∠3 = 107, m∠4 = 49, m∠5 = 131

10. m∠1 = 34, m∠2 = 52, m∠3 = 38, m∠4 = 94, m∠5 = 56, m∠6 = 38

11. m∠1 = 62, m∠2 = 71, m∠3 = 109, m∠4 = 35, m∠5 = 109, m∠6 = 29, m∠7 = 47, m∠8 = 62

Step-by-step explanation:

8. m∠1 = 180 - (75 + 41) = 180 - 116 = 64

m∠2 = 90 - 64 = 26

m∠3 = 90 - 54 = 36

9. m∠3 = 180 - 73 = 107

m∠1 = 73

m∠2 = 180 - (73 + 49) = 180 - 122 = 58

m∠4 = 49

m∠5 = 180 - m∠4 = 180 - 49 = 131

10. m∠6 = 90 - 52 = 38

m∠3 = m∠6 = 38, m∠2 = 52

m∠5 = 180 - (86 + 38) = 180 - 124 = 56

m∠1 = 90 - 56 = 34

m∠4 = 180 - (34 + 52) = 180 - 86 = 94

11. m∠2 = 71

m∠3 = m∠5 = 180 - 71 = 109

m∠1 = 180 - (47 + 71) = 180 - 118 = 62

m∠4 = m∠2 - 36 = 71 - 36 = 35

m∠6 = m∠2 - 42 = 71 - 42 = 29

m∠7 = 47

m∠8 = m∠1 = 62

Answer:

Y=7.5cm

Step-by-step explanation:

Y=12.5cm-10cm=2.5cm

=5cm+2.5cm=7.5cm

Given :-

To find :-

Solution :-

General Equation of slope intercept form ,

Here c = 0 , so its y intercept will be (0,0) . Hence it will pass through origin .