the answer options are

6.75
-1.5y
-3x

thank you :))

Answer:

Q.1 a²+10a+24

splitting the middle.

a²+6a+4a+24

=a(a+6)+4(a+6)

(a+6)(a+4)

Q.2 x²+9x+18

splitting the middle

x²+6x+3x+18

x(x+6)+3(x+6)

(x+6)(x+3)

Answer:

4.1

Step-by-step explanation:

61.50/15 = 4.1

per liter= AED 4.1

Answer:

Look at explanation

Step-by-step explanation:

Ok,

I got...

radius of convergence = 1

interval of convergence = 3 ≤ x ≤ 5

To find the area of a rectangle, just multiply the dimensions.

36

x60

00

360

1800

2160

The area of the rectangle is 2,160 in sq

---

hope it helps

Answer:

176

Step-by-step explanation:

First term (a) = 29

Common difference (d) = 32 - 29 = 3

For calculating the 50th term , n = 50

Now

[tex]t_{50} = a + ( n - 1) d\\t_{50} = 29 + ( 50 - 1 ) *3\\ t_{50} = 29 + 147\\t_{50} = 176[/tex]

hope it will help :)

Answer:

Step-by-step explanation:

Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.

So, we have the values of angles x and y as 90° and 64°.

90 + 64 = 154°  ⇒ Add them up.

Now, subtract 154 from 180 to get ∠z.

180 - 154 = 26°

Answer:

either c or b that's what I think

Answer:

((3+5)/2,(6+11)/2)=(4,8.5)

Answer:

[tex]\Large \boxed{\sf 384 \ m^2}[/tex]

Step-by-step explanation:

Surface area ⇒ area of 2 triangles + area of 3 rectangles

[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]

For a prism we take into account the following:

Taking into account the above, we first find the lateral area:

In the triangular base, the height divided into 2 small right triangles of Hypotenuse = 5 and Height = 3. By Pythagoras we have this:

9 + base² = 25

base² = 25 - 9

base² = 16

base = 4

From this we obtain that the bases of the small right triangles measure 4 therefore the triangular base is isosceles where we have:

The perimeter of the triangular base will be the sum of the sides, that is:

Perimeter = 5 + 5 + 8

⇒ Perimeter = 18

Since the perimeter of the base of the prism is 18 and the height is 20, we replace in the equation for the lateral area:

Side area = (18) (20)

⇒ Lateral Area = 360 m²

Now we find the area of ​​the triangular base with base = 8 and height = 3:

[tex]\bold{Area=\dfrac{(base) (height)}{2} }\\\\\\Area=\dfrac{(8)(3)}{2} \\\\\\Area=\dfrac{24}{2}\\\\\\\boxed{\bold{Area=12}}[/tex]

Since we have that the lateral area is 360m² and the area of ​​the triangular base is 12m², we replace in the equation of the total area:

Total area = 360 + 2 (12)

Total area = 360 + 24

Total area = 384 m²

The total area of ​​the prism will measure 384m²

Answer:

17/7=2.42(approximately) should be on each side of the goal

Answer:

(x,y) ==> (x+2, y-1)

Step-by-step explanation:

Answer:

This is your answer

Answer:

80

Step-by-step explanation:

80+20=100

Answer:

280 soldiers

Step-by-step explanation:

Given data

Acceptance rate= 12%

Number of applicants= 2,330 soldiers

Let us find 12% of 2330

= 12/100*2330

= 0.12*2330

=279.6

Therefore, approximately 280 soldiers will be accepted

Answer:

Value of equation = 144

Step-by-step explanation:

Given:

5g + 7g + g(5 + 7)

when g = 6

Find:

Value of equation

Computation:

5g + 7g + g(5 + 7)

5g + 7g + g(12)

5(6) + 7(6) + (6)(12)

30 + 42 + 72

Value of equation = 144

Answer:

the second option is the right one

Step-by-step explanation:

you have to multiply the powers for 3^5

Answer:

Option B will be your answer

Step-by-step explanation:

hope it helps you

have a great day!!

Answer:

See diagram below.

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

Explanation:

Start at the lower left corner of the entire figure. Move 20 ft directly to the right until reach the end of the driveway at the bottom. Now move 10 ft up so you reach the other side of the driveway (the 26 ft side). In the process of moving 10 ft up, mark a new line segment. I've done so in red in the diagram below.

I've also drawn a green box. The red line and green box form a shape of a flag on a flagpole. The pole being 10 ft tall and the green box (flag) is a 6 by 3 rectangle. The 6 is from 26-20 = 6 and the 3 is from 10-7 = 3. Note how I'm subtracting the opposite side values to help figure out the dimensions of this green box.

The 10 ft by 20 ft portion of the driveway is 10*20 = 200 square feet. The green box adds on another 18 sq ft because 6*3 = 18. In all, we have 200+18 = 218 square feet for the driveway.

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

If you want to know the area of the garden, then we first compute the overall area of everything shown. That's 32*14 = 448 square feet. Subtract off the driveway's area to get 448-218 = 230. Therefore, the garden's area is 230 square feet.

Answer:

JUst find the middle and fold it in half

ain't no equations needed.

Standard form is y = ax^2 + bx + c, where a, b, and c equal all real numbers. You can use the formula x = -b / 2a to find the line of symmetry.

Answer:

1. -25

2. 2.1

Step-by-step explanation:

-1/2(x + 5) = 10

divide both sides by 2.

-1(x + 5) = 20

-(x + 5) = 20

-x = 20 + 5

x = -25

k/3.5 + 7.4 = 8

2k/7 +37/5 = 8

10k = 280 - 259

10k = 21

k = 21/10 (2.1)

Answer:

1.x=15

2.k=2.1

Step-by-step explanation:

1.-1/2(x+5)=-10

 -x+5/2=-10 multiply both sides by 2

  -x-5=-10

  -x=-20+5

 -x=-15 multiply both sides by -1

  x=15

2.k/3.5+7.4=8

 k/3.5=8-7.4

  k/3.5=0.6

 multiply both sides by 3.5

  k=2.1

Answer:

the answer is d

Step-by-step explanation:

I'm smurt

Answer:

I think 990 because if u subtract 1,000-10 it is 990 so its equal

Answer:

Use Trigonometric formulae to simplify expressions

Step-by-step explanation:

Re-order to group the x and y,

Sin(y) / Sin(a+y) = x

to differentiate apply d/dx to both sides

[tex]\frac{d}{dx}[/tex]Sin(y) / Sin(a+y) = [tex]\frac{d}{dx}[/tex]x

use division rule on left side which will give

[tex]\frac{dy}{dx}[/tex]Cos(y)Sin(a+y) - [tex]\frac{dy}{dx}[/tex]Cos(a+y)Sin(y) / Sin²(a+y) = 1

Group them so dy/dx is on the left hand side:

[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / Cos(y)Sin(a+y) - Cos(a+y)Sin(y)

Apply trigonometric sum formula to expand Sin(a+y) and Cos(a+y),

[tex]\frac{dy}{dx}[/tex] =  Sin²(a+y) / Cos(y)[Sin(a)Cos(y) + Cos(a)Sin(y)] - Sin(y)[Cos(a)Cos(y) - Sin(a)Sin(y)]

Simplify it

[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (Cos²(y) + Sin²(y))(Sin(a))

[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (1)(Sin(a))

Answer:

Step-by-step explanation:

Simple interest is

I=Prt

I=11500(0.10)(60/360)

I=$191.67