Factor the algebraic expression: 28a + 12

Given:

In [tex]\Delta QRS, \overline{QR}\cong \overline{SQ}[/tex] and [tex]m\angle Q=114^\circ[/tex].

To find:

The [tex]m\angle S[/tex].

Solution:

In [tex]\Delta QRS[/tex],

[tex]\overline{QR}\cong \overline{SQ}[/tex]

It means the triangle QRS is an isosceles triangle. We know that the base angles of an isosceles triangle are congruent and their measures are equal.

[tex]\angle R\cong \angle S[/tex]      [Base angles of isosceles triangle QRS]

[tex]m\angle R=m\angle S[/tex]            ...(i)

In [tex]\Delta QRS[/tex],

[tex]m\angle Q+m\angle R+m\angle S=180^\circ[/tex]

[tex]m\angle Q+m\angle S+m\angle S=180^\circ[/tex]        [Using (i)]

[tex]114^\circ+2m\angle S=180^\circ[/tex]

[tex]2m\angle S=180^\circ-114^\circ[/tex]

[tex]2m\angle S=66^\circ[/tex]

Divide both sides by 2.

[tex]m\angle S=\dfrac{66^\circ}{2}[/tex]

[tex]m\angle S=33^\circ[/tex]

Therefore, the [tex]m\angle S[/tex] is 33 degrees.

Answer: (I am not a maths moderator)

x=4

Step-by-step explanation:

Multiply the exponents

(2x-4)^12=(4^2)^6 (exponents multiply so)

(2x-4)^12=4^12

4^12 = 16777216

(2x-4)^12= 16777216

Take the 1/12 exponent for both sides

that will remove the ^12 exponent from the left side and will take the 12th root for the right.

2x-4=4

add 4 to both sides

2x=8

divide both sides by 2

x=4

Answer:

20000

Step-by-step explanation:

The greatest value obtained by sin(x) is 1.

So the greatest amount of insects is 12,000 + 8000(1)=20000.

The greatest number of insects are 20000.

"Trigonometric functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions.

The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. "

We have,

y = 12000+8000 sinθ

The possible greatest value of trigonometric function in sinθ is 1 i.e., at [tex]90^{0}[/tex]

∴ sinθ  = 1

substitute sinθ = 1 in given equation

y = 12000+8000 (1)

⇒ y = 12000+8000

⇒ y = 20000

Hence, The greatest number of insects are 20000.

Learn more about trigonometric function here

https://brainly.com/question/22600237

#SPJ2

Answer:

what you need help in we see nothing

Answer:

It is -4 :)

Step-by-step explanation:

I just did this lol

Answer:

Nope it isn't linear.

Step-by-step explanation:

Use a coordinate plane. The slope is y = -4x+12. if you plug that in, you will get all of the lines correctly

for instance you put 2,4

4 = -4(2)+12

4 = -8+12

that is true

but if you put in (5,-1)

-1 = -4(5)+12, which is not true

if all of them is true, then it would be true.

if even ONE of them is not true, then the who line is not linear

Answer:

12 cubic meters

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

answer is in above photo

Answer:

1.39 m

Step-by-step explanation:

sin 63 = x/13.5 (x = CD)

sin 52 = x/13.5 (x=AC)

take the difference between the two

Answer:

$660

Step-by-step explanation:

22*40 = 880 dollars. This is your gross pay.

Then, 880*0.2 (deduction of federal income tax rate) = 176 dollars

We also have to deduct the social security tax rate so, 880*0.05 = 44 dollars

Therefore, we totally have to deduct 176 + 44 dollars which is 220 dollars. 880-220 = 660.

Let me know if im wrong!

Answer:

[tex]m^{2} n^{2} - mn-11[/tex]

Step-by-step explanation:

Simplify the expression.

Answer:

Hello There!!

Step-by-step explanation:

Let the nisha be x and nishan be y. Your statement is x=2y.

x+y=21000

2y+y=21000

3y=21000

y=21000/3

y=7000

The amount of money nishan got=7000

The amount of money nisha got=2y=7000 ×2=14000

hope this help,have a great day!!

~Pinky~

240 cm

Step-by-step explanation:

each side is 40 cm, a cube has 6 sides. 6×40= 240

Answer:

i think it is b -8 -2

Step-by-step explanation:

Answer:

in picture

Step-by-step explanation:

Answer:

area =length× width

32 =length×4.

length=8 feet

Answer:

5x+3y=12

x-7y=10

first you want to make the x the same to 5 since you want to make the x = 0 so you can cancel out the x to find y

5x+3y=12

5x-35y=10

_________

38y = -38

y = -1

to find the x value substitute to any equations it can be the 1st or 2nd

5x+3(-1)=12

x = 3

Answer:

c. (−6,−4),(−3,−3)

Step-by-step explanation:

a). y2 - y1 / x2 - x1

-6 - (-3) / -3 - (-4)

-3/ 1

= -3

b). y2 - y1 / x2 - x1

0 - (-1) / -3 - (-18)

= 1/15

c). y2 - y1 / x2 - x1

-3 - (-4) / -3 - (-6)

= 1/3

d). y2 - y1 / x2 - x1

-6 - (-3) / -3 - (-2)

3

Answer:

D

Step-by-step explanation:

ALWAYS REMEMBER THIS EQUATION: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Find the slope of answer A

1. [tex]\frac{-6 - -3}{-3 - -4} = \frac{-3}{1}[/tex]

 2. This answer is not perpendicular to "l" because it is equal to -3. (Even if it has a different y-intercept, it will just be parallel, not perpendicular.)

Find the slope of answer B

1. [tex]\frac{0 - -1}{-3 - -18} = \frac{1}{15}[/tex]

 2. This answer is not perpendicular to "l".

Find the slope of answer C

1. [tex]\frac{-3 - -4}{-6--2} = \frac{1}{-4}[/tex]

 2. This answer is not perpendicular to "l".

Find the slope of answer D

1. [tex]\frac{-6 - -3}{-3 - -2} = \frac{-3}{-1}[/tex]

 2. This answer is perpendicular to "l" because 3 is the inverse of -3.

Answer:

3x-4=4

3x=8

x=8/3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

First: [tex]y = \frac{4}{7} x + 2[/tex]    

Second: [tex]y = -\frac{1}{7} x + 2[/tex]

Third: [tex]y = x + 2[/tex]    

Fourth: [tex]y = \frac{1}{7} x + 2[/tex]    

Answer:

48 degrees

Step-by-step explanation:

x+132 should be equal to 180, property of a parallelogram (and same side interior angles)

180-132=48

Answer:

x = 48

Step-by-step explanation:

Consecutive angles in a parallelogram sum to 180° , so

x + 132 = 180 ( subtract 132 from both sides )

x = 48

Answer:

y = 3x + 1

Step-by-step explanation:

first we need to find the slope

m = (y2-y1) / (x2-x1)

m = (10 - -2) / (3 - -1) = 3

note that it does not matter which points you chose to be second or first

then use slope point equation again it does not matter which point you use

y - y1 = m ( x - x1 )

y - 10 = 3 ( x - 3)

y - 10 = 3x -9

y = 3x -9 + 10

y = 3x +1

Use the slope formula below (Rise Over Run)

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

We are given two points. Substitute those points in the equation. Remember that it is (x,y) and not (y,x).

[tex] \large{m = \frac{10 - ( - 2)}{3 - ( -1)} } \\ \large{m = \frac{10 + 2}{3 + 1} \longrightarrow m = \frac{12}{4} } \\ \large \boxed{\purple{m = 3}}[/tex]

Next we will be using the point-slope form then convert into slope-intercept form. You can also use the slope-intercept form to substitute one of these points and solve for the y-intercept. However, I will be using the point-slope form instead.

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

The equation above is in point-slope form. Next we can substitute one of given points. I will choose (-1,-2) to substitute (You can use another point as well since the outcome would be the same.)

[tex] \large{y - ( - 2) = 3(x - ( - 1))}[/tex]

We substitute x1 = -1, m = 3 and y1 = -2. Next, we simplify the equation and convert it in slope-intercept form.

[tex] \large{y + 2 = 3(x + 1)} \\ \large{y = 3(x + 1) - 2} \\ \large{y = 3x + 3 - 2} \\ \large \boxed{ \red{y = 3x + 1}}[/tex]

Answer

Answer:

f(7) = -4

Step-by-step explanation:

f(7) means f(x) when x = 7. The x is replaced with 7.  

So we'll replace every x with 7 to go from x = 7 to 3 - x = 3 - 7 = -4  

Put in another way:

f(x) = 3 - x

f(7) = 3 - 7

f(7) = -4

Answer:

x=10

Step-by-step explanation:

6(x+2)=8(x-1)

x=10

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]8(x−1)=6(x+2)[/tex]

[tex]8x−8=6(x+2)[/tex]

[tex]8x−8=6x + 12[/tex]

[tex]2x−8=12[/tex]

[tex]2x=12+8[/tex]

[tex]2x=20[/tex]

[tex]x = 10[/tex]

Answer:

goodgydudufjdjdjdjdururirurur7rigjfifut

Step-by-step explanation:

goodghdhfudjdjsdhydydbsjshhdvrjeiid