solve the simultaneous linear equations by using the elimination method​

a - b = -3
3a - 4b = -5

Answer:

x=38°

Step-by-step explanation:

sinx/21 =sin(38°)/21

sinx=21Sin(38°)/21

x = arcsin(21Sin(38°)/21)

x=38°

Answer: 2048 I just used a calculator

Step-by-step explanation:

Answer:

2048.

Step-by-step explanation:

(997X5) + (6X-979) /  2

= 4985 + -5874/ 2

The multiply is done before the add   ( Order of operations):

= 4985 + -2937

= 2048

Answer:   359

Step-by-step explanation:

4(t²-5t) + 3u³   plug in the t and u

= 4[4²-5(4)] + 3(5)³

= 359

Answer:

Step-by-step explanation:

The formula of a perimeter of a rhombus:

P = 4a

a - length of side

We have a = 17ft

P = 4 · 17ft = 68ft

Answer:

43

Step-by-step explanation:

DO the math

Answer:

The store sold 21 T-shirts and 18 pairs of shorts.

Step-by-step explanation:

x = the number of T-shirts sold

y = the number of pairs of shorts sold

x + y = 53

12x + 9y = 570

x = 21 T-shirts

y = 18 shorts

Since the unit circle has a radius of 1 we know that r = 1 and that our angle is 60 degrees. Using sin and cos functions we can then find the x and y coordinates of point A. since  [tex]cos(\alpha ) = \frac{x}{1}[/tex] and [tex]sin(\alpha ) = \frac{y}{1}[/tex] (where [tex]\alpha[/tex] = the angle)

[tex]A = (x,y) = (cos(a),sin(a))[/tex] because of the identity that cos(a) = x and sin(a) = y

Using the angle and the previously described identity we can find the coordinates with cos(60) = x = 1/2 and sin(60) = y = [tex]\frac{\sqrt{3} }{2}[/tex] to get A =(x,y) = [tex](\frac{1}{2},\frac{\sqrt{3} }{2})[/tex].

From here we can work backwards and find that BC = x = [tex]\frac{1}{2}[/tex] and that AC = y =[tex]\frac{\sqrt{3} }{2}[/tex] and finally we know that AB = r = 1 because it is a radius of the unit circle and must be 1.

-This probably isn't the way you were taught to solve this problem, but it is how we do it in physics and real-life.

Answer:

1. Parallel

2. Neither

3. Perpendicular

4. Perpendicular

5. Neither

6. Same Line

7. Perpendicular

8. Parallel

9. Same Line

10. Perpendicular

11. Parallel

12. Perpendicular

13. Parallel

14. Same Line

15. Perpendicular

16. Parallel

17. Neither

18. Parallel

19. Parallel

20. Parallel

Answer:

$1.76

Step-by-step explanation:

First we need to figure out the cost of one apple.

To do this, divide the cost by the amount.

That's .65/3, which equals .216666, but we should round that number to .22

So if one apple is 22 cents, and we need to know how much money 8 apples is, we times .22 by 8, which gives us 1.76

Hope this helps :))

At the grocery shop, the cost of 3 apples is $0.65 then the cost of 8 apples is $1.76.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The given information in the question,

The cost of 3 apples = $0.65

The cost of 1 apple = $0.65/3 = $0.22

The cost of 8 apples = $0.22 × 8 = $1.76.

To know more about Expression:

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Answer:

1, 2, and 4

Step-by-step explanation:

distribution

refer the attachment for your answer !!

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in [tex]y=mx+b[/tex] form. In this for the following are:

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Upon inserting our points into the equation, we get a slope of -1.

[tex]\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1[/tex]

Creating The Equation

To create the equation in [tex]y=mx+b[/tex] form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

[tex]y=-1x-2[/tex]

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

= (2 5/6+ 1 1/2) Km = (17/6+3/2) Km = 4 1/3 Km

They walked 4 1/3 Km altogether.

Hope it helps.

Do comment if you have any query.

Answer:

77° is the answer

Step-by-step explanation:

hope it helps;)

The measure of angle [T] will be ∠T = 139°.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.

In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Given is a triangle TSU.

The sum of the angles of a triangle is 180 degrees. So, we can write -

(21x + 13) + 4x + (3x - 1) = 180

21x + 4x + 3x + 13 - 1 = 180

28x + 12 = 180

28x = 168

x = 168/28

x = 6

So -

∠T = 21x + 13 = 21 x 6 + 13 = 126 + 13 = 139

∠T = 139°

Therefore, the measure of angle [T] will be ∠T = 139°.

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The particle has a frequency of 0.032 hertz.

The particle experiments a sinusoidal motion, whose mathematical model is described below:

[tex]x = x_{o} + A\cdot \cos (\omega\cdot t + \phi)[/tex] (1)

Where:

The frequency ([tex]f[/tex]), in hertz is defined by this formula:

[tex]f = \frac{\omega}{2\pi}[/tex] (2)

By direct observation on the formula described in statement we find that [tex]\omega = 0.2\,\frac{rad}{s}[/tex], then we find the frequency of the particle by (2):

[tex]f \approx 0.032\,hz[/tex]

The particle has a frequency of 0.032 hertz.

We kindly invite to check this question on simple harmonic motion: https://brainly.com/question/17315536

Answer:

Below.

Step-by-step explanation:

3 x 3 - 7 = 8 x 9

=> 9 - 7 = 72

=> 2 ≠ 72

The question could be mistyped. That is why the answer is coming like 2 ≠ 72, please fix it.

Answer:

Its an acute bc an acute angle is less than 90 degree

Answer:

A slope in math is basically rise/run on a coordinate plane. If you have the trend line given and a few values given on the 'x' coordinate and the 'y' coordinate, you can find the slope using rise/run.

Hoped this helped.

Answer:

-2=x

Step-by-step explanation:

110º=(x+112)º

110=x+112

Subtract 112 from both sides of the equation.

-2=x

Hope this helps :)

Answer:

[tex]x = - 2[/tex]

Step-by-step explanation:

We can make this an equation

[tex]x + 112 = 110 \\ x = - 2[/tex]

Answer:

21.900 - 21.9

Step-by-step explanation:

if your rounding it its 21.900 or 21.9

Hello there!

Parallel lines have the same slope.

So if one line has a slope of 4, then the slope of the line parallel to it has a slope of 4 as well.

Hope it helps!

Please mark Brainliest!

~Just a determined gal

[tex]MysteriousNature[/tex] here to help

Answer:

333

666

Step-by-step explanation:

333 / 9 = 37

666 / 9 = 74

yeah-ya...... right?

Answer:

333

Step-by-step explanation:

we see that all three digits are the same so heres a list of numbers it could be 222 333 444 555 666 777 and we know that numbers divisible by nine mean all the digits added up have to be divisible by nine and we can see that 333 equals 9 when the digits are added together so this is the answer.

75 is 15% of 500!! If you get it wrong IM SO SORRY!!

Answer: 113.3333 (repeating 3’s)

Step-by-step explanation:

17 = 15%

divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%

11.33 = 10%

multiply 10 and 11.33 by 10 to get 100%

113.33 = 100%

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

Explanation:

Pick any two rows you want. I'll pick the middle two rows where every value is positive. So I'll pick these two rows:

They lead to the points (0,4) and (1,1). Apply the slope formula for these rows.

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

m = (1-4)/(1-0)

m = -3/1

m = -3

The slope is -3

Answer:

is not proportional

Step-by-step explanation:

10/-2= -5

7/-1=-7

4/0=0

1/1=1

-2/2=-1

-5/3= -1 2/3

Answer:

145000

Step-by-step explanation:

(150000-140000)÷2=10000÷2

                                =5000

140000+5000=145000

Answer:

145,000

Step-by-step explanation:

To find halfway between two numbers is the same as finding the mean of two numbers.

140,000+150,000=290,000

290,000/2

=145,000

Hope this helps :)

Answer:

yeah sure

Step-by-step explanation:

all I can say if you wanna find the starting point of a quadratic graph use the rule (-b/2a).

use that rule to find x or h then substitute in your quadratic equation , and with the that you found out using rule.

then you will find the y or k then make a table of values and put the vertex of the x and y that you found.

then add two values that are less than x and add two values that are more than x then you substitute with the new values in order to find their y.

then point all the points you found and finally draw the graph you will find it like a u shaped graph or called a parabola.

hope this helps

Answer:

b

Step-by-step explanation:

Pythagoras formula for the relation of the side lengths of a right-angled triangle :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".

so, we have here

c² = 1² + 2² = 1 + 4 = 5

c = sqrt(5) = 2.236067977...

so, answer option c is too big (values bigger than 3).

answer options d and e are too small (values smaller than 2).

a

9/4 = 2.25

10/4 = 2.5

this is also too big .

that leaves us with b

17/8 = 2.125

18/8 = 9/4 = 2.25

that is correct

Answer:

A.

How many tiles will you put in each row? 9

How many rows will you make? 3

B.

9x3=27

C.

9 models the amount of tiles in each row

3 models the amount of rows

27 models the total number of chairs/tiles

Step-by-step explanation:

Answer:

229

Step-by-step explanation:  do 1000-771 and u get the answer

Answer:

229

Step-by-step explanation:

To find how many are left, do the total minus the amount found:

1000 - 771 = 229