Solve the right triangle. Round your answers to the nearest tenth place.

Answer:

Number 1 and 4

Step-by-step explanation:

To do this substitute the different values of x and y into the equations and see if they come out true or not.

1. (4, -3)

Put x = 4 and y = -3 into both equations:

2x + y = 5 --> 2(4) - 3 = 5 --> 8 - 3 = 5 --> 5=5 (true)

6x + 3y = 15 --> 6(4) + 3(-3) = 15 --> 24 - 9 = 15 --> 15 = 15 (true

So number 1 works

2. (2, 4)

Put x = 2 and y = 4 into both equations:

2x + y = 5 --> 2(2) + 4 = 5 --> 4 + 4 = 5 --> 8 = 5 (NOT true)

Number 2 does not work

3. (1, 3)

Put x = 1 and y = 3 into both equations:

2x + y = 5 --> 2(1) + 3 = 5 --> 2+ 3 = 5 --> 5 = 5 (true)

6x + 3y = 15 --> 6(1) + 3(9) = 15 --> 6 + 27 = 15 --> 33 = 15 (not true)

Number 3 does not work

4. (0, 5)

Put x = 0 and y = 5 into both equations:

2x + y = 5 --> 2(0) + 5 = 5 --> 5 = 5 (true)

6x + 3y = 15 --> 6(0) + 3(5) = 15 --> 15 = 15 (true)

Number 4 does work

Number 1 and number 4 are the answers.

Answer:

17

Step-by-step explanation:

Answer:

21.1cm

Step-by-step explanation:

From sine rule which can be expressed as

b/ sinB = c/sin C

B = 57°,

b = 26 cm.

FROM THE COMPLETE QUESTION,

C=43°

Then we can substitute this

26/sin(57) = c/sin(43)

If we cross multiply and make "c" subject of the formula

c=[26 × sin(43)]/ sin57

c= 21.1 cm

A one to one function is a function which matches exactly one x value with exactly one y value. The fancy term for this is an injective function.

The one function that matches to the one relationships of the situation where the people have equal identities as their ID numbers. The function relates to the injunctive function.

Learn more about the are matched with with unique identities.

brainly.com/question/24004220

Answer:

Step-by-step explanation:

Given the formula for the geometric series expressed as;

[tex]\sum \left \{ {3} \atop {1}} \right 1.3(0.8)^{n-1}[/tex]

The nth term of a geometric progression is expressed as;

[tex]T_n = ar^{n-1}\\[/tex]

a is the first term

r is the common ratio

Comparing both equations;

[tex]0.8^{n-1} = r^{n-1}\\Cancel \ the \ powers\\0.8 = r\\r = 0.8\\[/tex]

Hence the value of r of the geometric series is 0.8

Answer:

A

Step-by-step explanation:

Just took test

Answer:

Step-by-step explanation:

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

2). 4 × (3 + - 3)  [Parenthesis]

   = 4 × (3 - 3) [subtraction]

   = 4 × 0 [Multiplication]

   = 0

3). 24 ÷ (-4 + 12) + 2² [Parenthesis]

   = 24 ÷ (8) + 2² [Exponents]

   = 24 ÷ 8 + 4 [Division]

   = 3 + 4 [Addition]

  = 7

Answer:

10%

Step-by-step explanation:

Answer:

(1) The angle bisector of ∠TPR is 45⁰

(2) m∠QPR = 90⁰

(3) m∠TPS  = 45⁰

(4)  m∠QPV = 45⁰

Step-by-step explanation:

(1) The angle bisector of ∠TPR is 45⁰

(2) From the given figure, the m∠QPR is a right angle, thus m∠QPR = 90⁰

(3)  m∠TPS is a bisector of the right angle RT,  m∠TPS  = 45⁰

(4) m∠QPV = 180 - (∠SPR + ∠QPR) [sum of angles on a straight line]

    m∠QPV = 180 - (45 + 90)

    m∠QPV = 180 - 135

    m∠QPV = 45⁰

Answer: A

Step-by-step explanation:

The region shaded above a solid boundary line is considered. Then the correct option is B.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The line is given below.

y = 2x - 1

y > 2x - 1

Combine the equations. Then we have

y ≥ 2x - 1

The graph of the line is given below.

The region shaded above a solid boundary line is considered. Then the correct option is B.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Answer:

[tex]y = 20x + 1[/tex]

Step-by-step explanation:

The format for the equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.

You have that information already, so we can just plug it in.

[tex]y = 20x + 1[/tex]

I'm assuming 0,1 means (0, 1) as in a coordinate. If you meant a decimal, 0.1, adjust accordingly.

Answer:

y=20x+1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Equation of Function A is

y=2x+5

Equation of Function B is

y=2x-3

Answer:

[tex]m = 35.65 \\ b = 17.25[/tex]

Step-by-step explanation:

srry if its wrong but I think it's right :)

btw for the first one

p=19.53

The number of aduir tickets sold was 44. If 2/3 of the ticket is 66 and 1/3 of the tickets is 1/3, you’ll know that by diving 66 with 3 you find the answer for the children’s ticket. 66 divide 3 is 22. But how do you find the adults ticket? Well if the rest are all adults which it is then you find the left overs. 66-22=44 and the answer will be 44. 1/3 of 66 is 22 and 2/3 of 66 is 44.

Answer:

He does not

Step-by-step explanation:

He doesn't experience Doppler effect because with respect to him, the source of sound is stationary.

Answer:  (-0.4, 6.8)

The graph is attached

Step-by-step explanation:

We can find the axis of symmetry using the formula x = -b/2a

x = - -4/2(-5)

x = 4/-10

x = 0.04

Substitute for x and calculate y

y = [tex]\left(0.4^{2}\right)\left(-5\right)-4\left(-0.4\right)\ +6[/tex]

y = 6.8

Answer: b. (-0.4,6.8)

Step-by-step explanation:

Answer:

B. 15x+7

Step-by-step explanation:

8x + 7

+ =15x +7

7x - 9

Answer:

Y=-1

X=4/3

Step-by-step explanation:

Answer: hopefully, this is right i think its 5.873

Step-by-step explanation:

Answer:

s = 10

Step-by-step explanation:

Given s is inversely proportional to t , then the equation relating them is

s = [tex]\frac{k}{t}[/tex] ← k is the constant of proportion

To find k use the condition when s = 0.6, t = 5

0.6 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )

3 = k

s = [tex]\frac{3}{t}[/tex] ← equation of proportion

When t = 0.3, then

s = [tex]\frac{3}{0.3}[/tex] = 10

Answer:

[tex]m + b=2[/tex]

Step-by-step explanation:

From the question we are told that

The non separable differential equation [tex]\frac{dy}{dx} = 8x - 2y[/tex]

Generally the chi form of a give equation is mathematically represented as

[tex]\frac{dy}{dx} +P(x)y= q(x)[/tex]

[tex]\frac{dy}{dx} + 2y = 8x[/tex]

[tex]ye^2^x=\int e^2^.8xdxx[/tex]

[tex]ye^2^x=8(\frac{xe^2^x}{2}-\frac{\int e^2^x}{2})[/tex]

[tex]ye^2^x=8(\frac{xe^2^x}{2}-\frac{e^2^x}{1})+c\\[/tex]

[tex]ye^2^x=4x^2^x-2e^2^x+c[/tex]

[tex]y=4x-2+c[/tex]

for c=0

[tex]y=4x-2[/tex]

Therefore

[tex]m=4\\b=-2\\m + b=4-(+2)[/tex]

[tex]m + b=2[/tex]

The linear particular solution of the form [tex]y=mx+b[/tex] where [tex]m+b=4-2=2[/tex]

Nonseparable differential equation:

Differential equations that cannot be written  [tex]\frac{dy}{dx} =f(x)g(y)[/tex] are non-separable differential equations.

In other words, we can say those differential equations which are not separable are called non-separable differential equations.

The given equation is,

[tex]\frac{dy}{dx}=8x-2y[/tex]

This is in the form [tex]\frac{dy}{dx} +p(x)y=\phi(x)[/tex]

Here [tex]P=2, Q=8x[/tex]

So, [tex]e^{\int_{}^{}Pdx}=e^{\int_{}^{}2dx}=e^{2x}[/tex]

Therefore, the general solution is,

[tex]ye^{\int_{}^{}Pdx} =\int_{}^{}Qe^{\int_{}^{}Pdx}dx+c\\ye^{2x}=\int_{}^{}8xe^{2x}dx+c\\y=4x-2+c^{-2x}[/tex]

Learn more about the topic of nonseparable differential equations:

https://brainly.com/question/25731911

Answer:

418

Step-by-step explanation:

Answer:

one variable data table has only one input cell and many result cells. A two-variable data table has two input cells, but only one result cell. If you look at the bar graphs, histograms, and circle graphs, they all look at one variable at a time and display the number of times or percentage of times an individual point or interval is counted. These are displays for a one variable data set. Two variable data sets give measures of two attributes for each item in a sample. Such as - eye colour & hair colour, grade & gender.

Step-by-step explanation:

Hope it helps <3

Answer:

50

Step-by-step explanation:

Correct question

-16/5, 8, -20. What is the next term of the geometric sequence.

The nth term of a geometric sequence is expressed as:

Tn = ar^n-1

From the sequence:

a is the first term = -16/5

n is the number of term = 4(since next term is 4th term

r is the common ratio = (8)÷(-16/5) = 8×-5/16

r = -5/2

Substitute the given values into the formula

T4 = -16/5(-5/2)^4-1

T4 = -16/5(-5/2)³

T4 = -16/5×-125/8

T4 = -16/8×-125/5

T4 = -2×-25

T4 = 50

Hence the next term is 50

Answer:

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

4x+8=7x-13

-4x. -4x

8= 3x -13

+13. +13

21=3x

21÷3=7

x=7

Answer:

The answer is x = 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

(2x - 3) years

Step-by-step explanation:

Fitz is x years old.

Let us represent:

Fiona's age = y years old

If Fiona's is 3years younger than twice Fitz's age.

y = 2 × x - 3

y = 2x - 3

Therefore, the expression that describes Fiona's age in terms of x is

(2x - 3)years

Answer:

b

Step-by-step explanation:

Answer:

is 30 hope I helped!!:D

Step-by-step explanation:

step 1 : cross multiply.

10/3= k/9

(10)*(9)=k*(3)

90=3k

step 2: flip the equation.

3k =90

step 3: Divide both sides by 3.

3k/3=90/3

k=30

Answer:

The domain is the speed of the airplane.

The range is the distance travelled by the airplane.

Step-by-step explanation:

From Theory of Values, the domain of a function is the set of independent values, whereas the range of a function is set of dependent values, that is, values associated to one distinct element from domain. In this case, the independent variable is speed, whereas the dependent variable is the distance travelled by the airplane, since it is described in terms of speed.

Hence, the answer to this exercise is:

The domain is the speed of the airplane.

The range is the distance travelled by the airplane.

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

Explanation:

The circumference of a circle is the distance around the full circle, aka the perimeter.

The formula for the circumference is

C = pi*d

where d is the diameter. The radius given is 6, so the diameter is 2*6 = 12.

The circumference, is therefore:

C = pi*d

C = pi*12

C = 12pi millimeters

---------

As a slight alternative, you can use this formula

C = 2*pi*r

with r = 6 as the radius

C = 2*pi*r

C = 2*pi*6

C = 2*6*pi

C = 12pi

We get the same answer as before.

Answer:

Vertex: (-5,-4) Y-int: (0,21) X-int. = (-7,0), (-3,0)

Step-by-step explanation: