answer all three please​

Answer:

Step-by-step explanation:

This is a consistent dependent system. This means that the lines will eventually intersect in one place.

Inconsistent systems are parallel lines and equivalent systems represent a line completely overlapped by another line because they have the same equation.

2:3

Given Racheal = 24 years

Thomson = 2/3×24

= 2×8

= 16 years

Must click thanks and mark brainliest

Answer:

x+13

Step-by-step explanation:

The answer would be 1 or uh.. x+13

Answer:

x/4+10=2

x/4=2-10

x/4=-8

x=-8 x 4

x=-32

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

0 girls and 8 boys :

[tex]\left(\begin{array}{c}10\\ 8\end{array}\right)=10*9*8*7*6*5*4*3/8!=45\\\\[/tex]

1 girl and 7 boys:

[tex]\left(\begin{array}{c}6\\ 1\end{array}\right)*\left(\begin{array}{c}10\\7\end{array}\right)=6*10*9*...*4/7!=6*120=720\\\\[/tex]

2 girl and 6 boys:

[tex]\left(\begin{array}{c}6\\ 2\end{array}\right)*\left(\begin{array}{c}10\\6\end{array}\right)=60*210=1260\\[/tex]

3 girl and 5 boys:

[tex]\left(\begin{array}{c}6\\ 3\end{array}\right)*\left(\begin{array}{c}10\\5\end{array}\right)\\[/tex]

4 girls and 4 boys:

[tex]\left(\begin{array}{c}6\\ 4\end{array}\right)*\left(\begin{array}{c}10\\4\end{array}\right)[/tex]

5 girls and 3 bys:

[tex]\left(\begin{array}{c}6\\ 5\end{array}\right)*\left(\begin{array}{c}10\\3\end{array}\right)[/tex]

I let you to calculate and make the sum.

Step-by-step explanation:

Hi there!

Please see the answer in the picture.

Hope it helps!

1. Approach

One is given a trigonometric equation with and one is asked to prove that it is true. Using the attached image, combined with the knowledge of trigonometry, one can evaluate each trigonometric function. Then one can simplify each ratio to solve. To yield the most accurate result, one has to each of the ratios in a fractional form, rather than simplifying it into a decimal form. Remember the right angle trigonometric ratios, these ratios describe the relationship between the sides and angles in a right triangle. Such ratios are as follows,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\\\\csc(\theta)=\frac{hypotenuse}{opposite}\\\\sec(\theta)=\frac{hypotenuse}{adjacent}\\\\cot(\theta)=\frac{adjacent}{opposite}[/tex]

Please note that the terms (opposite) and (adjacent) are relative to the angle uses in the ratio, however the term (hypotenuse) refers to the side opposite the right angle, this side never changes its name. Use these ratios to evaluate the trigonometric functions. Then simplify to prove the identity.

2. Problem (9)

[tex]\frac{sin(60)+cos(30)}{1+sin(30)+cos(60)}=sin(60)[/tex]

As per the attached image, the following statements regarding the value of each ratio can be made:

[tex]sin(60)=\frac{\sqrt{3}}{2}\\\\cos(30)=\frac{\sqrt{3}}{2}\\\\sin(30)=\frac{1}{2}\\\\cos(60)=\frac{1}{2}[/tex]

Substitute,

[tex]\frac{sin(60)+cos(30)}{1+sin(30)+cos(60)}=sin(60)[/tex]

[tex]\frac{\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}}{1+\frac{1}{2}+\frac{1}{2}}=\frac{\sqrt{3}}{2}[/tex]

Simplify,

[tex]\frac{\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}}{1+\frac{1}{2}+\frac{1}{2}}=\frac{\sqrt{3}}{2}[/tex]

[tex]\frac{\frac{2\sqrt{3}}{2}}{1+\frac{1}{2}+\frac{1}{2}}=\frac{\sqrt{3}}{2}[/tex]

[tex]\frac{\frac{2\sqrt{3}}{2}}{1+1}=\frac{\sqrt{3}}{2}[/tex]

[tex]\frac{\sqrt{3}}{1+1}=\frac{\sqrt{3}}{2}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{\sqrt{3}}{2}[/tex]

Thus, this equation is true.

2. Problem (10)

Use a similar strategy to evaluate this equation,

[tex]\frac{1-cos(30)}{sin(30)}=\frac{1-cot(60)}{1+cot(60)}[/tex]

Use the attached image to evaluate the ratios.

[tex]cos(30)=\frac{\sqrt{3}}{2}\\\\sin(30)=\frac{1}{2}\\\\cot(60)=\frac{1}{\sqrt{3}}[/tex]

Substitute,

[tex]\frac{1-cos(30)}{sin(30)}=\frac{1-cot(60)}{1+cot(60)}[/tex]

[tex]\frac{1-\frac{\sqrt{3}}{2}}{\frac{1}{2}}=\frac{1-\frac{1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}[/tex]

Simplify,

[tex]\frac{1-\frac{\sqrt{3}}{2}}{\frac{1}{2}}=\frac{1-\frac{1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}[/tex]

[tex]\frac{\frac{2-\sqrt{3}}{2}}{\frac{1}{2}}=\frac{1-\frac{1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}[/tex]

[tex]\frac{\frac{2-\sqrt{3}}{2}}{\frac{1}{2}}=\frac{\frac{\sqrt{3}-1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}[/tex]

[tex]\frac{\frac{2-\sqrt{3}}{2}}{\frac{1}{2}}=\frac{\frac{\sqrt{3}-1}{\sqrt{3}}}{\frac{\sqrt{3}+1}{\sqrt{3}}}[/tex]

[tex]2-\sqrt{3}=\frac{\frac{\sqrt{3}-1}{\sqrt{3}}}{\frac{\sqrt{3}+1}{\sqrt{3}}}[/tex]

[tex]2-\sqrt{3}=\frac{\sqrt{3}-1}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}+1}}[/tex]

[tex]2-\sqrt{3}=\frac{\sqrt{3}-1}{\sqrt{3}+1}[/tex]

Rationalize the denominator,

[tex]2-\sqrt{3}=\frac{\sqrt{3}-1}{\sqrt{3}+1}[/tex]

[tex]2-\sqrt{3}=\frac{\sqrt{3}-1}{\sqrt{3}+1}*\frac{\sqrt{3}-1}{\sqrt{3}-1}[/tex]

[tex]2-\sqrt{3}=\frac{(\sqrt{3}-1)^2}{3-1}[/tex]

[tex]2-\sqrt{3}=\frac{3-2\sqrt{3}+1}{2}[/tex]

[tex]2-\sqrt{3}=\frac{4-2\sqrt{3}}{2}[/tex]

[tex]2-\sqrt{3}=2-\sqrt{3}[/tex]

Therefore, this equation is also true.

Answer:

B 2 m

Step-by-step explanation:

2 cm and 2 mm are way to small they are less than the size of a cell phone

2 km is way to large it is larger than a car

Answer:

6x+7y=56

Step-by-step explanation:

In order to have an equation that is parallel to another the slopes multiplied by one another must equal -1. In this case, the first slope is [tex]\frac{7}{6}[/tex] . So [tex]\frac{7}{6}[/tex]×what = -1

Normally you can just flip the numerator and denominator and add the opposite sign. So we can do that here. [tex]-\frac{6}{7} *\frac{7}{6} =-1[/tex]. So the equation should have [tex]-\frac{6}{7}[/tex].

But none of the answers obviously have that slope. If you try the second one, which looks different from the rest and will give you a negative x when you subtract it from both sides. Then you can divide by 7, you get [tex]y=-\frac{6}{7}x +8[/tex].

Answer:

x=4y

Step-by-step explanation:

3^x=3^4y

x=4y

am I correct?

Answer:

Does the answer help you?

Answer:

i think A

Step-by-step explanation:

Answer: point

Step-by-step explanation:

Answer:

x = 65 degrees

Step-by-step explanation:

x° + x° + 50° = 180°

2x + 50° = 180°

2x = 180° - 50°

2x = 130°

x = 130°/2

x = 65°

Answer:

10.49

Step-by-step explanation:

FG= squareroot(10)(11) =10.49 took quiz too

Answer:

fohohcoufohohcouvhop

Step-by-step explanation:

typing mistake sorry

[tex]\\ \sf\longmapsto x+73=90[/tex]

[tex]\\ \sf\longmapsto x=90-73[/tex]

[tex]\\ \sf\longmapsto x=17[/tex]

Why?

Sum of two complementary angles is 90°

Answer:

1

Step-by-step explanation:

(1-x)/x=0

or, 1-x=0

or, -x=-1

or, x=1

Answer:

F(x) = 0 when x=1

Step-by-step explanation:

We need the numerator to equal zero

1-x = 0

Add x to each side

1-x+x = 0+x

1 =x

The denominator cannot equal zero( The denominator does not equal zero when x =1)

F(x) = 0 when x=1

Answer:

I could only see the full choices for letter A, so I'll help with that. But if you send the full image of the page I'll help you out :)

a. The answer is B

Step-by-step explanation:

The square root of 73 is about 8.5440037... which is in between 6 and 9

The square root of 55 is about 7.416198... which is also in between 6 and 9

The square root of 39 is about 6.24499799... which is also in between 6 and 9

The other letters will not work because they are either larger or smaller than 6 and 9, or they are rational.

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

Have a great summer :)

Answer: [tex]\frac{\sqrt{5}}{6}[/tex]

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

Work Shown:

[tex]\frac{\sqrt{10}}{3\sqrt{8}}\\\\\frac{\sqrt{10}*\sqrt{8}}{3\sqrt{8}*\sqrt{8}}\\\\\frac{\sqrt{10*8}}{3\sqrt{8*8}}\\\\\frac{\sqrt{80}}{3\sqrt{64}}\\\\\frac{\sqrt{80}}{3*8}\\\\\frac{\sqrt{16*5}}{24}\\\\\frac{\sqrt{16}*\sqrt{5}}{24}\\\\\frac{4*\sqrt{5}}{24}\\\\\frac{\sqrt{5}}{6}\\\\[/tex]

Note: In the second step, I multiplied top and bottom by [tex]\sqrt{8}[/tex] to rationalize the denominator.

Answer:

square root of 5 over 6 or 0.37267799…

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Answer: 20 times 2 equal 40/ 40 divided by 2 is 20

Step-by-step explanation: Both of them should help you find the answer

Answer:

72000

Step-by-step explanation:

First five digit number is 10000

And the last five digit number is 99999.

There are 99999-10000+1 five digits in all.

That simplifies to 89999+1=90000.

Any number whose units digit is 5 or 0 is divisble by 5.

10000 is the first five digit number that is divisble by 5.

10000+5k where k is a positive integer can be used to find any after.

The last five digit number divisible by 5 is 99995. What is k then?

10000+5k=99995

5k=89995

k=89995/5

k=17999

How many 5 digit numbers are divisble by 5?

So the first one happens at k=0 and the last one happens at k=17999.

How many numbers is that? 17999+1=18000.

So the number of 5 digit numbers that aren't divisble by 5 is 90000-18000=72000

Answer:

12x^7.

Step-by-step explanation:

3x^3(4x^4)=

3*4 * x^(3+4)

= 12x^7.

Answer:

y(x)=10.5/sqrt(x)

Step-by-step explanation:

Since y is inversely proportional to the square root of x, it can be written as y=a/sqrt(x). To compute a, we will use the point given in the question (2.25,7). 7=a/sqrt(2.25), a=10.5. The function is y(x)=10.5/sqrt(x)

Answer:

B

Step-by-step explanation:

since K is constant ( the same for every point) we can find k when given any point by dividing the y-coordinate by the x-coordinate.

The solution is Option B.

The equation for the relationship between x and y is y = 7x

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The value of y varies directly with x

So , y = kx and k is the constant of proportionality

Now , when x = 6

y = 42

Substituting the value of y and x in the equation , we get

y = kx

42 = 6k

6k = 42

Divide by 6 on both sides of the equation , we get

k = 7

Therefore , the equation becomes y = 7x

Hence , the equation for the relationship between x and y is y = 7x

To learn more about equation click :

https://brainly.com/question/10413253

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Answer:

y = 4x - 3

Step-by-step explanation:

A parallel line will have the same slope so the slope will remain 4. To fine the new y-intercept, we can substitite the point we are given.

1 = 4(1) + b

1 = 4 + b

-3 = b

Now, we can create the new equation with the information we found.

y = 4x - 3

Best of Luck!

Answer: y = 4x - 3

Step-by-step explanation:

y-y=m(x-x)

y-1=4(x-1)

y-1=4x-4

y=4x-3

Answer:

x= 0, and x=4

Step-by-step explanation:

x² -x  = 3x, we can subtract 3x from both sides

x² -x -3x = 0, combine like terms

x² -4x = 0 , factor x

x *( x-4) = 0, if the product of 2 numbers equals 0 at least one is 0

x=0 and

x-4 = 0, add 4 to both sides

x= 4

Answer:

x=4  simple thing with all problems like this, is if it has a exponent, then half the exponent and add it to the numerical digit on the right of the equals sign, and you have you answer

Step-by-step explanation:

Answer:

x-12

Step-by-step explanation:

Let the variable be x

12 less than

x-12

Answer:

[tex]\\ \sf\longmapsto -5+(5+3)[/tex].

[tex]\\ \sf\longmapsto -5+5+3[/tex]

[tex]\\ \sf\longmapsto (-5+5)+3[/tex]

[tex]\\ \sf\longmapsto 0+3[/tex]

[tex]\\ \sf\longmapsto 3[/tex]

Answer:

[tex]xy+4y-6x-24[/tex]

Step-by-step explanation:

[tex]y(x+4) = xy+4y[/tex]

[tex]6(x+4) = 6x+24[/tex]

[tex]xy+4y - (6x+24) =xy+4y-6x-24[/tex]

Answer:

What is the vertical change from Point A to Point B? 1

What is the horizontal change from Point A to Point B? 2

What is the rate of change shown on the graph? Give

the answer as a decimal rounded to the nearest tenth.

if necessary: 0.5

Step-by-step explanation:

The rate of change, as the own name suggest, is the rate at which the function change its value. The function, in this case is changing with a rate of 0.5 because to each unit that x grows, y grows the half part of it.