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3 years ago

HELP PLEASE! AND IF YOU COULD PLEASE EXPLAIN IM CONFUSED

Mathematics

1 answer:

Damm [24]3 years ago

6 0

In the given triangle, y = 32°.

Step-by-step explanation:

Step 1; In the given triangle, the opposite side has a length of 9cm while the hypotenuse of the triangle measures 17cm. As we have the lengths of the opposite side and the hypotenuse side, we can calculate the sine of the value y.

sin y = $\frac{oppositeside}{hypotenuseside}$ .

Step 2; Length of the opposite side = 9 cm.

Length of the hypotenuse side = 17 cm.

sin y = $\frac{oppositeside}{hypotenuseside}$ = $\frac{9}{17}$ = 0.5294.

We can multiply inverse sine on both sides to solve y.

y = $sin^{-1}$ (0.5294) = 31.9657°.

Rounding this off to the nearest tenth we get, y = 32.0°.

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What is the value of x when 40x = x+4

S_A_V [24]

40x = x+4
x= (x+4)/40
x= x/40+4/40
x-x/40= 4/40
(40x-x)/40= 1/10
39x/40= 1/10
39x= 1/10*40
x= 4/39

8 0

4 years ago

Read 2 more answers

See the file below to see my question :)

RideAnS [48]

9514 1404 393

Answer:

a = 3
b = -18

Step-by-step explanation:

Using the least common denominator, we have ...

$2-\dfrac{x+1}{x-2}-\dfrac{x-4}{x+2}\\\\=\dfrac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)}\\\\=\dfrac{2(x^2-4)-(x^2+3x+2)-(x^2-6x+8)}{x^2-4}\\\\=\dfrac{(2-1-1)x^2+(-3+6)x+(-8-2-8)}{x^2-4}=\boxed{\dfrac{3x-18}{x^2-4}}$

The values of a and b are ...

a = 3

b = -18

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4 years ago

Free 100 points if u know what dis is

kvasek [131]

Answer:

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Step-by-step explanation:

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3 years ago

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What is the turning point of the quadratic y=4x^2+24x+15

DochEvi [55]

Answer: (-3, -21)

I'm not sure if that's what you wanted, sorry.

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3 years ago

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5. Select ALL of the following expressions that are linear functions (they do not need to be in slope-intercept form).

Anon25 [30]

Answer:

The following are the LINEAR functions.

$2x\:+\:4\:=\:3x\:-\:8$

$y = 3x - 2$

$3x\:+\:-y\:=\:24$

Step-by-step explanation:

We know that linear functions are the equations with a straight line graph in an XY plane.

Also, a linear function is a function of the form

$f(x)=mx+b$

where m is the slope and b is the y-intercept. The only power of the variable is 1.

So, from the given expressions we can determine that:

1) $y^2=\:5x\:+2$

$y^2=\:5x\:+2$ is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function

2) $2x\:+\:4\:=\:3x\:-\:8$

$2x\:+\:4\:=\:3x\:-\:8$

$x=12$

This is a linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1

3) $y = 3x - 2$

$y = 3x - 2$ is a linear function because it is of the form $f(x)=mx+b$ and the power of its x and y variables is 1. Hence, the function has a straight line graph.

4) $y\:+\:x^2\:=\:12$

$y\:+\:x^2\:=\:12$ is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

5) $y\:=\:x^2\:+\:2x$

$y\:=\:x^2\:+\:2x$ is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

6) $1$

$1$ is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree $0$ or is the $0$ polynomial.

7) $3x\:+\:-y\:=\:24$

$3x\:+\:-y\:=\:24$ is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.

In a summary, the following are the LINEAR functions.

$2x\:+\:4\:=\:3x\:-\:8$

$y = 3x - 2$

$3x\:+\:-y\:=\:24$

7 0

3 years ago