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katen-ka-za [31]
3 years ago
9

What is the x-intercept of the linear function that passes through the points (-12,6) and (6,2)

Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0
Here you go, hope this helps

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PLEASE PLEASE PLEASE HELP!
Basile [38]
We're are given the following system of linear equations:
n=3m-11
2m+3n=0

What we'll do, is substitute the n in the second equation by the definition of n given in the first equation (n=3m-11):
2m+3n=2m+3(3m-11)=2m+9m-33=11m-33=0

We solve for m from the previous equation:
11m-33=0
m= \frac{33}{11}=3

Now we know m=3.

In order to get the numerical value of n we use the fact that m=3 in the first equation:
n=3m-11=3(3)-11=9-11=-2

So n=-2. 

The answer is n=-2 and m=3.
8 0
4 years ago
Which of the following shows no correlation between the independent and dependent variables?
jeka94
D doesn’t show a positive or negative correlation. D is the best answer choice.
3 0
3 years ago
Read 2 more answers
Ashley has b decks of cards. Each deck has 52 cards in it. Using b, write an expression for the total number of cards Ashley has
marin [14]

Answer:

b*52

Step-by-step explanation:

3 0
2 years ago
Rewrite the equation by completing the square. x^2+10x+24 = 0
ser-zykov [4K]

Answer:

(x+5)^2 = 1

Step-by-step explanation:

x^2+10x+24 = 0

Subtract 24 from each side

x^2+10x+24 -24 = 0-24

x^2+10x = -24

Take the coefficient of x

10

Divide by 2

10/2 =5

Square it

5^2 = 25

Add it to each side

x^2+10x+25 = -24+25

Take the coefficient divided by 2 inside the factor

(x+10/2) ^2 = -24+25

(x+5)^2 = 1

3 0
4 years ago
Identify the values of the variables. Give your answers in the simplest radical form.
Lena [83]

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

sin(60) = \frac{9}{k}

Multiply both sides by k

k*sin(60) = 9

Divide both sides by sin(60)

k = \frac{9}{sin(60)}

k = \frac{9}{\frac{\sqrt{3}}{2}}

k = 9*\frac{2}{\sqrt{3}}

k = \frac{18}{\sqrt{3}}

Rationalize

k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

k = \frac{18\sqrt{3}}{3}

k = 6\sqrt{3}

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

tan(60) = \frac{9}{f}

Multiply both sides by f

f*tan(60) = 9

Divide both sides by tan(60)

f = \frac{9}{tan(60)}

k = \frac{9}{\sqrt{3}}

Rationalize

k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

k = \frac{9\sqrt{3}}{3}

k = 3\sqrt{3}

8 0
3 years ago
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