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2 years ago

Write the equation of the line that passes through the points (-6, -9) and

Mathematics

1 answer:

e-lub [12.9K]2 years ago

3 0

Answer:

y - 7 = 16/13(x - 7)

General Formulas and Concepts:

Alg I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (-6, -9)

Point (7, 7)

Step 2: Find slope m

Substitute: $m=\frac{7+9}{7+6}$
Add: $m=\frac{16}{13}$

Step 3: Write equation

y - 7 = 16/13(x - 7)

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F(x)= x2 What is f(x) + f(x) + f(x)?

Irina18 [472]

Answer:

Step-by-step explanation:

You already have f(x)= x2

3(2x)=6x

I hope this help

6 0

2 years ago

Read 2 more answers

bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamp

SashulF [63]

Answer:

The least number of stamps required is $9$

Step-by-step explanation:

Let the number of $3$ cent stamps be $x$ and $4$ cent stamps be $y$

We have

$3x+4y=33$

The minimum number is obtained when more $4$ cent stamps are used

Here $y$ cannot be greater than $8$ since $\frac{33}{4}$

Substitute $y=8$

$3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}$

Not possible since $x$ is not a fraction

Substitute $y=7$

$3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}$

Not possible since $x$ is not a fraction

Substitute $y=6$

$3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3$

Possible

Hence minimum number of stamps is

$=x+y\\\\=3+6\\\\=9$

5 0

2 years ago

SinA=√1-x÷√1+X Find the value of cosA

Irina-Kira [14]

The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

<h3>Trigonometric ratios</h3>

It is important to note that

sin A = opposite/ hypotenuse

cos A = adjacent/ hypotenuse

Then,

opposite = $\sqrt{1} - x$

Hypotenuse = $\sqrt{1} + x$

Let's find the adjacent side using the Pythagorean theroem

$(\sqrt{1} + x)^2 = (\sqrt{1 -x } )^2 + x^2$

$1 + x^2 = 1 - x^2 + x^2$

$x = \sqrt{\frac{1 + x^2}{1 -x^2} }$

cos A = x/hypotenuse

$cos A = \frac{\sqrt{\frac{1+x^2}{1 -x^2} } }{\sqrt{1} +x}$

cos A = √(1 + x²)/ (1 - x²) /√1 + x

Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

Learn more about trigonometric identities here:

brainly.com/question/7331447

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6 0

1 year ago

Which expression is equivalent to 4(2w + 3) + 2(3 + w)?

Semmy [17]

Once you combine it, you get 10w + 18

6 0

2 years ago

Read 2 more answers

Find the inverse function for

kifflom [539]

$\bf \stackrel{f(x)}{y}=\sqrt{2x-6}\qquad \qquad \stackrel{f^{-1}(x)}{y}=\cfrac{x^2+6}{2}$

that is correct hmmmm, yes, I think the restriction is also correct, it has to be x > 0, because, the domain on the original, has a restriction of x⩾3, otherwise the radicand turns negative.

now, the graph of that original function is a parabola sideways opening to the right, if you include both sides of the vertex of the parabola, it will not pass the vertical-line-test and not be a function, but if you restrict it to only positive roots, so it'll only be on the 1st quadrant, then it functions ok.

that means, the range of the original function, has to stick to only 0 or positive root values, now, recall that the range of the original is the domain of the inverse. Therefore, the domain of the inverse, will have to stick to only 0 or positive values, since it's bound to the same restriction as the original's range.

notice the picture below of both, the dashed section is the positive range for each, if you include it, the original will fail the vertical-line-test, and the inverse will fail the horizontal-line-test.

recall that for a function to have an inverse, they both must pass the vertical and horizontal line test, or be a one-to-one functions.

6 0

3 years ago