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3 years ago

13

Translate the sentence into an equation.

1 answer:

Andreas93 [3]3 years ago

3 0

Question:

Twice the difference of a number and 5 is equal to 9 .

Answer:

$2x - 5 = 9$

Step-by-step explanation:

Required

Translate

Let the number be x

Twice the number, x is $2x$

The difference between (above) and 5 is $2x - 5$

This equals to 9.

So, the expression becomes

$2x - 5 = 9$

Solving further:

$2x = 5 + 9$

$2x = 14$

Divide through by 2

$x = 7$

<em>Hence, the number is 7</em>

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3 years ago

What is the tangent ratio for

yawa3891 [41]

Answer:

tan T = 3/4

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Step-by-step explanation:

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3 years ago

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2 years ago

Which equation would you use to find how high the bird is flying?

damaskus [11]

Answer:

The first one

Step-by-step explanation:

An easy way is SOH CAH TOA

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3 years ago

Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to

Solnce55 [7]

According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

<h3>What is the equation of the circle?</h3>

The equation of a circle of center $(x_0,y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In this problem, we have that the center is at point (0,2), hence:

$x^2 + (y - 2)^2 = r^2$

It goes through point (3,3), hence:

$3^2 + (3 - 2)^2 = r^2$

$r^2 = 10$

Hence, the equation is:

$x^2 + (y - 2)^2 = 10$

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

$y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))$

Applying implicit differentiation, we have that:

$2x + 2y\frac{dy}{dy} = 0$

$\frac{dy}{dx} = -\frac{x}{y}$

Point W(3,3), hence:

$(x_0, y_0) = (3,3)$

$\frac{dy}{dx} = -\frac{3}{3} = -1$

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

More can be learned about the equation of a tangent line at brainly.com/question/8174665

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2 years ago