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ch4aika [34]
3 years ago
15

Answer how do I translate the sentence into an equation

Mathematics
2 answers:
Katen [24]3 years ago
7 0
2(w-5)=6. ...................
masha68 [24]3 years ago
3 0
2 * (w - 5) = 6

What you do is read the sentence and make an equation. So let's do that.

"Twice the difference of a number and 5 is equal to 6"

There's several parts. "Twice the difference" indicates that you're multiplying by 2, and "difference of a number and 5" would indicate subtraction. And finally, "is equal to 6" would indicate an equality. So let's make the equation.

"Twice the difference"
2 * ?

"difference of a number and 5"
2 * (w - 5)

""is equal to 6"
2 * (w - 5) = 6

So your desired equation is
2 * (w - 5) = 6

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The line l is tangent to the circle with equation x² + y2 = 169 at the point P.
timofeeve [1]

Given:

The equation of a circle is

x^2+y^2=169

A tangent line l to the circle touches the circle at point P(12,5).

To find:

The gradient of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

m=\dfrac{y_2-y_1}{x_2-x_1}

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

m_1=\dfrac{5-0}{12-0}

m_1=\dfrac{5}{12}

We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

m\times m_1=-1

m\times \dfrac{5}{12}=-1

m=-\dfrac{12}{5}

Therefore, the gradient or slope of the tangent line l is -\dfrac{12}{5} .

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2 years ago
The coordinates of a point on a coordinate grid are (−2, 6). The point is reflected across the x-axis to obtain a new point. The
Kipish [7]
So when you reflect the x-axis, you change the y negative. So (x,y) would be (x,-y). so it would be (-2, -6). If you want to reflect over the y-axis, it would be   (-x, y).
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3 years ago
An Amazon driver drives two different routes:
34kurt

Answer:

Step-by-step explanation:

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choose the equation in point slope form for the line that is perpendicular to the given line and passing through the given point
alexdok [17]

We want to determine the equation in point slope form for the line that is perpendicular to the given line and passing through the point (5.6) .

The equation and the point is;

y=\frac{2}{3}x+9,(5,6)

We know that for two lines to be perpendicular, the product of their slopes should be -1.

Therefore, the slope of the perpendicular should be;

m=-\frac{1}{(\frac{2}{3})}=-\frac{3}{2}

The second condition is that the line must pass through the point (5,6) , to do thid, we write the equation of the line in point slope form which is;

y-y_1=m(x-x_{1_{}})

Inserting all values, we have,

y-6=.-\frac{3}{2}(x-5)

That is the final answer.

6 0
1 year ago
What is m∠A?<br> Help please this is overdue
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Can you show the multiple choice one
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